summerschoolmathph19

| OVERVIEW | PROGRAM | TITLES and ABSTRACTS | PARTICIPANTS |



The Summer School is organized by the
Skolkovo Institute of Science and Technology

Location:
The talks will be at Skoltech

Over the last few decades development of modern physics has required ideas and tolls of a wide range of cutting-edge mathematical domains including topology, algebraic geometry, representation theory, symplectic geometry, category theory, integrable systems.
Nowadays Mathematical Physics is a melting pot where new methods and ideas beneficial for both mathematics and physics are created.
The program and the format of the school reflects that unique character of the Mathematical Physics.

The mini-courses of
Roman Bezrukavnikov (MIT)
Alexander Braverman (Perimeter Institute, University of Toronto, Skoltech)
Pavel Etingof (MIT)
Nikita Nekrasov (Simons Center for Geometry and Physics, Skoltech)
Andrei Okounkov (Columbia University, HSE University, Skoltech)

will be supported by seminars and discussion sessions.


Lecturers

bezrukavnikov3 Roman Bezrukavnikov is an American and Russian mathematician. He is a mathematics professor at the Massachusetts Institute of Technology.
He received the M.A. from Brandeis in 1994, and the Ph.D. from Tel Aviv University in 1998, under the direction of Joseph Bernstein. Subsequently, he was appointed L.E. Dickson Instructor at the University of Chicago, and joined the faculty at Northwestern University in 2002. A long-term Clay Mathematics Prize fellow and Sloan fellow, Professor Bezrukavikov concentrates on problems in geometric representation theory and in algebraic geometry. In 2014, he was awarded a Simons Fellowship in Mathematics / web-page

Alexander Braverman earned in 1993 a BA degree in mathematics from the University of Tel Aviv, where in 1998 he received a Ph.D. under supervision of Joseph Bernstein. From 1997 to 1999 he was a C.L.E. Moore instructor at Massachusetts Institute of Technology and in 2004 Benjamin Peirce Lecturer at Harvard University. He was an associate professor at Brown University from 2004 to 2009 and then a full professor from 2009 to 2015. He is a full professor at University of Toronto since 2015 and an associate faculty member at Perimeter Institute for Theoretical Physics. He is a visiting professor at Skoltech since 2017.
Braverman specializes in the geometric Langlands program, the intersection of number theory, algebraic geometry and representation theory, which also has applications to mathematical physics / web-page

Pavel Etingof is an American mathematician of Russian-Ukrainian origin.
Pavel Etingof received the M.S. in applied mathematics from the Moscow Oil & Gas Institute in 1989, and the Ph.D. in mathematics from Yale University in 1994. Igor Frenkel was his thesis advisor. He went to Harvard as a Benjamin Peirce Assistant Professor in 1994, and joined the MIT mathematics faculty as assistant professor in 1998 (professor in 2005). Professor Etingof’s research interests are primarily in studies which intersect representation theory and mathematical physics, such as quantum groups. He served as Chair of the Graduate Student Committee from 2002-05. In 1999 Etingof received a Clay Mathematics Institute Prize fellowship. In 2012 he was selected to be the Robert E. Collins Distinguished Scholar in the Mathematics Department. In 2015 he was selected by the Institute for the Frank E. Perkins Award for excellence in graduate advising. In 2016 he was elected Fellow of the American Academy of Arts and Sciences / web-page
Nikita Nekrasov is a mathematical physicist and string theorist at Stony Brook University in New York, and a Professor of the Russian Academy of Sciences.
Nekrasov graduated with honors from the Moscow Institute of Physics and Technology in 1995, and joined the theory division of the Institute for Theoretical and Experimental Physics. In parallel, in 1994–1996 Nekrasov did his graduate work at Princeton University, under the supervision of David Gross. His Ph.D. thesis was defended in 1996.
He was selected to become a Junior fellow at the Harvard Society of Fellows at Harvard University from 1996–1999, then a Robert. H. Dicke Fellow at Princeton University from 1999 to 2000. In 2000 he became a permanent professor at the Institut des Hautes Études Scientifiques. During 2010 he was a visitor at the C. N. Yang Institute for Theoretical Physics and Simons Center for Geometry and Physics at Stony Brook University. In 2013, Nekrasov moved to the Simons Center for Geometry and Physics as a full professor. He is a visiting professor at Skoltech since 2018.
Nekrasov is mostly known for his work on supersymmetric gauge theory and string theory / web-page

Andrei Okounkov is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions. He is currently a professor at Columbia University, the academic supervisor of HSE International Laboratory of Representation Theory and Mathematical Physics, and a professor at Skoltech.
In 2006, he received the Fields Medal “for his contributions to bridging probability, representation theory and algebraic geometry.”
He received his doctorate at Moscow State University in 1995 under Alexandre Kirillov and Grigori Olshanski. He has been a professor at Columbia University since 2010. He was previously a professor at Princeton University from 2002 to 2010, an assistant and associate professor at the University of California, Berkeley, and an instructor at the University of Chicago / web-page

Application

To apply for Skoltech Summer School on Mathematical Physics 2019, please complete the online application form before February 15, 2019.

Participation in this event is moderated.
The organizers will have to approve your application.
Some funds are available towards lodging and travel expenses.

International participants should start visa application to Russia as soon as possible after the notification is received.

Contacts: