Biography:Alexander Goncharov
Alexander B. Goncharov (born April 7, 1960) is a Soviet American mathematician and the Philip Schuyler Beebe Professor of Mathematics at Yale University. He won the EMS Prize in 1992.
Goncharov won a gold medal at the International Mathematical Olympiad in 1976. He attained his doctorate at Lomonosov Moscow State University in 1987, under supervision of Israel Gelfand with thesis Generalized conformal structures on manifolds.[1] Goncharov was an Invited Speaker at the 1994 International Congress of Mathematicians and gave a talk Polylogarithms in arithmetic and geometry.
In 2019, Goncharov was appointed the Philip Schuyler Beebe Professor of Mathematics at Yale University,[2] as well as the Gretchen and Barry Mazur Chair at the Institut des hautes études scientifiques.[3]
Selected publications
- Goncharov, A.B. (1995). "Geometry of configurations, polylogarithms, and motivic cohomology". Advances in Mathematics 114 (2): 197–318. doi:10.1006/aima.1995.1045.
- (with A. M. Levin) Goncharov, A. B.; Levin, A. M. (1998). "Zagier's conjecture on L(E,2)". Inventiones Mathematicae 132 (2): 393–432. doi:10.1007/s002220050228. Bibcode: 1998InMat.132..393G.
- Goncharov, Alexander (1999). "Volumes of hyperbolic manifolds and mixed Tate motives". Journal of the American Mathematical Society 12 (2): 569–618. doi:10.1090/S0894-0347-99-00293-3.
- (with P. Deligne) Deligne, P.; Goncharov, A. (2005), "Groupes fondamentaux motiviques de Tate mixte", Annales Scientifiques de l'École Normale Supérieure 38 (1): 1–56, doi:10.1016/j.ansens.2004.11.001, http://www.numdam.org/articles/10.1016/j.ansens.2004.11.001/
- (with V. V. Fock) Fock, Vladimir; Goncharov, Alexander (2006). "Moduli spaces of local systems and higher Teichmüller theory". Publications Mathématiques de l'IHÉS 103: 1–211. doi:10.1007/s10240-006-0039-4.
- (with V. V. Fock) Fock, V.V.; Goncharov, A.B. (2009). "The quantum dilogarithm and representations of quantum cluster varieties". Inventiones Mathematicae 175 (2): 223–286. doi:10.1007/s00222-008-0149-3.
- (with H. Gangl, A. Levin) Gangl, Herbert; Goncharov, Alexander B.; Levin, Andrey (2007). "Multiple logarithms, algebraic cycles and trees". in Cartier, Pierre; Moussa, Pierre; Julia, Bernard et al.. Frontiers in Number Theory, Physics and Geometry. 2. Springer Verlag. pp. 759–774. doi:10.1007/978-3-540-30308-4_16. ISBN 978-3-540-30307-7.
- (with V. V. Fock) Goncharov, Alexander B.; Fock, Vladimir V. (2009). "Cluster ensembles, quantization and the dilogarithm". Annales Scientifiques de l'École Normale Supérieure 42 (6): 865–930. doi:10.24033/asens.2112.
- (with R. Kenyon) Kenyon, Richard; Goncharov, Alexander B. (2013). "Dimers and cluster integrable systems". Annales Scientifiques de l'École Normale Supérieure 46 (5): 747–813. doi:10.24033/asens.2201. http://www.numdam.org/articles/10.24033/asens.2201/.
- (with T. Dimofte, M. Gabella) Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. (2016). "K-decompositions and 3d gauge theories". Journal of High Energy Physics 2016 (11): #151. doi:10.1007/JHEP11(2016)151. Bibcode: 2016JHEP...11..151D.
- (with J. Golden, M. Spradlin, C. Vergu, A. Volovich) Golden, J. K.; Goncharov, A. B.; Spradlin, M.; Vergu, C.; Volovich, A. (2014). "Motivic Amplitudes and Cluster Coordinates". Journal of High Energy Physics 2014: #91. doi:10.1007/JHEP01(2014)091. Bibcode: 2014JHEP...01..091G.
See also
References
- ↑ "Curriculum Vitae". http://research.brown.edu/pdf/1106970220.pdf?nocache=498919904.
- ↑ "Alexander Goncharov named the Beebe Professor of Mathematics" (in en). 2019-05-28. https://news.yale.edu/2019/05/28/alexander-goncharov-named-beebe-professor-mathematics.
- ↑ "Special Day 'Journée Gretchen & Barry Mazur'" (in en-US). 2019-06-25. https://www.ihes.fr/en/special-day-journee-gretchen-barry-mazur/.
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