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Alekseev, Ilya
E-mail:
email
Keywords:
knots, braids, quantum invariants, 3-manifolds, open books, configuration spaces, 4-manifolds, surface mapping class groups
Subject:
Low-dimensional topology, geometric topology, knot theory, contact topology
Main publications:
Ilya Alekseev, Andrey Malyutin, Anatoly Vershik, “On the growth of the number of prime knots”, St Petersburg Mathematical Journal , 36 :1 (2025), 9-24
Ilya Alekseev, “Crossing number of (closed) homogeneous braids”, Algebra i Analiz , 36 :5 (2024), 86-100
https://www.mathnet.ru/eng/person151263
https://scholar.google.com/citations?user=7s1nvmYAAAAJ&hl=en
https://orcid.org/0000-0002-1440-5549
https://www.webofscience.com/wos/author/record/R-1148-2018
https://www.researchgate.net/profile/Ilya-Alekseev-5
https://arxiv.org/a/alekseev_i_2
Publications in Math-Net.Ru Citations
2024
1.
I. S. Alekseev, “Crossing number of (closed) homogeneous braids”, Algebra i Analiz , 36 :5 (2024), 86–100
2.
I. S. Alekseev, A. M. Vershik, A. V. Malyutin, “On the growth of the number of prime knots”, Algebra i Analiz , 36 :1 (2024), 17–39 St. Petersburg Math. J. , 36 :1 (2025), 9–24
1
Presentations in Math-Net.Ru
1.
Универсальность псевдохарактеров кос в теории узлов Conference "Low-dimensional topology 2025" November 5, 2025
2.
Центры групп кос поверхностей и точная последовательность Бирман V. A. Rohlin St. Petersburg Topology Seminar October 30, 2024
3.
Giroux correspondence: from open books to contact structures Low-dimensional topology student seminar October 26, 2024 17:00
4.
Меры сложности и многочлен HOMFLY–PT узлов November 11, 2022
5.
Косы: хитросплетение математики. Семинар 4 Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 26, 2022
6.
Косы: хитросплетение математики. Семинар 3 Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 24, 2022
7.
Косы: хитросплетение математики. Семинар 2 Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 21, 2022
8.
Косы: хитросплетение математики. Семинар 1 Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 20, 2022
9.
New approaches to estimating the logarithmic volume of the braid group St. Petersburg Seminar on Representation Theory and Dynamical Systems November 10, 2021
10.
Новые классы минимальных диаграмм узлов August 9, 2021
11.
Точность неравенства Мортона — Фрэнкса — Уильямса V. A. Rohlin St. Petersburg Topology Seminar December 14, 2020
12.
Геодезические для некоторых центральных расширении A. D. Aleksandrov Seminar in Geometry March 12, 2020
13.
Growth rate of braid groups V. A. Rohlin St. Petersburg Topology Seminar October 14, 2019
Organisations
