The Geometry Festival is an annual

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

conference held in the

United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...

. The festival has been held since 1985 at the

University of Pennsylvania The University of Pennsylvania (Penn or UPenn) is a Private university, private Ivy League research university in Philadelphia, Pennsylvania, United States. One of nine colonial colleges, it was chartered in 1755 through the efforts of f ...

, the

University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland, United States. Founded in 1856, UMD is the flagship institution of the Univ ...

, the

University of North Carolina The University of North Carolina is the Public university, public university system for the state of North Carolina. Overseeing the state's 16 public universities and the North Carolina School of Science and Mathematics, it is commonly referre ...

, the

State University of New York The State University of New York (SUNY ) is a system of Public education, public colleges and universities in the New York (state), State of New York. It is one of the List of largest universities and university networks by enrollment, larges ...

at Stony Brook,

Duke University Duke University is a Private university, private research university in Durham, North Carolina, United States. Founded by Methodists and Quakers in the present-day city of Trinity, North Carolina, Trinity in 1838, the school moved to Durham in 1 ...

and New York University's

Courant Institute of Mathematical Sciences The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU). Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute ...

. It is a three day conference that focuses on the major recent results in geometry and related fields.

Previous Geometry Festival speakers

1985 at Penn

Marcel Berger Marcel Berger (14 April 1927 – 15 October 2016) was a French mathematician, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques (IHÉS), France. Biography After studying from 1948 to 19 ...

* Pat Eberlein * Jost Eschenburg *

Friedrich Hirzebruch Friedrich Ernst Peter Hirzebruch ForMemRS (17 October 1927 – 27 May 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as ...

* Blaine Lawson *

Leon Simon Leon Melvyn Simon , born in 1945, is a Leroy P. Steele PrizeSee announcemen retrieved 15 September 2017. and Bôcher Memorial Prize, Bôcher Prize-winningSee . mathematician, known for deep contributions to the fields of geometric analysis, ...

* Scott Wolpert * Deane Yang

1986 at Maryland

Uwe Abresch Uwe or UWE may refer to: * Uwe (given name) * Uwe, a wrecked barge in Hamburg, Germany * UML-based web engineering * University of the West of England * University Würzburg's Experimental space satellites: **UWE-1 UWE-1 (Universität Würzbur ...

, ''Explicit constant mean curvature tori'' * Zhi-yong Gao, ''The existence of negatively

Ricci Ricci () is an Italian surname. Notable Riccis Arts and entertainment * Antonio Ricci (painter) (c.1565–c.1635), Spanish Baroque painter of Italian origin * Christina Ricci (born 1980), American actress * Clara Ross Ricci (1858-1954), British c ...

curved metrics'' * David Hoffman, ''New results in the global theory of minimal surfaces'' * Jack Lee, ''Conformal geometry and the

Yamabe problem The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvatur ...

'' *

Ngaiming Mok Ngaiming Mok (; born 1956) is a Hong Kong mathematician specializing in complex differential geometry and algebraic geometry. He is currently a professor at the University of Hong Kong. After graduating from St. Paul's Co-educational College in H ...

, ''Compact

Kähler manifold In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arnol ...

s of non-negative curvature'' * John Morgan, ''Self dual connections and the topology of 4-manifolds'' *

Chuu-Lian Terng Chuu-Lian Terng () is a Taiwanese-American mathematician. Her research areas are differential geometry and integrable systems, with particular interests in completely integrable Hamiltonian partial differential equations and their relations to di ...

, ''Submanifolds with flat normal bundle''

1987 at Penn

* Robert Bryant, ''The construction of metrics with exceptional

holonomy In differential geometry, the holonomy of a connection on a smooth manifold is the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. Holonomy is a general geometrical consequence ...

'' * Francis Bonahon, ''

Hyperbolic Hyperbolic may refer to: * of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics ** Hyperbolic geometry, a non-Euclidean geometry ** Hyperbolic functions, analogues of ordinary trigonometric functions, defined u ...

3-manifolds with arbitrarily short geodesics'' * Keith Burns, ''Geodesic flows on the 2-sphere'' *

Andreas Floer Andreas Floer (; 23 August 1956 – 15 May 1991) was a German mathematician who made seminal contributions to symplectic topology, and mathematical physics, in particular the invention of Floer homology. Floer's first pivotal contribution was a s ...

, ''

Instantons An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. Mo ...

and Casson's invariant'' * Hermann Karcher, ''Embedded minimal surfaces in the 3-sphere'' *

Jürgen Moser Jürgen Kurt Moser (July 4, 1928 – December 17, 1999) was a German-American mathematician, honored for work spanning over four decades, including Hamiltonian dynamical systems and partial differential equations. Life Moser's mother Ilse Strehl ...

, ''Minimal foliations of tori'' *

Edward Witten Edward Witten (born August 26, 1951) is an American theoretical physics, theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus in the sc ...

. ''Applications of

quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines Field theory (physics), field theory and the principle of relativity with ideas behind quantum mechanics. QFT is used in particle physics to construct phy ...

to topology''

1988 at North Carolina

Detlef Gromoll Detlef Gromoll (13 May 1938 – 31 May 2008) was a mathematician who worked in differential geometry. Biography Gromoll was born in Berlin in 1938, and was a classically trained violinist. After living and attending school in Rosdorf and grad ...

, ''On complete spaces of non-negative

Ricci curvature In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure ...

'' * Nicolas Kapouleas, ''Constant mean curvature surfaces in E3'' *

Robert Osserman Robert "Bob" Osserman (December 19, 1926 – November 30, 2011) was an American mathematician who worked in geometry. He is specially remembered for his work on the theory of minimal surfaces. Raised in Bronx, he went to Bronx High School of ...

, ''Gauss map of complete minimal surfaces'' *

Pierre Pansu Pierre Pansu (born 13 July 1959) is a French mathematician and a member of the Arthur Besse group and a close collaborator of Mikhail Gromov. He is a professor at the Université Paris-Sud 11 and the École Normale Supérieure in Paris. His mai ...

, ''Lp-cohomology of negatively curved manifolds'' * Peter Petersen, ''Bounding homotopy types by geometry'' *

Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ...

, ''Kähler-Einstein metrics on quasiprojective manifolds'' * DaGang Yang, ''Some new examples of manifolds of positive

'' * Wolfgang Ziller, ''Recent results on Einstein metrics''

1989 at Stony Brook

Eugenio Calabi Eugenio Calabi (May 11, 1923 – September 25, 2023) was an Italian-born American mathematician and the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania, specializing in differential geometry, partial differential equa ...

, ''Extremal singular metrics on surfaces'' * Harold Donnelly, ''Nodal sets of eigenfunctions on Riemannian manifolds'' *

Yakov Eliashberg Yakov Matveevich Eliashberg (also Yasha Eliashberg; ; born 11 December 1946) is an American mathematician who was born in Leningrad, USSR. Education and career Eliashberg received his PhD, entitled ''Surgery of Singularities of Smooth Mappin ...

, ''Symplectic geometric methods in several complex variables'' *

F. Thomas Farrell Francis Thomas Farrell (born November 14, 1941, in Ohio, United States) is an American mathematician who has made contributions in the area of topology and differential geometry. Farrell is a distinguished professor emeritus of mathematics at Bin ...

, ''A topological analogue of Mostow's rigidity theorem'' *

Lesley Sibner Lesley Millman Sibner (August 13, 1934 – September 11, 2013) was an American mathematician and professor of mathematics at Polytechnic Institute of New York University. She earned her Bachelors at City College CUNY in Mathematics. She complet ...

, ''Solutions to Yang-Mills equations which are not self-dual'' *

Carlos Simpson Carlos Tschudi Simpson (born 30 June 1962) is an American mathematician, specializing in algebraic geometry. Simpson received his Ph.D. in 1987 from Harvard University, where he was supervised by Wilfried Schmid; his thesis was titled ''Systems ...

, ''Moduli spaces of representations of fundamental groups''

1990 at Maryland

* Michael T. Anderson, ''Behavior of metrics under

curvature bounds'' * Kevin Corlette, ''Harmonic maps and geometric superrigidity'' *

Kenji Fukaya Kenji Fukaya (Japanese: 深谷賢治, ''Fukaya Kenji'', born in 1959) is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental contributions to mathematics include the discovery of th ...

, ''Fundamental groups of almost non-negatively curved manifolds'' * Mikhail Gromov, ''Recent progress in

symplectic geometry Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the ...

'' *

Werner Müller Werner Müller may refer to: * Werner Müller (ethnologist) (1907–1990), German ethnologist and symbologist * Werner Müller (musician) (1920–1998), German musician * Werner Müller (canoeist) (born 1922), Swiss canoeist * Werner Müller (pol ...

, ''On spectral theory for locally symmetric manifolds with finite volume'' * Rick Schoen, ''Least area problems for

Lagrangian submanifold In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M , equipped with a closed nondegenerate differential 2-form \omega , called the symplectic form. The study of symplectic manifolds is called sy ...

s'' * Gudlaugur Thorbergsson, ''Isoparametric submanifolds and their Tits buildings'' *

Shing-Tung Yau Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and professor emeritus at Harvard University. Until 2022, Yau was the William Caspar ...

, ''Some theorems in

Kähler Kähler may refer to: People *Birgit Kähler (born 1970), German high jumper * Erich Kähler (1906–2000), German mathematician * Heinz Kähler (1905–1974), German art historian and archaeologist *Luise Kähler (1869–1955), German trade union ...

geometry''

1991 at Duke

Jeff Cheeger Jeff Cheeger (born December 1, 1943) is an American mathematician and Silver Professor at the Courant Institute of Mathematical Sciences of New York University. His main interest is differential geometry and its connections with topology and an ...

, ''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 Fano () is a city and ''comune'' of the province of Pesaro and Urbino in the Marche region of Italy. It is a beach resort southeast of Pesaro, located where the ''Via Flaminia'' reaches the Adriatic Sea. It is the third city in the region by pop ...

varieties'' *

Grigori Perelman Grigori Yakovlevich Perelman (, ; born 13June 1966) is a Russian mathematician and geometer who is known for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman resigned from his ...

, ''

Alexandrov Alexandrov (masculine, also written Alexandrow) or Alexandrova (feminine) may refer to: * Alexandrov (surname) (including ''Alexandrova''), a Slavic last name * Alexandrov, Vladimir Oblast, Russia * Alexandrov (inhabited locality), several inhabite ...

's spaces with curvature bounded from below'' * Stephan 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 McDuff Dusa McDuff FRS CorrFRSE (born 18 October 1945) is an English mathematician who works on symplectic geometry. She was the first recipient of the Ruth Lyttle Satter Prize in Mathematics, was a Noether Lecturer, and is a Fellow of the Royal So ...

, '' Symplectic 4-manifolds'' *

Clifford Taubes Clifford Henry Taubes (born February 21, 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taub ...

, ''Anti-self dual conformal structures in 4 dimensions''

1993 at Penn

Shiing-Shen Chern Shiing-Shen Chern (; , ; October 26, 1911 – December 3, 2004) was a Chinese American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geome ...

, ''

Finsler geometry In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold where a (possibly asymmetric) Minkowski norm is provided on each tangent space , that enables one to define the length of any smooth curve as ...

'' *

Richard S. Hamilton Richard Streit Hamilton (January 10, 1943 – September 29, 2024) was an American mathematician who served as the Davies Professor of Mathematics at Columbia University. Hamilton is known for contributions to geometric analysis and partial dif ...

, ''An isoperimetric estimate for the curve-shrinking flow'' *

Vaughan Jones Sir Vaughan Frederick Randal Jones (31 December 19526 September 2020) was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990. Early life Jones was born in Gisbo ...

, ''Loop groups and operator algebras'' *

Claude LeBrun Claude R. LeBrun (born 1956) is an American mathematician who holds the position of Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in compl ...

, ''Compact

manifolds of constant

scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...

'' *

Louis Nirenberg Louis Nirenberg (February 28, 1925 – January 26, 2020) was a Canadian-American mathematician, considered one of the most outstanding Mathematical analysis, mathematicians of the 20th century. Nearly all of his work was in the field of par ...

, ''The maximum principle and related things'' * Xiaochun Rong, ''Collapsing in low dimensions and rationality of geometric invariants'' *

Isadore Singer Isadore Manuel Singer (May 3, 1924 – February 11, 2021) was an American mathematician. He was an Emeritus Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology and a Professor Emeritus of Mathemat ...

, ''Geometry and

1995 at Stony Brook

Dimitri Burago Dimitri, Dimitry, Demetri or variations thereof may refer to: __NOTOC__ People Given name * Dimitri (clown), Swiss clown and mime Dimitri Jakob Muller (1935–2016) * Dimitri Atanasescu (1836–1907), Ottoman-born Aromanian teacher * Dimitri Ayol ...

, ''Asymptotic geometry of Z^n-periodic metrics'' *

Tobias Colding Tobias Holck Colding (born 1963) is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding. Biography He was born in Copenhagen, Denmark, to Torben Holck Colding ...

, ''

curvature and convergence'' *

Dominic Joyce Dominic David Joyce FRS (born 8 April 1968) 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, Oxford. He und ...

, ''Compact Riemannian manifolds with exceptional

groups'' * Yael Karshon, ''Hamiltonian torus actions'' *

David Morrison Lieutenant General David Lindsay Morrison (born 24 May 1956) is a retired senior officer of the Australian Army. He served as Chief of Army from June 2011 until his retirement in May 2015. He was named Australian of the Year for 2016. Early ...

, ''Analogues of Seiberg–Witten invariants for counting curves on

Calabi–Yau manifold In algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties, such as Ricci flatness, yielding applications in theoretical physics. P ...

s'' *

Tomasz Mrowka Tomasz Mrowka (born September 8, 1961) is an American mathematician specializing in differential geometry and gauge theory. He is the Singer Professor of Mathematics and former head of the Department of Mathematics at the Massachusetts Institut ...

, ''The Seiberg-Witten equations and 4-manifold topology'' * Yongbin Ruan, ''Higher genus pseudo-holomorphic curves'' *

, ''Monopoles and four-manifolds''

1996 at Maryland

* John C. Baez, ''

Quantum gravity Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics. It deals with environments in which neither gravitational nor quantum effects can be ignored, such as in the v ...

and BF theory in 4 dimensions'' * Jean-Luc Brylinski, ''Gauge groups and reciprocity laws on algebraic varieties'' *

Bruce Kleiner Bruce 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. Kleiner is a p ...

, ''Spaces of nonpositive curvature'' *

Grigory Margulis Grigory Aleksandrovich Margulis (, first name often given as Gregory, Grigori or Gregori; born February 24, 1946) is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic the ...

, ''Quantitative Oppenheim Conjecture'' * Sergei P. Novikov, ''Laplace and Darboux transformations'' * Richard Schwartz, ''The Devil's Pentagram'' * Guofang Wei, ''Volume comparison with integral curvature bounds'' *

Shmuel Weinberger Shmuel Aaron Weinberger (born February 20, 1963) 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. Scott Professor ...

, ''Equivariant rigidity: For and against''

1997 at Duke

* Jeanne Nielsen Clelland, ''Geometry of Conservation Laws for Parabolic PDE's'' *

Anatole Katok Anatoly Borisovich Katok (; August 9, 1944 – April 30, 2018) was an American mathematician with Russian-Jewish origins. Katok was the director of the Center for Dynamics and Geometry at the Pennsylvania State University. His field of research w ...

, ''Rigidity and invariant geometric structures for differentiable group actions'' *

François Labourie François Labourie (born 15 December 1960) is a French mathematician who has made various contributions to geometry, including pseudoholomorphic curves, Anosov diffeomorphisms, and convex geometry. In a series of papers with Yves Benoist and P ...

, ''Monge-Ampere problems, holomorphic curves and laminations'' * Gang Liu, ''

Floer Homology In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology. Floer homology is an invariant that arises as an infinite-dimensional analogue of finite-dimensional Morse homology. Andreas Floer intro ...

and the

Arnold Conjecture The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential geometry. Strong Arnold conjecture Let (M, \omega) be a closed (compact without boundary) ...

'' *

William Minicozzi II William Philip 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 o ...

, ''Harmonic functions on manifolds'' * Lorenz Schwachhöfer, ''The classification of irreducible holonomies of torsion free connections'' * Matthias Schwarz, ''Symplectic fixed points and quantum cohomology'' *

Stephen Semmes Stephen William Semmes (born 26 May 1962) is the 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 ...

, ''Geometry with little smoothness''

1998 at Stony Brook

* Scott Axelrod, ''Generalized Chern-Simons invariants as a generalized Lagrangian field theory'' *

Jean-Michel Bismut Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and diff ...

, ''Chern-Simons classes, Bott Chern classes and analytic torsion'' *

Spencer Bloch Spencer Janney Bloch (born May 22, 1944; New York City) 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 Departm ...

, ''Algebro-geometric Chern-Simons classes'' * Robert Bryant, ''Recent progress on the holonomy classification problem'' * Robert Bryant (for S.-S. Chern), ''Recent results and open problems in

'' *

and Blaine Lawson, ''The mathematical work of James Simons'' *

, ''

Ricci Curvature In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure ...

'' *

Jürg Fröhlich Jürg Martin Fröhlich (born 4 July 1946 in Schaffhausen) is a Swiss mathematician and theoretical physicist. He is best known for introducing rigorous techniques for the analysis of statistical mechanics models, in particular continuous symmetr ...

, ''Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)'' * Mikhail Gromov, ''Dynamics on function spaces'' *

Maxim Kontsevich Maxim Lvovich Kontsevich (, ; born 25 August 1964) is a Russian and French mathematician and mathematical physicist. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He ...

, ''On regulators, critical values and q-factorials'' * Blaine Lawson, ''Connections and singularities of maps'' * Robert MacPherson, ''Spaces with torus actions'' *

John Milnor John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook Uni ...

, ''Remarks on geometry and dynamics'' * I.M. Singer, TBA *

Dennis Sullivan Dennis Parnell Sullivan (born February 12, 1941) is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the Graduate Center of the City University ...

''A combinatorial model for non-linearity'' *

, ''Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves'' *

, ''Yang-Mills connections and calibration'' * C.-N. Yang, ''Vector potentials and connections'' *

, '' Mirror symmetry and rational curves''

1999 at Penn

Peter Sarnak Peter Clive Sarnak (born 18 December 1953) is a South African and American mathematician. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced Study since 2007. He is also Eugene Higgins ...

, ''Some spectral problems on negatively curved manifolds'' * Zheng-xu He, ''The gradient flow for the

Möbius energy In mathematics, the Möbius energy of a knot is a particular knot energy, i.e., a functional on the space of knots. It was discovered by Jun O'Hara, who demonstrated that the energy blows up as the knot's strands get close to one another. This ...

of knots'' *

Curtis McMullen Curtis Tracy McMullen (born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmülle ...

, ''The moduli space of

Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed vers ...

s is Kähler-hyperbolic'' *

Paul Biran Paul Ian Biran (; born 25 February 1969) is an Israeli mathematician. He holds a chair at ETH Zurich. His research interests include symplectic geometry and algebraic geometry. Education Born in Romania in 1969, Biran's family moved to Israel in ...

, ''Lagrange skeletons and symplectic rigidity'' * Helmut Hofer, ''Holomorphic curves and contact geometry'' *

Werner Ballmann Hans Werner Ballmann (known as Werner Ballmann; born 11 April 1951) is a German mathematician. His area of research is differential geometry with focus on geodesic flows, spaces of negative curvature as well as spectral theory of Dirac operators ...

, ''On negative curvature and the essential spectrum of geometric operators'' *

Shlomo Sternberg Shlomo Zvi Sternberg (January 20, 1936 – August 23, 2024) was an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory. He also wrote some well-known textbooks. Education and career Sternber ...

, ''Multiplets of representations and Kostant's

Dirac operator In mathematics and in quantum mechanics, a Dirac operator is a first-order differential operator that is a formal square root, or half-iterate, of a second-order differential operator such as a Laplacian. It was introduced in 1847 by William Ham ...

2000 at Maryland

* Samuel Ferguson, ''The

Kepler Conjecture The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional Euclidean space. It states that no arrangement of equally sized spheres filling s ...

'' * 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 Eleny-Nicoleta Ionel (born April 1969) is a Romanian mathematician whose research concerns symplectic geometry, including the study of the Gromov–Witten invariants and Gopakumar–Vafa invariants. Among her most significant results are the p ...

, ''Gromov invariants of symplectic sums'' * Mikhail Gromov, ''Spaces of holomorphic maps''

2001 at Northeastern

* Robert Bryant, ''Rigidity and quasirigidity of extremal cycles in

Hermitian symmetric space In mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure. First studied by Élie Cartan, they form a natural generalization of the notion of Riemannian ...

s'' *

, ''Embedded minimal surfaces in 3-manifolds'' * Boris Dubrovin, ''Normal forms of integrable PDE's'' * John Lott, ''

Heat equation In mathematics and physics (more specifically thermodynamics), the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier in 1822 for the purpose of modeling how a quanti ...

methods in noncommutative geometry'' *

, ''Seminorms on the Hamiltonian group and the nonsqueezing theorem'' * Rick Schoen, ''Variational approaches to the construction minimal lagrangian submanifolds'' *

, '' 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

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 In differential geometry and geometric analysis, the Ricci flow ( , ), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analogous to the diffusion o ...

'' * Anda Degeratu, ''Geometrical McKay Correspondence'' *

Ron Donagi Ron Yehuda Donagi (born March 9, 1956) is an American mathematician, working in algebraic geometry and string theory. Career Donagi received a Ph.D. in 1977 under the supervision of Phillip Griffiths from Harvard University (''On the geometry of ...

, ''Griffiths' intermediate Jacobians, integrable systems, and string theory'' * John Etnyre, '' Legendrian knots in high dimensions'' * Joe Harris, ''Are Cubics Rational?'' *

, ''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 In mathematics, the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex algebraic variety to its subvarieties. In simple terms, the Hodge conjectur ...

'' * Justin Sawon, ''Twisted Fourier–Mukai transforms for holomorphic symplectic manifolds'' *

Wilfried Schmid Wilfried Schmid (born May 28, 1943) is a German-American mathematician who works in Hodge theory, representation theory, and automorphic forms. After graduating as valedictorian of Princeton University's class of 1964, Schmid earned his Ph.D. at ...

, ''Automorphic distributions, L-functions, and functional equations'' * Jeff Viaclovsky, ''Fully nonlinear equations and

conformal geometry In mathematics, conformal geometry is the study of the set of angle-preserving ( conformal) transformations on a space. In a real two dimensional space, conformal geometry is precisely the geometry of Riemann surfaces. In space higher than two di ...

'' *

Claire Voisin Claire Voisin (born 4 March 1962) is a French mathematician known for her work in algebraic geometry. She is a member of the French Academy of Sciences and held the chair of algebraic geometry at the Collège de France from 2015 to 2020. Work Sh ...

, ''K-correspondences and intrinsic pseudovolume forms''

2004 at Courant

, ''The Hypoelliptic Laplacian on the

Cotangent Bundle In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. It may be described also as the dual bundle to the tangent bundle. This m ...

'' * Yasha Eliashberg, ''Positive Loops of Contact Transformations'' * Blaine Lawson, ''Projective Hulls and the Projective Gelfand Transformation'' *

, ''Applications of J-holomorphic Curves'' * Xiaochun Rong, ''Local splitting structures on nonpositively curved manifolds'' *

, ''Algebraic topology in string backgrounds'' *

, ''Extremal Metrics and Holomorphic Discs'' *

, ''

Gauge Theory In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local transformations according to certain smooth families of operations (Lie groups). Formally, t ...

Scattering From Curves In CP3''

2005 at Stony Brook

* Nancy Hingston, ''Periodic solutions of Hamilton's equations on tori'' *

Sergiu Klainerman Sergiu Klainerman (born May 13, 1950) is a mathematician known for his contributions to the study of hyperbolic differential equations and general relativity. He is currently the Eugene Higgins Professor of Mathematics at Princeton University, ...

, ''Null hypersurfaces and curvature estimates in

general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...

'' *

, ''Singular structure of

mean curvature flow In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of sur ...

'' * Frank Pacard, ''Blowing up

s with constant

'' * Rahul Pandharipande, ''A topological view of Gromov-Witten theory'' * Igor Rodniansky, ''Non-linear waves and Einstein geometry'' *

Yum-Tong Siu Yum-Tong Siu (; born May 6, 1943) is a Chinese mathematician. He is the William Elwood Byerly Professor of Mathematics at Harvard University. Siu is a prominent figure in the study of functions of several complex variables. His research interes ...

, ''Methods of singular metrics in

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

'' *

Katrin Wehrheim Katrin Wehrheim (born 1974) is an associate professor of mathematics at the University of California, Berkeley. Wehrheim's research centers around symplectic topology and gauge theory, and they are known for work on pseudoholomorphic quilts. With ...

, ''Floer theories in

symplectic topology Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the ...

and

gauge theory In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local transformations according to certain smooth families of operations (Lie groups). Formally, t ...

2006 at Penn

, ''Differentiation, bi-Lipschitz nonembedding and embedding'' *

Charles Fefferman Charles Louis Fefferman (born April 18, 1949) is an American mathematician at Princeton University, where he is currently the Herbert E. Jones, Jr. '43 University Professor of Mathematics. He was awarded the Fields Medal in 1978 for his contribu ...

, ''Fitting a smooth function to data'' * Helmut Hofer, ''On the analytic and geometric foundations of symplectic field theory'' * Ko Honda, ''Reeb vector fields and open book decompositions'' * William H. Meeks, ''The Dynamics Theorem for embedded minimal surfaces'' *

Yair Minsky Yair Nathan Minsky (born in 1962) is an Israeli- American mathematician whose research concerns three-dimensional topology, differential geometry, group theory and holomorphic dynamics. He is a professor at Yale University. He is known for havin ...

, ''Asymptotic geometry of the

mapping class group In mathematics, in the subfield of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a certain discrete group corresponding to symmetries of the space. Mo ...

'' *

Frank Morgan Francis Phillip Wuppermann (June 1, 1890 – September 18, 1949), known professionally as Frank Morgan, was an American character actor. He was best known for his appearances in films starting in the silent era in 1916, and then numerous sound ...

, ''Manifolds with Density'' * Zoltan Szabo, '' Link Floer homology and the Thurston norm''

2007 at Maryland

Dan Freed Daniel Stuart Freed (born 17 April 1959) is an American mathematician, specializing in global analysis and its applications to supersymmetry, string theory, and quantum field theory. He is currently the Shiing-Shen Chern Professor of Mathematics a ...

, ''Secondary differential-geometric invariants, generalized cohomology, and QCD'' * Xiaobo Lu, ''

Mean curvature flow In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of sur ...

for isoparametric submanifolds'' * Vitali Kapovitch, ''Some open problems in comparison geometry'' *

Maryam Mirzakhani Maryam Mirzakhani (, ; 12 May 1977 – 14 July 2017) was an Iranian mathematician and a professor of mathematics at Stanford University. Her research topics included Teichmüller space, Teichmüller theory, hyperbolic geometry, ergodic the ...

, 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 Simon Brendle (born June 1981) is a German-American mathematician working in differential geometry and nonlinear partial differential equations. At the age of 19, he received his Dr. rer. nat. from Tübingen University under the supervision of Ge ...

, ''Blow-up phenomena for the Yamabe PDE in high dimensions''

2008 at Duke

* Michael Anderson, ''Conformally compact Einstein metrics with prescribed conformal infinity'' * Robert Bryant, ''Riemannian Submersions as PDE'' * Greg Galloway, ''Stability of marginally trapped surfaces with applications to black holes'' * Marcus Khuri, ''The

Yamabe Problem The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvatur ...

Revisited'' * John Lott, ''

Optimal transport In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources. The problem was formalized by the French mathematician Gaspard Monge in 1781.G. Monge. ''M� ...

Riemannian geometry Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as manifold, smooth manifolds with a ''Riemannian metric'' (an inner product on the tangent space at each point that varies smooth function, smo ...

and

'' * William Minicozzi, ''The rate of change of width under flows'' * Duong Phong, ''Stability and constant

'' * Jeff Viaclovsky, ''Orthogonal Complex Structures''

2009 at Stony Brook

, '' Quantitative Behavior of Maps from the

Heisenberg Group In mathematics, the Heisenberg group H, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form : \begin 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1\\ \end under the operation of matrix multiplication. Elements ''a, b' ...

to L1'' * Marcos Dajczer, ''Conformal Killing graphs with prescribed

mean curvature In mathematics, the mean curvature H of a surface S is an ''extrinsic'' measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space. The ...

'' * Karsten Grove, '' Positive curvature: the quest for examples'' *

Wolfgang Meyer Wolfgang Meyer (13 August 1954 – 17 March 2019) was a German clarinetist and professor of clarinet at the Musikhochschule Karlsruhe. He worked internationally as a soloist, in chamber music ensembles, and in jazz, with a repertoire from early mu ...

, '' The Contributions of

Riemannian Geometry Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as manifold, smooth manifolds with a ''Riemannian metric'' (an inner product on the tangent space at each point that varies smooth function, smo ...

'' * Gabriel Paternain, ''Transparent Connections over Negatively Curved Surfaces'' * Christina Sormani, '' The Intrinsic Flat Distance between Riemannian Manifolds'' * Guofang Wei, '' Smooth Metric Measure Spaces''

2010 at Courant

Tim Austin Timothy Austin (born April 14, 1971) is an American former professional boxer. He is now a coach at the Cincinnati Golden Gloves gym in Cincinnati. Amateur career Austin had an outstanding amateur career, compiling a record of 113–9. Amateu ...

(UCLA): Rational group ring elements with kernels having irrational von Neumann dimension * Xiuxiong Chen (UW Madison): The space of Kaehler metrics *

(MIT): Sharp Hölder continuity of tangent cones for spaces with a lower

bound and applications *

Marianna Csörnyei Marianna Csörnyei (born October 8, 1975 in Budapest) is a Hungarian mathematician who works as a professor at the University of Chicago. She does research in real analysis, geometric measure theory, and geometric nonlinear functional analysis. Sh ...

(University College London and Yale): Tangents of null sets *

Larry Guth Lawrence David Guth (; born 1977) is a professor of mathematics at the Massachusetts Institute of Technology. Education and career Guth graduated from Yale University in 2000 with a BS in mathematics. In 2005, he received his PhD in mathemati ...

(U Toronto): Contraction of surface areas vs. topology of mappings *

Jeremy Kahn Jeremy Adam Kahn (born October 26, 1969) is an American mathematician. He works on hyperbolic geometry, Riemann surfaces and complex dynamics. Education Kahn grew up in New York City and attended Hunter College High School. He was a child prodi ...

(Stony Brook): Essential immersed surfaces in closed

hyperbolic Hyperbolic may refer to: * of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics ** Hyperbolic geometry, a non-Euclidean geometry ** Hyperbolic functions, analogues of ordinary trigonometric functions, defined u ...

three-manifolds *

(Princeton): Kähler–Ricci flow through finite-time singularities

2011 at Penn

Hubert Bray Hubert Lewis Bray is a mathematician and differential geometer. He is known for having proved the Riemannian Penrose inequality. He works as professor of mathematics and physics at Duke University. Early life and education He earned his B.A. a ...

(Duke): On

dark matter In astronomy, dark matter is an invisible and hypothetical form of matter that does not interact with light or other electromagnetic radiation. Dark matter is implied by gravity, gravitational effects that cannot be explained by general relat ...

spiral galaxies Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work ''The Realm of the Nebulae''

, and the axioms of

(MIT): Generic

(Stony Brook): On Hermitian Einstein 4-manifolds * Natasa Sesum (Rutgers): Yamabe Solitons * Pete Storm (Jane Street Capital): Infinitesimal rigidity of hyperbolic manifolds with totally geodesic boundary * Brian Weber (Courant): Regularity and convergence of extremal Kaehler metrics *

(Harvard): An appreciation of

and his work *

(Harvard): Quasi-local mass in

2012 at Duke

* John Etnyre (Georgia Institute of Technology): Surgery and tight contact structures * Valentino Tosatti (Columbia University): The evolution of a

Hermitian metric In mathematics, and more specifically in differential geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as ...

by its Chern-Ricci curvature * Carla Cederbaum (Duke University): From

Newton Newton most commonly refers to: * Isaac Newton (1642–1726/1727), English scientist * Newton (unit), SI unit of force named after Isaac Newton Newton may also refer to: People * Newton (surname), including a list of people with the surname * ...

Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...

: A guided tour through space and time *

Jan Metzger Jan, JaN or JAN may refer to: Acronyms * Jackson, Mississippi (Amtrak station), US, Amtrak station code JAN * Jackson-Evers International Airport, Mississippi, US, IATA code * Jabhat al-Nusra (JaN), a Syrian militant group * Japanese Article Num ...

(Institute for Mathematics, University of Potsdam ): On isoperimetric surfaces in asymptotically flat manifolds * Fernando Codá Marques (IMPA, Brazil): Min-max theory and the

Willmore conjecture In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was ...

* Yanir Rubinstein (Stanford University):

metrics on

s *

(Stanford University): Rotational symmetry of self-similar solutions to the

* Mu-Tao Wang (Columbia University): A variational problem for isometric embeddings and its applications in

* Gordana Matic (University of Georgia): Contact invariant in Sutured

and fillability

2013 at Maryland

* Bo Berndtsson (Chalmers University): Variations of Bergman kernels and symmetrization of plurisubharmonic functions *

Simon Donaldson Sir Simon Kirwan Donaldson (born 20 August 1957) is an English mathematician known for his work on the topology of smooth function, smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähl ...

(Imperial College, London): Kähler-Einstein metrics, extremal metrics and stability * Hans-Joachim Hein (Imperial College, London): Singularities of Kähler-Einstein metrics and complete Calabi–Yau manifolds *

Peter Kronheimer Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former ...

(Harvard University): Instanton homology for knots and webs * Andrea Malchiodi (SISSA): Uniformization of surfaces with conical singularities *

Aaron Naber Aaron Naber (born November 16, 1982) is an American mathematician. Education and career Aaron Naber graduated in 2005 with a B.S. in mathematics from Pennsylvania State University. He received his Ph.D. in mathematics in 2009 from Princeton Uni ...

(MIT): Characterizations of bounded Ricci curvature and applications *

Yuval Peres Yuval Peres (; born 5 October 1963) is an Israeli mathematician best known for his research in probability theory, ergodic theory, mathematical analysis, theoretical computer science, and in particular for topics such as fractals and Hausdorff m ...

(Microsoft Research): The geometry of fair allocation to random points * Brian White (Stanford University): Gap theorems for minimal submanifolds of spheres

2014 at Stony Brook

* Robert Bryant (Duke University): Rolling surfaces and exceptional geometry * Alice Chang (Princeton University): On positivity of a class of conformal covariant operators *

Mihalis Dafermos Mihalis Dafermos (Greek: Μιχάλης Δαφέρμος; born October 1976) is a Greek mathematician. He is Professor of Mathematics at Princeton University and holds the Lowndean Chair of Astronomy and Geometry at the University of Cambridge. ...

(Princeton University): On null singularities for the Einstein vacuum equations and the strong cosmic censorship conjecture in general relativity *

(Stony Brook): Mirror symmetry between Toric A model and LG B model: some recent progress * Matthew Gursky (Notre Dame University): Critical metrics on connected sums of Einstein four-manifolds * Robert Haslhofer (New York University): Mean curvature flow with surgery * Andre Neves (Imperial College): Existence of minimal hypersurfaces * Song Sun (Stony Brook): Kähler-Einstein metrics: Gromov-Hausdorff limits and algebraic geometry

2015 at Courant

Gábor Székelyhidi Gábor Székelyhidi (born 30 June 1981 in Debrecen) is a Hungarian mathematician, specializing in differential geometry. Gábor Székelyhidi, the brother of László Székelyhidi, graduated from Trinity College, Cambridge with a bachelor's degree ...

(Notre Dame): Kahler-Einstein metrics along the smooth continuity method * Blaine Lawson (Stony Brook): Potential theory for nonlinear PDE's *

John Pardon John Vincent Pardon (born June 1989) is an American mathematician and works on geometry and topology. He is primarily known for having solved Gromov's problem on distortion of knots, for which he was awarded the 2012 Morgan Prize. He is a perman ...

(Stanford): Existence of Lefschetz vibrations on Stein/Weinstein domains * Raanan Schul (Stony Brook): Qualitative and quantitative rectifiability *

Ursula Hamenstädt Ursula Hamenstädt (born 15 January 1961) is a German mathematician who works as a professor at the University of Bonn.Tatiana Toro Tatiana Toro (born 1964) is a Colombian-American mathematician at the University of Washington.. Her research is "at the interface of geometric measure theory, harmonic analysis and partial differential equations".. Toro was appointed director of ...

(Washington): Almost minimizers with free boundary *

Richard Bamler Richard is a male given name. It originates, via Old French, from Old Frankish and is a compound of the words descending from Proto-Germanic language">Proto-Germanic ''*rīk-'' 'ruler, leader, king' and ''*hardu-'' 'strong, brave, hardy', and ...

(Berkeley): There are finitely many surgeries in Perelman's Ricci flow

2016 at Princeton

(Stony Brook): Mass in Kähler Geometry *

Ian Agol Ian Agol (; born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Education and career Agol graduated with B.S. in mathematics from the California Institute of Technology in 1992 a ...

(UC Berkeley and IAS): Pseudo-Anosov stretch factors and homology of mapping tori *

Davi Maximo Davi may refer to: *Davi (Pashtun tribe), a Pashtun tribe of central Asia * DAVI, the Dutch Automated Vehicle Initiative Davi is also a variant of the name David. Notable people with this name include: Given name * Davi (footballer, born 1944), f ...

(Stanford): Minimal surfaces with bounded index * Fernando Marques (Princeton): Morse index and multiplicity of min-max minimal hypersurfaces * Nancy Hingston (The College of New Jersey): Loop Products, Index Growth, and Dynamics * Jennifer Hom (Georgia Tech and IAS): Symplectic four-manifolds and Heegaard Floer homology * Fengbo Hang (NYU, Courant): Fourth order Paneitz operator and Q curvature equation * Jake Solomon (Hebrew University): The space of positive Lagrangians

2017 at Duke

*Lucas Ambrozio (Imperial College) - Some new results for free boundary minimal surfaces * Otis Chodosh (Princeton) - ''Some new results on the global geometry of scalar curvature'' *Mark Haskins (Imperial College) *Chi Li (Purdue) - ''On metric tangent cones at Klt singularities'' *Marco Radeschi (Notre Dame) - "When all geodesics are closed" * Christina Sormani (CUNY) - "The Limits of Sequences of manifolds with Nonnegative Scalar Curvature" *Jeff Streets (UC Irvine) - Generalized Kahler Ricci flow and a generalized Calabi conjecture

2018 at Penn

* Jean-Pierre Bourguignon (IHES) *

(Penn) *

(Stanford) * Carolyn S. Gordon (Dartmouth) *Daniel Ketover (Princeton) *Yevgeny Liokumovich (MIT) * Rick Schoen (UC Irvine) *Jenny Wilson (Stanford)

2019 at Maryland

* Yann Brenier (ETH, Zurich) - ''Fluid Mechanics and Geometry'' *

Dietmar Salamon Dietmar Arno Salamon (born 7 March 1953 in Bremen) is a German mathematician. Education and career Salamon studied mathematics at the Leibniz University Hannover. In 1982 he earned his doctorate at the University of Bremen with dissertation ''On c ...

(CNRS, DMA-École Normale Supérieure ) - ''Moment maps in symplectic and Kähler geometry'' * Aleksandr Logunov (IAS, Princeton) - ''Zero sets of Laplace eigenfunctions'' * Jim Bryan (University of British Columbia) AG - ''The enumerative geometry and arithmetic of some of the world’s Tiniest Calabi–Yau threefolds'' * Yi Wang (Johns Hopkins University) - ''Boundary operator associated to σ_k curvature'' *

Steven Zelditch Steven Morris Zelditch (13 September 1953 – 11 September 2022) was an American mathematician, specializing in global analysis, complex geometry, and mathematical physics (''e.g.'' quantum chaos). Zelditch received in 1975 from Harvard Universi ...

(Northwestern University) - ''Spectral asymptotics on stationary spacetimes'' * Xuwen Zhu (University of California, Berkeley) ''Spherical Metrics with Conical Singularities'' * Alex Wright (University of Michigan) - ''Nearly Fuchsian surface subgroups of finite covolume Kleinian groups''

2021 at Stony Brook (via Zoom)

Joel Spruck Joel Spruck (born 1946) is a mathematician, J. J. Sylvester Professor of Mathematics at Johns Hopkins University, whose research concerns geometric analysis and elliptic partial differential equations. He obtained his PhD from Stanford University ...

(Johns Hopkins University) - ''A Personal Tribute to Louis Nirenberg'' * Akito Futaki (Yau Center, Tsinghua) - ''Deformation Quantization, and Obstructions to the Existence of Closed Star Products'' *

Jean-Pierre Demailly Jean-Pierre Demailly (25 September 1957 – 17 March 2022) was a French mathematician who worked in complex geometry. He was a professor at Université Grenoble Alpes and a permanent member of the French Academy of Sciences. Early life and educ ...

(Institut Fourier, Grenoble) - ''Holomorphic Morse Inequalities, Old and New'' * Tristan Collins (MIT) - ''SYZ Mirror Symmetry for del Pezzo Surfaces'' * Jim Isenberg (University of Oregon) - ''Some Recent Results on Ricci Flow'' * Chiu-Chu Melissa Liu (Columbia University) - ''Topological Recursion and Crepant Transformation Conjecture'' * Bing Wang (USTC) - ''Local entropy along the Ricci flow'' *

(SCGP, Stony Brook/ Imperial College, London) - ''Some boundary value and mapping problems for differential forms''

2022 at Courant (online)

Panagiota Daskalopoulos Panagiota Daskalopoulos is a professor of mathematics at Columbia University. whose research involves partial differential equations and differential geometry.. At Columbia, she also serves as director of undergraduate studies for mathematics. Das ...

(Columbia University) - ''Ancient solutions to geometric flows'' *Jingyin Huang (The Ohio State University) - ''The Helly geometry of some fundamental groups of complex hyperplane arrangement complements'' *Wenshuai Jiang (Zhejiang University) - ''Gromov–Hausdorff limit of manifolds and some applications'' *Chao Li (Courant Institute of Mathematical Sciences) - ''The geometry and topology of scalar curvature in low dimensions'' *

Ciprian Manolescu Ciprian Manolescu (; born December 24, 1978) is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University. Biography Manolescu ...

(Stanford University) - ''A knot Floer stable homotopy type'' * Assaf Naor (Princeton University) - ''Extension, separation and isomorphic reverse isoperimetry'' * André Neves (University of Chicago) - ''Geodesics and minimal surfaces'' *Lu Wang (Yale University) - ''Hypersurfaces of low entropy are isotopically trivial'' *Ruobing Zhang (Princeton University) - ''Metric geometry of Calabi–Yau manifolds in complex dimension two''

References

{{reflist

External links

XIIth Geometry Festival, 1997XVIIth Geometry Festival, 2002XVIIIth Geometry Festival, 2003XIXth Geometry Festival, 2004

23rd Geometry Festival, 200824th Geometry Festival 2009
in memory of

27th Geometry Festival, 201229th Geometry Festival, 201430th Geometry Festival, 201531st Geometry Festival, 201632nd Geometry Festival, 201733rd Geometry Festival, 201835th Geometry Festival, 202136th Geometry Festival, 2022
Mathematics conferences