Persons: Arzhantsev, Ivan

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Arzhantsev, Ivan

Statistics Math-Net.Ru
Total publications:	26
Scientific articles:	22
Presentations:	69

Number of views:
This page:	7489
Abstract pages:	11853
Full texts:	4374
References:	1102

Professor

Doctor of physico-mathematical sciences (2010)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Birth date:

22.10.1972

E-mail:

Website:

https://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), a Grant of Dynasty Foundation for young doctors of science (2012–2014), a Grant of Basis Foundation for leading researchers in fundamental mathematcis (2018–2020).

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

Main publications:

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

https://www.mathnet.ru/eng/person8514

https://ru.wikipedia.org/wiki/Arzhantsev,_Ivan_Vladimirovich

https://scholar.google.com/citations?user=qk9qRhwAAAAJ&hl=en

https://zbmath.org/authors/ai:arzhantsev.ivan-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/359575

https://elibrary.ru/author_items.asp?authorid=107235

ISTINA

https://istina.msu.ru/workers/467755

https://orcid.org/0000-0003-3161-4868

https://www.webofscience.com/wos/author/record/I-7121-2015

https://www.scopus.com/authid/detail.url?authorId=6603456308

https://www.researchgate.net/profile/Ivan_Arzhantsev

https://arxiv.org/a/arzhantsev_i_1

	Publications in Math-Net.Ru	Citations
	2022
1.	I. Arzhantsev, “Automorphisms of algebraic varieties and infinite transitivity”, Algebra i Analiz, 34:2 (2022), 1–55 ; St. Petersburg Math. J., 34:2 (2023), 143–178	2
2.	I. V. Arzhantsev, Yu. I. Zaitseva, “Equivariant completions of affine spaces”, Uspekhi Mat. Nauk, 77:4(466) (2022), 3–90 ; Russian Math. Surveys, 77:4 (2022), 571–650	4
3.	Ivan V. Arzhantsev, Yulia I. Zaitseva, Kirill V. Shakhmatov, “Homogeneous Algebraic Varieties and Transitivity Degree”, Trudy Mat. Inst. Steklova, 318 (2022), 17–30 ; Proc. Steklov Inst. Math., 318 (2022), 13–25	2
	2014
4.	Ivan Arzhantsev, Jürgen Hausen, Elaine Herppich, Alvaro Liendo, “The automorphism group of a variety with torus action of complexity one”, Mosc. Math. J., 14:3 (2014), 429–471	20
	2012
5.	Ivan Arzhantsev, M. G. Zaidenberg, K. G. Kuyumzhiyan, “Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity”, Mat. Sb., 203:7 (2012), 3–30 ; Sb. Math., 203:7 (2012), 923–949	53
	2010
6.	I. V. Arzhantsev, S. A. Gaifullin, “Cox rings, semigroups and automorphisms of affine algebraic varieties”, Mat. Sb., 201:1 (2010), 3–24 ; Sb. Math., 201:1 (2010), 1–21	25
	2009
7.	I. V. Arzhantsev, “Projective embeddings of homogeneous spaces with small boundary”, Izv. RAN. Ser. Mat., 73:3 (2009), 5–22 ; Izv. Math., 73:3 (2009), 437–453	1
8.	I. V. Arzhantsev, A. P. Petravchuk, “On the Saturation of Subfields of Invariants of Finite Groups”, Mat. Zametki, 86:5 (2009), 659–663 ; Math. Notes, 86:5 (2009), 625–628
9.	I. V. Arzhantsev, “On the Factoriality of Cox rings”, Mat. Zametki, 85:5 (2009), 643–651 ; Math. Notes, 85:5 (2009), 623–629	12
	2004
10.	I. V. Arzhantsev, O. V. Chuvashova, “Classification of affine homogeneous spaces of complexity one”, Mat. Sb., 195:6 (2004), 3–20 ; Sb. Math., 195:6 (2004), 765–782	5
	2002
11.	I. V. Arzhantsev, “On the Stability of Diagonal Actions”, Mat. Zametki, 71:6 (2002), 803–806 ; Math. Notes, 71:6 (2002), 735–738	1
	2001
12.	I. V. Arzhantsev, “Uniqueness of addition in semisimple Lie algebras”, Uspekhi Mat. Nauk, 56:3(339) (2001), 155–156 ; Russian Math. Surveys, 56:3 (2001), 569–571	7
13.	I. V. Arzhantsev, “On modality and complexity of affine embeddings”, Mat. Sb., 192:8 (2001), 47–52 ; Sb. Math., 192:8 (2001), 1133–1138	4
14.	I. V. Arzhantsev, A. V. Titov, “Uniqueness of addition in Lie algebras. I”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 2, 59–62
	2000
15.	I. V. Arzhantsev, “Uniqueness of addition in the Lie algebra $sl_2$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 4, 49–51
	1999
16.	I. V. Arzhantsev, “Contractions of affine spherical varieties”, Mat. Sb., 190:7 (1999), 3–22 ; Sb. Math., 190:7 (1999), 937–954	1
	1997
17.	I. V. Arzhantsev, “On the Normality of the Closures of Spherical Orbits”, Funktsional. Anal. i Prilozhen., 31:4 (1997), 66–69 ; Funct. Anal. Appl., 31:4 (1997), 278–280	2
18.	I. V. Arzhantsev, “On $\operatorname{SL}_2$-actions of complexity one”, Izv. RAN. Ser. Mat., 61:4 (1997), 3–18 ; Izv. Math., 61:4 (1997), 685–698	11
19.	I. V. Arzhantsev, “On actions of reductive groups with one-parameter family”, Mat. Sb., 188:5 (1997), 3–20 ; Sb. Math., 188:5 (1997), 639–655	8
	1994
20.	I. V. Arzhantsev, “Algebraic curves and Hilbert's fourteenth problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 4, 18–23

	2018
21.	I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545
	2012
22.	I. V. Arzhantsev, V. I. Bogachev, A. I. Garber, A. A. Zaslavskii, V. Yu. Protassov, A. B. Skopenkov, “Студенческие олимпиады мехмата МГУ 2010–2011 гг.”, Mat. Pros., Ser. 3, 16 (2012), 214–227
	2010
23.	I. V. Arzhantsev, V. I. Bogachev, A. A. Zaslavskii, V. Yu. Protassov, A. M. Raigorodskii, A. B. Skopenkov, “Студенческие олимпиады мехмата МГУ”, Mat. Pros., Ser. 3, 14 (2010), 225–234
	2008
24.	I. V. Arzhantsev, S. M. Gusein-Zade, Yu. S. Ilyashenko, A. L. Onishchik, A. B. Sossinsky, D. A. Timashev, M. A. Tsfasman, “Ernest Borisovich Vinberg”, Mosc. Math. J., 8:4 (2008), 617–620

Presentations in Math-Net.Ru

1.	Действия групп. Семинар 4 I. Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 24, 2024 09:30
2.	Действия групп. Семинар 3 I. Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 23, 2024 09:30
3.	Действия групп. Семинар 2 I. Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 21, 2024 15:30
4.	Действия групп. Семинар 1 I. Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 20, 2024 15:30
5.	Coverings of algebraic varieties and additive actions Ivan Arzhantsev Conference “Birational geometry and Fano varieties” dedicated to Yu.G. Prokhorov 60th anniversary March 14, 2024 12:30
6.	Equivariant completions of affine space I. Arzhantsev Beijing–Moscow Mathematics Colloquium December 1, 2023 12:00
7.	Гибкие многообразия, образы аффинного пространства и эллиптичность по Громову Ivan Arzhantsev September 19, 2023 14:30
8.	Образы аффинного пространства I. Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023 July 20, 2023 17:15
9.	Корни Демазюра и их обобщения I. Arzhantsev Shafarevich Seminar March 7, 2023 15:00
10.	Лучезарные торические многообразия I Ivan Arzhantsev The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory February 2, 2023 14:40
11.	Images of affine space I. Arzhantsev Mathematical seminar Faculty of Computer Science HSE January 20, 2023 18:10
12.	Лучезарные торические многообразия и действия унипотентных групп Ivan Arzhantsev November 7, 2022 15:00
13.	Проблема линеаризации - II I. Arzhantsev Seminar of the Laboratory on Algebraic Transformation Groups HSE University October 19, 2022 18:00
14.	Проблема линеаризации - I I. Arzhantsev Seminar of the Laboratory on Algebraic Transformation Groups HSE University October 12, 2022 18:00
15.	Градуировки на алгебре многочленов и сюръективность умножения. Лекция Ivan Arzhantsev Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 28, 2022 17:15
16.	Gorenstein local algebras and additive actions on projective hypersurfaces I. V. Arzhantsev International Conference "Advances in Algebra and Applications" June 24, 2022 14:30
17.	Transitivity degree of an algebraic variety I. Arzhantsev Lie groups and invariant theory March 23, 2022 17:00
18.	Бесконечная транзитивность. Семинар 4 И. В. Аржанцев Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 28, 2021 15:30
19.	Бесконечная транзитивность. Семинар 3 И. В. Аржанцев Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 27, 2021 11:15
20.	Бесконечная транзитивность. Семинар 2 И. В. Аржанцев Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 25, 2021 15:30
21.	Бесконечная транзитивность. Семинар 1 И. В. Аржанцев Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 24, 2021 15:30
22.	Аддитивные действия на полных алгебраических многообразиях Ivan Arzhantsev VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory February 1, 2020 12:15
23.	Теория дивизоров и комбинаторика в свободной полугруппе I. V. Arzhantsev July 23, 2019 17:15
24.	Орбиты группы автоморфизмов алгебраического многообразия I. V. Arzhantsev Meetings of the Moscow Mathematical Society April 16, 2019 18:30
25.	Infinite transitivity, finite generation, and Demazure roots I. V. Arzhantsev Lie groups and invariant theory December 12, 2018 16:45
26.	Commutative algebraic monoid structures on affine spaces Ivan Arzhantsev Workshop on birational geometry October 30, 2018 16:40
27.	Конечномерные алгебры и действия групп, занятие 4 I. V. Arzhantsev Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018 July 25, 2018 17:15
28.	Конечномерные алгебры и действия групп, занятие 3 I. V. Arzhantsev Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018 July 23, 2018 11:15
29.	Конечномерные алгебры и действия групп, занятие 2 I. V. Arzhantsev Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018 July 21, 2018 09:30
30.	Конечномерные алгебры и действия групп, занятие 1 I. V. Arzhantsev Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018 July 20, 2018 11:15
31.	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
32.	Аддитивные действия и соответствие Хассетта–Чинкеля. Лекция I. V. Arzhantsev XVII Summer School "Contemporary Mathematics", 2017 July 23, 2017 15:30
33.	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
34.	Линейные коды. Занятие 4 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2016 July 23, 2016 17:15
35.	Линейные коды. Занятие 3 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2016 July 22, 2016 09:30
36.	Линейные коды. Занятие 2 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2016 July 21, 2016 15:30
37.	Линейные коды. Занятие 1 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2016 July 20, 2016 11:45
38.	Trinomials I. V. Arzhantsev Lie groups and invariant theory April 13, 2016 16:45
39.	Additive actions on toric varieties I. V. Arzhantsev Lie groups and invariant theory October 21, 2015 16:45
40.	Конечные поля. Лекция I. V. Arzhantsev Summer School "Contemporary Mathematics", 2015 July 26, 2015 12:45
41.	Бесконечная транзитивность и ее приложения I. V. Arzhantsev Discrete and Computational Geometry March 17, 2015 13:45
42.	Дифференцирования в алгебре. Лекция 4 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2014 July 24, 2014 11:15
43.	Дифференцирования в алгебре. Лекция 3 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2014 July 23, 2014 17:00
44.	Дифференцирования в алгебре. Лекция 2 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2014 July 21, 2014 11:15
45.	Дифференцирования в алгебре. Лекция 1 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2014 July 20, 2014 17:00
46.	Infinite transitivity on universal torsors I. V. Arzhantsev Lie groups and invariant theory November 6, 2013 16:45
47.	Автоморфизмы аффинного пространства. Лекция 4 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2013 July 24, 2013 09:30
48.	Автоморфизмы аффинного пространства. Лекция 3 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2013 July 23, 2013 11:15
49.	Автоморфизмы аффинного пространства. Лекция 2 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2013 July 22, 2013 17:00
50.	Автоморфизмы аффинного пространства. Лекция 1 I. V. Arzhantsev Summer School "Contemporary Mathematics", 2013 July 21, 2013 15:30
51.	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
52.	Cox rings, universal torsors, and infinite transitivity I. V. Arzhantsev Seminar "Complex analysis in several variables" (Vitushkin Seminar) March 20, 2013 16:45
53.	Infinite transitivity on affine varieties I. V. Arzhantsev Iskovskikh Seminar February 7, 2013 18:00
54.	Geometric Invariant Theory and Cox rings I. V. Arzhantsev Iskovskikh Seminar October 18, 2012 18:00
55.	Automorphisms of algebraic varieties and toric geometry I. V. Arzhantsev St. Petersburg Seminar on Representation Theory and Dynamical Systems March 28, 2012 12:00
56.	Локальные алгебры и аддитивные структуры на проективных многообразиях I. V. Arzhantsev Meetings of the Moscow Mathematical Society December 13, 2011 18:30
57.	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
58.	Universal torsors over del Pezzo surfaces I. V. Arzhantsev Iskovskikh Seminar November 3, 2011 19:00
59.	Torsors over Luna strata I. V. Arzhantsev Lie groups and invariant theory September 28, 2011 16:45
60.	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 by Algebra Department November 30, 2010 15:00
61.	Бесконечная транзитивность для групп автоморфизмов аффинных многообразий (совм. работа с М. Г. Зайденбергом и К. Г. Куюмжиян) Ivan Arzhantsev Lie groups and invariant theory March 17, 2010
62.	Факториальные действия и категорные факторы (совместная работа с Ю. Хаузеном (J. Hausen) и Д. Целиком (D. Celik)) Ivan Arzhantsev Lie groups and invariant theory November 25, 2009
63.	Cox rings and algebraic transformation groups Ivan Arzhantsev Meetings of the Moscow Mathematical Society February 19, 2008
64.	Несколько результатов к программе Бялыницкого–Бирули (совместная работа с Ю. Хаусеном) Ivan Arzhantsev Lie groups and invariant theory October 31, 2007
65.	Вариация факторов, GIT-веера и тотальные координаты (совм. работа с Ю. Хаузеном (J. Hausen)) (продолжение доклада от 22 февраля) Ivan Arzhantsev Lie groups and invariant theory March 15, 2006 16:20
66.	Вариация факторов, GIT-веера и тотальные координаты (совм. работа с Ю. Хаузеном (J. Hausen)) Ivan Arzhantsev Lie groups and invariant theory February 22, 2006 16:20
67.	Вложения с малой границей однородных пространств (совм. работа с Юргеном Хаусеном) I. V. Arzhantsev Lie groups and invariant theory September 21, 2005 16:20
68.	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
69.	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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