Alexander Goncharov

American mathematician

A gold medal at the 1976 International Mathematical Olympiad marked the early emergence of Alexander Goncharov, a mathematician focused on logic and foundations. Born in 1960, he later established a career in the United States, balancing academic research roles with significant scholarly contributions to arithmetic, geometry, and motivic cohomology.

Academic Trajectory

Goncharov received his education at the MSU Faculty of Mechanics and Mathematics. He completed his doctoral studies in 1987 at Lomonosov Moscow State University under the supervision of Israel Gelfand, defending a thesis titled Generalized conformal structures on manifolds. His professional path eventually brought him to the United States, where he held faculty positions at Brown University before moving to his current tenure at Yale University.

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Positions and Recognition

In 1992, he received the EMS Prize. His visibility within the field grew through his participation as an invited speaker at the 1994 International Congress of Mathematicians, where he presented on polylogarithms in arithmetic and geometry. By 2019, his institutional standing was solidified through his appointment as the Philip Schuyler Beebe Professor of Mathematics at Yale University. Concurrently, he was named the Gretchen and Barry Mazur Chair at the Institut des hautes études scientifiques.

Research and Collaborations

The breadth of his work is reflected in extensive publications regarding cluster ensembles, quantum dilogarithms, and mixed Tate motives. His research often involves collaborative efforts with colleagues such as Vladimir Fock, Richard Kenyon, and Pierre Deligne. Beyond his own publications, he has participated in doctoral training, including advising the student Vesselin Dimitrov.

Fast facts

Questions readers ask

Where did Alexander Goncharov complete his PhD?

He earned his doctorate at Lomonosov Moscow State University in 1987.

With whom did he collaborate on higher Teichmüller theory?

He worked with Vladimir Fock on the moduli spaces of local systems and higher Teichmüller theory.

Achievements

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