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Keywords: mapping class groups of surfaces, 3-manifolds, knots and links, braids, open books, bounded cohomology, hyperbolicity, contact structures, quantum invariants, configuration spaces, 4-manifolds, asymptotic genericity

Subject:

Low-dimensional topology, geometric group theory, geometric topology, knot theory

Main publications:

1. Ilya Alekseev, Andrey Malyutin, Anatoly Vershik, “On the growth of the number of prime knots”, St Petersburg Mathematical Journal, 36:1 (2025), 9-24
2. Ilya Alekseev, “Crossing number of (closed) homogeneous braids”, Algebra i Analiz, 36:5 (2024), 86-100

Publications in Math-Net.Ru

Talks and lectures

Personal pages:

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Organisations:

• St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Saint-Petersburg State University, Department of Mathematics and Computer Science
• Euler International Mathematical Institute, St. Petersburg