**Lecturer**

**Department of Mathematics**

Email: pkoroteev@math.berkeley.edu

Office: Evans 833

University of California, Berkeley

CV

*Last updated:
*

**Research Interests**

Representation theory, integrable systems, algebraic geometry, mathematical aspects of string theory and quantum field theory.

**Teaching **[List of my courses]

In Summer 2020 I teach
MATH 53 Multivariable Calculus

**Selected Publications [Complete list]**

[Arxiv]
[MathSciNet]
[Inspire HEP]
[RG]

Below I list selected publications on several topics in math and physics

**Algebraic Geometry and Representation Theory**

Toroidal q-Opers [2007.11786] Submitted to Annales Henri Poincare

q-Opers, QQ-Systems, and Bethe Ansatz [2002.07344] Submitted to JEMS

(SL(N),q) -opers, the q-Langlands correspondence, and quantum/classical duality [1811.09937] Submitted to Comm.Math.Phys.

A-type Quiver Varieties and ADHM Moduli Spaces [1805.00986] Submitted to Comm.Math.Phys.

qKZ/tRS Duality via Quantum K-Theoretic Counts [1802.04463] Accepted in Math. Res. Lett.

Quantum K-theory of Quiver Varieties and Many-Body Systems [1705.10419] Submitted to Selecta Math.

**Integrable Systems and Supersymmetry**

The Quantum DELL System [1906.10354] Lett. Math. Phys. 110, 969–999 (2020)

On Elliptic Algebras and Large-n Supersymmetric Gauge Theories [1601.08238] J. Math. Phys. 57, no. 11, 112302 (2016)

On Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories [1510.00972
] Lett. Math. Phys. 108, no. 1, 45 (2018)

Defects and Quantum Seiberg-Witten Geometry [1412.6081] JHEP 1505, 095 (2015)

On Three Dimensional Quiver Gauge Theories and Integrability [1304.0779] JHEP 1305, 126 (2013)

BPS States in Omega Background and Integrability [1207.0460] JHEP 1210, 116 (2012)

Quantum Deformations of the One-Dimensional Hubbard Model [0802.0777] J. Phys. A 41, 255204 (2008)

**Three-Dimensional Mirror Symmetry**

Good IR Duals of Bad Quiver Theories [1712.06068] JHEP 1805, 114 (2018)

On Three-Dimensional Quiver Gauge Theories of Type B [1612.00810] JHEP 1709, 067 (2017)

Mirror Symmetry in Three Dimensions via Gauged Linear Quivers [1402.0016] JHEP 1406, 059 (2014)

**Resurgence**

Resurgence and Holomorphy: From Weak to Strong Coupling [1410.0388] J. Math.Phys. 56, no. 5, 053505 (2015)

Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces [1303.6386] J. Exp. Theor. Phys. 117, 517 (2013)

**Nonperturbative Dynamics of QFTs**

Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions [1605.01472] Phys. Lett. B 759, 154 (2016)

Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian Strings [1107.377
9] Phys. Rev. D 84, 065018 (2011)

Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model [1009.6207] Phys. Rev. D 82, 125023 (2010)

**Holographic Applications**

On the Null Energy Condition and Causality in Lifshitz Holography [1007.1428] Phys. Rev. D 82, 084002 (2010)

Spectra of Field Fluctuations in Braneworld Models with Broken Bulk Lorentz Invariance [0901.4347] Phys. Rev. D 79, 045023 (2009)

On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities [0712.1136] JHEP 0802, 104 (2008)

**Recent and Upcoming Conferences and Seminars**

See [Complete list] for slides, notes and videos

Nordita String Seminar, Stockholm, Sweden (over zoom) [notes]

Joint Mathematics Meeting, Denver, CO [slides]

Algebra and Geometry Seminar, California Institute of Technology, Pasadena, CA

Algebra seminar, Virginia Polytechnic, Blacksburg, VA [slides]

AMS Fall 2019 Sectional Meeting, University of California, Riverside [slides]

Geometric Representation Theory and Quantum Field Theories, Tsinghua Sanya International Mathematics Forum, Sanya, China

Representation Theory and Mathematical Physics seminar, UC Berkeley [slides]

Geometry, Physics, and Representation Theory Seminar, Northeastern University, Boston, MA [link] [slides]

Quantum Field Theory seminar, CMSA, Harvard, Cambrdige, MA [link] [slides][video]

Program on Holomorphic Differentials in Mathematics and Physics, MSRI, Berkeley, CA [link]

Program on Quiver varieties and representation theory, Centre de Recherches Mathematiques, Montreal, QC, Canada [link]

Workshop `BPS/CFT Correspondence', Centre International de Rencontres Mathematiques, Marseille, France [link][notes]

Conference on Verlinde Algebra and Grassmannian, Sun Yatsen University, Guangzhou, China [link][slides]

Conference on Higher Symmetries, Aspnen, CO [link][slides]

Geometry seminar, Korean Institute for Advanced Study, Seoul, Korea [slides]

**Lecture courses**

Duluth Winter School 2014 on Supersymmetry and String Theory

**Previous Employment**

University of California, Davis, Department of Mathematics (2016-2018)

Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada (2012-2016)

**Education**

PhD: University of Minnesota (2012) [My PhD Thesis]

During my Minnesota years I mostly worked on physics of gauge theories with extended supersymmetry in various dimensions.

I was a Graduate Fellow at Kavli Institute for Theoretical Physics in Spring 2012.

MS: Moscow Institute of Physics and Technology (2008) [Paper 0901.4347 is based on my master thesis]

BS: Moscow Institute of Physics and Technology (2006) [Paper 0712.1136 is based on my bachelor diploma]

**Other Teaching Activities**

I teach math to school kids at the Berkeley Math Circle

I serve as a mentor at Hermiona Education which helps grade school students with choosing their higher eduation in the US

In Summer 2019 I teach at Sichuan Univeristy, Chengdu, China as a part of Lion education program. Slides of my public lecture on black holes and entanglement.

**Sports**

I enjoy doing endurance sports: biking, running (my last marathon), cross country skiing.

My Strava profile

**Family**

My wife is also a scientist, at the moment she is a graduate student at Physics Department of University of Minnesota. Together we have daughter Anna.

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