Courant Institute of Mathematical Sciences
Encyclopedia
The Courant Institute of Mathematical Sciences (CIMS) is an independent division of New York University
(NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. The Director of the Courant Institute directly reports to New York University's Provost and President and works closely with deans and directors of other NYU colleges and divisions respectively. The Courant Institute is named after Richard Courant
, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972.
The Courant Institute of Mathematical Sciences is considered one of the most prestigious and leading mathematics schools and mathematical sciences research centers in the world. The Courant Institute of Mathematical Sciences is ranked #1 in applied mathematical research, #5 in citation impact worldwide, and #12 in citation worldwide. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive research in pure mathematical areas, such as partial differential equations, probability
and geometry
, as well as applied mathematical areas, such as computational biology
, computational neuroscience
, and mathematical finance
. The Mathematics Department of the Courant Institute has 18 members of the National Academy of Sciences
(more than any other mathematics department in the U.S.) and five members of the National Academy of Engineering
. Four faculty members have been awarded the National Medal of Science, one was honored with the prestigious Kyoto Prize, and nine have received career awards from the National Science Foundation. Courant Institute professors Peter Lax
, S. R. Srinivasa Varadhan
, Mikhail Gromov won the 2005, 2007 and 2009 Abel Prize
respectively for their research in partial differential equations, probability and geometry.
Although run independently by the Courant Institute, the undergraduate programs and graduate programs at the Courant Institute are formally associated with the NYU College of Arts and Science and NYU Graduate School of Arts and Science respectively.
, mathematical analysis
and scientific computation. There is emphasis on partial differential equations and their applications. The mathematics department is constantly ranked in the United States as #1 in applied mathematics. Other strong points are analysis (currently #5) and geometry (currently #10). Within the field of computer science
, CIMS concentrates in theory
, programming languages, computer graphics
and parallel computing
. The computer science program is ranked 28th among computer science programs in the US.
, Master of Science
and Ph.D.
degree programs in both mathematics
and computer science
with program acceptance rates ranging from 3% to 29%. The overall acceptance rate for all CIMS graduate programs is 15%, and program admissions reviews are holistic. A high undergraduate GPA and high GRE score are typically prerequisites to admission to its graduate programs but are not required. Majority of accepted candidates met these standards. However, character and personal qualities and evidence of strong quantitative skills are very important admission factors. Consistent with its scientific breadth, the Institute welcomes applicants whose primary background is in quantitative fields such as economics, engineering, physics, or biology, as well as mathematics. For doctoral programs, research experience is required. Undergraduate program admissions are not directly administrated by CIMS but by the NYU undergraduate admissions office of College of Arts and Science.
The Graduate Department of Mathematics at the Courant Institute offers balanced training in mathematics and its applications in the broadest sense. The Department occupies a leading position in pure and applied mathematics, especially in ordinary and partial differential equations, probability theory and stochastic processes, differential geometry, numerical analysis and scientific computation, mathematical physics, mathematical finance, material science, fluid dynamics, math biology, Atmosphere and Ocean science, and Computational Biology. The Mathematical Finance program is considered one of the best quantitative finance programs in the US with an acceptance rate of 8% and job placement rate of nearly 100% at time of graduation; it also offers a dual degree program in conjunction with the Stern School of Business.
The Graduate Department of Computer Science offers a PhD in computer science. In addition it offers Master of Science degrees in computer science, information systems (in conjunction with the Stern School of Business), and in scientific computing. For the PhD program, every PhD computer science student must receive a grade of A or A- on the final examination for algorithms, systems, applications, and a PhD-level course chosen by the student that does not satisfy the first three requirements, such as cryptography and numerical methods. Students may take the final exam for any these courses without being enrolled in the course.
The Computer Science Masters program offers instruction in the fundamental principles, design and applications of computer systems and computer technologies. Students who obtain an MS degree in computer science are qualified to do significant development work in the computer industry or important application areas. Those who receive a doctoral degree are in a position to hold faculty appointments and do research and development work at the forefront of this rapidly changing and expanding field. The emphasis for the MS in Information Systems program is on the use of computer systems in business. For the Master of Science in Scientific Computing, it is designed to provide broad training in areas related to scientific computing using modern computing technology and mathematical modeling arising in various applications. The core of the curriculum for all computer science graduate students consists of courses in algorithms, programming languages, compilers, artificial intelligence, database systems, and operating systems. Advanced courses are offered in many areas such as natural language processing, the theory of computation, computer vision, software engineering, compiler optimization techniques, computer graphics, distributed computing, multimedia, networks, cryptography and security, groupware and computational finance. Adjunct faculty, drawn from outside academia, teach special topics courses in their areas of expertise.
Most Courant PhD students are fully funded and are paid with a 9-month stipend. Doctoral students take advanced courses in their areas of specialization, followed by a period of research and the preparation and defense of the doctoral thesis. Courant Students in Ph.D. programs may earn a master's degree while in progress toward the Ph.D program. Areas where there are special funding opportunities for graduate students include: Mathematics, Mechanics, and Material Sciences, Number Theory, Probability, and Scientific Computing. All PhD candidates are required to take a written comprehensive examination, oral preliminary examination, and create a dissertation defense. Each supported doctoral student has access to his or her own dedicated Unix workstation. Many other research machines provide for abundant access to a variety of computer architectures, including a distributed computing laboratory.
The mathematics and computer science undergraduate and graduate programs at the Courant Institute has a strong focus on building quantitative and problem-solving skills through teamwork. An undergraduate computer science course on Computer Vision, for example, requires students to be in small teams to use and apply recently developed algorithms by researchers around the world on their own. One example assignment requires a student to study a paper written by researchers from Microsoft Research Cambridge in order to do an assignment on Segmentation and Graph Cut. To encourage innovation, students in advanced coursework are allowed to use any means to complete their assignment, such as a programming language of their choice and hacking a Kinect through legal means.
The Courant Institute's undergraduate program also encourages students to engage in research with professors and graduate students. About 30% of undergraduate students participate in academic research through the competitive Research Experiences for Undergraduates
program funded by the National Science Foundation
or research funded primarily by the Dean's Undergraduate Research Fund. The Courant Institute has one of the highest percentage of undergraduate students doing research within New York University
. With permission of their advisers or faculty, undergraduate students may take graduate-level courses. Courant undergraduate students through the years and alumni contribute greatly to the vitality of the Mathematics and Computer Science departments. Some accomplishments by current and former undergraduate Courant students include an Apple Worldwide Developers Conference Scholarship Winner, development of Object Category Recognition Techniques to sort garbage for recycling for the NYC's trash program, placement in 7th out of 42 in the ACM International Collegiate Programming Contest (ICPC), and inventors of the Diaspora (software)
social network.
The undergraduate division of the Department of Mathematics offers a Bachelor of Arts (BA) degree in Mathematics. It consists of a wide variety of courses in pure and applied mathematics taught by a distinguished faculty with a tradition of excellence in teaching and research. Students in advanced coursework often participate in formulating models outside the field of mathematics as well as in analyzing them. For example, an advanced mathematics course in Computers in Medicine and Biology requires a student to construct two computer models selected from the following list: circulation, gas exchange in the lung, control of cell volume, and the renal countercurrent mechanism. The student uses the models to conduct simulated physiological experiments.
The undergraduate division of the Department of Computer Science offers a Bachelor of Arts (BA) degree, two minors (one in computer science, and one in web programming and applications) and a joint minor in computer science/mathematics. The BA degree can also be pursued with honors. Students may combine the degree with other majors within the College of Arts and Science to create a personalized joint major. Two specific combined degrees are the joint major in computer science/economics and the joint major in computer science/mathematics. The Department of Computer Science also offers a BS/BE Dual Degree in computer science and engineering and an accelerated master's program available to qualifying undergraduates in conjunction with NYU-Poly.
The minor in computer science is designed primarily for mathematics and science majors whose work will require basic programming skills. The minor in web programming and applications is designed for humanities and social sciences students who plan to use computer application software such as spreadsheets, desktop publishing, multimedia, and Internet software extensively in their careers.
Recent CIMS doctoral placements for undergraduate and Master graduates include the following:
and stochastic processes, scientific computation, mathematical physics
, and fluid dynamics
. A special feature of the Courant Institute is its highly interdisciplinary character — with courses, seminars, and active research collaborations in areas such as financial mathematics, materials science, visual neural science, atmosphere/ocean science, cardiac fluid dynamics, plasma physics, and mathematical genomics. Another special feature is the central role of analysis
, which provides a natural bridge between pure and applied mathematics. The Department of Computer Science has strengths in multimedia, programming languages and systems, distributed and parallel computing, and the analysis of algorithms
.
Since 1948, CIMS has maintained its own research journal, Communications on Pure and Applied Mathematics
, which currently has the highest impact factor internationally among mathematics journals. It publishes original research originating from or solicited by the Courant Institute, typically in the fields of applied mathematics, mathematical analysis, or mathematical physics. Its contents over the years amount to a modern history of the theory of partial differential equations. Most articles originate within the Institute or are specially invited. The journal represents the full spectrum of the Institute's mathematical research activity. CIMS publishes its own series of lecture notes. They are based on the research interests of the faculty and visitors of the Courant Institute. These lecture notes originated in advanced graduate courses and mini-courses offered at the Courant Institute.
campus. Unlike many NYU buildings, it does not have an NYU flag. The building contains lecture halls on the first and second floors, two meeting/seminar rooms on every floor from the 3rd floor to the 13th floor, a large common lounge on the 13th floor used for studying and open discussions in topics of mathematics and computer science, and its own extensive Courant library on the 12th floor. It also houses a variety of well-equipped laboratories and offices in Warren Weaver Hall for students and faculty to do research and discuss topics in mathematical sciences. In addition to Warren Weaver Hall, the Computer Science Department is located at 715/719 Broadway, where most of its laboratories and offices are located.
eServer BladeCenter system capable of peak performance of 4.5 TeraFlops. According to the TOP500 List, a ranking of supercomputers published at www.top500.org, CIMS’s supercomputer is the fastest in New York City and the 117th fastest supercomputer in the world. The acquisition of this supercomputer was funded by IBM
and federal funding and is used primarily for research by the faculty and graduate and undergraduate students of CIMS. Computers at CIMS run Windows XP Professional, Solaris, Mac OS X
, and Red Hat Enterprise Linux
operating systems. There are also many other specialized Linux-based operating systems for research purposes. Every faculty / student office room is fully equipped with scientific software and computer stations. Wi-Fi and X terminals are available in public CIMS locations and every faculty / student office.
All graduate students are provided with an CIMS account to access computers and other resources within the CIMS network upon request. Undergraduate students are only provided CIMS accounts with the approval of their advisor, sponsorship by a CIMS professor, advanced coursework, or for research purposes. CIMS computing resources are not accessible to non-CIMS students without sponsorship by a CIMS professor or approval by either the Department of Mathematics or Department of Computer Science. Faculty, staff, and students with CIMS account have access to free full-featured software provided by the MSDN Academic Alliance
and specialized computing resources used primarily for research.
. It comprises an experimental facility in fluid mechanics and other applied areas and a visualization and simulation facility. The Center for Atmosphere-Ocean Science is also housed at CIMS and is an interdisciplinary research and graduate program within the Courant Institute of Mathematical Sciences.
left Göttingen University in Germany to become a visiting professor at NYU. He was given the task of building up the Department of Mathematics at the NYU Graduate School of Arts and Science. He was later joined by Kurt O. Friedrichs
and James J. Stoker. In 1946, the department was renamed "Institute for Mathematics and Mechanics". Also in 1946, NYU Professor Morris Kline
focused on mathematical problems of electromagnetic wave propagation. This project gave rise to the Institute's Division of Wave Propagation and Applied Mathematics. In 1952, the U.S. Atomic Energy Commission installed one of the first (electronic) computers at New York University, which led to the creation of the Courant Mathematics and Computing Laboratory. The Division of Magnetofluid Dynamics was initiated by a project on plasma fusion by NYU Professor Harold Grad in 1954. The Institute was in the forefront of advanced hardware use, with an early IBM 7094 and the third produced CDC 6600
. The Division of Computational Fluid Dynamics
was created in 1978, arising from a project of NYU Professor Paul R. Garabedian
.
New York University
New York University is a private, nonsectarian research university based in New York City. NYU's main campus is situated in the Greenwich Village section of Manhattan...
(NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. The Director of the Courant Institute directly reports to New York University's Provost and President and works closely with deans and directors of other NYU colleges and divisions respectively. The Courant Institute is named after Richard Courant
Richard Courant
Richard Courant was a German American mathematician.- Life :Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there...
, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972.
The Courant Institute of Mathematical Sciences is considered one of the most prestigious and leading mathematics schools and mathematical sciences research centers in the world. The Courant Institute of Mathematical Sciences is ranked #1 in applied mathematical research, #5 in citation impact worldwide, and #12 in citation worldwide. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive research in pure mathematical areas, such as partial differential equations, probability
Probability
Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we arenot certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The...
and geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, as well as applied mathematical areas, such as computational biology
Computational biology
Computational biology involves the development and application of data-analytical and theoretical methods, mathematical modeling and computational simulation techniques to the study of biological, behavioral, and social systems...
, computational neuroscience
Computational neuroscience
Computational neuroscience is the study of brain function in terms of the information processing properties of the structures that make up the nervous system...
, and mathematical finance
Mathematical finance
Mathematical finance is a field of applied mathematics, concerned with financial markets. The subject has a close relationship with the discipline of financial economics, which is concerned with much of the underlying theory. Generally, mathematical finance will derive and extend the mathematical...
. The Mathematics Department of the Courant Institute has 18 members of the National Academy of Sciences
United States National Academy of Sciences
The National Academy of Sciences is a corporation in the United States whose members serve pro bono as "advisers to the nation on science, engineering, and medicine." As a national academy, new members of the organization are elected annually by current members, based on their distinguished and...
(more than any other mathematics department in the U.S.) and five members of the National Academy of Engineering
National Academy of Engineering
The National Academy of Engineering is a government-created non-profit institution in the United States, that was founded in 1964 under the same congressional act that led to the founding of the National Academy of Sciences...
. Four faculty members have been awarded the National Medal of Science, one was honored with the prestigious Kyoto Prize, and nine have received career awards from the National Science Foundation. Courant Institute professors Peter Lax
Peter Lax
Peter David Lax is a mathematician working in the areas of pure and applied mathematics. He has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields...
, S. R. Srinivasa Varadhan
S. R. Srinivasa Varadhan
Sathamangalam Ranga Iyengar Srinivasa Varadhan FRS is an Indian-American mathematician from Madras , Tamil Nadu, India.-Biography:...
, Mikhail Gromov won the 2005, 2007 and 2009 Abel Prize
Abel Prize
The Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians. The prize is named after Norwegian mathematician Niels Henrik Abel . It has often been described as the "mathematician's Nobel prize" and is among the most prestigious...
respectively for their research in partial differential equations, probability and geometry.
Although run independently by the Courant Institute, the undergraduate programs and graduate programs at the Courant Institute are formally associated with the NYU College of Arts and Science and NYU Graduate School of Arts and Science respectively.
Rankings
The Courant Institute specializes in applied mathematicsApplied mathematics
Applied mathematics is a branch of mathematics that concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge...
, mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
and scientific computation. There is emphasis on partial differential equations and their applications. The mathematics department is constantly ranked in the United States as #1 in applied mathematics. Other strong points are analysis (currently #5) and geometry (currently #10). Within the field of computer science
Computer science
Computer science or computing science is the study of the theoretical foundations of information and computation and of practical techniques for their implementation and application in computer systems...
, CIMS concentrates in theory
Computation
Computation is defined as any type of calculation. Also defined as use of computer technology in Information processing.Computation is a process following a well-defined model understood and expressed in an algorithm, protocol, network topology, etc...
, programming languages, computer graphics
Computer graphics
Computer graphics are graphics created using computers and, more generally, the representation and manipulation of image data by a computer with help from specialized software and hardware....
and parallel computing
Parallel computing
Parallel computing is a form of computation in which many calculations are carried out simultaneously, operating on the principle that large problems can often be divided into smaller ones, which are then solved concurrently . There are several different forms of parallel computing: bit-level,...
. The computer science program is ranked 28th among computer science programs in the US.
Admissions
The Courant Institute offers Bachelors of Arts, Bachelors of ScienceBachelors Of Science
Bachelors of Science is the stage name of Phil "Rene", Chris and Lukeino. They met in California and formed a successful act, quickly becoming one of the top drum and bass producers in the electronic music scene...
, Master of Science
Master of Science
A Master of Science is a postgraduate academic master's degree awarded by universities in many countries. The degree is typically studied for in the sciences including the social sciences.-Brazil, Argentina and Uruguay:...
and Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
degree programs in both mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and computer science
Computer science
Computer science or computing science is the study of the theoretical foundations of information and computation and of practical techniques for their implementation and application in computer systems...
with program acceptance rates ranging from 3% to 29%. The overall acceptance rate for all CIMS graduate programs is 15%, and program admissions reviews are holistic. A high undergraduate GPA and high GRE score are typically prerequisites to admission to its graduate programs but are not required. Majority of accepted candidates met these standards. However, character and personal qualities and evidence of strong quantitative skills are very important admission factors. Consistent with its scientific breadth, the Institute welcomes applicants whose primary background is in quantitative fields such as economics, engineering, physics, or biology, as well as mathematics. For doctoral programs, research experience is required. Undergraduate program admissions are not directly administrated by CIMS but by the NYU undergraduate admissions office of College of Arts and Science.
Graduate Program
The Department of Mathematics at the Courant Institute offers PhDs in Mathematics, Atmosphere-Ocean Science, and Computational Biology; Masters of Science in Mathematical Finance, Mathematics, and Scientific Computing.The Graduate Department of Mathematics at the Courant Institute offers balanced training in mathematics and its applications in the broadest sense. The Department occupies a leading position in pure and applied mathematics, especially in ordinary and partial differential equations, probability theory and stochastic processes, differential geometry, numerical analysis and scientific computation, mathematical physics, mathematical finance, material science, fluid dynamics, math biology, Atmosphere and Ocean science, and Computational Biology. The Mathematical Finance program is considered one of the best quantitative finance programs in the US with an acceptance rate of 8% and job placement rate of nearly 100% at time of graduation; it also offers a dual degree program in conjunction with the Stern School of Business.
The Graduate Department of Computer Science offers a PhD in computer science. In addition it offers Master of Science degrees in computer science, information systems (in conjunction with the Stern School of Business), and in scientific computing. For the PhD program, every PhD computer science student must receive a grade of A or A- on the final examination for algorithms, systems, applications, and a PhD-level course chosen by the student that does not satisfy the first three requirements, such as cryptography and numerical methods. Students may take the final exam for any these courses without being enrolled in the course.
The Computer Science Masters program offers instruction in the fundamental principles, design and applications of computer systems and computer technologies. Students who obtain an MS degree in computer science are qualified to do significant development work in the computer industry or important application areas. Those who receive a doctoral degree are in a position to hold faculty appointments and do research and development work at the forefront of this rapidly changing and expanding field. The emphasis for the MS in Information Systems program is on the use of computer systems in business. For the Master of Science in Scientific Computing, it is designed to provide broad training in areas related to scientific computing using modern computing technology and mathematical modeling arising in various applications. The core of the curriculum for all computer science graduate students consists of courses in algorithms, programming languages, compilers, artificial intelligence, database systems, and operating systems. Advanced courses are offered in many areas such as natural language processing, the theory of computation, computer vision, software engineering, compiler optimization techniques, computer graphics, distributed computing, multimedia, networks, cryptography and security, groupware and computational finance. Adjunct faculty, drawn from outside academia, teach special topics courses in their areas of expertise.
Most Courant PhD students are fully funded and are paid with a 9-month stipend. Doctoral students take advanced courses in their areas of specialization, followed by a period of research and the preparation and defense of the doctoral thesis. Courant Students in Ph.D. programs may earn a master's degree while in progress toward the Ph.D program. Areas where there are special funding opportunities for graduate students include: Mathematics, Mechanics, and Material Sciences, Number Theory, Probability, and Scientific Computing. All PhD candidates are required to take a written comprehensive examination, oral preliminary examination, and create a dissertation defense. Each supported doctoral student has access to his or her own dedicated Unix workstation. Many other research machines provide for abundant access to a variety of computer architectures, including a distributed computing laboratory.
Undergraduate Program
The Courant Institute houses New York University's undergraduate programs in computer science and mathematics. In addition, CIMS provides opportunities and facilities for undergraduate students to do and discuss mathematical research, including a undergraduate math lounge on the 11th floor and a undergraduate computer science lounge on the 3rd floor of Warren Weaver Hall.The mathematics and computer science undergraduate and graduate programs at the Courant Institute has a strong focus on building quantitative and problem-solving skills through teamwork. An undergraduate computer science course on Computer Vision, for example, requires students to be in small teams to use and apply recently developed algorithms by researchers around the world on their own. One example assignment requires a student to study a paper written by researchers from Microsoft Research Cambridge in order to do an assignment on Segmentation and Graph Cut. To encourage innovation, students in advanced coursework are allowed to use any means to complete their assignment, such as a programming language of their choice and hacking a Kinect through legal means.
The Courant Institute's undergraduate program also encourages students to engage in research with professors and graduate students. About 30% of undergraduate students participate in academic research through the competitive Research Experiences for Undergraduates
Research Experiences for Undergraduates
Research Experiences for Undergraduates are competitive summer research programs in the United States for undergraduates studying science, engineering, or mathematics. Such programs usually focus on targeting women and underrepresented minorities...
program funded by the National Science Foundation
National Science Foundation
The National Science Foundation is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health...
or research funded primarily by the Dean's Undergraduate Research Fund. The Courant Institute has one of the highest percentage of undergraduate students doing research within New York University
New York University
New York University is a private, nonsectarian research university based in New York City. NYU's main campus is situated in the Greenwich Village section of Manhattan...
. With permission of their advisers or faculty, undergraduate students may take graduate-level courses. Courant undergraduate students through the years and alumni contribute greatly to the vitality of the Mathematics and Computer Science departments. Some accomplishments by current and former undergraduate Courant students include an Apple Worldwide Developers Conference Scholarship Winner, development of Object Category Recognition Techniques to sort garbage for recycling for the NYC's trash program, placement in 7th out of 42 in the ACM International Collegiate Programming Contest (ICPC), and inventors of the Diaspora (software)
Diaspora (software)
Diaspora is a free personal web server that implements a distributed social networking service. Installations of the software form nodes which make up the distributed Diaspora social network....
social network.
The undergraduate division of the Department of Mathematics offers a Bachelor of Arts (BA) degree in Mathematics. It consists of a wide variety of courses in pure and applied mathematics taught by a distinguished faculty with a tradition of excellence in teaching and research. Students in advanced coursework often participate in formulating models outside the field of mathematics as well as in analyzing them. For example, an advanced mathematics course in Computers in Medicine and Biology requires a student to construct two computer models selected from the following list: circulation, gas exchange in the lung, control of cell volume, and the renal countercurrent mechanism. The student uses the models to conduct simulated physiological experiments.
The undergraduate division of the Department of Computer Science offers a Bachelor of Arts (BA) degree, two minors (one in computer science, and one in web programming and applications) and a joint minor in computer science/mathematics. The BA degree can also be pursued with honors. Students may combine the degree with other majors within the College of Arts and Science to create a personalized joint major. Two specific combined degrees are the joint major in computer science/economics and the joint major in computer science/mathematics. The Department of Computer Science also offers a BS/BE Dual Degree in computer science and engineering and an accelerated master's program available to qualifying undergraduates in conjunction with NYU-Poly.
The minor in computer science is designed primarily for mathematics and science majors whose work will require basic programming skills. The minor in web programming and applications is designed for humanities and social sciences students who plan to use computer application software such as spreadsheets, desktop publishing, multimedia, and Internet software extensively in their careers.
Graduation
The Courant Institute encourages students at any stage of their studies, including the very early stage, to seek summer employment opportunities at various government and industry facilities. In the past few years, Courant students have taken summer internships at the National Institute of Health, Los Alamos National Laboratory, Lawrence Berkeley National Laboratory, Woods Hole Oceanographic Institution, Lawrence Livermore National Laboratory and NASA, as well as Wall Street firms. Such opportunities can greatly expand students' understanding of the mathematical sciences, offer them possible areas of interest for thesis research, and enhance their career options. Members of the faculty (and in particular the students' academic advisors) can assist students in finding appropriate summer employment. All graduate students are given official advisers while undergraduates are provided mentors from Courant faculty.Recent CIMS doctoral placements for undergraduate and Master graduates include the following:
- Columbia UniversityColumbia UniversityColumbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...
- Columbia Law SchoolColumbia Law SchoolColumbia Law School, founded in 1858, is one of the oldest and most prestigious law schools in the United States. A member of the Ivy League, Columbia Law School is one of the professional graduate schools of Columbia University in New York City. It offers the J.D., LL.M., and J.S.D. degrees in...
- University of ChicagoUniversity of ChicagoThe University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
- Harvard UniversityHarvard UniversityHarvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
- Carnegie Mellon UniversityCarnegie Mellon UniversityCarnegie Mellon University is a private research university in Pittsburgh, Pennsylvania, United States....
- UC Berkeley
- University of MinnesotaUniversity of MinnesotaThe University of Minnesota, Twin Cities is a public research university located in Minneapolis and St. Paul, Minnesota, United States. It is the oldest and largest part of the University of Minnesota system and has the fourth-largest main campus student body in the United States, with 52,557...
- Ohio State UniversityOhio State UniversityThe Ohio State University, commonly referred to as Ohio State, is a public research university located in Columbus, Ohio. It was originally founded in 1870 as a land-grant university and is currently the third largest university campus in the United States...
- Max Planck Institute for Mathematics
- IBM T.J. Watson Research Center
- Instituto Superior TécnicoInstituto Superior TécnicoInstituto Superior Técnico is a reputed school of engineering, part of Universidade Técnica de Lisboa . IST is the largest and the most prestigious school of engineering in Portugal...
(Portugal) - University of WashingtonUniversity of WashingtonUniversity of Washington is a public research university, founded in 1861 in Seattle, Washington, United States. The UW is the largest university in the Northwest and the oldest public university on the West Coast. The university has three campuses, with its largest campus in the University...
- Caltech
- Rutgers UniversityRutgers UniversityRutgers, The State University of New Jersey , is the largest institution for higher education in New Jersey, United States. It was originally chartered as Queen's College in 1766. It is the eighth-oldest college in the United States and one of the nine Colonial colleges founded before the American...
- Stony Brook University
- St. John's University
Academic research
The Department of Mathematics at CIMS occupies a leading position in analysis and applied mathematics, including partial differential equations, differential geometry, dynamical systems, probabilityProbability
Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we arenot certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The...
and stochastic processes, scientific computation, mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
, and fluid dynamics
Fluid dynamics
In physics, fluid dynamics is a sub-discipline of fluid mechanics that deals with fluid flow—the natural science of fluids in motion. It has several subdisciplines itself, including aerodynamics and hydrodynamics...
. A special feature of the Courant Institute is its highly interdisciplinary character — with courses, seminars, and active research collaborations in areas such as financial mathematics, materials science, visual neural science, atmosphere/ocean science, cardiac fluid dynamics, plasma physics, and mathematical genomics. Another special feature is the central role of analysis
Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle , though analysis as a formal concept is a relatively recent development.The word is...
, which provides a natural bridge between pure and applied mathematics. The Department of Computer Science has strengths in multimedia, programming languages and systems, distributed and parallel computing, and the analysis of algorithms
Analysis of algorithms
To analyze an algorithm is to determine the amount of resources necessary to execute it. Most algorithms are designed to work with inputs of arbitrary length...
.
Since 1948, CIMS has maintained its own research journal, Communications on Pure and Applied Mathematics
Communications on Pure and Applied Mathematics
Communications on Pure and Applied Mathematics is a scientific journal which is associated with the Courant Institute of Mathematical Sciences. It publishes original research originating from or solicited by the institute, typically in the fields of applied mathematics, mathematical analysis, or...
, which currently has the highest impact factor internationally among mathematics journals. It publishes original research originating from or solicited by the Courant Institute, typically in the fields of applied mathematics, mathematical analysis, or mathematical physics. Its contents over the years amount to a modern history of the theory of partial differential equations. Most articles originate within the Institute or are specially invited. The journal represents the full spectrum of the Institute's mathematical research activity. CIMS publishes its own series of lecture notes. They are based on the research interests of the faculty and visitors of the Courant Institute. These lecture notes originated in advanced graduate courses and mini-courses offered at the Courant Institute.
Warren Weaver Hall & 715/719 Broadway
CIMS consists of the NYU Departments of Mathematics and Computer Science as well as a variety of research activities. It is housed in Warren Weaver Hall on Mercer Street in NYU's Greenwich VillageGreenwich Village
Greenwich Village, , , , .in New York often simply called "the Village", is a largely residential neighborhood on the west side of Lower Manhattan in New York City. A large majority of the district is home to upper middle class families...
campus. Unlike many NYU buildings, it does not have an NYU flag. The building contains lecture halls on the first and second floors, two meeting/seminar rooms on every floor from the 3rd floor to the 13th floor, a large common lounge on the 13th floor used for studying and open discussions in topics of mathematics and computer science, and its own extensive Courant library on the 12th floor. It also houses a variety of well-equipped laboratories and offices in Warren Weaver Hall for students and faculty to do research and discuss topics in mathematical sciences. In addition to Warren Weaver Hall, the Computer Science Department is located at 715/719 Broadway, where most of its laboratories and offices are located.
Courant Institute Library
The Courant Institute Library contains one of the United States's most complete mathematics collections with more than 275 journals and 54,000 volumes. Faculty and students at CIMS have access to MathSciNet and Web of Science (also known as the Science Citation Index), and a vast database containing hundred thousands of electronic journals related to mathematics and computer science.Computing resources
CIMS has a IBMIBM
International Business Machines Corporation or IBM is an American multinational technology and consulting corporation headquartered in Armonk, New York, United States. IBM manufactures and sells computer hardware and software, and it offers infrastructure, hosting and consulting services in areas...
eServer BladeCenter system capable of peak performance of 4.5 TeraFlops. According to the TOP500 List, a ranking of supercomputers published at www.top500.org, CIMS’s supercomputer is the fastest in New York City and the 117th fastest supercomputer in the world. The acquisition of this supercomputer was funded by IBM
IBM
International Business Machines Corporation or IBM is an American multinational technology and consulting corporation headquartered in Armonk, New York, United States. IBM manufactures and sells computer hardware and software, and it offers infrastructure, hosting and consulting services in areas...
and federal funding and is used primarily for research by the faculty and graduate and undergraduate students of CIMS. Computers at CIMS run Windows XP Professional, Solaris, Mac OS X
Mac OS X
Mac OS X is a series of Unix-based operating systems and graphical user interfaces developed, marketed, and sold by Apple Inc. Since 2002, has been included with all new Macintosh computer systems...
, and Red Hat Enterprise Linux
Red Hat Enterprise Linux
Red Hat Enterprise Linux is a Linux-based operating system developed by Red Hat and targeted toward the commercial market. Red Hat Enterprise Linux is released in server versions for x86, x86-64, Itanium, PowerPC and IBM System z, and desktop versions for x86 and x86-64...
operating systems. There are also many other specialized Linux-based operating systems for research purposes. Every faculty / student office room is fully equipped with scientific software and computer stations. Wi-Fi and X terminals are available in public CIMS locations and every faculty / student office.
All graduate students are provided with an CIMS account to access computers and other resources within the CIMS network upon request. Undergraduate students are only provided CIMS accounts with the approval of their advisor, sponsorship by a CIMS professor, advanced coursework, or for research purposes. CIMS computing resources are not accessible to non-CIMS students without sponsorship by a CIMS professor or approval by either the Department of Mathematics or Department of Computer Science. Faculty, staff, and students with CIMS account have access to free full-featured software provided by the MSDN Academic Alliance
MSDN Academic Alliance
MSDN Academic Alliance is a Microsoft program available to academic organizations, mainly colleges and universities, although there is also a high school version...
and specialized computing resources used primarily for research.
Major research resources
CIMS houses an advanced multi-million-dollar Courant Applied Mathematics Laboratory that opened in 1998, co-founded by Stephen Childress and Michael Shelley, and sponsored by US Department of Energy and the National Science FoundationNational Science Foundation
The National Science Foundation is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health...
. It comprises an experimental facility in fluid mechanics and other applied areas and a visualization and simulation facility. The Center for Atmosphere-Ocean Science is also housed at CIMS and is an interdisciplinary research and graduate program within the Courant Institute of Mathematical Sciences.
cSplash and notable student activities
cSplash
Every year, CIMS offers cSplash or Courant Splash, a festival mathematics and computer science program for high school students. It is a one-day festival of classes in the mathematical and computer sciences, designed and taught by graduate and undergraduate students, faculty, and others associated with the Courant Institute of Mathematical Sciences.Extracurricular activities
There are many clubs within the Courant Institute open to undergraduate and graduate students alike. These clubs include the Courant Student Organization, The ACM at NYU, Women-in-Computing (WinC), The Mathematics Society, Masters Association for Computer Science and many more. Additionally, CIMS sponsors and holds seminars and colloquiums almost daily on weekdays on topics of interest, in which some of whom may be held outside of Warren Weaver Hall. Many speakers of these seminars and colloquiums are experienced researchers from corporations from a variety of industries and researchers from private and government research laboratories, top universities, and NYU. Every academic year, CIMS holds award ceremonies, showcases, and parties to celebrate their faculty and undergraduate and graduate students and keep the academic atmosphere fun and enjoyable at CIMS. One such example is the NYU Computer Science Department Showcase held every semester to showcase projects that have been completed in various computer science graduate and undergraduate courses.History
In 1934, Richard CourantRichard Courant
Richard Courant was a German American mathematician.- Life :Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there...
left Göttingen University in Germany to become a visiting professor at NYU. He was given the task of building up the Department of Mathematics at the NYU Graduate School of Arts and Science. He was later joined by Kurt O. Friedrichs
Kurt O. Friedrichs
Kurt Otto Friedrichs was a noted German American mathematician. He was the co-founder of the Courant Institute at New York University and recipient of the National Medal of Science.-Biography:...
and James J. Stoker. In 1946, the department was renamed "Institute for Mathematics and Mechanics". Also in 1946, NYU Professor Morris Kline
Morris Kline
Morris Kline was a Professor of Mathematics, a writer on the history, philosophy, and teaching of mathematics, and also a popularizer of mathematical subjects.Kline grew up in Brooklyn and in Jamaica, Queens...
focused on mathematical problems of electromagnetic wave propagation. This project gave rise to the Institute's Division of Wave Propagation and Applied Mathematics. In 1952, the U.S. Atomic Energy Commission installed one of the first (electronic) computers at New York University, which led to the creation of the Courant Mathematics and Computing Laboratory. The Division of Magnetofluid Dynamics was initiated by a project on plasma fusion by NYU Professor Harold Grad in 1954. The Institute was in the forefront of advanced hardware use, with an early IBM 7094 and the third produced CDC 6600
CDC 6600
The CDC 6600 was a mainframe computer from Control Data Corporation, first delivered in 1964. It is generally considered to be the first successful supercomputer, outperforming its fastest predecessor, IBM 7030 Stretch, by about three times...
. The Division of Computational Fluid Dynamics
Computational fluid dynamics
Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical methods and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with...
was created in 1978, arising from a project of NYU Professor Paul R. Garabedian
Paul Garabedian
Paul Roesel Garabedian was an applied mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University...
.
Directors
- Richard CourantRichard CourantRichard Courant was a German American mathematician.- Life :Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there...
(1935–1958) - James J. StokerJames J. StokerJames Johnston Stoker was an American applied mathematician and engineer. He was director of the Courant Institute of Mathematical Sciences and is considered one of the founders of the institute, Courant and Friedrichs being the others. Stoker is known for his work in differential geometry and...
(1958–1966) - Kurt O. FriedrichsKurt O. FriedrichsKurt Otto Friedrichs was a noted German American mathematician. He was the co-founder of the Courant Institute at New York University and recipient of the National Medal of Science.-Biography:...
(1966–1967) - Jürgen MoserJürgen MoserJürgen Kurt Moser or Juergen Kurt Moser was a German-American mathematician.-Professional biography:...
(1967–1970) - Louis NirenbergLouis NirenbergLouis Nirenberg is a Canadian mathematician, and one of the outstanding analysts of the twentieth century. He has made fundamental contributions to linear and nonlinear partial differential equations and their application to complex analysis and geometry.He was born in Hamilton, Ontario and...
(1970–1972) - Peter LaxPeter LaxPeter David Lax is a mathematician working in the areas of pure and applied mathematics. He has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields...
(1972–1980) - S. R. Srinivasa VaradhanS. R. Srinivasa VaradhanSathamangalam Ranga Iyengar Srinivasa Varadhan FRS is an Indian-American mathematician from Madras , Tamil Nadu, India.-Biography:...
(1980–1984) - Cathleen Synge MorawetzCathleen Synge MorawetzCathleen Synge Morawetz is a mathematician. Morawetz's research was mainly in the study of the partial differential equations governing fluid flow, particularly those of mixed type occurring in transonic flow...
(1984–1988) - Henry McKean (1988–1994)
- David W. McLaughlin (1994–2002)
- Charles M. NewmanCharles M. NewmanCharles Michael "Chuck" Newman is a mathematician and a physicist at the Courant Institute of Mathematical Sciences of New York University...
(2002–2006) - Leslie GreengardLeslie GreengardLeslie F. Greengard is an American mathematician, doctor of medicine and computer scientist. He is co-inventor of the fast multipole method in 1987, recognised as one of the top-ten algorithms of the 20th century....
(2006–2011) - Gerard Ben Arous (2011–present)
Notable Courant faculty
This is a small selection of Courant's famous faculty over the years and a few of their distinctions:- Gérard Ben Arous, Davidson PrizeDavidson PrizeThe Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees.- History :In 1970, Rollo Davidson, a Fellow-elect of Churchill College, Cambridge died on Piz Bernina, a mountain in Switzerland...
- Marsha Berger, NASA Software of the Year, National Academy of Engineering, National Academy of Sciences
- Sylvain CappellSylvain CappellSylvain Edward Cappell , a Belgian American mathematician and former student of William Browder at Princeton University, is a topologist who has spent most of his career at the Courant Institute of Mathematical Sciences at NYU, where he is now the Silver Professor of Mathematics.He was born in...
, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes... - Sourav ChatterjeeSourav chatterjeeSourav Chatterjee is a mathematician, specializing in mathematical statistics and probability theory. Chatterjee is credited with work on Stein's method on Spin Glasses and also the Universality of Lindeberg principle. For these achievements, he was awarded a Sloan Fellowship in 2007 from the...
, Davidson PrizeDavidson PrizeThe Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees.- History :In 1970, Rollo Davidson, a Fellow-elect of Churchill College, Cambridge died on Piz Bernina, a mountain in Switzerland... - Jeff CheegerJeff CheegerJeff Cheeger , is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and its applications to topology and analysis.-Biography:He graduated from Harvard University with a B.A....
, Veblen Prize, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
,Max Planck Research Prize - Steven Childress, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
, American Physical Society Fellow - Demetrios ChristodoulouDemetrios ChristodoulouDemetrios Christodoulou is a Greek mathematician and physicist, who first became well known for his proof, together with Sergiu Klainerman, of the nonlinear stability of the Minkowski spacetime...
, 1993 MacArthur Fellow - Richard J. Cole, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
- Martin DavisMartin DavisMartin David Davis, is an American mathematician, known for his work on Hilbert's tenth problem . He received his Ph.D. from Princeton University in 1950, where his adviser was Alonzo Church . He is Professor Emeritus at New York University. He is the co-inventor of the Davis-Putnam and the DPLL...
, Steele Prize - Percy DeiftPercy DeiftPercy A. Deift is a mathematician known for his work on spectral theory, integrable systems, random matrix theory and Riemann–Hilbert problems....
, George Polya Prize, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
, National Academy of Sciences, American Academy of Arts and Science - Kurt O. FriedrichsKurt O. FriedrichsKurt Otto Friedrichs was a noted German American mathematician. He was the co-founder of the Courant Institute at New York University and recipient of the National Medal of Science.-Biography:...
, 1976 National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and... - Paul GarabedianPaul GarabedianPaul Roesel Garabedian was an applied mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University...
, NAS Prize in Applied Mathematics, National Academy of Sciences, American Academy of Arts and Science - Leslie GreengardLeslie GreengardLeslie F. Greengard is an American mathematician, doctor of medicine and computer scientist. He is co-inventor of the fast multipole method in 1987, recognised as one of the top-ten algorithms of the 20th century....
, Steele Prize, Packard Foundation Fellowship, NSF Presidential Young Investigator, National Academy of Engineering, National Academy of Sciences - Mikhail Gromov, 2009 Abel PrizeAbel PrizeThe Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians. The prize is named after Norwegian mathematician Niels Henrik Abel . It has often been described as the "mathematician's Nobel prize" and is among the most prestigious...
, Wolf Prize, Steele Prize, Kyoto Prize, Balzan Prize, - Helmut Hofer, Ostrowski Prize, National Academy of Sciences
- Fritz JohnFritz JohnFritz John was a German-born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation.-Biography:...
, 1984 MacArthur Fellow - Joseph B. Keller, 1988 National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, Wolf Prize - Michel KervaireMichel KervaireMichel André Kervaire was a French mathematician who made significant contributions to topology and algebra. He was the first to show the existence of topological n-manifolds with no differentiable structure , and computed the number of exotic spheres in dimensions greater than four...
- Subhash KhotSubhash KhotSubhash Khot is an Associate Professor at New York University. He is best known for his Unique games conjecture.Khot obtained his bachelor’s degree in Computer Science from the Indian Institute of Technology Bombay in 1999. He received his doctorate degree in computer science from Princeton...
, 2010 Alan T. Waterman AwardAlan T. Waterman AwardThe Alan T. Waterman Award is the United States's highest honorary award for scientists no older than 35. It is awarded on a yearly basis by the National Science Foundation. In addition to the medal, the awardee receives a grant of $500,000 to be used for advanced scientific research at the... - Morris KlineMorris KlineMorris Kline was a Professor of Mathematics, a writer on the history, philosophy, and teaching of mathematics, and also a popularizer of mathematical subjects.Kline grew up in Brooklyn and in Jamaica, Queens...
- Peter LaxPeter LaxPeter David Lax is a mathematician working in the areas of pure and applied mathematics. He has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields...
, Abel PrizeAbel PrizeThe Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians. The prize is named after Norwegian mathematician Niels Henrik Abel . It has often been described as the "mathematician's Nobel prize" and is among the most prestigious...
winner, 1986 National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, Steele Prize, Wolf Prize, Norbert Wiener Prize - Lin FanghuaLin FanghuaLin Fanghua , also sometimes written as Fang-Hua Lin, born 1959, is a Chinese-born American mathematician. Currently, he is the Silver Professor at the Courant Institute of Mathematical Sciences...
, Bocher Prize, American Academy of Arts and Science - Andrew MajdaAndrew MajdaAndrew Joseph Majda is an American mathematician and the Morse Professor of Arts and Sciences at the Courant Institute of Mathematical Sciences of New York University...
, NAS Prize in Applied Mathematics, John von Neumann Prize (SIAM) - Henry McKean, National Academy of Science, American Academy of Arts and Science
- David W. McLaughlin, National Academy of Science, American Academy of Arts and Science
- Bud Mishra, Association for Computing Machinery Fellow
- Cathleen Synge MorawetzCathleen Synge MorawetzCathleen Synge Morawetz is a mathematician. Morawetz's research was mainly in the study of the partial differential equations governing fluid flow, particularly those of mixed type occurring in transonic flow...
, 1998 National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, Steele Prize, Birkhoff Prize, Noether Lecturer, National Academy of Sciences, American Academy of Arts and Science - Jürgen MoserJürgen MoserJürgen Kurt Moser or Juergen Kurt Moser was a German-American mathematician.-Professional biography:...
, Wolf Prize, James Craig Watson MedalJames Craig Watson Medalthumb|right|400px|James Craig Watson MedalThe James Craig Watson Medal was established by the bequest of James Craig Watson, and is awarded by the U.S. National Academy of Sciences for contributions to astronomy.The recipients have been:-External links:*... - Assaf Naor, European Mathematical Society Prize, Packard Fellowship, Salem PrizeSalem PrizeThe Salem Prize, founded by the widow of Raphael Salem, is awarded every year to a young mathematician judged to have done outstanding work in Salem's field of interest, primarily the theory of Fourier series.-Past winners:...
- Charles NewmanCharles NewmanCharles Newman may refer to:* Charles Newman * Charles Newman * Charles M. Newman, mathematician...
, National Academy of Science, American Academy of Arts and Science - Louis NirenbergLouis NirenbergLouis Nirenberg is a Canadian mathematician, and one of the outstanding analysts of the twentieth century. He has made fundamental contributions to linear and nonlinear partial differential equations and their application to complex analysis and geometry.He was born in Hamilton, Ontario and...
, 1995 Crafoord PrizeCrafoord PrizeThe Crafoord Prize is an annual science prize established in 1980 by Holger Crafoord, a Swedish industrialist, and his wife Anna-Greta Crafoord...
, National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, Steele Prize, Bocher Prize, American Academy of Arts and Science - Charles S. PeskinCharles S. PeskinCharles S. Peskin is a professor of mathematics at the Courant Institute of Mathematical Sciences, New York University. He is a MacArthur Fellow, and a member of the National Academy of Science....
, 1983 MacArthur Fellow, Birkhoff Prize, National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, - Amir Pnueli, National Academy of Engineering, Israel Prize, Turing AwardTuring AwardThe Turing Award, in full The ACM A.M. Turing Award, is an annual award given by the Association for Computing Machinery to "an individual selected for contributions of a technical nature made to the computing community. The contributions should be of lasting and major technical importance to the...
, Association for Computing Machinery Fellow - Jack SchwartzJack SchwartzJacob Theodore "Jack" Schwartz was an American mathematician, computer scientist, and professor of computer science at the New York University Courant Institute of Mathematical Sciences. He was the designer of the SETL programming language and the NYU Ultracomputer...
, who developed the programming language SETLSETLSETL is a very-high level programming language based on the mathematical theory of sets. It was originally developed by Jack Schwartz at the NYU Courant Institute of Mathematical Sciences in the late 1960s....
at NYU - Michael J. ShelleyMichael Shelley (mathematician)Michael J. Shelley is an American applied mathematician who works on the modeling and simulation of complex systems arising in physics and biology...
, American Physical Society Fellow, François Naftali Frenkiel Award (APS) - Jonathan Sondow
- Joel SpencerJoel SpencerJoel Spencer is an American mathematician. He is a combinatorialist who has worked on probabilistic methods in combinatorics and on Ramsey theory. He received his doctorate from Harvard University in 1970, under the supervision of Andrew Gleason...
- S. R. Srinivasa VaradhanS. R. Srinivasa VaradhanSathamangalam Ranga Iyengar Srinivasa Varadhan FRS is an Indian-American mathematician from Madras , Tamil Nadu, India.-Biography:...
, Abel PrizeAbel PrizeThe Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians. The prize is named after Norwegian mathematician Niels Henrik Abel . It has often been described as the "mathematician's Nobel prize" and is among the most prestigious...
winner, Steele Prize, National Academy of Sciences, American Academy of Arts and Science, Fellow of the Royal SocietyRoyal SocietyThe Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"... - Akshay VenkateshAkshay VenkateshAkshay Venkatesh is an Indian Australian mathematician. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces and ergodic theory...
, Salem PrizeSalem PrizeThe Salem Prize, founded by the widow of Raphael Salem, is awarded every year to a young mathematician judged to have done outstanding work in Salem's field of interest, primarily the theory of Fourier series.-Past winners:...
, Packard Fellowship - Margaret H. Wright, National Academy of Science, National Academy of Engineering
- Lai-Sang Young, National Academy of Science, Satter Prize, Guggenheim FellowshipGuggenheim FellowshipGuggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
, American Academy of Arts and Science - Victor ShoupVictor ShoupVictor Shoup is a computer scientist and mathematician. He obtained a PhD in computer science from the University of Wisconsin–Madison in 1989, and he did his undergraduate work at the University of Wisconsin-Eau Claire. He is currently a professor at the Courant Institute of Mathematical Sciences...
, who with Ronald Cramer developed the Cramer–Shoup cryptosystem
Notable Courant alumni
This is a small selection of Courant's alumni:- Anjelina BelakovskaiaAnjelina BelakovskaiaAnjelina Belakovskaia is a United States chess player who has achieved the FIDE Woman Grandmaster and International Master titles.She is a three-time U.S...
(Masters in Finance 2001), U.S. Women's Chess Champion. - Anita BorgAnita BorgAnita Borg was an American computer scientist. She founded the Institute for Women and Technology and the Grace Hopper Celebration of Women in Computing. She was born Anita Borg Naffz in Chicago, Illinois...
(PhD 1981), founding director of the Institute for Women and Technology (IWT) - Charles EpsteinCharles EpsteinCharles Epstein is Professor of Mathematics at the University of Pennsylvania, Philadelphia.-Research interests:Epstein is an analyst and applied mathematician....
(PhD 1983), hyperbolic geometry - Corwin HanschCorwin HanschCorwin Herman Hansch was a Professor of Chemistry at Pomona College in California. He became known as the 'father of computer-assisted molecule design.'-Early Life and Childhood:...
(PhD 1944), statistics - Joseph B. Keller, 1988 National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and...
, Wolf Prize - Barbara Keyfitz (PhD 1970), Director of the Fields InstituteFields InstituteThe Fields Institute is an international centre for research in mathematical sciences at the University of Toronto. The institute is named for University of Toronto mathematician John Charles Fields, founder of the Fields Medal...
- David Korn (PhD 1969), creator of the Korn shellKorn shellThe Korn shell is a Unix shell which was developed by David Korn in the early 1980s and announced at USENIX on July 14, 1983. Other early contributors were AT&T Bell Labs developers Mike Veach, who wrote the emacs code, and Pat Sullivan, who wrote the vi code...
, - Sergiu KlainermanSergiu KlainermanSergiu Klainerman is a mathematician known for his contributions to the study of hyperbolic differential equations and general relativity. He is a Professor in the Department of Mathematics at Princeton University, a position he held since 1987. From 1980 to 1987 he was a faculty member at New...
(PhD 1978), Professor at Princeton - Morris KlineMorris KlineMorris Kline was a Professor of Mathematics, a writer on the history, philosophy, and teaching of mathematics, and also a popularizer of mathematical subjects.Kline grew up in Brooklyn and in Jamaica, Queens...
(PhD 1936), NYU Professor (1938–1975), - Peter LaxPeter LaxPeter David Lax is a mathematician working in the areas of pure and applied mathematics. He has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields...
(PhD 1949), recipient of the Abel PrizeAbel PrizeThe Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians. The prize is named after Norwegian mathematician Niels Henrik Abel . It has often been described as the "mathematician's Nobel prize" and is among the most prestigious...
, National Medal of Science, Steele Prize, Wolf Prize, Norbert Wiener Prize - Chen Li-anChen Li-anChen Li-an , sometimes spelled Chen Lu-an, is an electrical engineer, mathematician and former Taiwanese politician.-Biography:Son of former Vice President Chen Tsyr-shiou and earned his masters' and Ph.D. in mathematics from New York University. He had a close friendship with Wang Yung-ching, a...
, (PhD 1968) TaiwanTaiwanTaiwan , also known, especially in the past, as Formosa , is the largest island of the same-named island group of East Asia in the western Pacific Ocean and located off the southeastern coast of mainland China. The island forms over 99% of the current territory of the Republic of China following...
ese Minister of Defence - Louis NirenbergLouis NirenbergLouis Nirenberg is a Canadian mathematician, and one of the outstanding analysts of the twentieth century. He has made fundamental contributions to linear and nonlinear partial differential equations and their application to complex analysis and geometry.He was born in Hamilton, Ontario and...
(PhD 1949), Crafoord PrizeCrafoord PrizeThe Crafoord Prize is an annual science prize established in 1980 by Holger Crafoord, a Swedish industrialist, and his wife Anna-Greta Crafoord...
, Bôcher Prize, National Medal of ScienceNational Medal of ScienceThe National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and... - Brian J. McCartin (PhD 1981), recipient of the 2010 Chauvenet Prize,
- Cathleen Morawetz (PhD 1950), National Medal of Science, Birkhoff Prize, Lifetime Achievement Award from the AMSAMS-Companies:*AMS *Auxiliary Medical Services* Austria Mikro Systeme, the old name of austriamicrosystems*American Management Systems*AMS Pictures*Arbiter Modeling Systems Pty Ltd, Melbourne, Australia*Association of Muslim Schools...
, professor emeritus at Courant Institute - Stanley OsherStanley OsherStanley Osher is an American mathematician, known for his many contributions in shock capturing, level set methods, and PDE-based methods in computer vision and image processing...
(PhD 1966), Level Set method, professor at University of California, Los AngelesUniversity of California, Los AngelesThe University of California, Los Angeles is a public research university located in the Westwood neighborhood of Los Angeles, California, USA. It was founded in 1919 as the "Southern Branch" of the University of California and is the second oldest of the ten campuses... - George C. PapanicolaouGeorge C. PapanicolaouGeorge C. Papanicolaou is an American mathematician who specializes in applied and computational mathematics, partial differential equations, and stochastic processes. He is currently the Robert Grimmett Professor in Mathematics at Stanford University.-Biography:Papanicolaou was born on January...
(PhD 1969), professor at Stanford UniversityStanford UniversityThe Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is a private research university on an campus located near Palo Alto, California. It is situated in the northwestern Santa Clara Valley on the San Francisco Peninsula, approximately northwest of San... - Susan Mary Puglia (BA in Computer Science and Math), Vice President at IBMIBMInternational Business Machines Corporation or IBM is an American multinational technology and consulting corporation headquartered in Armonk, New York, United States. IBM manufactures and sells computer hardware and software, and it offers infrastructure, hosting and consulting services in areas...
- Gary RobinsonGary RobinsonGary Robinson is an American software engineer notable for his mathematical algorithms to fight spam.-Fighting spam with algorithms:In 2003, Robinson published an article in Linux Journal which discussed mathematical approaches for fighting spam which led to work along with Tim Peters on the...
, software engineerSoftware engineerA software engineer is an engineer who applies the principles of software engineering to the design, development, testing, and evaluation of the software and systems that make computers or anything containing software, such as computer chips, work.- Overview :...
noted for anti-spam algorithms - Shmuel WeinbergerShmuel WeinbergerThe mathematician Shmuel Aaron Weinberger is an American topologist. He completed a PhD in mathematics in 1982 at New York University under the direction of Sylvain Cappell. Weinberger was from 1994 to 1996 the Thomas A...
(PhD 1982), topology and geometry, Professor at University of ChicagoUniversity of ChicagoThe University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890... - Jacob WolfowitzJacob WolfowitzJacob Wolfowitz was a Polish-born American statistician and Shannon Award-winning information theorist. He was the father of former Deputy Secretary of Defense and World Bank Group President Paul Wolfowitz....
(PhD 1942),
See also
- Mikhail Gromov
- Peter LaxPeter LaxPeter David Lax is a mathematician working in the areas of pure and applied mathematics. He has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields...
- Amir Pnueli
- S. R. S. Varadhan
- List of New York University people
External links
- Courant Institute of Mathematical Sciences
- Department of Mathematics, New York University
- Applied Mathematics Laboratory
- New York University Computer Science
- New York University Mathematics in Finance
- New York University Scientific Computing
- http://www.cims.nyu.edu/~csplash/index.php
- NYU Mathematics Society, New York University
- http://www.cs.nyu.edu/~wincweb/
- http://www.cs.nyu.edu/~macsweb/
- http://www.cs.nyu.edu/~acmweb/wordpress/