BIMSA > Peter Koroteev
Assistant Professor Peter Koroteev

Group: Algebraic Geometry

Office: A15-106

Email: pkoroteev@bimsa.cn

Research Field: Mathematical Physics, Algebra, Representation theory

CV

Biography

My education begain in Russia where I learned math and physics at Moscow Insitute of Physics and Technology. I started my research career as a theoretical physicist after obtaining my PhD from University of Minnesota in 2012. At first, my research focus was drawn to various aspects of supersymmetric gauge theories and string theory. However, I have always been drawn to pure abstract mathematics since my student days. Since around 2017 I have been a full time mathematician.

My current research is focused on the interaction between enumerative algebraic geometry, geometric representation theory and integrable systems. In general I work on physical mathematics which nowadays represents a large part of modern math. A significant amount of problems that are studied by mathematicians comes from string/gauge theory. More recently I began to study number theory and how it is connected to other branches of mathematics.

If you are postdoc or a graduate student in Beijing area and you are interested in working with me contact me via email.

Publication

  • [1] Peter Koroteev, Quantum K-theory and integrability, Int.J.Mod.Phys.A, 39(33), 2446010 (2024)
  • [2] Peter Koroteev, Anton M Zeitlin, The Zoo of Opers and Dualities, Int.Math.Res.Not., 2024(8), 6850-6878 (2024)
  • [3] Peter Koroteev, Andrey Smirnov, On the Quantum K-theory of Quiver Varieties at Roots of Unity, Arxiv (2024)
  • [4] Peter Koroteev, Quantum Geometry, Integrability, and Opers, Arxiv (2023)
  • [5] Sergei Gukov, Peter Koroteev, Satoshi Nawata, Du Pei, Ingmar Saberi, Branes and DAHA Representations, SpringerBriefs in Mathematical Physics, 48 (2023)
  • [6] Peter Koroteev, Anton M. Zeitlin, q-opers, QQ-systems, and Bethe Ansatz II: Generalized minors, J.Reine Angew.Math., 2023, 271-296 (2023)
  • [7] Peter Koroteev, Anton M. Zeitlin, 3D Mirror Symmetry for Instanton Moduli Spaces, Commun.Math.Phys., 403(2), 1005-1068 (2023)
  • [8] Peter Koroteev, Anton M. Zeitlin, TOROIDAL q-OPERS, J.Inst.Math.Jussieu, 22(2), 581-642 (2023)
  • [9] Edward Frenkel, Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin, $q$-opers, $QQ$-systems, and Bethe Ansatz, J.Eur.Math.Soc., 26(1), 355-405 (2023)
  • [10] A. Gorsky, P. Koroteev, O. Koroteeva, Sh. Shakirov, Double Inozemtsev limits of the quantum DELL system, Physics Letters B, 826, 136919 (2022)
  • [11] Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin, $({{\,\mathrm{\mathrm {SL}}\,}}(N),q)$-Opers, the $q$-Langlands Correspondence, and Quantum/Classical Duality, Commun.Math.Phys., 381(2), 641-672 (2021)
  • [12] Peter Koroteev, A-type Quiver Varieties and ADHM Moduli Spaces, Commun.Math.Phys., 381(1), 175-207 (2021)
  • [13] Peter Koroteev, Anton M. Zeitlin, qKZ/tRS Duality via Quantum K-Theoretic Counts, Math.Res.Lett., 28(2), 435-470 (2021)
  • [14] Peter Koroteev, Petr P. Pushkar, Andrey V. Smirnov, Anton M. Zeitlin, Quantum K-theory of quiver varieties and many-body systems, Selecta Math., 27(5), 87 (2021)
  • [15] P.Koroteev and Sh.Shakirov, The quantum DELL system, Letters in Mathematical Physics, 110(5), 969-999 (2020)
  • [16] Peter Koroteev, On Quiver W-algebras and Defects from Gauge Origami, Phys.Lett.B, 800, 135101 (2020)
  • [17] Alexander Gorsky, Olesya Koroteeva, Peter Koroteev, Arkady Vainshtein, On dimensional transmutation in 1 + 1D quantum hydrodynamics, J.Math.Phys., 61(8), 082302 (2020)
  • [18] Anindya Dey, Peter Koroteev, Good IR Duals of Bad Quiver Theories, JHEP, 05, 114 (2018)
  • [19] Peter Koroteev, Antonio Sciarappa, Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories, Lett.Math.Phys., 108(1), 45-95 (2018)
  • [20] Anindya Dey, Amihay Hanany, Peter Koroteev, Noppadol Mekareeya, On Three-Dimensional Quiver Gauge Theories of Type B, JHEP, 09, 067 (2017)
  • [21] Peter Koroteev, Mikhail Shifman, Alexei Yung, Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold, Phys.Rev.D, 94(6), 065002 (2016)
  • [22] P. Koroteev, M. Shifman, A. Yung, Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions, Phys.Lett.B, 759, 154-158 (2016)
  • [23] Peter Koroteev, Antonio Sciarappa, On Elliptic Algebras and Large-n Supersymmetric Gauge Theories, J.Math.Phys., 57(11), 112302 (2016)
  • [24] Mathew Bullimore, Hee-Cheol Kim, Peter Koroteev, Defects and Quantum Seiberg-Witten Geometry, JHEP, 05, 095 (2015)
  • [25] Aleksey Cherman, Peter Koroteev, Mithat Ünsal, Resurgence and Holomorphy: From Weak to Strong Coupling, J.Math.Phys., 56(5), 053505 (2015)
  • [26] S Gukov, P Koroteev, S Nawata, D Pei, I Saberi, 3d Theories and Modularity, Branes and DAHA Representations, 57-72 (2023)
  • [27] S Gukov, P Koroteev, S Nawata, D Pei, I Saberi, 4d Theories, Fivebranes, and M-Theory, Branes and DAHA Representations, 73-90 (2023)
  • [28] S Gukov, P Koroteev, S Nawata, D Pei, I Saberi, 2d Sigma-Models and DAHA, Branes and DAHA Representations, 9-56 (2023)
  • [29] E Frenkel, P Koroteev, DS Sage, AM Zeitlin, -opers, -systems, and Bethe Ansatz, J. Eur. Math. Soc., 26, 355-405 (2023)
  • [30] P Koroteev, DS Sage, AM Zeitlin, -Opers, the q-Langlands Correspondence, and Quantum/Classical Duality, Communications in Mathematical Physics, 381, 641-672 (2021)
  • [31] A Gorsky, P Koroteev, O Koroteeva, A Vainshtein, On dimensional transmutation in 1+ 1D quantum hydrodynamics, Journal of Mathematical Physics, 61(8) (2020)
  • [32] P Koroteev, AM Zeitlin, Difference equations for K-theoretic vertex functions of type-A Nakajima varieties, arXiv preprint arXiv:1802.04463 (2018)
  • [33] P Koroteev, How supersymmetry helps to understand hydrodynamics (2016)
  • [34] A Dey, A Hanany, P Koroteev, N Mekareeya, Mirror symmetry in three dimensions via gauged linear quivers, Journal of High Energy Physics, 2014(6), 1-68 (2014)
  • [35] P Koroteev, Revisiting Integrability in N= 2 Gauge Theories, New Methods in Nonperturbative Quantum Field Theory, 28 (2014)
  • [36] D Gaiotto, P Koroteev, On three dimensional quiver gauge theories and integrability, Journal of High Energy Physics, 2013(5), 1-59 (2013)
  • [37] T Gulden, M Janas, P Koroteev, A Kamenev, Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces, Journal of Experimental and Theoretical Physics, 117, 517-537 (2013)
  • [38] HY Chen, PS Hsin, P Koroteev, On the integrability of four dimensional gauge theories in the omega background, Journal of High Energy Physics, 2013(8), 1-37 (2013)
  • [39] K Bulycheva, H Chen, A Gorsky, P Koroteev, BPS states in omega background and integrability, Journal of High Energy Physics, 2012(10), 1-48 (2012)
  • [40] PA Koroteev, On extended supersymmetry in two and four dimensions, University of Minnesota (2012)
  • [41] P Koroteev, On heterotic weighted nonlinear sigma models (2012)
  • [42] L Borsten, I Bredberg, D Cassani, F Dehouck, TT Dumitrescu, J Gaillard et al., Bagrov, AA, 211 Barbon, JLF, 121 Barnard, J., 214 Bern, Z., 2 Bernamonti, A., 94, 216, Nuclear Physics B, 216, 280 (2011)
  • [43] P Koroteev, Causality and Lifshitz holography, Nuclear Physics B Proceedings Supplements, 216(1), 245-246 (2011)
  • [44] P Koroteev, M Shifman, W Vinci, A Yung, Quantum dynamics of low-energy theory on semilocal non-Abelian strings, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 84(6) (2011)
  • [45] P Koroteev, A Monin, Large- solution of the heterotic two-dimensional sigma model, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 81(10), 105001 (2010)
  • [46] P Koroteev, A Monin, W Vinci, Large- solution of the heterotic weighted nonlinear sigma-model, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(12), 125023 (2010)
  • [47] C Hoyos, P Koroteev, Erratum: Null energy condition and causality in Lifshitz holography <?format ?>[Phys. Rev. D 82, 084002 (2010)], Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(10), 109905 (2010)
  • [48] C Hoyos, P Koroteev, Null energy condition and causality in Lifshitz holography, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(8), 084002 (2010)
  • [49] P Koroteev, N Beisert, ML Marshak, Integrable Systems and Quantum Deformations, AIP Conference Proceedings, 31(1), 513 (2009)
  • [50] P Koroteev, M Libanov, Spectra of field fluctuations in braneworld models with broken Lorentz invariance, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 79(4) (2009)
  • [51] P Koroteev, AV Zayakin, Wilson Loops in Gravity Duals of Lifshitz-like Theories, arXiv preprint arXiv:0909.2551 (2009)
  • [52] I Gordeli, P Koroteev, Remarks on holography with broken Lorentz invariance, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 80(12), 126001 (2009)
  • [53] P Koroteev, M Libanov, On existence of self-tuning solutions instatic braneworlds without singularities, Journal of High Energy Physics, 2008(2) (2008)
  • [54] N Beisert, P Koroteev, Quantum deformations of the one-dimensional Hubbard model, Journal of Physics A: Mathematical and Theoretical, 41(25) (2008)
  • [55] PA Koroteev, Lorentz Invariance Violation in Braneworld Models, The Eleventh Marcel Grossmann Meeting: On Recent Developments in Theoretical … (2008)
  • [56] P Koroteev, Morse Theory in Field Theory, Proceedings of the Eighth International Conference on Geometry (2007)
  • [57] P Koroteev, M Libanov, On existence of nonsingular solutions in static braneworlds, 15th International Seminar on High Energy Physics “Quarks-2008” (2001)
  • [58] P Koroteev, The Diamond of Integrability
  • [59] P Koroteev, Opers and Integrability
  • [60] P Koroteev, A Rej, F Spill, Classification of Yangians of Lie Superalgebras and their R-matrices
  • [61] P Koroteev, Braneworlds with Broken Lorentz Invariance

 

Update Time: 2025-05-20 15:34:25