Julia sets, invariant laminations, parameter spaces of cubic polynomials, polynomial-like maps, renormalization, invariant trees, polytopes and toric varieties, classical geometric structures
Subject:
geometry and dynamics
Biography
Professor, Faculty of Mathematics, HSE University Moscow. Current status: ``Distinguished Professor'' (2020).
Research Fellow, HSE Laboratory of Algebraic Geometry and its Applications.
Positions previously held:
Dean, Faculty of Mathematics, HSE University (2015-2020),
Vice-president, Independent University of Moscow (2011-2015),
Associate Professor, Faculty of Mathematics, HSE University (2009--2012), Post-Doctoral Fellow at Jacobs University Bremen, Germany (2007--2009), Lecturer (Post-Doctoral Fellow) at the Institute for Mathematical Sciences, State University of New York at Stony Brook (2004--2007)
Visitor, Max-Planck-Institut fuer Mathematik, Bonn (Spring 2010)
Main publications:
Alexander Blokh, Peter Haïssinsky, Lex Oversteegen, Vladlen Timorin, “On critical renormalization of complex polynomials”, Advances in Mathematics, 428 (2023), 109135
T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357
5.
V. Kirichenko, V. Timorin, Kvant, 2025, no. 2, 32–33
6.
V. Kirichenko, V. Timorin, Kvant, 2025, no. 2, 20–28
2024
7.
A. Blokh, L. Oversteegen, V. Timorin, “Upper bounds for the moduli of polynomial-like maps”, Nonlinearity, 37:3 (2024), 035003 , 29 pp., arXiv: 2202.01282
8.
V. A. Timorin, Mat. Pros., 32, MCCME, Moscow, 2024, 21–22
2023
9.
A. Blokh, P. Haïssinsky, L. Oversteegen, V. Timorin, “On critical renormalization of complex polynomials”, Advances in Mathematics, 428 (2023), 109135
10.
A. Blokh, L. Oversteegen, N. Selinger, V. Timorin, S. Vejandla, “Symmetric cubic laminations”, Conformal Geometry and Dynamics of the American Mathematical Society, 27:07 (2023), 264-293
A. Blokh, L. Oversteegen, V. Timorin, “Immediate renormalization of cubic complex polynomials with empty rational lamination”, Moscow Mathematical Journal, 23:4 (2023), 441–461
12.
N. H. Agakhanov, N. N. Andreev, S. N. Askhabov, N. M. Dobrovolsky, A. Domoshnitsky, S. A. Dorichenko, M. V. Zaitsev, I. A. Ivanov-Pogodaev, A. A. Kolchev, S. Malev, I. V. Mitrofanov, A. A. Mikhalev, S. P. Mishchenko, V. G. Navodnov, Yu. V. Nesterenko, A. M. Pesin, F. V. Petrov, S. V. Pchelintsev, A. M. Raigorodsky, Ph. D. Rukhovich, L. M. Samoilov, A. L. Semenov, V. A. Timorin, O. N. Tulupov, M. I. Kharitonov, A. L. Chernyatiev, A. A. Chilikov, V. N. Chubarikov, A. I. Shafarevich, “Alexey Yakovlevich Kanel-Belov”, Chebyshevskii Sb., 24:4 (2023), 380–400
2022
13.
A. Blokh, L. Oversteegen, V. Timorin, “Cutpoints of invariant subcontinua of polynomial Julia sets”, Arnold Mathematical Journal, 8:2 (2022), 271-284
A. Blokh, L. Oversteegen, V. Timorin, “Slices of the parameter space of cubic polynomials”, Transactions of the American Mathematical Society, 375:8 (2022), 5313–5359
I. A. Dynnikov, A. E. Mironov, I. A. Taimanov, V. A. Timorin, A. Yu. Vesnin, “The Conference "Dynamics in Siberia", Novosibirsk, March 1 – 6, 2021”, Sib. elektron. matem. izv., 18:2 (2021), 44–89
17.
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomir, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476
2019
18.
A. Bufetov, A. Glutsyuk, N. Goncharuk, S. Gusein-Zade, Yu. Kudryashov, S. Lando, A. Sosinskii, V. Timorin, M. Tsfasman, “Yuliyu Sergeevichu Ilyashenko — 75”, Mosc. Math. J., 19:2 (2019), 185–188
2012
19.
V. A. Kirichenko, E. Yu. Smirnov, V. A. Timorin, “Schubert calculus and Gelfand–Zetlin polytopes”, Russian Math. Surveys, 67:4 (2012), 685–719
2010
20.
V. A. Timorin, A. G. Khovanskii, Mat. Pros., 14, MCCME, Moscow, 2010, 30–57
V. I. Arnol'd, F. M. Borodich, O. A. Gelfond, Yu. S. Ilyashenko, B. Ya. Kazarnovskii, V. A. Kirichenko, A. B. Sossinski, V. A. Timorin, M. A. Tsfasman, S. Yu. Yakovenko, “Askold Georgievich Khovanskii”, Mosc. Math. J., 7:2 (2007), 169–171
2006
28.
V. A. Timorin, “Diffeomorphisms Taking Lines to Circles, and Quaternionic Hopf Fibrations”, Funct. Anal. Appl., 40:2 (2006), 108–116
2004
29.
V. A. Timorin, “Circles and Clifford Algebras”, Funct. Anal. Appl., 38:1 (2004), 45–51
2001
30.
V. A. Timorin, “On Polytopes that are Simple at the Edges”, Funct. Anal. Appl., 35:3 (2001), 189–198
1999
31.
V. A. Timorin, “An analogue of the Hodge–Riemann relations for simple convex polytopes”, Russian Math. Surveys, 54:2 (1999), 381–426
1998
32.
V. A. Timorin, “The Mixed Hodge–Riemann Bilinear Relations in the Linear Situation”, Funct. Anal. Appl., 32:4 (1998), 268–272
Dual billiards outside of regular polygons: self-similarity A. Ya. Kanel-Belov, Ph. D. Rukhovich, V. A. Timorin, V. Zgursky III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 10, 2023 15:00
Квадратичные отображения V. A. Timorin P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics March 4, 2013 18:30
40.
Геометрия. Лекция 13 A. I. Bufetov, V. A. Timorin A. I. Bufetov and V. A. Timorin course «Geometry», 2012 December 12, 2012
41.
Геометрия. Лекция 12 A. I. Bufetov, V. A. Timorin A. I. Bufetov and V. A. Timorin course «Geometry», 2012 December 5, 2012
42.
Геометрия. Лекция 11 V. A. Timorin Course of A.I. Bufetov and V.A. Timorin "Geometry", 2012 November 28, 2012 17:30
43.
Геометрия. Лекция 11 A. I. Bufetov, V. A. Timorin A. I. Bufetov and V. A. Timorin course «Geometry», 2012 November 28, 2012
44.
Геометрия. Лекция 10 V. A. Timorin Course of A.I. Bufetov and V.A. Timorin "Geometry", 2012 November 14, 2012 17:30
45.
Геометрия. Лекция 10 A. I. Bufetov, V. A. Timorin A. I. Bufetov and V. A. Timorin course «Geometry», 2012 November 14, 2012
46.
Геометрия. Лекция 9 V. A. Timorin Course of A.I. Bufetov and V.A. Timorin "Geometry", 2012 November 7, 2012 17:30
47.
Геометрия. Лекция 9 A. I. Bufetov, V. A. Timorin A. I. Bufetov and V. A. Timorin course «Geometry», 2012 November 7, 2012
48.
The main cuboid V. A. Timorin Dynamical Systems November 2, 2012 18:25