Persons: Karasev, Roman Nikolaevich

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Karasev, Roman Nikolaevich

Doctor of physico-mathematical sciences (2010)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

Website:

https://www.rkarasev.ru

Keywords:

Tverberg's theorem, Borsuk–Ulam type theorems, Knaster's problem, measure partition.

UDC:

514.17

MSC:

14N20, 52A10, 52A20, 52A35, 52C35, 53A04, 53A07, 55M20, 55M30, 55M35, 55Q91, 55R80, 57S17

Subject:

Dicrete and convex geometry, with essential use of topological methods.

Main publications:

R.N. Karasev, “Transversals for the families of translates of a two-dimensional convex compact set”, Discrete and Computational Geometry, 24:2/3 (2000), 345–353
R.N. Karasev, “Tverberg's transversal conjecture and analogues of nonembeddability theorems for transversals”, Discrete and Computational Geometry, 38:3 (2007), 513–525
R.N. Karasev, “Periodic billiard trajectories in smooth convex bodies”, Geometric and Functional Analysis, 19:2 (2009), 423–428
R.N. Karasev, “The genus and the category of configuration spaces”, Topology and its Applications, 156:14 (2009), 2406–2415
V.L. Dol'nikov, R.N. Karasev, “Dvoretzky type theorems for multivariate polynomials and sections of convex bodies”, Geometric and Functional Analysis, 21:2 (2011), 301–318
R.N. Karasev, F.V. Petrov, “Partitions of nonzero elements of a finite field into pairs”, Israel Journal of Mathematics, 192 (2012), 143–156
R.N. Karasev, “A simpler proof of the Boros–Füredi–Bárány–Pach–Gromov theorem”, Discrete and Computational Geometry, 47:3 (2012), 492–495
R.N. Karasev, “An analogue of Gromov's waist theorem for coloring the cube”, Discrete and Computational Geometry, 2013

https://www.mathnet.ru/eng/person30789

List of publications on Google Scholar

Full list of publications:

http://www.rkarasev.ru/en/list_of_publications

	Publications in Math-Net.Ru	Citations
	2019
1.	R. N. Karasev, “Протыкание семейства транслятов двумерного выпуклого тела”, Mat. Pros., Ser. 3, 24 (2019), 159–167
	2017
2.	R. N. Karasev, “О разбиениях многогранника на выпуклые части”, Mat. Pros., Ser. 3, 21 (2017), 224–234
	2014
3.	Yu. I. Skalko, R. N. Karasev, A. V. Akopyan, I. V. Tsybulin, M. A. Mendel', “Space-marching algorithm for solving radiative transfer problem basedon short-characteristics method”, Computer Research and Modeling, 6:2 (2014), 203–215	4
	2013
4.	R. N. Karasev, “On two conjectures of Makeev”, Zap. Nauchn. Sem. POMI, 415 (2013), 5–14 ; J. Math. Sci. (N. Y.), 212:5 (2016), 521–526	2
	2012
5.	H. Edelsbrunner, A. Ivanov, R. Karasev, “Current Open Problems in Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:5 (2012), 5–17	4
	2011
6.	R. N. Karasev, “Решение задачи про вписывание пятиугольника”, Mat. Pros., Ser. 3, 15 (2011), 206–211
	2009
7.	R. N. Karasev, “Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets”, Mat. Sb., 200:10 (2009), 39–58 ; Sb. Math., 200:10 (2009), 1453–1471	6
	2008
8.	R. N. Karasev, “Topological methods in combinatorial geometry”, Uspekhi Mat. Nauk, 63:6(384) (2008), 39–90 ; Russian Math. Surveys, 63:6 (2008), 1031–1078	8
9.	R. N. Karasev, “Dual theorems on central points and their generalizations”, Mat. Sb., 199:10 (2008), 41–62 ; Sb. Math., 199:10 (2008), 1459–1479	12
	2007
10.	R. N. Karasev, “Genus and the Lyusternik-Schnirelmann category of preimages”, Model. Anal. Inform. Sist., 14:4 (2007), 31–35	1
	2004
11.	R. N. Karasev, “Проективные преобразования, оставляющие на месте окружность”, Mat. Pros., Ser. 3, 8 (2004), 113–122
	2000
12.	R. N. Karasev, “Задача об объеме симметризации выпуклого множества”, Mat. Pros., Ser. 3, 4 (2000), 181–187
	1998
13.	R. N. Karasev, “On transversals of the family of translates of two-dimensional convex compact”, Zap. Nauchn. Sem. POMI, 252 (1998), 67–77 ; J. Math. Sci. (New York), 104:4 (2001), 1293–1300

	2010
14.	M. V. Balashov, I. I. Bogdanov, R. N. Karasev, “Студенческие математические олимпиады МФТИ”, Mat. Pros., Ser. 3, 14 (2010), 214–224

Presentations in Math-Net.Ru

1.	Покрытие полосками и уклонение от множества нулей многочлена R. N. Karasev Dobrushin Mathematics Laboratory Seminar October 8, 2024 16:15
2.	Systolic inequalities for the number of vertices R. N. Karasev Geometric Topology Seminar November 1, 2022 17:00
3.	On combinatorial versions of systolic inequalities R. N. Karasev Algebraic topology and its applications. Postnikov memorial seminar November 9, 2021 16:45
4.	Деление на равные части и деление без зависти, эквивариантные отображения и степень отображений R. N. Karasev, A. V. Akopyan, A. B. Skopenkov, Meetings of the Moscow Mathematical Society December 22, 2020 19:20
5.	Equivariant maps, envy-free division and almost embeddings R. N. Karasev Geometric Topology Seminar November 13, 2020 17:00
6.	Envy-free divisions, equivariant maps, and mapping degrees R. N. Karasev Knots and Representation Theory October 12, 2020 18:30
7.	Envy-free division using mapping degree (on joint work with S.Avvakumov and S.Kudrya) R. N. Karasev Algebraic topology and its applications. Postnikov memorial seminar May 19, 2020 16:45
8.	Degree of maps between spheres in fair division problems R. N. Karasev Geometric Topology Seminar September 18, 2019 17:15
9.	Fair partition of a two-dimensional convex pie R. N. Karasev Geometric Topology Seminar March 22, 2019 17:00
10.	Fair division of a two-dimensional convex pie R. N. Karasev Algebraic topology and its applications. Postnikov memorial seminar March 12, 2019 16:45
11.	Многомерные вычеты, формулы для коэффициента многочлена нескольких переменных и тождество Дайсона R. N. Karasev March 1, 2018 18:30
12.	Поперечники по Громову шаров пространств постоянной кривизны R. N. Karasev Dobrushin Mathematics Laboratory Seminar October 10, 2017 16:00
13.	Colorful theorems for strong convexity (joint with Andreas Holmsen) R. N. Karasev Matsbornik-150: algebra, geometry, analysis November 8, 2016 12:30
14.	Кратности отображений и конфигурационные пространства R. N. Karasev Topological Day April 15, 2016 16:30
15.	Результаты и задачи на стыке выпуклой и симплектической геометрии III R. N. Karasev Summer mathematical school "Algebra and Geometry", 2014 July 27, 2014 09:30
16.	Результаты и задачи на стыке выпуклой и симплектической геометрии II R. N. Karasev Summer mathematical school "Algebra and Geometry", 2014 July 26, 2014 09:30
17.	Результаты и задачи на стыке выпуклой и симплектической геометрии I R. N. Karasev Summer mathematical school "Algebra and Geometry", 2014 July 25, 2014 11:30
18.	Метод Громова стягивания в пространстве циклов R. N. Karasev Discrete and Computational Geometry April 22, 2014 13:00
19.	Бильярды в финслеровых нормах, гипотеза Малера и симплектические инварианты (по совместным работам с Шири Артштейн-Авидан, Яроном Островером, Алексеем Балицким и Арсением Акопяном) R. N. Karasev Knots and Representation Theory February 18, 2014 18:00
20.	Quantitative theorems on covering dimension and toric geometry R. N. Karasev Discrete and Computational Geometry October 23, 2013 13:00
21.	Mahler Conjecture and symplectic geometry R. N. Karasev Algebraic topology and its applications. Postnikov memorial seminar May 7, 2013 16:45
22.	Topological Approach to Dvoretskii Theorem about Convex Bodies R. N. Karasev Dobrushin Mathematics Laboratory Seminar March 5, 2013 16:00
23.	Метод Громова в задачах дискретной геометрии R. N. Karasev Meetings of the Moscow Mathematical Society March 27, 2012 18:30
24.	О замкнутых бильярдных траекториях в гладких выпуклых телах R. N. Karasev Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) February 20, 2008

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