Павел Гавриленко / PhD

аспирант / -2018 Тема диссертации: “Изомонодромные деформации и квантовая теория поля” / “Isomonodromic deformations and quantum field theory” Научный руководитель: А.В. Маршаков Профессиональные интересы: математическая физика, интегрируемые системы, конформная теория поля, изомонодромные деформации Образование Бакалавриат (2012) / Киевский национальный университет Магистратура (2014) / Высшая школа экономики, факультет математики

Публикации

13. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster Toda chains and Nekrasov functions”, [ PDF: English, arXiv: 1804.10145 ]
12. P. Gavrylenko, N. Iorgov, O. Lisovyy, “Higher rank isomonodromic deformations and W-algebras”, [ PDF: English, arXiv: 1801.09608 ]
11. M. Cafasso, P. Gavrylenko, O. Lisovyy, “Tau functions as Widom constants”, [ PDF: English, arXiv: 1712.08546 ]
10. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster integrable systems, q-Painleve equations and their quantization”, [ PDF: English, arXiv: 1711.02063 ]
9. P. Gavrylenko, O. Lisovyy, “Pure SU(2) gauge theory partition function and generalized Bessel kernel”, [ PDF: English, arXiv: 1705.01869 ]
8. M. Bershtein, P. Gavrylenko, A. Marshakov, “Twist-field representations of W-algebras, exact conformal blocks and character identities”, [ PDF: English, arXiv: 1705.00957 ]
7. P. Gavrylenko, O. Lisovyy, “Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions”, [PDF: English, arXiv: 1608.00958 ]
6. P. Gavrylenko, A. Marshakov, “Free fermions, W-algebras and isomonodromic deformations”, Theor. Math. Phys. 2016, 187:2, 649–677. [ PDF: English, arXiv: 1605.04554 ]
5. P. Gavrylenko, A. Marshakov, “Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations”, J. High Energ. Phys. (2016) 2016: 181 [ PDF: English, arXiv: 1507.08794 ]
4. P. Gavrylenko, “Isomonodromic tau-functions and W_N conformal blocks”, J. High Energ. Phys. (2015) 167. [ PDF: English, arXiv: 1505.00259 ]
3. P. Gavrylenko, A. Marshakov, Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks, J. High Energ. Phys. (2014) 2014: 097. [ PDF: English, arXiv: 1312.6382 ]
2. P. Gavrylenko, N. Iorgov, O. Lisovyy, Form factors of twist fields in the lattice Dirac theory, J. Phys. A: Math. Theor. 45 (2012) 025402. [ PDF: English, arXiv: 1108.3290 ]
1. P. G. Gavrilenko, L. V. Zadorozhna, “Nonrelativistic Case of Gravitational Lensing by Simple Cosmic String Loops”, Ukr. J. Phys. 2009, Vol. 54, N 3, pp.319-324.

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обновлено – июнь 2018 г.