Research

Published Papers

5. Buchstaber, Ochanine, Krichever, and Witten genera

Kornev M.I., Journal of Geometry and Physics, Volume 226, Number 105855 (2026)

4. $n$-Valued Monoids on $\mathbb{C}P^1$ and Discriminants

Buchstaber V.M., Kornev M.I., Russian Math. Surveys, Volume 81, Issue 1(487) (2026), 191–193

3. On the Classification of $n$-Valued Monoids and Groups of Order 3

Kornev M.I., Mat. Zametki, Volume 119, Issue 2 (2026), 244–252

2. $n$-Valued Coset Groups and Dynamics

Kornev M.I., Mathematical Notes, Volume 116, Issue 1 (2024), 66–76

1. Homology Spheres

Kornev M.I., Transactions of the Moscow Mathematical Society, Volume 84 (2023), 197–239

Preprints (Including Published Versions)

6. Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE

Buchstaber V., Kornev M., and Rubtsov V., arXiv:2604.26641

5. Buchstaber, Ochanine, Krichever, and Witten genera

Kornev M.I., arXiv:2603.21118

4. Algebraic $n$-Valued Monoids on $\mathbb{C}P^1$, Discriminants and Projective Duality

Buchstaber V., Kornev M., arXiv:2510.14010

3. On the Classification of $n$-Valued Monoids and Groups of Order 3

Kornev M., arXiv:2508.04454

2. $n$-Valued Groups, Kronecker Sums, and Wendt's Matrices

Buchstaber V., Kornev M., arXiv:2505.04296

1. $n$-Valued Coset Groups and Dynamics

Kornev M., arXiv:2401.12718

Music & Mathematics

1. The Technique of Musical Icosahedra

Kornev M. I., Muzykal’naya akademiya [Music Academy], Issue 3, 2025, 64–83 (in Russian)

Manuscripts

1. Final Qualifying Paper of a Specialist (Master)