Persons: Erokhovets, Nikolai Yur'evich

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Erokhovets, Nikolai Yur'evich

Total publications:	25 (21)
in MathSciNet:	16 (15)
in zbMATH:	11 (10)
in Web of Science:	20 (19)
in Scopus:	20 (20)
Cited articles:	20
Citations:	204
Talks:	42

Number of views:
This page:	6297
Abstract pages:	19318
Full texts:	11011
Talk pages:	20159
Video records:	1207

Candidate of physico-mathematical sciences (2011)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

https://www.mathnet.ru/eng/person38482

List of publications on Google Scholar

https://zbmath.org/authors/ai:erokhovets.nikolai-yu

https://mathscinet.ams.org/mathscinet/MRAuthorID/860400

https://www.scopus.com/authid/detail.url?authorId=26537263800

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2026
1.	N. Yu. Erokhovets, “Hyperelliptic four-manifolds defined by vector-colourings of simple polytopes”, Sb. Math., 217:5 (2026), 650–686

2024
2.	Nikolai Yu. Erokhovets, “Manifolds Realized as Orbit Spaces of Non-free $\mathbb Z_2^k$-Actions on Real Moment–Angle Manifolds”, Proc. Steklov Inst. Math., 326 (2024), 177–218
3.	Topologiya, geometriya, kombinatorika i matematicheskaya fizika, Sbornik statei. K 80-letiyu chlena-korrespondenta RAN Viktora Matveevicha Bukhshtabera, Trudy MIAN, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, MIAN, M., 2024, 398 pp.

2022
4.	N. Yu. Erokhovets, “Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes”, Sb. Math., 213:6 (2022), 752–793
5.	Nikolai Yu. Erokhovets, “Cohomological Rigidity of Families of Manifolds Associated with Ideal Right-Angled Hyperbolic 3-Polytopes”, Proc. Steklov Inst. Math., 318 (2022), 90–125
6.	Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 1, Sbornik statei, Trudy MIAN, 317, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022, 210 pp.
7.	Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 2, Sbornik statei, Trudy MIAN, 318, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022, 204 pp.

2021
8.	N. Yu. Erokhovets, “Theory of families of polytopes: fullerenes and Pogorelov polytopes”, Moscow University Mathematics Bulletin, 76:2 (2021), 83–95
9.	Nikolai Yu. Erokhovets, “$B$-rigidity of the property to be an almost Pogorelov polytope”, Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial, Contemporary Mathematics, 772, eds. Anatoly M. Vershik, Victor M. Buchstaber, Andrey V. Malyutin, American Mathematical Society, 2021, 107–122 https://www.ams.org/books/conm/772/	4 ^[x]

2019
10.	N. Yu. Erokhovets, “Three-Dimensional Right-Angled Polytopes of Finite Volume in the Lobachevsky Space: Combinatorics and Constructions”, Proc. Steklov Inst. Math., 305 (2019), 78–134
11.	V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162

2018
12.	Nikolai Erokhovets, “Construction of Fullerenes and Pogorelov Polytopes with 5-, 6-and one 7-Gonal Face”, Symmetry, 10:3 (2018), 67, 28 pp.	8 ^[x]
13.	I. A. Baburin, M. Bouniaev, N. Dolbilin, N. Yu. Erokhovets, A. Garber, S. V. Krivovichev, E. Schulte, “On the origin of crystallinity: on a lower bound for the regularity radius of Delone sets”, Acta Crystallogr. Sect. A, 74:6 (2018), 616–629	20 ^[x]

2017
14.	V. M. Buchstaber, N. Yu. Erokhovets, M. Masuda, T. E. Panov, S. Park, “Cohomological rigidity of manifolds defined by 3-dimensional polytopes”, Russian Math. Surveys, 72:2 (2017), 199–256
15.	Victor M. Buchstaber, Nikolay Yu. Erokhovets, “Finite sets of operations sufficient to construct any fullerene from $C_{20}$”, Structural Chemistry, 28:1 (2017), 225–234	12 ^[x]
16.	V. M. Buchstaber, N. Yu. Erokhovets, “Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes”, Izv. Math., 81:5 (2017), 901–972
17.	V. M. Buchstaber, N. Yu. Erokhovets, “Fullerenes, Polytopes and Toric Topology”, Combinatorial and Toric Homotopy, Introductory Lectures, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (LNIMSNUS), 35, World Scientific, 2017, 67–-178	10 ^[x]

2015
18.	N. Yu. Erokhovets, “$k$-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets”, Dal'nevost. Mat. Zh., 15:2 (2015), 197–213
19.	V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133

2014
20.	N. Yu. Erokhovets, “Buchstaber invariant theory of simplicial complexes and convex polytopes”, Proc. Steklov Inst. Math., 286 (2014), 128–187

2011
21.	N. Yu. Erokhovets, “Moment-angle manifolds of simple $n$-polytopes with $n+3$ facets”, Russian Math. Surveys, 66:5 (2011), 1006–1008
22.	V. M. Buchstaber, N. Yu. Erokhovets, “Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions”, Russian Math. Surveys, 66:2 (2011), 271–367

2010
23.	V. M. Buchstaber, N. Yu. Erokhovets, “Algebra of operators on the ring of polytopes and quasi-symmetric functions”, Russian Math. Surveys, 65:2 (2010), 381–383

2009
24.	N. Yu. Erokhovets, “Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs”, Proc. Steklov Inst. Math., 266 (2009), 120–132

2008
25.	N. Yu. Erokhovets, “Buchstaber invariant of simple polytopes”, Russian Math. Surveys, 63:5 (2008), 962–964

Presentations in Math-Net.Ru

1.	Гиперболические зацепления, определяемые гамильтоновыми подграфами в трёхмерных многогранниках N. Yu. Erokhovets Homogeneous spaces, Topology, and Mathematical Education. Conference dedicated to O. V. Manturov's birthday July 3, 2026 11:30
2.	О зацеплениях, определяемых гамильтоновыми циклами, гамильтоновыми тэта- и K_4-подграфами в 1-остовах трёхмерных простых многогранников N. Yu. Erokhovets Workshop on the discrete geometry and the geometry of numbers April 15, 2026 16:45
3.	О зацеплениях, отвечающих гамильтоновым циклам, гамильтоновым тэта-подграфам и гамильтоновым K_4-подграфам в 1-остовах трёхмерных простых многогранников N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 1, 2026 18:30
4.	Гиперболические зацепления, отвечающие эйлеровым циклам на идеальных прямоугольных гиперболических многогранниках N. Yu. Erokhovets Moscow-Beijing Topology seminar December 17, 2025 10:30
5.	Hyperbolic links corresponding to Eulerian cycles on ideal rectangular hyperbolic polytopes N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar December 3, 2025 18:30
6.	Медиальные графы в математике и статистической физике N. Yu. Erokhovets Workshop on the discrete geometry and the geometry of numbers November 19, 2025 17:00
7.	Геометрические гиперэллиптические многообразия и гамильтоновы подкомплексы в прямоугольных многогранниках. N. Yu. Erokhovets Workshop on the discrete geometry and the geometry of numbers April 30, 2025 16:45
8.	Geometrical hyperelliptic manifolds and Hamiltonian subcomplexes in rectangular polytopes N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 2, 2025 18:30
9.	Four-dimensional hyperelliptic manifolds defined by vector-colorings of polytopes N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar December 4, 2024 18:30
10.	Четырёхмерные гиперэллиптические многообразия, определяемые векторными раскрасками многогранников. N. Yu. Erokhovets Workshop on the discrete geometry and the geometry of numbers October 15, 2024 16:45
11.	Многообразия, реализуемые как пространства орбит несвободных действий группы $Z_2^k$ на вещественных момент-угол многообразиях N. Yu. Erokhovets Workshop on the discrete geometry and the geometry of numbers April 9, 2024 16:45
12.	On manifolds, realizable as orbit spaces of non free actions of groups $\mathbb{Z}_2^r$ on real moment-angle manifolds N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar March 26, 2024 16:45
13.	Геометризация трёхмерных многообразий, определяемых раскрасками многогранников N. Yu. Erokhovets Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS, and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU "Geometry, Topology and Mathematical Physics" (Novikov Seminar) September 13, 2023 18:30
14.	Когомологически жёсткие семейства многообразий, ассоциированные с идеальными прямоугольными гиперболическими многогранниками N. Yu. Erokhovets Conference “Geometry, topology and mathematical physics” on the occasion of the 85th anniversary of S.P. Novikov and the 80th anniversary of V.M. Buchstaber April 11, 2023 16:50
15.	Cohomological rigidity of manifolds associated to ideal right-angled hyperbolic 3-polytopes N. Yu. Erokhovets International Conference "Algebraic Topology and Applications" December 20, 2021 11:00
16.	Geometry, combinatorics and toric topology of some families of 3-dimensional polytopes N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 20, 2021 16:45
17.	On canonic geometrization for 3-dimensional manifolds, realizable as small covers N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar November 24, 2020 17:30
18.	Когомологическая жёсткость для трёхмерных идеальных прямоугольных многогранников N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar September 15, 2020 17:30
19.	B-rigidity of ideal almost pogorelov polytopes N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar May 26, 2020 16:45
20.	On three-dimensional rectangular polytopes of finite volume in Lobachevsky space: constructions and combinatorics N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 16, 2019 17:35
21.	Three-dimensional rectangular polytopes of finite volume in the Lobachevsky space: combinatorics and constructions N. Erokhovets Lie groups and invariant theory April 3, 2019 16:45
22.	Прямоугольные многогранники в пространстве Лобачевского: комбинаторика и конструкции N. Yu. Erokhovets December readings in Tomsk December 14, 2018 16:10
23.	Семейства трёхмерных многогранников, фуллерены и 7-диск-фуллерены N. Yu. Erokhovets International conference "Discrete Mathematics and Mathematical Crystallography" dedicated to the 80th anniversary of Mikhail Ivanovich Stogrin September 26, 2018 16:50
24.	On construction of fullerenes and Pogorelov type polytopes with 5-, 6- and no greater than one 7-gon facets N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 17, 2018 18:30
25.	Сombinatorics and toric topology of fullerenes and Pogorelov polytopes N. Erokhovets Dynamics in Siberia - 2018 February 27, 2018 16:30
26.	Toric topology, and combinatorics of fullerenes and Pogorelov polytopes N. Yu. Erokhovets British-Russian Seminar on Toric Topology and Homotopy Theory March 15, 2017 10:30
27.	Реализация фуллеренов при помощи усечений рёбер многогранников N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 26, 2016 16:45
28.	Реализация фуллеренов при помощи усечений рёбер многогранников N. Yu. Erokhovets Knots and Representation Theory April 5, 2016 18:30
29.	k-пояса и рёберные циклы трёхмерных простых многогранников с не более, чем шестиугольными гранями N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar November 17, 2015 16:45
30.	Реализация фуллеренов N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar October 13, 2015 16:45
31.	Фуллерены как флаговые многогранники N. Yu. Erokhovets Differential geometry and applications April 13, 2015 16:45
32.	Граф-усечения простых многогранников и приложения V. M. Buchstaber, N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar March 3, 2015 16:45
33.	Многогранники с малым числом Бухштабера N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 22, 2014 17:35
34.	Buchstaber's invariant and Grassman manifolds N. Yu. Erokhovets Modern geometry methods April 2, 2014 18:30
35.	Characterization of simplicial complexes with Buchstaber number two Nickolay Erochovets International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday June 20, 2013 12:00
36.	Критерий того, что число Бухштабера симплициального комплекса равно двум N. Yu. Erokhovets Algebraic topology and its applications. Postnikov memorial seminar April 23, 2013 16:45
37.	Флаговые числа и кольцо выпуклых многогранников N. Yu. Erokhovets Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS, and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU "Geometry, Topology and Mathematical Physics" (Novikov Seminar) April 25, 2012 18:30
38.	Buchstaber invariant theory of simple polytopes N. Yu. Erokhovets Globus Seminar April 19, 2012 15:40
39.	Универсальный $g$-полином N. Yu. Erokhovets Differential geometry and applications April 11, 2011 16:45
40.	Homomorphisms of rings of convex polytopes and their applications N. Yu. Erokhovets Lie groups and invariant theory February 16, 2011 16:45
41.	Квазисимметрические функции и их приложения N. Yu. Erokhovets Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS, and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU "Geometry, Topology and Mathematical Physics" (Novikov Seminar) March 17, 2010 18:30
42.	Инвариант Бухштабера и структура простых многогранников N. Yu. Erokhovets Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS, and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU "Geometry, Topology and Mathematical Physics" (Novikov Seminar) April 16, 2008

Books in Math-Net.Ru

Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, 2024, 398 с.
http://mi.mathnet.ru/book1988
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Collected papers, Trudy Mat. Inst. Steklova, 317, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 210 с.
http://mi.mathnet.ru/book1902
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 2, Collected papers, Trudy Mat. Inst. Steklova, 318, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 204 с.
http://mi.mathnet.ru/book1932

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