Anton Yurevich Alekseev (Антон Юрьевич Алексеев, born 9 August 1967) is a Russian mathematician.
Alekseev was a student of Ludvig Faddeev. Alekseev worked at the Steklov Institute in Saint Petersburg and, at the beginning of the 1990s, at Uppsala University, Sweden. He is now a professor ordinarius at the University of Geneva. [1]
Alekseev does research on representation theory of Lie groups and algebras, moment theory, symplectic geometry and mathematical physics. [1]
In 2006 he, with Eckhard Meinrenken, published in Inventiones Mathematicae a proof of the Kashiwara-Vergne conjecture. [2] In 2008 he gave a new proof with Charles Torossian. [3]
In 2014 Alekseev was an invited speaker with talk Three lives of the Gelfand-Zeitlin integrable system at the International Congress of Mathematicians in Seoul.
In 2020 Alekseev received the Medal of the Erwin Schrödinger International Institute for Mathematics and Physics. [4]

Maxim Lvovich Kontsevich 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 received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Breakthrough Prize in Fundamental Physics in 2012, and the Breakthrough Prize in Mathematics in 2015.
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds. In classical mechanics, a symplectomorphism represents a transformation of phase space that is volume-preserving and preserves the symplectic structure of phase space, and is called a canonical transformation.
In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization, for which there is in general no exact recipe, in such a way that certain analogies between the classical theory and the quantum theory remain manifest. For example, the similarity between the Heisenberg equation in the Heisenberg picture of quantum mechanics and the Hamilton equation in classical physics should be built in.

Yuri Ivanovich Manin was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Bertram Kostant was an American mathematician who worked in representation theory, differential geometry, and mathematical physics.
Shlomo Zvi Sternberg was an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory.
Alan David Weinstein is a professor of mathematics at the University of California, Berkeley, working in the field of differential geometry, and especially in Poisson geometry.
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.
Johannes Jisse (Hans) Duistermaat was a Dutch mathematician.
Eckhard Meinrenken is a German-Canadian mathematician working in differential geometry and mathematical physics. He is a professor at University of Toronto.
Michèle Vergne (born August 29, 1943, in L’Isle-Adam, Val d´Oise) is a French mathematician, specializing in analysis and representation theory.
In mathematics, more specifically in the context of geometric quantization, quantization commutes with reduction states that the space of global sections of a line bundle L satisfying the quantization condition on the symplectic quotient of a compact symplectic manifold is the space of invariant sections of L.
Pierre Bieliavsky, is a Belgian mathematician.
This is a glossary of properties and concepts in symplectic geometry in mathematics. The terms listed here cover the occurrences of symplectic geometry both in topology as well as in algebraic geometry. The glossary also includes notions from Hamiltonian geometry, Poisson geometry and geometric quantization.
Gabriele Vezzosi is an Italian mathematician, born in Florence, Italy. His main interest is algebraic geometry.

Jun-Muk Hwang is a South Korean mathematician, specializing in algebraic geometry and complex differential geometry.
Ivan Smith is a British mathematician who deals with symplectic manifolds and their interaction with algebraic geometry, low-dimensional topology, and dynamics. He is a professor at the University of Cambridge.
Laurent Fargues is a French mathematician working in number theory and arithmetic geometry.
Giovanni Felder is a Swiss mathematical physicist and mathematician, working at ETH Zurich. He specializes in algebraic and geometric properties of integrable models of statistical mechanics and quantum field theory.
Alberto Sergio Cattaneo is an Italian mathematician and mathematical physicist, specializing in geometry related to quantum field theory and string theory.