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Arzhantsev Ivan Vladimirovich

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Total publications: 17
Scientific articles: 14
Presentations: 39

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Arzhantsev Ivan Vladimirovich
Associate professor
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 22.10.1972
Phone: +7(495)772-95-90*12086
E-mail:
Website: http://www.hse.ru/staff/arjanstev
Keywords: algebraic transformation groups, automorphisms of algebraic varieties, geometric invariant theory, algebraic groups, Lie groups and Lie algebras, toric varieties, homogeneous spaces, Cox rings.
UDC: 512.623.22, 512.64, 512.71, 512.711, 512.72, 512.74, 512.745, 512.745.2, 512.76, 512.81, 514.1, 519.11, 519.175
MSC: 13A50, 13P10, 14L24, 14L30, 14M15, 14M17, 14M25, 14R20, 32M10, 32M12

Subject:

algebraic geometry, representation theory,algebraic groups, invariant theory.

Biography

In 1995 Arzhantsev graduated with honors from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University. In 1998 he defended his Ph.D. thesis "On reductive group actions with spherical orbits"; supervisor — Professor E.B. Vinberg. In 2010 he defended his Doctor of Science thesis "Embeddings of homogeneous spaces and Geometric Invariant Theory".

Junior Research Fellow (1999–2004), Teaching Assistant (2004–2005), Associate Professor (2004–2013), Professor (since 2005) at the Department of Higher Algebra, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University. Since September 2013 the head of Yandex Department at the Schoole of Applied Mathematics and Informatics, Higher School of Economics. Since March 2014 the dean of the School of Computer Science, Higher School of Economics.

A Grant of the President of Russian Federation for young candidates of science (2004–2005), a European Academy Prize (2006), a Pierre Deligne Grant (2008–2010), Simons Grants (2011, 2012, 2013), and a Grant of Dynasty Foundation for young doctors of science (2012–2014)

Arzhantsev has authored around 50 research articles and has mentored 10 doctoral students.

   
Main publications:
  1. Ivan Arzhantsev, “On $SL(2)$-actions of complexity one”, Izvestiya Math., 61:4 (1997), 685–698
  2. Ivan Arzhantsev and Dmitri Timashev, “Affine embeddings with a finite number of orbits”, Transformation Groups, 6:2 (2001), 101–110
  3. Ivan Arzhantsev and Juergen Hausen, “On the multiplication map of a multigraded algebra”, Mathematical Research Letters, 14:1 (2007), 129–136
  4. Ivan Arzhantsev, Hubert Flenner, Shulim Kaliman, Frank Kutzschebauch, and Mikhail Zaidenberg, “Flexible varieties and automorphism groups”, Duke Mathematical Journal, 162:4 (2013), 767–823
  5. Ivan Arzhantsev, Alexander Perepechko, and Hendrik Suess, “Infinite transitivity on universal torsors”, Journal of the London Mathematical Society, 89:3 (2014), 762–778

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ISTINA http://istina.msu.ru/workers/467755
http://orcid.org/0000-0003-3161-4868
http://www.researcherid.com/rid/I-7121-2015
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https://www.researchgate.net/profile/Ivan_Arzhantsev
http://arxiv.org/a/arzhantsev_i_1

Publications in Math-Net.Ru
1. The automorphism group of a variety with torus action of complexity one
Ivan Arzhantsev, Jürgen Hausen, Elaine Herppich, Alvaro Liendo
Mosc. Math. J., 14:3 (2014),  429–471
2. Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
I. V. Arzhantsev, M. G. Zaidenberg, K. G. Kuyumzhiyan
Mat. Sb., 203:7 (2012),  3–30
3. Cox rings, semigroups and automorphisms of affine algebraic varieties
I. V. Arzhantsev, S. A. Gaifullin
Mat. Sb., 201:1 (2010),  3–24
4. Projective embeddings of homogeneous spaces with small boundary
I. V. Arzhantsev
Izv. RAN. Ser. Mat., 73:3 (2009),  5–22
5. On the Saturation of Subfields of Invariants of Finite Groups
I. V. Arzhantsev, A. P. Petravchuk
Mat. Zametki, 86:5 (2009),  659–663
6. On the Factoriality of Cox rings
I. V. Arzhantsev
Mat. Zametki, 85:5 (2009),  643–651
7. Classification of affine homogeneous spaces of complexity one
I. V. Arzhantsev, O. V. Chuvashova
Mat. Sb., 195:6 (2004),  3–20
8. On the Stability of Diagonal Actions
I. V. Arzhantsev
Mat. Zametki, 71:6 (2002),  803–806
9. Uniqueness of addition in semisimple Lie algebras
I. V. Arzhantsev
Uspekhi Mat. Nauk, 56:3(339) (2001),  155–156
10. On modality and complexity of affine embeddings
I. V. Arzhantsev
Mat. Sb., 192:8 (2001),  47–52
11. Contractions of affine spherical varieties
I. V. Arzhantsev
Mat. Sb., 190:7 (1999),  3–22
12. On the Normality of the Closures of Spherical Orbits
I. V. Arzhantsev
Funktsional. Anal. i Prilozhen., 31:4 (1997),  66–69
13. On $\operatorname{SL}_2$-actions of complexity one
I. V. Arzhantsev
Izv. RAN. Ser. Mat., 61:4 (1997),  3–18
14. On actions of reductive groups with one-parameter family
I. V. Arzhantsev
Mat. Sb., 188:5 (1997),  3–20

15. Студенческие олимпиады мехмата МГУ 2010–2011 гг.
I. V. Arzhantsev, V. I. Bogachev, A. I. Garber, A. A. Zaslavskii, V. Yu. Protassov, A. B. Skopenkov
Mat. Pros., Ser. 3, 16 (2012),  214–227
16. Студенческие олимпиады мехмата МГУ
I. V. Arzhantsev, V. I. Bogachev, A. A. Zaslavskii, V. Yu. Protassov, A. M. Raigorodskii, A. B. Skopenkov
Mat. Pros., Ser. 3, 14 (2010),  225–234
17. Ernest Borisovich Vinberg
I. V. Arzhantsev, S. M. Gusein-Zade, Yu. S. Ilyashenko, A. L. Onishchik, A. B. Sossinsky, D. A. Timashev, M. A. Tsfasman
Mosc. Math. J., 8:4 (2008),  617–620

Presentations in Math-Net.Ru
1. Torus actions and trinomials
I. Arzhantsev
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 17, 2017 09:30   
2. Аддитивные действия и соответствие Хассетта–Чинкеля. Лекция
I. V. Arzhantsev
XVII Summer School "Contemporary Mathematics", 2017
July 23, 2017 15:30   
3. Бесконечная транзитивность и специальные автоморфизмы
I. V. Arzhantsev
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 31, 2017 15:00
4. Линейные коды. Занятие 4
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2016
July 23, 2016 17:15   
5. Линейные коды. Занятие 3
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2016
July 22, 2016 09:30   
6. Линейные коды. Занятие 2
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2016
July 21, 2016 15:30   
7. Линейные коды. Занятие 1
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2016
July 20, 2016 11:45   
8. Trinomials
I. V. Arzhantsev
Lie groups and invariant theory
April 13, 2016 16:45
9. Additive actions on toric varieties
I. V. Arzhantsev
Lie groups and invariant theory
October 21, 2015 16:45
10. Конечные поля. Лекция
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2015
July 26, 2015 12:45   
11. Бесконечная транзитивность и ее приложения
I. V. Arzhantsev
Discrete and Computational Geometry
March 17, 2015 13:45
12. Дифференцирования в алгебре. Лекция 4
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2014
July 24, 2014 11:15   
13. Дифференцирования в алгебре. Лекция 3
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2014
July 23, 2014 17:00   
14. Дифференцирования в алгебре. Лекция 2
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2014
July 21, 2014 11:15   
15. Дифференцирования в алгебре. Лекция 1
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2014
July 20, 2014 17:00   
16. Infinite transitivity on universal torsors
I. V. Arzhantsev
Lie groups and invariant theory
November 6, 2013 16:45
17. Автоморфизмы аффинного пространства. Лекция 4
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2013
July 24, 2013 09:30   
18. Автоморфизмы аффинного пространства. Лекция 3
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2013
July 23, 2013 11:15   
19. Автоморфизмы аффинного пространства. Лекция 2
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2013
July 22, 2013 17:00   
20. Автоморфизмы аффинного пространства. Лекция 1
I. V. Arzhantsev
Summer School "Contemporary Mathematics", 2013
July 21, 2013 15:30   
21. Cox rings, universal torsors, and infinite transitivity
Ivan Arzhantsev
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 21, 2013 15:00   
22. Cox rings, universal torsors, and infinite transitivity
I. V. Arzhantsev
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 20, 2013 16:45
23. Infinite transitivity on affine varieties
I. V. Arzhantsev
Iskovskikh Seminar
February 7, 2013 18:00
24. Geometric Invariant Theory and Cox rings
I. V. Arzhantsev
Iskovskikh Seminar
October 18, 2012 18:00
25. Automorphisms of algebraic varieties and toric geometry
I. V. Arzhantsev
St. Petersburg Seminar on Representation Theory and Dynamical Systems
March 28, 2012 12:00
26. Локальные алгебры и аддитивные структуры на проективных многообразиях
I. V. Arzhantsev
Meetings of the Moscow Mathematical Society
December 13, 2011 18:30
27. Simply connected curves and automorphism groups of affine toric surfaces (joint work with Mikhail Zaidenberg)
I. V. Arzhantsev
Lie groups and invariant theory
December 7, 2011 16:45
28. Universal torsors over del Pezzo surfaces
I. V. Arzhantsev
Iskovskikh Seminar
November 3, 2011 19:00
29. Torsors over Luna strata
I. V. Arzhantsev
Lie groups and invariant theory
September 28, 2011 16:45
30. The automorphism group of a flexible affine variety is infinitely transitive (joint work with H. Flenner, S. Kaliman, F. Kutzschebauch and M. Zaidenberg)
Ivan Arzhantsev
Seminar of the Department of Algebra
November 30, 2010 15:00
31. Бесконечная транзитивность для групп автоморфизмов аффинных многообразий (совм. работа с М. Г. Зайденбергом и К. Г. Куюмжиян)
I. V. Arzhantsev
Lie groups and invariant theory
March 17, 2010
32. Факториальные действия и категорные факторы (совместная работа с Ю. Хаузеном (J. Hausen) и Д. Целиком (D. Celik))
I. V. Arzhantsev
Lie groups and invariant theory
November 25, 2009
33. Cox rings and algebraic transformation groups
I. V. Arzhantsev
Meetings of the Moscow Mathematical Society
February 19, 2008
34. Несколько результатов к программе Бялыницкого–Бирули (совместная работа с Ю. Хаусеном)
I. V. Arzhantsev
Lie groups and invariant theory
October 31, 2007
35. Вариация факторов, GIT-веера и тотальные координаты (совм. работа с Ю. Хаузеном (J. Hausen)) (продолжение доклада от 22 февраля)
I. V. Arzhantsev
Lie groups and invariant theory
March 15, 2006 16:20
36. Вариация факторов, GIT-веера и тотальные координаты (совм. работа с Ю. Хаузеном (J. Hausen))
I. V. Arzhantsev
Lie groups and invariant theory
February 22, 2006 16:20
37. Вложения с малой границей однородных пространств (совм. работа с Юргеном Хаусеном)
I. V. Arzhantsev
Lie groups and invariant theory
September 21, 2005 16:20
38. Стабильные аффинные модели для действий алгебраических групп (по работе Z. Reichstein and N. Vonessen)
I. V. Arzhantsev
Lie groups and invariant theory
March 16, 2005 16:20
39. Cartan components and decomposable tensors (based on a paper by K. Baur)
I. V. Arzhantsev
Lie groups and invariant theory
April 14, 2004 16:20

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