Geometry Festival
Encyclopedia
1985 at Penn
- Marcel BergerMarcel BergerMarcel Berger is a French mathematician, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques , France...
- Pat Eberlein
- Jost Eschenburg
- Friedrich HirzebruchFriedrich HirzebruchFriedrich Ernst Peter Hirzebruch is a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation.-Life:He was born in Hamm, Westphalia...
- Blaine LawsonH. Blaine LawsonBlaine Lawson is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. His current position is...
- Leon SimonLeon SimonLeon Melvyn Simon is a Bôcher Prize-winning mathematician. He is currently Professor in the Mathematics Department at Stanford University.-Academic career:...
- Scott Wolpert
- Deane Yang
1986 at Maryland
- Uwe Abresch, Explicit constant mean curvature tori
- Zhi-yong Gao, The existence of negatively Ricci curved metrics
- David HoffmanDavid HoffmanDavid Hoffman is one of America’s veteran documentary filmmakers. During his 40-year career, Hoffman has made five feature-length documentaries including King, Murray, an experimental feature film about a Long Island salesman who goes to Las Vegas on a junket to gamble with other high rollers....
, New results in the global theory of minimal surfaces - Jack LeeJack LeeJack Lee is an American songwriter and musician best known for composing the song, "Hanging on the Telephone."-Biography:...
, Conformal geometry and the Yamabe problem - Ngai-ming Mok, Compact Kähler manifolds of non-negative curvature
- John MorganJohn Morgan (mathematician)John Willard Morgan is an American mathematician, well known for his contributions to topology and geometry. He is currently the director of the Simons Center for Geometry and Physics at Stony Brook University.-Life:...
, Self dual connections and the topology of 4-manifolds - Chuu-lian TerngChuu-Lian TerngChuu-Lian Terng is a mathematician. She received her B.S. from National Taiwan University in 1971 and her Ph.D. from Brandeis University in 1976 under the supervision of Richard Palais, whom she later married. She is currently a professor at University of California at Irvine.She was a professor...
, Submanifolds with flat normal bundle
1987 at Penn
- Robert BryantRobert BryantRobert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute . He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. He is also a senior...
, The construction of metrics with exceptional holonomy - Francis Bonahon, Hyperbolic 3-manifolds with arbitrarily short geodesics
- Keith Burns, Geodesic flows on the 2-sphere
- Andreas FloerAndreas FloerAndreas Floer was a German mathematician who made seminal contributions to the areas of geometry, topology, and mathematical physics, in particular the invention of Floer homology.-Life:...
, Instantons and Casson's invariant - Hermann Karcher, Embedded minimal surfaces in the 3-sphere
- Jürgen MoserJürgen MoserJürgen Kurt Moser or Juergen Kurt Moser was a German-American mathematician.-Professional biography:...
, Minimal foliations of tori - Ed Witten. Applications of quantum field theory to topology
1988 at North Carolina
- Detlef GromollDetlef GromollDetlef Gromoll was a mathematician who studied distortions of shapes in three or more dimensions. In his soul theorem, published in 1972, he and Jeff Cheeger studied the properties of surfaces that have flat regions or curves like the outside of a sphere but not regions shaped liked saddles...
, On complete spaces of non-negative Ricci curvature - Nicolas Kapouleas, Constant mean curvature surfaces in E3
- Robert OssermanRobert OssermanRobert Ossermanis an American mathematician.Raised in Bronx, he went to Bronx High School of Science and New York University.He earned a Ph.D...
, Gauss map of complete minimal surfaces - Pierre Pansu, Lp-cohomology of negatively curved manifolds
- Peter PetersenPeter PetersenPeter Petersen is a South African football defender for Maritzburg United and South Africa.-External links:* at National Football Teams...
, Bounding homotopy types by geometry - Gang TianGang TianTian Gang is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields...
, Kähler-Einstein metrics on quasiprojective manifolds - DaGang Yang, Some new examples of manifolds of positive Ricci curvature
- Wolfgang Ziller, Recent results on Einstein metrics
1989 at Stony Brook
- Eugenio CalabiEugenio CalabiEugenio Calabi is a Italian American mathematician and professor emeritus at the University of Pennsylvania, specializing in differential geometry, partial differential equations and their applications....
, Extremal singular metrics on surfaces - Harold Donnelly, Nodal sets of eigenfunctions on Riemannian manifolds
- Yasha Eliashberg, Symplectic geometric methods in several complex variables
- Thomas Farrell, A topological analogue of Mostow's rigidity theorem
- Lesley SibnerLesley SibnerLeslie Sibner is a mathematician and professor of mathematics at Polytechnic Institute of New York University. She earned her Bachelors at City College CUNY in Mathematics. She completed her doctorate at Courant Institute NYU in 1964 under the joint supervision of Lipman Bers and Cathleen Morawetz...
, Solutions to Yang-Mills equations which are not self-dual - Carlos Simpson, Moduli spaces of representations of fundamental groups
1990 at Maryland
- Michael T. Anderson, Behavior of metrics under Ricci curvature bounds
- Kevin Corlette, Harmonic maps and geometric superrigidity
- Kenji Fukaya, Fundamental groups of almost non-negatively curved manifolds
- Mikhail Gromov, Recent progress in symplectic geometry
- Werner MüllerWerner Müller (mathematician)Werner Müller is a German mathematician. His research focuses on global analysis and automorphic forms.- Biography :Werner Müller grew up in the German Democratic Republic . He studied mathematics...
, On spectral theory for locally symmetric manifolds with finite volume - Rick Schoen, Least area problems for Lagrangian submanifolds
- Gudlaugur Thorbergsson, Isoparametric submanifolds and their Tits buildings
- Shing-Tung YauShing-Tung YauShing-Tung Yau is a Chinese American mathematician working in differential geometry. He was born in Shantou, Guangdong Province, China into a family of scholars from Jiaoling, Guangdong Province....
, Some theorems in Kähler geometry
1991 at Duke
- 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....
, Transgressed Euler classes of SL(2n,Z)-bundles and adiabatic limits of eta-invariants - Chris Croke, Volumes of balls in manifolds without conjugate points and rigidity of geodesic flows
- Carolyn Gordon, When you can't hear the shape of a manifold
- Wu-Yi Hsiang, Sphere packing and spherical geometry: The Kepler conjecture and beyond
- Alan Nadel, On the geometry of Fano varieties
- Grigori PerelmanGrigori PerelmanGrigori Yakovlevich Perelman is a Russian mathematician who has made landmark contributions to Riemannian geometry and geometric topology.In 1992, Perelman proved the soul conjecture. In 2002, he proved Thurston's geometrization conjecture...
, Alexandrov's spaces with curvature bounded from below - Stefan Stolz, On the space of positive curvature metrics modulo diffeomorphisms
1992 at Courant
- Jonathan Block, Aperiodic tilings, positive scalar curvature and other homological phenomena
- John Franks, Infinitely many closed geodesics on the 2-sphere
- Karsten Grove, The inevitable presence of singular spaces in Riemannian geometry
- Lisa Jeffrey, Volumes of moduli spaces of flat connections on Riemannian surfaces
- Jun Li, Anti-self-dual connections on SU(2) bundles over algebraic surfaces
- Dusa McDuffDusa McDuffDusa McDuff is an English mathematician. She was born in London, England as the daughter of the noted biologist Conrad Hal Waddington. Her mother, Justin, born Justin Blanco White, was an architect, while her maternal grandmother was the feminist Amber Reeves, a lover of H.G. Wells and an author...
, Symplectic 4-manifolds - Clifford TaubesClifford TaubesClifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology.-Early career:Taubes received his Ph.D...
, Anti-self dual conformal structures in 4 dimensions
1993 at Penn
- Shing-Shen Chern, Finsler geometry
- Richard Hamilton, An isoperimetric estimate for the curve-shrinking flow
- Vaughan JonesVaughan JonesSir Vaughan Frederick Randal Jones, KNZM, FRS, FRSNZ is a New Zealand mathematician, known for his work on von Neumann algebras, knot polynomials and conformal field theory. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he accepted the prize...
, Loop groups and operator algebras - Claude LeBrun, Compact Kähler manifolds of constant scalar curvature
- 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...
, The maximum principle and related things - Xiaochun Rong, Collapsing in low dimensions and rationality of geometric invariants
- I. M. SingerIsadore SingerIsadore Manuel Singer is an Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology...
, Geometry and quantum field theory
1995 at Stony Brook
- Dimitri Burago, Asymptotic geometry of Zn-periodic metrics
- Tobias ColdingTobias ColdingTobias Holck Colding is a Danish mathematician. He was born in Copenhagen, Denmark, to Torben Holck Colding and Benedicte Holck Colding. He received his Ph.D. in mathematics in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT...
, Ricci curvature and convergence - Dominic JoyceDominic JoyceDominic D. Joyce is a British mathematician, currently a professor at the University of Oxford and a fellow of Lincoln College since 1995. His undergraduate and doctoral studies were at Merton College. He undertook a DPhil in geometry under the supervision of Simon Donaldson, completed in 1992...
, Compact Riemannian manifolds with exceptional holonomy groups - Yael Karshon, Hamiltonian torus actions
- David Morrison, Analogues of Seiberg-Witten invariants for counting curves on Calabi-Yau manifolds
- Tom Mrowka, The Seiberg-Witten equations and 4-manifold topology
- Yongbin Ruan, Higher genus pseudo-holomorphic curves
- Edward WittenEdward WittenEdward Witten is an American theoretical physicist with a focus on mathematical physics who is currently a professor of Mathematical Physics at the Institute for Advanced Study....
, Monopoles and four-manifolds
1996 at Maryland
- J. Baez, Quantum gravity and BF theory in 4 dimensions
- Jean-Luc BrylinskiJean-Luc BrylinskiJean-Luc Brylinski is a French-American mathematician. Educated at the Lycée Pasteur and the Ecole Normale Supérieure in Paris, after an appointment as researcher with the C. N. R. S., he became a Professor of Mathematics at Pennsylvania State University. He proved the Kazhdan–Lusztig conjectures...
, Gauge groups and reciprocity laws on algebraic varieties - Bruce KleinerBruce KleinerBruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory.He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. He is now Professor of Mathematics at New York University.Kleiner has...
, Spaces of nonpositive curvature - G. Margulis, Quantitative Oppenheim Conjecture
- S. P. Novikov, Laplace and Darboux transformations
- Richard SchwartzRichard SchwartzRichard Evan Schwartz is an American mathematician notable for his contributions to geometric group theory and to an area of mathematics known as billiards...
, The Devil's Pentagram - Guofong Wei, Volume comparison with integral curvature bounds
- 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...
, Equivariant rigidity: For and against
1997 at Duke
- Jeanne Nielsen Clelland, Geometry of Conservation Laws for Parabolic PDE's
- Anatole Katok, Rigidity and invariant geometric structures for differentiable group actions
- François Labourie, Monge-Ampere problems, holomorphic curves and laminations
- Gang Liu, Floer Homology and the Arnold Conjecture
- William Minicozzi IIWilliam Minicozzi IIWilliam Minicozzi II is an American mathematician. He was born in Bryn Mawr, Pennsylvania, in 1967.-Career:Minicozzi graduated from Princeton University in 1990 and received his Ph.D. from Stanford University in 1994 under the direction of Richard Schoen...
, Harmonic functions on manifolds - Lorenz Schwachhöfer, The classification of irreducible holonomies of torsion free connections
- Matthias Schwarz, Symplectic fixed points and quantum cohomology
- Stephen SemmesStephen SemmesStephen Semmes is Noah Harding Professor of Mathematics at Rice University. He is known for contributions to analysis on metric spaces, as well as harmonic analysis, complex variables, partial differential equations, and differential geometry.-Awards:...
, Geometry with little smoothness
1998 at Stony Brook
- Scott Axelrod, Generalized Chern-Simons invariants as a generalized Lagrangian field theory
- Jean-Michel BismutJean-Michel BismutJean-Michel Bismut is a French mathematician who has been a Professor at the Université Paris-Sud since 1981.He found a heat equation proof for the Atiyah–Singer index theorem. In 1990 he was awarded the Prix Ampere of the Academy of Sciences. He was elected as a member of the French Academy of...
, Chern-Simons classes, Bott Chern classes and analytic torsion - Spencer BlochSpencer BlochSpencer Janney Bloch is an American mathematician known for his contributions to algebraic geometry and algebraic K-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Department of Mathematics of the University of Chicago. He is a member of the U.S...
, Algebro-geometric Chern-Simons classes - Robert BryantRobert BryantRobert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute . He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. He is also a senior...
, Recent progress on the holonomy classification problem - Robert BryantRobert BryantRobert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute . He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. He is also a senior...
(for S.-S. Chern), Recent results and open problems in Finsler geometry - 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....
and Blaine Lawson, The mathematical work of James Simons - 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....
, Ricci Curvature - Jürg Fröhlich, Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)
- Mikhail Gromov, Dynamics on function spaces
- Maxim KontsevichMaxim KontsevichMaxim Lvovich Kontsevich is a Russian mathematician. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami...
, On regulators, critical values and q-factorials - Blaine Lawson, Connections and singularities of maps
- Robert MacPherson, Spaces with torus actions
- John MilnorJohn MilnorJohn Willard Milnor is an American mathematician known for his work in differential topology, K-theory and dynamical systems. He won the Fields Medal in 1962, the Wolf Prize in 1989, and the Abel Prize in 2011. Milnor is a distinguished professor at Stony Brook University...
, Remarks on geometry and dynamics - I.M. SingerIsadore SingerIsadore Manuel Singer is an Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology...
, TBA - Dennis SullivanDennis SullivanDennis Parnell Sullivan is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.-Work in topology:He...
A combinatorial model for non-linearity - Clifford TaubesClifford TaubesClifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology.-Early career:Taubes received his Ph.D...
, Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves - Gang TianGang TianTian Gang is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields...
, Yang-Mills connections and calibration - C.-N. Yang, Vector potentials and connections
- S.-T. Yau, Mirror symmetry and rational curves
1999 at Penn
- Peter SarnakPeter SarnakPeter Clive Sarnak is a South African-born mathematician. He has been Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics...
, Some spectral problems on negatively curved manifolds - Zheng-xu He, The gradient flow for the Möbius energy of knots
- Curtis McMullen, The moduli space of Riemann surfaces is Kähler-hyperbolic
- Paul Biran, Lagrange skeletons and symplectic rigidity
- Helmut Hofer, Holomorphic curves and contact geometry
- Werner Ballmann, On negative curvature and the essential spectrum of geometric operators
- Shlomo SternbergShlomo SternbergShlomo Zvi Sternberg is a leading mathematician, known for his work in geometry, particularly symplectic geometry and the differential geometry of G-structures....
, Multiplets of representations and Kostant's Dirac operator
2000 at Maryland
- Samuel Ferguson, The Kepler Conjecture
- Robert Meyerhoff, Rigorous computer-aided proofs in the theory of hyperbolic 3-manifolds
- Herman Gluck, Geometry, topology and plasma physics
- Burkhard Wilking, New examples of manifolds with positive sectional curvature almost everywhere
- John Roe, Amenability and assembly maps
- Eleny Ionel, Gromov invariants of symplectic sums
- Mikhail Gromov, Spaces of holomorphic maps
2001 at Northeastern
- Robert BryantRobert BryantRobert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute . He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. He is also a senior...
, Rigidity and quasirigidity of extremal cycles in Hermitian symmetric spaces - Tobias ColdingTobias ColdingTobias Holck Colding is a Danish mathematician. He was born in Copenhagen, Denmark, to Torben Holck Colding and Benedicte Holck Colding. He received his Ph.D. in mathematics in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT...
, Embedded minimal surfaces in 3-manifolds - Boris Dubrovin, Normal forms of integrable PDE's
- John LottJohn Lott (mathematician)John Lott is a Professor of Mathematics at the University of California, Berkeley. He is working on Ricci flow....
, Heat equation methods in noncommutative geometry - Dusa McDuffDusa McDuffDusa McDuff is an English mathematician. She was born in London, England as the daughter of the noted biologist Conrad Hal Waddington. Her mother, Justin, born Justin Blanco White, was an architect, while her maternal grandmother was the feminist Amber Reeves, a lover of H.G. Wells and an author...
, Seminorms on the Hamiltonian group and the nonsqueezing theorem - Rick Schoen, Variational approaches to the construction minimal lagrangian submanifolds
- Shing-Tung YauShing-Tung YauShing-Tung Yau is a Chinese American mathematician working in differential geometry. He was born in Shantou, Guangdong Province, China into a family of scholars from Jiaoling, Guangdong Province....
, Mirror symmetry
2002 at Courant
- Denis Auroux, Singular plane curves and topological invariants of symplectic manifolds
- Hugh Bray, On the mass of higher dimensional black holes
- Alice Chang, Conformally invariant operators and the Gauss-Bonnet integrand
- Xiuxiong Chen,The space of Kähler metrics
- George Daskalopoulos,On the Yang-Mills flow in higher dimensions
- Alex Eskin, Billiards and lattices
- Juha Heinonen, On the existence of quasiregular mappings
2003 at Duke
- Bennett Chow, Harnack estimates of Li-Yau-Hamilton type for the Ricci flow
- Anda Degeratu, Geometrical McKay Correspondance
- Ron Donagi, Griffiths' intermediate Jacobians, integrable systems, and string theory
- John Etnyre, Legendrian knots in high dimensions
- Joe Harris, Are Cubics Rational?
- Claude LeBrun, Zoll Manifolds, Complex Surfaces, and Holomorphic Disks
- John Morgan, Variations of Hodge structure for 1-parameter families of Calabi-Yau three-folds
- Madhav Nori, A modified Hodge conjecture
- Justin Sawon, Twisted Fourier-Mukai transforms for holomorphic symplectic manifolds
- Wilfried Schmid, Automorphic distributions, L-functions, and functional equations
- Jeff Viaclovsky, Fully nonlinear equations and conformal geometry
- Claire Voisin, K-correspondences and intrinsic pseudovolume forms
2004 at Courant
- Jean-Michel BismutJean-Michel BismutJean-Michel Bismut is a French mathematician who has been a Professor at the Université Paris-Sud since 1981.He found a heat equation proof for the Atiyah–Singer index theorem. In 1990 he was awarded the Prix Ampere of the Academy of Sciences. He was elected as a member of the French Academy of...
, The Hypoelliptic Laplacian on the Cotangent Bundle - Yasha Eliashberg, Positive Loops of Contact Transformations
- Blaine Lawson, Projective Hulls and the Projective Gelfand Transformation
- Dusa McDuffDusa McDuffDusa McDuff is an English mathematician. She was born in London, England as the daughter of the noted biologist Conrad Hal Waddington. Her mother, Justin, born Justin Blanco White, was an architect, while her maternal grandmother was the feminist Amber Reeves, a lover of H.G. Wells and an author...
, Applications of J-holomorphic Curves - Xiaochun Rong, Local splitting structures on nonpositively curved manifolds
- Dennis SullivanDennis SullivanDennis Parnell Sullivan is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.-Work in topology:He...
, Algebraic topology in string backgrounds - Gang TianGang TianTian Gang is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields...
, Extremal Metrics and Holomorphic Discs - Edward WittenEdward WittenEdward Witten is an American theoretical physicist with a focus on mathematical physics who is currently a professor of Mathematical Physics at the Institute for Advanced Study....
, Gauge Theory Scattering From Curves In CP3
2005 at Stony Brook
- Nancy Hingston, Periodic solutions of Hamilton's equations on tori
- 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...
, Null hypersurfaces and curvature estimates in general relativity - Bruce KleinerBruce KleinerBruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory.He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. He is now Professor of Mathematics at New York University.Kleiner has...
, Singular structure of mean curvature flow - Frank Pacard, Blowing up Kahler manifolds with constant scalar curvature
- Rahul Pandharipande, A topological view of Gromov-Witten theory
- Igor Rodniansky, Non-linear waves and Einstein geometry
- Yum-Tong Siu, Methods of singular metrics in algebraic geometry
- Katrin WehrheimKatrin WehrheimKatrin Wehrheim is Assistant Professor of Mathematics in the MIT Mathematics Department. Her research centers around symplectic topology and gauge theory.-Early life:...
, Floer theories in symplectic topology and gauge theory
2006 at Penn
- 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....
, Differentiation, bi-Lipschitz nonembedding and embedding - Charles FeffermanCharles FeffermanCharles Louis Fefferman is an American mathematician at Princeton University. His primary field of research is mathematical analysis....
, Fitting a smooth function to data - Helmut HoferHelmut HoferHelmut Hofer is a German businessman arrested and imprisoned in Iran in September 1997, convicted of having had sexual relations with a Muslim Iranian woman, Vahideh Ghessemi. He was sentenced to 99 lashes followed by death...
, On the analytic and geometric foundations of symplectic field theory - Ko Honda, Reeb vector fields and open book decompositions
- William Meeks, The Dynamics Theorem for embedded minimal surfaces
- Yair Minsky, Asymptotic geometry of the mapping class group
- Frank MorganFrank MorganFrank Morgan was an American actor. He was best known for his portrayal of the title character in the film The Wizard of Oz.-Early life:...
, Manifolds with Density - Zoltan Szabo, Link Floer homology and the Thurston norm
2007 at Maryland
- Dan Freed, Secondary differential-geometric invariants, generalized cohomology, and QCD
- Xiaobo Lu, Mean curvature flow for isoparametric submanifolds
- Vitali Kapovith, Some open problems in comparison geometry
- Maryam Mirzakhani, Lattice point asymptotics and conformal densities on Teichmüller space
- Charles Epstein, Stein fillings and index theorems
- Guoliang Yu, Group actions and K-theory
- Simon Brendle, Blow-up phenomena for the Yamabe PDE in high dimensions
2008 at Duke
- Michael Anderson, Conformally compact Einstein metrics with prescribed conformal infinity
- Robert BryantRobert BryantRobert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute . He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. He is also a senior...
,Riemannian Submersions as PDE - Greg Galloway, Stability of marginally trapped surfaces with applications to black holes
- Marcus Khuri, The Yamabe Problem Revisited
- John LottJohn Lott (mathematician)John Lott is a Professor of Mathematics at the University of California, Berkeley. He is working on Ricci flow....
, Optimal transport in Riemannian geometry and Ricci flow - William Minicozzi, The rate of change of width under flows
- Duong PhongDương PhongDương Phong is a commune and village in Bạch Thông District, Bắc Kạn Province, in Vietnam....
, Stability and constant scalar curvature - Jeff Viaclovsky, Orthogonal Complex Structures
2009 at Stony Brook
- 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....
, Quantitative Behavior of Maps from the Heisenberg Group to L1 - Marcos Dajczer, Conformal Killing graphs with prescribed mean curvature
- Karsten Grove, Positive curvature: the quest for examples
- Wolfgang Meyer, The Contributions of Detlef Gromoll to Riemannian Geometry
- Gabriel PaternainGabriel PaternainGabriel Pedro Paternain is a Uruguayan mathematician. He is currently a professor in geometry and dynamics in DPMMS at the University of Cambridge, and a teaching fellow at Trinity College. He obtained his Licenciatura from Universidad de la Republica in Uruguay in 1987, and his PhD from the State...
, Transparent Connections over Negatively Curved Surfaces - Christina Sormani, The Intrinsic Flat Distance between Riemannian Manifolds
- Guofang WeiGuofang WeiGuofang Wei is a mathematician in the field of differential geometry. She is currently a professor at University of California, Santa Barbara.Dr. Wei earned a doctorate in mathematics from SUNY Stony Brook when she was only 24 years old...
, Smooth Metric Measure Spaces
2010 at Courant
- Tim AustinTim AustinTimothy Austin is a professional boxer from the United States. He was nicknamed the "Cincinnati Kid".- Amateur accomplishments :*1990 National Golden Gloves flyweight champion...
(UCLA): Rational group ring elements with kernels having irrational von Neumann dimension - Xiuxiong Chen (UW Madison): The space of Kaehler metrics
- Tobias ColdingTobias ColdingTobias Holck Colding is a Danish mathematician. He was born in Copenhagen, Denmark, to Torben Holck Colding and Benedicte Holck Colding. He received his Ph.D. in mathematics in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT...
(MIT): Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications - Marianna CsornyeiMarianna CsörnyeiMarianna Csörnyei is a Hungarian mathematician. She works in real analysis, geometric measure theory, and geometric nonlinear functional analysis. She proved the equivalence of the zero measure notions of infinite dimensional Banach spaces.She received her doctorate from Eötvös Loránd University...
(University College London and Yale): Tangents of null sets - Larry GuthLarry GuthLawrence David Guth is professor of mathematics at the Courant Institute.Guth received his Ph.D. in 2005 from the Massachusetts Institute of Technology under the supervision of Tomasz Mrowka. He won an Alfred P. Sloan Fellowship in . He also was invited speaker at the International Congress of...
(UToronto): Contraction of surface areas vs. topology of mappings - Jeremy Kahn (SUNY Stony Brook): Essential Immersed Surfaces in Closed Hyperbolic Three-Manifolds
- Gang TianGang TianTian Gang is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields...
(Princeton): Kahler-Ricci flow through finite-time singularities