commuting differential operators,
quantum integrable systems,
moduli space of coherent sheaves,
division algebras,
valuation theory,
Brauer groups,
dynamical systems,
Krichever correspondence,
higher local fields,
adeles.
Biography
Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1996 (department of higher algebra ). Ph.D. thesis was defended in 2002. A for more information see
http://dfgm.math.msu.su/people/zheglov/
J. Guo, A. Zheglov, “On Some Questions around Berest's Conjecture”, Math. Notes, 116:2 (2024), 238–251
2023
2.
Alexander B. Zheglov, “The Schur–Sato Theory for Quasi-elliptic Rings”, Trudy Mat. Inst. Steklova, 320 (2023), 128–176; Proc. Steklov Inst. Math., 320 (2023), 115–160
A. B. Zheglov, D. V. Osipov, “Lax pairs for linear Hamiltonian systems”, Sibirsk. Mat. Zh., 60:4 (2019), 760–776; Siberian Math. J., 60:4 (2019), 592–604
A. B. Zheglov, D. V. Osipov, “On first integrals of linear Hamiltonian systems”, Dokl. Akad. Nauk, 483:5 (2018), 482–484; Dokl. Math., 98:3 (2018), 616–618
A. B. Zheglov, A. E. Mironov, B. T. Saparbayeva, “Commuting Krichever–Novikov differential operators with polynomial coefficients”, Sibirsk. Mat. Zh., 57:5 (2016), 1048–1053; Siberian Math. J., 57:5 (2016), 819–823
A. B. Zheglov, H. Kurke, “Geometric properties of commutative subalgebras of partial differential operators”, Mat. Sb., 206:5 (2015), 61–106; Sb. Math., 206:5 (2015), 676–717
H. Kurke, D. Osipov, A. Zheglov, “Commuting differential operators and higher-dimensional algebraic varieties”, Selecta Math. (N.S.), 20:4 (2014), 1159–1195
A. B. Zheglov, “On rings of commuting partial differential operators”, Algebra i Analiz, 25:5 (2013), 86–145; St. Petersburg Math. J., 25:5 (2014), 775–814
A. B. Zheglov, A. E. Mironov, “Baker – Akhiezer modules, Krichever sheaves, and commuting rings of partial differential operators”, Dal'nevost. Mat. Zh., 12:1 (2012), 20–34
A. B. Zheglov, D. V. Osipov, “On Some Questions Related to the Krichever Correspondence”, Mat. Zametki, 81:4 (2007), 528–539; Math. Notes, 81:4 (2007), 467–476
A. B. Zheglov, “On the classification of two-dimensional local skew fields. II”, Uspekhi Mat. Nauk, 55:6(336) (2000), 135–136; Russian Math. Surveys, 55:6 (2000), 1170–1171
1999
15.
A. B. Zheglov, “On the classification of two-dimensional local skew fields”, Uspekhi Mat. Nauk, 54:4(328) (1999), 169–170; Russian Math. Surveys, 54:4 (1999), 858–859
F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Uspekhi Mat. Nauk, 78:3(471) (2023), 165–169; Russian Math. Surveys, 78:3 (2023), 549–554
2022
17.
S. O. Gorchinskiy, N. M. Dobrovol'skii, A. B. Zheglov, D. V. Osipov, “In memory of Alexey Nikolaevich Parshin”, Chebyshevskii Sb., 23:3 (2022), 306–307
F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Uspekhi Mat. Nauk, 77:3(465) (2022), 179–181; Russian Math. Surveys, 77:3 (2022), 555–557
2013
19.
S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Uspekhi Mat. Nauk, 68:1(409) (2013), 201–207; Russian Math. Surveys, 68:1 (2013), 189–197
Двумерные аналоги теории Сато и иерархии КП A. B. Zheglov Differential operators on singular spaces, algebraically integrable
systems and quantization September 24, 2018 18:35
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