Vasily Pestun Permanent Professor
My research is in the field of mathematical physics, quantum field theory and string theory. I explore nonperturbative methods to solve strongly interacting quantum field theories.
Other publications
V. Pestun, Y. Vlassopoulos 20171027
V. Pestun, J.Terilla, Y. Vlassopoulos 20171104
Invited conference talks

Organizer of
"Localization Techniques in Quantum Field Theories" ,
January 16  February 16, 2018, Stony Brook, USA

Winter School
in Mathematical Physics, Les Diablerets, Switzerland, Jan 7  Jan 12, 2018
Localization in geometry and QFTs 
StringMath 2017, Hamburg, July 24  28
Periodic monopoles and quiver Walgebra 
Math Physics meeting, Amsterdam, March 07, 2017
Quivers and qLanglands 
Edinburgh, UK, workshop "Quantum fields, knots and integrable system", Feb 28, 2017
Quiver gauge theories and integrable systems  DESY theory workshop "Rethinking Quantum Field Theory", Sep 27  30, 2016
Quantum moduli spaces and quantum algebras  String 2016, Beijing, Aug 04, 2016
Moduli spaces, instantons, monopoles and Quantum Algebras  Supersymmetric theories, dualities and deformations conference, Bern, Jul 04  Jul 06, 2016
Quiver Walgebras  Weyl prize lecture on 31 International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro, June 1925, 2016
Algebraic structures on the moduli spaces in gauge theories  Institut Henri Poincare, Number Theory and Physics conference, May 24, 2016
Quiver Walgebras  StringMath 2015, Yau Mathematical Science Center, Dec 31,
2015
Quiver Walgebras  Newton Institute, Cambridge, UK, July 30, 2015
Quantization of integrable systems of periodic monopoles  SCGP, Stony Brook, USA, Nov 11, 2014
Gauge theory and qcharacters  SCGP, Stony Brook, USA, Oct 2, 2014
Supersymmetric localization and equivariant cohomology of quantum field theories  Steklov Institute, Moscow, Russia, Sep 12, 2014
Gauge theories and quantum geometry  CERN, Switzerland, August 18, 2014
Gauge theories, quantum algebras and integrable systems  Perimeter Institute, Canada, Apr 25, 2014
Supersymmetric Quantum Field Theories in Five and Six Dimensions  CFT and Integrability, Seoul, Dec 16, 2013
Quiver gauge theories and quantum groups  Euler Institute, SaintPetersburg, Oct 4, 2013
Integrability, supersymmetry, and conformal field theory  Integrability in Gauge and String Theory, Utrecht, August 22, 2013
From instanton functions to quantum groups  Euler Institute, St. Petersburg, RussiaJuly 13, 2013
Exact results in supersymmetric theories in curved backgrounds  Perimeter Institute, Canada Mar 3, 2013
New Mathematical Structures in Supersymmetric Gauge Theory  SCGP, Stony Brook, NY, Nov 12, 2012
The fourdimensional supersymmetric gauge theories in Omega background and quantum spin chains  Berlin, Germany, Aug 30, 2012
N=2 ADE quiver gauge theories and integrable systems  Zurich, Switzerland, Aug 21, 2012
Integrable systems for 4d N=2 ADE quiver theories from instanton counting  XVII International Congress of Mathematical Physics, Aalborg, Denmark Aug 6, 2012
Instant on partition functions of N=2 quiver gauge theories and integrable systems  Max Planck Institute, Bonn, Germany, July 18, 2012
SeibergWitten curves for N=2 quiver gauge theories  London, UK, May 4, 2012
SeibergWitten geometry of N=2 d=4 superconformal quiver theories from instanton calculus  Osaka, Japan, Apr 3, 2012
Instanton calculus in quiver gauge theories  Munich, Germany, Feb 28, 2012
Instanton calculus in quiver gauge theories  Newton Institute, Cambridge, UK, Jan 13, 2012
Instanton calculus in quiver gauge theories  Princeton, NJ, Nov 11, 2011
Instanton calculus in quiver gauge theories  Nordita Institute, Stockholm, Nov 2011
Localization of the path integrals in supersymmetric QFTs on spaces with isometries  Brussels, Belgium, May 19, 2011
Localization for ’t Hooft loops in 4d N=2 theories  Strings 2011, Stockholm, Sweden, June 29, 2011
Exact results for loop operators in 4d gauge theories  DESY, Germany, Nov 29, 2010
Localization for circular t Hooft operators in N = 2 gauge theory on S4  Langlands type dualities in quantum field theory, KITP, Aug 2010
Review of Omega backgrounds (1, 2) Simons Workshop, Stony Brook, NY, Aug 2010
Supersymmetric ’t Hooft loops in N=4 SYM, localization and instantons in 2d YM  New Mathematical Methods in Quantum Gauge Theories,Aspen Center for
Physics, Jul 2010
Supersymmetric ’t Hooft loops in N=4 SYM, localization and instantons in 2d YM  Perspectives, Open Problems and Applications of Quantum Liouville
Theory, Stony Brook, Mar 29, 2010
Loop operators in N=4 SYM, pure spinors and 2d gauge theory  Workshop on Poisson sigma models, Lie algebroids, deformations and
higher analogues, ESI, Vienna, Sep 2007
An exact localization of nontwisted supersymmetric theories  Generalized Geometry, DESY, Germany, Feb 19, 2007
Topological strings in generalized complex space  Workshop on GromovWitten theory, MSRI, CA, May 2006
Topological strings in generalized complex space  Simons Workshop, Stony Brook, NY, Aug 19, 2005
The generalized Hitchin functionals and the topological Bmodel  Princeton String symposium, Princeton, Apr 8, 2005
The Hitchin functionals and KodairaSpencer gravity at one loop  Quantum strings and fields, Dombay, Russia, Aug 2003
Exact solutions of super YangMills matrix model: arbitrary gauge group  Quantum Particles, Fields and Strings, Baku, Azerbaijan, Sep 2002
The constraint on CachazoIntriligatorVafa prepotential
Invited department talks

Berkeley StringMath seminar, Nov 27, 2017
Periodic Monopoles and qOpers 
ETH Zurich, Nov 9, 2017
Periodic monopoles and qOpers 
ETH Zurich, Nov 7, 2017
Nonsimply laced qdeformed Walgebras from fractional instantons  Simons Center for Geometry and Physics, March 22, 2017
Quiver Walgebras  University of UrbanaChampaign, IL, March 16, 2017
Quivers, Monopoles and qgeometric Langlandss  University of Heidelberg, Germany, Jan 19, 2017
Gauge theories, moduli spaces and quantum algebras  University Paris VII Math Department Seminar, Oct 14, 2016
Instantons, monopoles, quivers and Walgebras  ETH Zurich Mathematical Physics Seminar, Apr 28, 2016
Quiver Walgebras  The University of Angers Colloquium, Apr 01, 2016
Localization in gauge theories  Simons Center for Geometry and Physics Seminar, Mar 03, 2016
Geometric and algebraic structures in gauge theories  Columbia University, Math Dept Seminar, Feb 22, 2016
Quiver Walgebras  University of Kentucky, Phys Dept Seminar, Feb 15, 2016
Quiver Walgebras  University of Cambridge, HEPGR Colloquium, Nov 18, 2015
Localization, supersymmetry, and integrability  University of Montpellier, France, Nov 12, 2015
Quantum algebras in gauge theories  Yale University, Oct 9, 2015
Quiver sheaves and Walgebras  University Tor Vergata, Rome, Italy, Jan 16, 2015
Quantum integrability in supersymmetric gauge theories  Institute of Physics, Universiteit van Amsterdam, Oct 20, 2014
Gauge theories and quantum groups  University of Michigan, USA, Feb 5, 2014
Quantum geometry and quiver gauge theories  KIAS, Seoul, Dec 16, 2013
Quiver gauge theories and quantum integrable systems  Mitchel Institute, Texas AM, Apr 16, 2013
ADE quiver theories and quantum integrable systems  Perimeter Institute Mar 6, 2013
Nonperturbative problems in gauge theories: N = 2 quiver QCD  Harvard University, Feb 27, 2013
Nonperturbative problems in gauge theories: N=2 quiver QCD  Cornell University, Feb 8, 2013
Nonperturbative problems in gauge theories: N=2 quiver QCD  University of California, Berkeley, Feb 5, 2013
Hidden symmetries of the vacua in supersymmetric gauge theories  Chicago University Jan 23, 2013
Quantum symmetries of vacua in supersymmetric gauge theories  Northwestern University, Jan 22, 2013
Moduli spaces of instantons and quantum groups  Rutgers University, NJ, Nov 13, 2012
The N=2 quiver gauge theories and ADE spinchains  Uppsala, Sweden, Oct 3, 2012
McKay correspondence and the partition functions of 4d N=2 gauge theories  SCGP, Stony Brook, NY, Sep 27, 2012
Supersymmetric Fourdimensional Quiver Gauge Theories and Quantum ADE Spin Chains  Berkeley, CA, Feb 21, 2012
Instanton calculus in quiver gauge theories  Caltech, CA Feb 15, 2012
Instanton calculus in quiver gauge theories  Northeastern University, MA Oct 13, 2010
From topological quiver gauge theories to spectral curves of integrable systems  IHES, Paris, June 3, 2010
Superymmetric loop operators in gauge theories and localization  LPTHE, Paris, June 1, 2010
Loop operators in N=4 SYM, pure spinors and 2d gauge theory  ITFA, Amsterdam, May 31, 2010
Loop operators in N=4 SYM, pure spinors and 2d gauge theory  ULB, Brussels, Apr 22, 2009
Conformally supersymmetric Wilson loops in N=4 super YangMills  McGill University, Montreal, Jan 27, 200
Superconformal Wilson loop operators and exact computations in the N=4 super YangMills  Nordita Institute, Sweden, Nov 20, 2008
Exact results for Wilson loop operators in super symmetric gauge theories  Stony Brook, NY, Sep 10, 2008
Supersymmetric Wilson loops in fourdimensional gauge theories and localization  Perimeter Institute, Canada Apr 29, 2008 Exact results for supersymmetric Wilson loops in fourdimensional N = 2 and N = 4 super YangMills theory
 Rutgers University, NJ, Jan 22, 2008
Localization of gauge theory: exact results for circular supersymmetric Wilson loop operators  Institute for Advanced Study Oct 5, 2007
Localization of Supersymmetric Gauge Theories and Circular Wilson Loop Operator  University of Uppsala, Sweden, Feb 26, 2007
Topological strings in generalized complex space  Northwestern University, IL, Nov 2, 2006
Topological strings in generalized CalabiYau manifolds  University of Chicago, IL, Apr 5, 2006
Topological strings in generalized complex space  Rutgers University, NJ Jan 17, 2006
Generalized complex structures, Lie bialgebroids and topological strings  IHES, Paris May 22, 2005
Quantization of Hitchin functionals and KodairaSpencer gravity  Harvard University Apr 30, 2005
Hitchin functional and the topological Bmodel at one loop  University of Madison, WI Apr 19, 2005
The Hitchin functionals and the topological Bmodel at one loop  University of Uppsala, Sweden, Oct 2002
The partition function of super YangMills matrix model for any gauge group
Lectures
 Les Houches Physics Summer School, Jun 29  Jul 01, 2016
3 lectures "Localization in N=2 supersymmetric field theories"  Institut Henri Poincare, StringMath trimester course, 3 lectures, May 2  May 6, 2016
Localization in gauge theory  HSE Winter school on integrable systems and representation theory, Moscow, Jan 29  Feb 03, 2016
5 lectures on "Supersymmetric localization"  Theoretical Problems of Physics of Fundamental Interactions, St. Petersburg, Jul 2728, 2015 Lectures on supersymmetric localization, 4.5 hours
 IHES, France Oct 728, 2014 Quantum gauge theories and integrable systems, 8 hours
 Arnold Sommerfeld Center, Munich, Germany, August 1122, 2014 Quantum integrable systems and gauge theories, 4 hours
 Northwestern University, USA, May 1223, 2014 Quantum groups and quantum field theory, 4 hours
 Geometry of Strings and Fields, Galileo Institute, Italy, Sep 2, 2013 Localization of supersymmetric QFT on curved background, 6 hours
Mathematics in Paris
 Instíitut de Mathématíques de JussíeuParis Rive Gauche IMJPRG
IMJPRG Seminars
Physics in Paris
 String
theory in greater
Paris: Portal
SEMPARIS  IHÉS seminars
 CEASaclay Institut de Physique Théorique
IPHT
IPHT seminars
Employment
Education
 2008 Ph.D. in Physics, Princeton University
 Thesis: Wilson loops in supersymmetric gauge theories
 Advisor: Edward Witten, IAS
 2003 B.S. & M.S. in Physics ( summa cum laude ) MIPT, Moscow
Awards
 2016 Hermann Weyl Prize
 20082011 Junior Fellow, Harvard Society of Fellows
 20072008 Porter Ogden Jacobus Fellowship, Princeton University
 20032008 Centennial Fellowship, Princeton University
 2003 Joseph Henry Merit Prize, Princeton University
 2003 Pomeranchuk Fellowship, ITEP
 2000 Academic Council Fellowship, MIPT
 1997 Russian Federation President Fellowship
 1998 ISSEP Soros Fellowship
 1997 Gold Medal, 28th International Physics Olympiad
Teaching Experience
 Teaching Assistant at Princeton University 20042007
 PHY 305 Advanced Quantum Mechanics II
 PHY 106 Advanced Electromagnetism
 PHY 105 Advance Mechanics
 PHY 406 Nuclear and Elementary Particle Physics
 PHY 510 Relativistic Quantum Field Theory II (graduate)
 PHY 523 General Relativity (graduate)
 20012003 ITEPITP School on Quantum Fields and Strings, Kiev
 2003 ITEP Winter School, Moscow
 1998 & 1999 International Physics Olympiad Russian team coach
 19982000 Board of the National Russian Physics Olympiad
 19981999 Board of the International Physics Soros Olympiad
Professional service
Editor
 Letters in Mathematical Physics
Referee for
 ZBMath
 Communications in Mathematical Physics
 Letters in Mathematical Physics
 Journal of High Energy Physics
 AMS Mathematical Reviews
 Physical Review D
ERC QUASIFT
Quantum Field Theory is a universal framework to address quantum physical systems with infinitely many interacting degrees of freedom, applicable both at the level of fundamental interactions, such as the subnuclear physics of quarks and gluons and at the phenomenological level such as the physics of quantum fluids and superconductivity. Traditionally, weakly interacting quantum field theory is formulated as a perturbative deformation of the linear theory of freely propagating quantum waves or particles with interactions described by Feynman diagrams. For strongly nonlinear quantum field theories the method of Feynman diagrams is not adequate. The main goal of this proposal is to develop novel tools and techniques to address strongly nonlinear quantum field theories. To achieve this goal we will search for hidden algebraic structures in quantum field theories that will lead to efficient algorithms to compute physical observables of interest. In particular we identify nonlinear quantum field theories with exactly solvable sectors of physical observables. In this project we will focus on three objectives:  build general theory of localization in supersymmetric YangMills theory for arbitrary geometrical backgrounds  find all realizations of symplectic and supersymplectic completely integrable systems in gauge theories  construct finite supersymmetric YangMills theory in terms of the algebra of locally supersymmetric loop observables for maximally supersymmetric gauge theory The realization of the above objectives will uncover hidden quantum algebraic structures and consequently will bring groundbreaking results in our knowledge of quantum field theories and the fundamental interactions.
From minimal gravity to open intersection theory (2019)
, https://arxiv.org/abs/1904.06885; Indexed Apr 15, 2019 
Chiral algebras from \Omegadeformation (2019) , https://arxiv.org/abs/1903.11123; Indexed Mar 26, 2019 
Multiplicative Hitchin Systems and Supersymmetric Gauge Theory (2018) , https://arxiv.org/abs/1812.05516; Indexed Dec 13, 2018 
Towards a full solution of the large N doublescaled SYK model (2018) , https://arxiv.org/abs/1811.02584; Indexed Nov 6, 2018 
A family of GL(r) multiplicative Higgs bundles on rational base (2018) , https://arxiv.org/abs/1808.00799; Indexed Aug 2, 2018 
Weighted Hurwitz numbers and topological recursion (2018) , by the ERC Starting Grant no. 335739, Quantum ... https://arxiv.org/abs/1806.09738; Indexed Jun 26, 2018 
Topological twists of supersymmetric algebras of observables (2018) , https://arxiv.org/abs/1805.10806; Indexed May 28, 2018 
Atype Quiver Varieties and ADHM Moduli Spaces (2018) , https://arxiv.org/abs/1805.00986; Indexed May 2, 2018 
qKZ/tRS Duality via Quantum KTheoretic Counts (2018) , https://arxiv.org/abs/1802.04463; Indexed Feb 13, 2018 
Good IR Duals of Bad Quiver Theories (2017) , https://arxiv.org/abs/1712.06068; Indexed Dec 17, 2017 
Bands and gaps in Nekrasov partition function (2017) , https://arxiv.org/abs/1712.02936; Indexed Dec 8, 2017 
The holomorphic bosonic string (2017) , https://arxiv.org/abs/1711.05823; Indexed Nov 15, 2017 
Language as a matrix product state (2017) , https://arxiv.org/abs/1711.01416; Indexed Nov 4, 2017 
Tensor network language model (2017) , https://arxiv.org/abs/1710.10248; Indexed Oct 27, 2017 
A Physical Origin for Singular Support Conditions in Geometric Langlands
Theory (2017) , https://arxiv.org/abs/1707.01292; Indexed Jul 5, 2017 
Fractional quiver Walgebras (2017) , https://arxiv.org/abs/1705.04410; Indexed May 12, 2017 
Quivers, Line Defects and Framed BPS Invariants (2017) , https://arxiv.org/abs/1703.06449; Indexed Mar 19, 2017 
Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and
Framed BPS States  I (2017) , https://arxiv.org/abs/1703.04786; Indexed Mar 14, 2017 
Asymptotic Freedom in the BV Formalism (2017) , https://arxiv.org/abs/1702.05973; Indexed Feb 20, 2017 
Weighted Hurwitz numbers and topological recursion: an overview (2016) , https://arxiv.org/abs/1610.09408; Indexed Oct 28, 2016 
Quiver elliptic Walgebras (2016) , https://arxiv.org/abs/1608.04651; Indexed Aug 16, 2016 
Review of localization in geometry (2016) , https://arxiv.org/abs/1608.02954; Indexed Aug 9, 2016 
Introduction to localization in quantum field theory (2016) , https://arxiv.org/abs/1608.02953; Indexed Aug 9, 2016 
Quiver Walgebras (2015) , https://arxiv.org/abs/1512.08533; Indexed Dec 28, 2015 
Threeterm recurrence relations of minimal affinizations of type $G_2$ (2014) , https://arxiv.org/abs/1412.3884; Indexed Dec 12, 2014 