Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
Don Bernard Zagier is an American-German mathematician whose main area of work is number theory. He is currently one of the directors of the Max Planck Institute for Mathematics in Bonn, Germany. He was a professor at the Collège de France in Paris from 2006 to 2014. Since October 2014, he is also a Distinguished Staff Associate at the International Centre for Theoretical Physics (ICTP).
Alexander Givental is a Russian-American mathematician who is currently Professor of Mathematics at the University of California, Berkeley. His main contributions have been in symplectic topology and singularity theory, as well as their relation to topological string theories.
Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017, he was elected to the National Academy of Sciences. In 2018, he received the Wolf Prize in Mathematics and in 2020 the Shaw Prize in Mathematics.
In mathematics, the Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis and studied by his student Dean Alvis. Kawanaka introduced a similar duality operation for Lie algebras.
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.
Daniel T. Wise is an American mathematician who specializes in geometric group theory and 3-manifolds. He is a professor of mathematics at McGill University.
Bernd Siebert is a German mathematician who researches in algebraic geometry.
Yves Benoist is a French mathematician, known for his work on group dynamics on homogeneous spaces. He is currently a Senior Researcher of CNRS at the University of Paris-Sud.
In algebraic geometry, the Behrend function of a scheme X, introduced by Kai Behrend, is a constructible function
In algebraic geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack , the Chow group of X is the same as the G-equivariant Chow group of Y.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
In algebraic geometry, the moduli stack of rank-n vector bundles Vectn is the stack parametrizing vector bundles of rank n over some reasonable spaces.
In algebraic geometry, given a Deligne–Mumford stack X, a perfect obstruction theory for X consists of:
- a perfect two-term complex in the derived category of quasi-coherent étale sheaves on X, and
- a morphism , where is the cotangent complex of X, that induces an isomorphism on and an epimorphism on .
Kyōji Saitō is a Japanese mathematician, specializing in algebraic geometry and complex analytic geometry.
Jun-Muk Hwang is a South Korean mathematician, specializing in algebraic geometry and complex differential geometry.
Barbara Fantechi is an Italian mathematician and Professor at the International School for Advanced Studies. Her research area is algebraic geometry. She is a member of the Accademia dei Lincei.
In mathematics, a stacky curve is an object in algebraic geometry that is roughly an algebraic curve with potentially "fractional points" called stacky points. A stacky curve is a type of stack used in studying Gromov–Witten theory, enumerative geometry, and rings of modular forms.
Yongbin Ruan is a Chinese mathematician, specializing in algebraic geometry, differential geometry, and symplectic geometry with applications to string theory.
Thomas Hermann Geisser is a German mathematician working at Rikkyo University. He works in the field of arithmetic geometry, motivic cohomology and algebraic K-theory.
