BIMSA > 彼得·科罗捷耶夫
副研究员 彼得·科罗捷耶夫

团队: 代数几何

办公室: A15-106

邮箱: pkoroteev@bimsa.cn

研究方向: 数学物理, 代数, 表示论

CV

个人简介

我的教育始于俄罗斯，在莫斯科物理技术学院学习数学和物理。移居美国后，我于2012年在明尼苏达大学获得博士学位，开始了理论物理学家的研究生涯。起初，我的研究聚焦于超对称规范理论和弦理论的多个方面。然而，自学生时代起，我一直对纯粹抽象数学充满兴趣。约从2017年起，我成为全职数学家。我当前的研究侧重于枚举代数几何、几何表示论与可积系统之间的互动。总的来说，我致力于物理数学的研究，这在当今代表了现代数学的重要组成部分。许多数学家研究的问题来源于弦理论/规范理论。最近，我开始研究数论及其与数学其他分支的联系。如果你是北京地区的博士后或研究生，并有意与我合作，请通过电子邮件联系我。

出版物

  • [1] Peter Koroteev, Myungbo Shim, and Rahul Singh, q-Opers and Bethe Ansatz for Open Spin Chains I (2025)
  • [2] Peter Koroteev, Andrey Smirnov, On the Quantum K-theory of Quiver Varieties at Roots of Unity, Arxiv (2024)
  • [3] Peter Koroteev, Quantum K-theory and integrability, International Journal of Modern Physics A, 39(33), 2446010 (2024)
  • [4] Peter Koroteev, Anton M Zeitlin, The Zoo of Opers and Dualities, International Mathematics Research Notices, 2024(8), 6850-6878 (2024)
  • [5] Peter Koroteev, Quantum Geometry, Integrability, and Opers, Arxiv (2023)
  • [6] Sergei Gukov, Peter Koroteev, Satoshi Nawata, Du Pei, Ingmar Saberi, Branes and DAHA Representations, SpringerBriefs in Mathematical Physics, 48 (2023)
  • [7] Peter Koroteev, Anton M. Zeitlin, q-opers,QQ-systems, and Bethe Ansatz II: Generalized minors, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 271-296 (2023)
  • [8] Peter Koroteev, Anton M. Zeitlin, 3D Mirror Symmetry for Instanton Moduli Spaces, Communications in Mathematical Physics, 403(2), 1005-1068 (2023)
  • [9] Peter Koroteev, Anton M. Zeitlin, TOROIDAL q-OPERS, Journal of the Institute of Mathematics of Jussieu, 22(2), 581-642 (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, Communications in Mathematical Physics, 381(2), 641-672 (2021)
  • [12] Peter Koroteev, A-type Quiver Varieties and ADHM Moduli Spaces, Communications in Mathematical Physics, 381(1), 175-207 (2021)
  • [13] Peter Koroteev, Anton M. Zeitlin, qKZ/tRS Duality via Quantum K-Theoretic Counts, Mathematical Research Letters, 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 Mathematica New Series, 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, Physics Letters B, 800, 135101 (2020)
  • [17] Alexander Gorsky, Olesya Koroteeva, Peter Koroteev, Arkady Vainshtein, On dimensional transmutation in 1 + 1D quantum hydrodynamics, Journal of Mathematical Physics, 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, Letters in Mathematical Physics, 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] P. Koroteev, M. Shifman, A. Yung, Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions, Physics Letters B, 759, 154-158 (2016)
  • [22] Peter Koroteev, Mikhail Shifman, Alexei Yung, Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold, Physics Review D, 94(6), 065002 (2016)
  • [23] Peter Koroteev, Antonio Sciarappa, On Elliptic Algebras and Large-n Supersymmetric Gauge Theories, Journal of Mathematical Physics, 57(11), 112302 (2016)
  • [24] Aleksey Cherman, Peter Koroteev, Mithat Ünsal, Resurgence and Holomorphy: From Weak to Strong Coupling, Journal of Mathematical Physics, 56(5), 053505 (2015)
  • [25] Mathew Bullimore, Hee-Cheol Kim, Peter Koroteev, Defects and Quantum Seiberg-Witten Geometry, JHEP, 05, 095 (2015)
  • [26] E Frenkel, P Koroteev, DS Sage, AM Zeitlin, $q$-opers,$QQ$-systems, and Bethe Ansatz, Journal of European Mathematical Society, 26, 355-405 (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] S Gukov, P Koroteev, S Nawata, D Pei, I Saberi, 3d Theories and Modularity, Branes and DAHA Representations, 57-72 (2023)
  • [30] P Koroteev, DS Sage, AM Zeitlin, $ ( SL ( N ) , q ) $-Opers, the-Langlands Correspondence, and Quantum/Classical Duality, Communications in Mathematical Physics, 381, 641-672 (2021)
  • [31] A Gorsky, P Koroteev, O Koroteeva, A Vainshtein, On dimensional transmutation in 1+ 1D quantum hydrodynamics, Journal of Mathematical Physics, 61(8) (2020)
  • [32] P Koroteev, AM Zeitlin, Difference equations for K-theoretic vertex functions of type-A Nakajima varieties, arXiv preprint arXiv:1802.04463 (2018)
  • [33] P Koroteev, How supersymmetry helps to understand hydrodynamics (2016)
  • [34] P Koroteev, Revisiting Integrability in N= 2 Gauge Theories, New Methods in Nonperturbative Quantum Field Theory, 28 (2014)
  • [35] A Dey, A Hanany, P Koroteev, N Mekareeya, Mirror symmetry in three dimensions via gauged linear quivers, Journal of High Energy Physics, 2014(6), 1-68 (2014)
  • [36] D Gaiotto, P Koroteev, On three dimensional quiver gauge theories and integrability, Journal of High Energy Physics, 2013(5), 1-59 (2013)
  • [37] HY Chen, PS Hsin, P Koroteev, On the integrability of four dimensional$ \mathcal{N}=2 $gauge theories in the omega background, Journal of High Energy Physics, 2013(8), 1-37 (2013)
  • [38] T Gulden, M Janas, P Koroteev, A Kamenev, Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces, Journal of Experimental and Theoretical Physics, 117, 517-537 (2013)
  • [39] PA Koroteev, On extended supersymmetry in two and four dimensions, University of Minnesota (2012)
  • [40] P Koroteev, On heterotic weighted nonlinear sigma models (2012)
  • [41] K Bulycheva, H Chen, A Gorsky, P Koroteev, BPS states in omega background and integrability, Journal of High Energy Physics, 2012(10), 1-48 (2012)
  • [42] P Koroteev, Causality and Lifshitz holography, Nuclear Physics B Proceedings Supplements, 216(1), 245-246 (2011)
  • [43] L Borsten, I Bredberg, D Cassani, F Dehouck, TT Dumitrescu, J Gaillard et al., Bagrov, AA, 211 Barbon, JLF, 121 Barnard, J., 214 Bern, Z., 2 Bernamonti, A., 94, 216, Nuclear Physics B, 216, 280 (2011)
  • [44] P Koroteev, M Shifman, W Vinci, A Yung, Quantum dynamics of low-energy theory on semilocal non-Abelian strings, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 84(6) (2011)
  • [45] P Koroteev, A Monin, W Vinci, Large-$N$solution of the heterotic weighted nonlinear sigma-model, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(12), 125023 (2010)
  • [46] P Koroteev, A Monin, Large-$N$solution of the heterotic$N=(0,1)$two-dimensional$O(N)$sigma model, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 81(10), 105001 (2010)
  • [47] C Hoyos, P Koroteev, Null energy condition and causality in Lifshitz holography, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(8), 084002 (2010)
  • [48] C Hoyos, P Koroteev, Erratum: Null energy condition and causality in Lifshitz holography <?format ?>[Phys. Rev. D, 084002 (2010)], Physical Review D—Particles, Fields, Gravitation, and Cosmology, 82(10), 109905 (2010)
  • [49] 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)
  • [50] P Koroteev, N Beisert, ML Marshak, Integrable Systems and Quantum Deformations, AIP Conference Proceedings, 31(1), 513 (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] PA Koroteev, Lorentz Invariance Violation in Braneworld Models, The Eleventh Marcel Grossmann Meeting: On Recent Developments in Theoretical … (2008)
  • [55] N Beisert, P Koroteev, Quantum deformations of the one-dimensional Hubbard model, Journal of Physics A: Mathematical and Theoretical, 41(25) (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

 

更新时间: 2026-03-11 09:00:08