Anton Yurevich Alekseev (Антон Юрьевич Алексеев, born 9 August 1967) is a Russian mathematician. Alekseev was a student of

Ludvig Faddeev Ludvig Dmitrievich Faddeev (also ''Ludwig Dmitriyevich''; russian: Лю́двиг Дми́триевич Фадде́ев; 23 March 1934 – 26 February 2017) was a Soviet and Russian mathematical physicist. He is known for the discovery of the ...

. Alekseev worked at the

Steklov Institute Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...

in Saint Petersburg and at the beginning of the 1990s at

Uppsala University Uppsala University ( sv, Uppsala universitet) is a public research university in Uppsala, Sweden. Founded in 1477, it is the oldest university in Sweden and the Nordic countries still in operation. The university rose to significance durin ...

. He is now a professor ordinarius at the

University of Geneva The University of Geneva (French: ''Université de Genève'') is a public research university located in Geneva, Switzerland. It was founded in 1559 by John Calvin as a theological seminary. It remained focused on theology until the 17th centur ...

. Alekseev does research on representation theory of Lie groups and algebras, moment theory, symplectic geometry and mathematical physics. In 2006 he, with Eckhard Meinrenken, published in ''

Inventiones Mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...

'' a proof of the Kashiwara-Vergne conjecture.arXiv preprint
/ref> In 2008 he gave a new proof with Charles Torossian. In 2014 Alekseev was an invited speaker with talk ''Three lives of the Gelfand-Zeitlin integrable system'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in Seoul.

Selected publications

*as editor with A. Hietamäki, K. Huitu, A. Morozov, Antti Juhani Niemi: Integrable Models and Strings, Proceedings of the 3rd Baltic Rim Student Seminar Held at Helsinki, Finland, 13.–17. September 1993, Springer, Lecture Notes in Physics, 1994
abstract
**within the ''Proceedings'' by Anton Alekseev and A. Malkin: Symplectic geometry and the Chern-Simons theory, pp. 59–9
preprint
*with Eckhard Meinrenken: The non commutative Weil Algebra, Inventiones Mathematicae, vol. 139, 2000, pp. 135–172
Arxiv
*with Eckhard Meinrenken: Poisson geometry and the Kashiwara-Vergne conjecture, C. R. Acad. Sci., 335, 2003, pp. 723–728
Arxiv
*with Eckhard Meinrenken: Clifford algebras and the classical dynamical Yang-Baxter-Equations, Math.Res.Lett., vol. 10, 2003, pp. 253–268
Arxiv
*with Eckhard Meinrenken: On the Kashiwara-Vergne conjecture, Inventiones Mathematicae 164, 2006, 615–634
Arxiv
*with Carlo A. Rossi, Charles Torossian,

Thomas Willwacher Thomas Hans Willwacher (born 12 April 1983) is a German mathematician and mathematical physicist working as a Professor at the Institute of Mathematics, ETH Zurich. Biography Willwacher completed his PhD at ETH Zurich in 2009 with a thesis on "C ...

: Logarithms and Deformation Quantization, Inventiones Mathematicae, vol. 206, 2016, pp. 1–26
Arxiv
*with C. Torossian: The Kashiwara-Vergne Conjecture and Drinfeld's associators, Annals of Mathematics, vol. 175, 2012, pp. 415–463
Arxiv
*with C. Torossian: On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras, C. R. Math. Acad. Sci. Paris, vol. 347, 2009, pp. 21–22, 1231–1236
Arxiv
*with C. Torossian: Kontsevich deformation quantization and flat connections, Comm. Math. Phys., vol. 300, 2010, pp. 47–64
Arxiv
*with B. Enriquez, C. Torossian: Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations, Publ. Math. Inst. Hautes Études Sci., Band 112, 2010, S. 143–189
Arxiv
*with Arkady Berenstein, Benjamin Hoffman, Yanpeng Li: Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization
Arxiv 2018

References

External links

mathnet.ru
* * * * {{DEFAULTSORT:Alekseev, Anton 1967 births Living people 20th-century Russian mathematicians 21st-century Russian mathematicians Saint Petersburg State University alumni Academic staff of Uppsala University Academic staff of the University of Geneva