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{{For|the Russian field hockey player|Aleksandr Goncharov}}
{{For|the Russian field hockey player|Aleksandr Goncharov}}
[[File:Alexander Goncharov.jpg|thumb|220px|Alexander Goncharov]]
[[File:Alexander Goncharov.jpg|thumb|220px|Alexander Goncharov]]
'''Alexander B. Goncharov''' (born April 7, 1960) is a [[Russian American]] [[mathematician]] and professor at [[Yale University]]. He won the [[EMS Prize]] in 1992.
'''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''.<ref>http://research.brown.edu/pdf/1106970220.pdf?nocache=498919904</ref> Goncharov was an Invited Speaker at the 1994 [[International Congress of Mathematicians]] and gave a talk ''Polylogarithms in arithmetic and geometry''.
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''.<ref>{{Cite web |url=http://research.brown.edu/pdf/1106970220.pdf?nocache=498919904 |title=Curriculum Vitae |access-date=2011-11-08 |archive-url=https://web.archive.org/web/20120425152413/http://research.brown.edu/pdf/1106970220.pdf?nocache=498919904 |archive-date=2012-04-25 |url-status=dead }}</ref> 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,<ref>{{Cite web|url=https://news.yale.edu/2019/05/28/alexander-goncharov-named-beebe-professor-mathematics|title=Alexander Goncharov named the Beebe Professor of Mathematics|date=2019-05-28|website=YaleNews|language=en|access-date=2019-06-28}}</ref> as well as the Gretchen and Barry Mazur Chair at the [[Institut des hautes études scientifiques]].<ref>{{Cite web|url=https://www.ihes.fr/en/special-day-journee-gretchen-barry-mazur/|title=Special Day 'Journée Gretchen & Barry Mazur'|date=2019-06-25|website=IHES|language=en-US|access-date=2019-06-28}}</ref>


==Selected publications==
==Selected publications==
* {{cite journal
* Geometry of configurations, polylogarithms, and motivic cohomology. Adv. Math. 114 (1995), no. 2, 197–318.
| title=Geometry of configurations, polylogarithms, and motivic cohomology
* (with A. M. Levin) Zagier's conjecture on L(E,2). Invent. Math. 132 (1998), no. 2, 393–432.
| journal=[[Advances in Mathematics]]
* Volumes of hyperbolic manifolds and mixed Tate motives. J. Amer. Math. Soc. 12 (1999), no. 2, 569–618.
| volume=114
* (with P. Deligne) Groupes fondamentaux motiviques de Tate mixte. Ann. Sci. École Norm. Sup. (4) 38 (2005), no. 1, 1–56.
| date=1995
* (with V. V. Fock) Moduli spaces of local systems and higher Teichmüller theory. Publ. Math. Inst. Hautes Études Sci. No. 103 (2006), 1–211.
| issue=2
* (with V. V. Fock) The quantum dilogarithm and representations of quantum cluster varieties. Invent. Math. 175 (2009), no. 2, 223–286.
| pages=197–318
* (with H. Gangl, A. Levin) Multiple logarithms, algebraic cycles and trees, in Pierre Cartier et. al. ''Frontiers in Number Theory, Physics and Geometry'', vol. 2, Springer Verlag 2007
| doi=10.1006/aima.1995.1045 | doi-access=free| last1=Goncharov
* (with V. V. Fock) Cluster ensembles, quantization and the dilogarithm. Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), no. 6, 865–930.
| first1=A.B.
* (with R. Kenyon) Dimers and cluster integrable systems. Ann. Sci. Éc. Norm. Supér. (4) 46 (2013), no. 5, 747–813
}}
* (with T. Dimofte, M. Gabella) K-Decompositions and 3d Gauge Theories. [http://arxiv.org/pdf/1301.0192.pdf ArXiv]
* (with A. M. Levin) {{cite journal
* (with J. Golden, M. Spradlin, C. Vergu, A. Volovich) Motivic Amplitudes and Cluster Coordinates. [http://arxiv.org/pdf/1305.1617v2.pdf ArXiv]
| title=Zagier's conjecture on L(E,2)
| journal=[[Inventiones Mathematicae]]
| volume=132
| date=1998
| issue=2
| pages=393–432
| doi=10.1007/s002220050228 | doi-access=free| last1=Goncharov
| first1=A. B.
| last2=Levin
| first2=A. M.
| bibcode=1998InMat.132..393G
}}
* {{cite journal
| title=Volumes of hyperbolic manifolds and mixed Tate motives
| journal=[[Journal of the American Mathematical Society]]
| volume=12
| date=1999
| issue=2
| pages=569–618
| doi=10.1090/S0894-0347-99-00293-3 | doi-access=free| last1=Goncharov
| first1=Alexander
}}
* (with P. Deligne) {{citation
| title=Groupes fondamentaux motiviques de Tate mixte
| journal=[[Annales Scientifiques de l'École Normale Supérieure]]
| volume=38
| date=2005
| issue=1
| pages=1–56
| doi=10.1016/j.ansens.2004.11.001| last1=Deligne
| first1=P.
| last2=Goncharov
| first2=A.
| s2cid=119144154
| url=http://www.numdam.org/articles/10.1016/j.ansens.2004.11.001/
| arxiv=math/0302267
}}
* (with V. V. Fock) {{cite journal
| title=Moduli spaces of local systems and higher Teichmüller theory
| journal=[[Publications Mathématiques de l'IHÉS]]
| volume=103
| date=2006
| pages=1–211
| doi=10.1007/s10240-006-0039-4 | doi-access=free| last1=Fock
| first1=Vladimir
| last2=Goncharov
| first2=Alexander
| arxiv=math/0311149
}}
* (with V. V. Fock) {{cite journal
| title=The quantum dilogarithm and representations of quantum cluster varieties
| journal=Inventiones Mathematicae
| volume=175
| date=2009
| issue=2
| pages=223–286
| doi=10.1007/s00222-008-0149-3 | doi-access=free| last1=Fock
| first1=V.V.
| last2=Goncharov
| first2=A.B.
| arxiv=math/0702397
}}
* (with H. Gangl, A. Levin) {{cite book
| chapter=Multiple logarithms, algebraic cycles and trees
| editor1-last=Cartier | editor1-first=Pierre
| editor2-last=Moussa | editor2-first=Pierre
| editor3-last=Julia | editor3-first=Bernard
| editor4-last=Vanhove | editor4-first=Pierre
| title=Frontiers in Number Theory, Physics and Geometry
| volume=2
| publisher=Springer Verlag
| date=2007
| pages=759–774 | doi=10.1007/978-3-540-30308-4_16| arxiv=math/0504552 | isbn=978-3-540-30307-7 | s2cid=201209 | last1=Gangl | first1=Herbert | last2=Goncharov | first2=Alexander B. | last3=Levin | first3=Andrey }}
* (with V. V. Fock) {{cite journal
| title=Cluster ensembles, quantization and the dilogarithm
| journal=Annales Scientifiques de l'École Normale Supérieure
| volume=42
| date=2009
| issue=6
| pages=865–930
| doi=10.24033/asens.2112 | doi-access=free| last1=Goncharov
| first1=Alexander B.
| last2=Fock
| first2=Vladimir V.
| arxiv=math/0311245
}}
* (with R. Kenyon) {{cite journal
| title=Dimers and cluster integrable systems
| journal=Annales Scientifiques de l'École Normale Supérieure
| volume=46
| date=2013
| issue=5
| pages=747–813
| doi=10.24033/asens.2201| last1=Kenyon
| first1=Richard
| last2=Goncharov
| first2=Alexander B.
| s2cid=17940641
| url=http://www.numdam.org/articles/10.24033/asens.2201/
| arxiv=1107.5588
}}
* (with T. Dimofte, M. Gabella) {{cite journal
| title=K-decompositions and 3d gauge theories
| journal=[[Journal of High Energy Physics]]
| volume=2016
| date=2016
| pages=#151
| doi=10.1007/JHEP11(2016)151 | doi-access=free| last1=Dimofte
| first1=Tudor
| last2=Gabella
| first2=Maxime
| last3=Goncharov
| first3=Alexander B.
| issue=11
| bibcode=2016JHEP...11..151D
| arxiv=1301.0192
}}
* (with J. Golden, M. Spradlin, C. Vergu, A. Volovich) {{cite journal
| title=Motivic Amplitudes and Cluster Coordinates
| journal=[[Journal of High Energy Physics]]
| volume=2014
| date=2014
| pages=#91
| doi=10.1007/JHEP01(2014)091 | doi-access=free| last1=Golden
| first1=J. K.
| last2=Goncharov
| first2=A. B.
| last3=Spradlin
| first3=M.
| last4=Vergu
| first4=C.
| last5=Volovich
| first5=A.
| arxiv=1305.1617
| bibcode=2014JHEP...01..091G
}}


==See also==
==See also==
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==External links==
==External links==
*[http://math.yale.edu/mathematics-people Website at Yale University]
*[https://web.archive.org/web/20140407065631/http://math.yale.edu/mathematics-people Website at Yale University]
*{{MathGenealogy |id=44006 }}
*{{MathGenealogy |id=44006 }}
*{{IMO results |id=12657 }}
*{{IMO results |id=12657 }}


{{authority control}}
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->

| NAME = Goncharov, Alexander
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = American mathematician
| DATE OF BIRTH = April 7, 1960
| PLACE OF BIRTH =
| DATE OF DEATH =
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Goncharov, Alexander}}
{{DEFAULTSORT:Goncharov, Alexander}}
[[Category:1960 births]]
[[Category:1960 births]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:American people of Russian descent]]
[[Category:American people of Russian descent]]
[[Category:American mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:Brown University faculty]]
[[Category:Brown University faculty]]
[[Category:International Mathematical Olympiad participants]]
[[Category:International Mathematical Olympiad participants]]
[[Category:Soviet mathematicians]]

[[Category:Russian mathematicians]]
{{US-mathematician-stub}}
[[Category:21st-century American mathematicians]]
[[Category:Yale University alumni]]

Latest revision as of 13:11, 5 January 2024

For the Russian field hockey player, see Aleksandr Goncharov.
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

[edit]

See also

[edit]

References

[edit]
  1. ^ "Curriculum Vitae" (PDF). Archived from the original (PDF) on 2012-04-25. Retrieved 2011-11-08.
  2. ^ "Alexander Goncharov named the Beebe Professor of Mathematics". YaleNews. 2019-05-28. Retrieved 2019-06-28.
  3. ^ "Special Day 'Journée Gretchen & Barry Mazur'". IHES. 2019-06-25. Retrieved 2019-06-28.
[edit]
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