Linda Keen
Encyclopedia
Linda Jo Goldway Keen is a mathematician
and Professor
of Mathematics
and Computer science
at Lehman College
and the Graduate Center of City University of New York where she has worked since 1965. As a high school student she attended the Bronx High School of Science. She received her Bachelor of Science
degree from the City College of New York
, then studied at the Courant Institute of Mathematical Sciences
, earning her Doctor of Philosophy
in mathematics in 1964. She wrote her thesis on Riemann surfaces under the direction of Lipman Bers
at NYU
.
In addition to studying Riemann surface
s, Keen has worked in hyperbolic geometry
, Kleinian group
s and Fuchsian group
s, complex analysis
, and hyperbolic dynamics. In the field of hyperbolic geometry, she is known for the Collar lemma.
Keen has worked at the Institute for Advanced Study
, Hunter College
, University of California at Berkeley, Columbia University
, Boston University
, Princeton University
, and the Massachusetts Institute of Technology
, as well as at various mathematical institutes in Europe and South America. After her initial appointment in 1965, in 1974 Keen was promoted to Full Professor at Lehman College
and the CUNY Graduate Center
.
Keen served as president of the Association for Women in Mathematics
during 1985-1986 and as vice-president of the American Mathematical Society
during 1992-1995. She served on the Board of Trustees of the American Mathematical Society
from 1999-2009 and as Associate Treasurer from 2009-2011. In 1975, she presented an AMS invited address and in 1989 she presented an MAA joint invited address. In 1993 she was selected as a Noether Lecturer.
Keen worked with the mathematicians Paul Blanchard, Robert Devaney, Jane Gilman, Lisa Goldberg, Nikola Lakic and Caroline Series among many others.
She has been honored with:
AAUW Postdoctoral Fellowship Award, 1964-65
National Science Foundation Postdoctoral Fellow, 1964-65
Edwin S. Webster-Abby Rockefeller Mauze Award, M.I.T. 1990
Finish Mathematical Society Invited Foreign Speaker, JAN 1991
AWM Emmy Noether Lecturer, 1993
Joint Irish and London Mathematical Societies Invited Speaker, 1998
Lehman College Foundation Faculty Award, 1998
MAA Invited hour Address, Boulder CO, 1989
Swedish Royal Academy of Sciences Kovalevsky Days Programme Main Speaker, 2006
She is married to Jonathan Brezin and resides in New York.
Math., 396, Amer. Math. Soc., Providence, RI, 2006.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and Professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
of 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...
at Lehman College
Lehman College
Lehman College is one of the constituent colleges of the City University of New York, USA. Founded in 1931 as the Bronx campus of Hunter College, the school became an independent college within the City University in 1968. The college is named after Herbert Lehman, a former New York governor,...
and the Graduate Center of City University of New York where she has worked since 1965. As a high school student she attended the Bronx High School of Science. She received her Bachelor of Science
Bachelor of Science
A Bachelor of Science is an undergraduate academic degree awarded for completed courses that generally last three to five years .-Australia:In Australia, the BSc is a 3 year degree, offered from 1st year on...
degree from the City College of New York
City College of New York
The City College of the City University of New York is a senior college of the City University of New York , in New York City. It is also the oldest of the City University's twenty-three institutions of higher learning...
, then studied at the Courant Institute of Mathematical Sciences
Courant Institute of Mathematical Sciences
The Courant Institute of Mathematical Sciences is an independent division of New York University under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics...
, earning her Doctor of Philosophy
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...
in mathematics in 1964. She wrote her thesis on Riemann surfaces under the direction of Lipman Bers
Lipman Bers
Lipman Bers was an American mathematician born in Riga who created the theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups.-Biography:...
at NYU
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...
.
In addition to studying Riemann surface
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface, first studied by and named after Bernhard Riemann, is a one-dimensional complex manifold. Riemann surfaces can be thought of as "deformed versions" of the complex plane: locally near every point they look like patches of the...
s, Keen has worked in hyperbolic geometry
Hyperbolic geometry
In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced...
, Kleinian group
Kleinian group
In mathematics, a Kleinian group is a discrete subgroup of PSL. The group PSL of 2 by 2 complex matrices of determinant 1 modulo its center has several natural representations: as conformal transformations of the Riemann sphere, and as orientation-preserving isometries of 3-dimensional hyperbolic...
s and Fuchsian group
Fuchsian group
In mathematics, a Fuchsian group is a discrete subgroup of PSL. The group PSL can be regarded as a group of isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be regarded as a group acting...
s, complex analysis
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics,...
, and hyperbolic dynamics. In the field of hyperbolic geometry, she is known for the Collar lemma.
Keen has worked at the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
, Hunter College
Hunter College
Hunter College, established in 1870, is a public university and one of the constituent colleges of the City University of New York, located on Manhattan's Upper East Side. Hunter grants undergraduate, graduate, and post-graduate degrees in more than one hundred fields of study, and is recognized...
, University of California at Berkeley, Columbia University
Columbia University
Columbia 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...
, Boston University
Boston University
Boston University is a private research university located in Boston, Massachusetts. With more than 4,000 faculty members and more than 31,000 students, Boston University is one of the largest private universities in the United States and one of Boston's largest employers...
, Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
, and the Massachusetts Institute of Technology
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
, as well as at various mathematical institutes in Europe and South America. After her initial appointment in 1965, in 1974 Keen was promoted to Full Professor at Lehman College
Lehman College
Lehman College is one of the constituent colleges of the City University of New York, USA. Founded in 1931 as the Bronx campus of Hunter College, the school became an independent college within the City University in 1968. The college is named after Herbert Lehman, a former New York governor,...
and the CUNY Graduate Center
CUNY Graduate Center
The Graduate Center of the City University of New York brings together graduate education, advanced research, and public programming to midtown Manhattan hosting 4,600 students, 33 doctoral programs, 7 master's programs, and 30 research centers and institutes...
.
Keen served as president of the Association for Women in Mathematics
Association for Women in Mathematics
The Association for Women in Mathematics is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences. Equal opportunity and the equal treatment of women and girls in the mathematical sciences are promoted. The AWM was...
during 1985-1986 and as vice-president of the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
during 1992-1995. She served on the Board of Trustees of the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
from 1999-2009 and as Associate Treasurer from 2009-2011. In 1975, she presented an AMS invited address and in 1989 she presented an MAA joint invited address. In 1993 she was selected as a Noether Lecturer.
Keen worked with the mathematicians Paul Blanchard, Robert Devaney, Jane Gilman, Lisa Goldberg, Nikola Lakic and Caroline Series among many others.
She has been honored with:
AAUW Postdoctoral Fellowship Award, 1964-65
National Science Foundation Postdoctoral Fellow, 1964-65
Edwin S. Webster-Abby Rockefeller Mauze Award, M.I.T. 1990
Finish Mathematical Society Invited Foreign Speaker, JAN 1991
AWM Emmy Noether Lecturer, 1993
Joint Irish and London Mathematical Societies Invited Speaker, 1998
Lehman College Foundation Faculty Award, 1998
MAA Invited hour Address, Boulder CO, 1989
Swedish Royal Academy of Sciences Kovalevsky Days Programme Main Speaker, 2006
She is married to Jonathan Brezin and resides in New York.
Books
- Complex Dynamics with Robert I. Devaney
- Hyperbolic Geometry from a Local Viewpoint with Nikola Lakic
- The Legacy of Sonya Kovalevskaya}; Proceedings of a Symposium held at Radcliffe College and 3 AMS special sessions. Ed. L. Keen, Contemp. Math. 64, AMS 1987.
- Lipa's Legacy, Proceedings of the Bers Colloquium}, Ed. J. Dodziuk, L. Keen, Contemp. Math. 211, AMS 1997
- Complex Dynamics: 25 years after the appearance of the Mandelbrot set, Eds. R. Devaney, L. Keen, Contemp.
Math., 396, Amer. Math. Soc., Providence, RI, 2006.