Mihnea Popa (born 11 August 1973) is a Romanian-American mathematician at Harvard University, specializing in algebraic geometry. [1] He is known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles.
Popa received his bachelor's degree in 1996 from the University of Bucharest. He studied mathematics at the University of California, Los Angeles from 1996 to 1997, and then in 2001 he received his Ph.D. from the University of Michigan under the supervision of Robert Lazarsfeld. His thesis was titled Linear Series on Moduli Spaces of Vector Bundles on Curves. [2] From 2001 to 2005, Popa was a Benjamin Peirce Assistant Professor at Harvard University and from 2005 to 2007 an assistant professor at the University of Chicago. He joined the University of Illinois at Chicago as an associate professor in 2007 and became a full professor in 2011. In 2014 he moved to Northwestern University, and in 2020 he became a professor at Harvard University. [3]
Popa is an honorary member of the Institute of Mathematics of the Romanian Academy. [4] He was an AMS Centennial Fellow in 2005–2007, a Sloan Research Fellow in 2007–2009, and a Simons Fellow in 2015–2016. [1] In 2015 he became a fellow of the American Mathematical Society. [5] In 2018 he was an Invited Speaker at the International Congress of Mathematicians in Rio de Janeiro. [6]
In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.
Sir William Vallance Douglas Hodge was a British mathematician, specifically a geometer.
Phillip Augustus Griffiths IV is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He is a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory, which forms part of transcendental algebraic geometry and which also touches upon major and distant areas of differential geometry. He also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner on Exterior Differential Systems.
Danny Matthew Cornelius Calegari is a mathematician and, as of 2023, a professor of mathematics at the University of Chicago. His research interests include geometry, dynamical systems, low-dimensional topology, and geometric group theory.
Richard Paul Winsley Thomas is a British mathematician working in several areas of geometry. He is a professor at Imperial College London. He studies moduli problems in algebraic geometry, and ‘mirror symmetry’—a phenomenon in pure mathematics predicted by string theory in theoretical physics.
Lauren Kiyomi Williams is an American mathematician known for her work on cluster algebras, tropical geometry, algebraic combinatorics, amplituhedra, and the positive Grassmannian. She is Dwight Parker Robinson Professor of Mathematics at Harvard University.
In algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor on a variety. The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor. It is a large generalization of the notion of the Newton polytope of a projective toric variety.
Sorin Teodor Popa is a Romanian American mathematician working on operator algebras. He is a professor at the University of California, Los Angeles.
Yujiro Kawamata is a Japanese mathematician working in algebraic geometry.
Prakash Belkale is an Indian-American mathematician, specializing in algebraic geometry and representation theory.
Jean-Pierre Demailly 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.
Dan Abramovich is an Israeli-American mathematician working in the fields of algebraic geometry and arithmetic geometry. As of 2019, he holds the title of L. Herbert Ballou University Professor at Brown University, and he is an Elected Fellow of the American Mathematical Society.
Lawrence Man Hou Ein is a mathematician who works in algebraic geometry.
Mircea Immanuel Mustață is a Romanian-American mathematician, specializing in algebraic geometry.
Serguei Barannikov is a mathematician, known for his works in algebraic topology, algebraic geometry and mathematical physics.
In mathematics, a Siegel modular variety or Siegel moduli space is an algebraic variety that parametrizes certain types of abelian varieties of a fixed dimension. More precisely, Siegel modular varieties are the moduli spaces of principally polarized abelian varieties of a fixed dimension. They are named after Carl Ludwig Siegel, the 20th-century German number theorist who introduced the varieties in 1943.
David Erie Nadler is an American mathematician who specializes in geometric representation theory and symplectic geometry. He is currently a professor at the University of California, Berkeley.
Andreas Thom is a German mathematician, working on geometric group theory, algebraic topology, ergodic theory of group actions, and operator algebras.
Bhargav Bhatt is an Indian-American mathematician who is the Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra.
Morihiko Saitō is a Japanese mathematician, specializing in algebraic analysis and algebraic geometry.