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Erokhovets, Nikolai Yur'evich

Total publications: 24 (20)
in MathSciNet: 14 (13)
in zbMATH: 9 (8)
in Web of Science: 17 (16)
in Scopus: 19 (19)
Cited articles: 18
Citations: 165
Presentations: 33

Number of views:
This page:3990
Abstract pages:9169
Full texts:2750
References:873
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

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


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

   2024
1. N. Yu. Erokhovets, “Manifolds realized as orbit spaces of non-free $\mathbb Z_2^k$-actions on real moment-angle manifolds”, 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, Steklov Math. Inst., Moscow, 2024 (to appear)  mathnet
2. 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  mathnet

   2022
3. N. Yu. Erokhovets, “Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes”, Sb. Math., 213:6 (2022), 752–793  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
4. 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  mathnet  crossref  crossref  mathscinet  scopus
5. 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.  mathnet
6. 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.  mathnet

   2021
7. N. Yu. Erokhovets, “Theory of families of polytopes: fullerenes and Pogorelov polytopes”, Moscow University Mathematics Bulletin, 76:2 (2021), 83–95  mathnet  crossref  mathscinet  zmath  isi  scopus
8. 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/  crossref  scopus 4

   2019
9. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
10. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2018
11. Nikolai Erokhovets, “Construction of Fullerenes and Pogorelov Polytopes with 5-, 6-and one 7-Gonal Face”, Symmetry, 10:3 (2018), 67 , 28 pp.  mathnet  crossref  mathscinet  isi  scopus 7
12. 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  mathnet  crossref  mathscinet  isi  scopus 17

   2017
13. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
14. 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  mathnet  crossref  isi  scopus 9
15. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
16. 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  mathnet  crossref  mathscinet  isi  scopus  scopus 9

   2015
17. 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  mathnet  elib
18. V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133  mathnet  crossref  crossref  isi  elib  elib  scopus

   2014
19. N. Yu. Erokhovets, “Buchstaber invariant theory of simplicial complexes and convex polytopes”, Proc. Steklov Inst. Math., 286 (2014), 128–187  mathnet  crossref  crossref  isi  elib  elib  scopus

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

   2010
22. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2009
23. N. Yu. Erokhovets, “Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs”, Proc. Steklov Inst. Math., 266 (2009), 120–132  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
24. N. Yu. Erokhovets, “Buchstaber invariant of simple polytopes”, Russian Math. Surveys, 63:5 (2008), 962–964  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

Presentations in Math-Net.Ru
1. 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
2. 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
3. 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
4. Геометризация трёхмерных многообразий, определяемых раскрасками многогранников
N. Yu. Erokhovets
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
September 13, 2023 18:30
5. 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   
6. 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   
7. 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
8. 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
9. Когомологическая жёсткость для трёхмерных идеальных прямоугольных многогранников
N. Yu. Erokhovets
Algebraic topology and its applications. Postnikov memorial seminar
September 15, 2020 17:30
10. B-rigidity of ideal almost pogorelov polytopes
N. Yu. Erokhovets
Algebraic topology and its applications. Postnikov memorial seminar
May 26, 2020 16:45
11. 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
12. 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
13. Прямоугольные многогранники в пространстве Лобачевского: комбинаторика и конструкции
N. Yu. Erokhovets
December readings in Tomsk
December 14, 2018 16:10   
14. 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   
15. 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
16. Сombinatorics and toric topology of fullerenes and Pogorelov polytopes
N. Erokhovets
Dynamics in Siberia - 2018
February 27, 2018 16:30
17. 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
18. Реализация фуллеренов при помощи усечений рёбер многогранников
N. Yu. Erokhovets
Algebraic topology and its applications. Postnikov memorial seminar
April 26, 2016 16:45
19. Реализация фуллеренов при помощи усечений рёбер многогранников
N. Yu. Erokhovets
Knots and Representation Theory
April 5, 2016 18:30
20. 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
21. Реализация фуллеренов
N. Yu. Erokhovets
Algebraic topology and its applications. Postnikov memorial seminar
October 13, 2015 16:45
22. Фуллерены как флаговые многогранники
N. Yu. Erokhovets
Differential geometry and applications
April 13, 2015 16:45
23. 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
24. Многогранники с малым числом Бухштабера
N. Yu. Erokhovets
Algebraic topology and its applications. Postnikov memorial seminar
April 22, 2014 17:35
25. Buchstaber's invariant and Grassman manifolds
N. Yu. Erokhovets
Modern geometry methods
April 2, 2014 18:30
26. 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   
27. 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
28. Флаговые числа и кольцо выпуклых многогранников
N. Yu. Erokhovets
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 25, 2012 18:30
29. Buchstaber invariant theory of simple polytopes
N. Yu. Erokhovets
Globus Seminar
April 19, 2012 15:40   
30. Универсальный $g$-полином
N. Yu. Erokhovets
Differential geometry and applications
April 11, 2011 16:45
31. Homomorphisms of rings of convex polytopes and their applications
N. Yu. Erokhovets
Lie groups and invariant theory
February 16, 2011 16:45
32. Квазисимметрические функции и их приложения
N. Yu. Erokhovets
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
March 17, 2010 18:30
33. Инвариант Бухштабера и структура простых многогранников
N. Yu. Erokhovets
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 16, 2008

Books in Math-Net.Ru
  1. 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
    http://mi.mathnet.ru/book1988
  2. 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
  3. 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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