Publications

In preparation

20. F. Nilov, A. Polyanskii, Silvester-Gallai theorem for vectors.

19. N. Chernega, A. Polyanskii, R. Sadykov, On geometric graphs with few disjoint edges.

Research papers

18. Z. Jiang, A. Polyanskii, Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines, submitted.

17. A. Polyanskii, On almost-equidistant sets - II, in preparation.

16. A. Polyanskii, On almost-equidistant sets, submitted.

15. Z. Jiang,  A. Polyanskii, Proof of László Fejes Tóth's zone conjecture, Geometric and Functional Analysis, in press.

14. A. Polyanskii, Helly-type theorem for eigenvectors, in preparation.

13. M. Naszódi, A. Polyanskii, Approximating set multi-covers, European Journal of Combinatorics, 67 (2018), 174-180.

12. A. Polyanskii, Pairwise intersecting homothets of a convex body, Discrete Mathematics, 340(8) (2017), 1950-1956.

11. B.G. Merino, T. Jahn, A. Polyanskii, G. Wachsmuth, Hunting for reduced polytopes, submitted.

10. A.B. Kupavskii, A.A. Polyanskii, On simplices in diameter graphs in \mathbb{R}^4, Mathematical Notes, 101(2) (2017), 265-276.

9. A. Kupavskii, A. Polyanskii, Proof of Schur's conjecture in  \mathbb{R}^d, Combinatorica, (2016), 1-25.

8. V.V. Bulankina, A.B. Kupavskii, A.A. Polyanskii, On Schur's conjecture in \mathbb R^4, Mathematical Notes, 97(1) (2015), 21-29.

7. A. Polyanskii, On a question of Makai and Martini on bodies of constant widthContributions to Algebra and Geometry, 55(2) (2014), 635-636.

6. V.V. Bulankina, A.B. Kupavskii, A.A. Polyanskii, Note on Schur's conjecture in \mathbb{R}^4, Doklady Mathematics, 89(1) (2014), 88-91.

5. A.A. Polyanskii, On the irrationality measure of certain numbers-II, submitted.

4. A.A. Polyanskii, On simultaneous approximations of \ln 3 and \pi/\sqrt{3} by rational numbers, submitted.

3. A.A. Polyanskii, Quadratic irrationality exponents of certain numbers, Moscow University Mathematics Bulletin, 68(5) (2013), 237-240.

2. A.A. Polyanskii, Square exponent of irrationality of \ln 2, Moscow University Mathematics Bulletin, 67(1) (2012), 25-30.

1. A. Polyanskii, On the irrationality measure of certain numbersMoscow Journal of Combinatorics and Number Theory, 1(4) (2011), 80-90.

Expository papers

4. A. Polyanskii, P. Tarasov, Selected examination problems in Discrete Analysis, Matematicheskoe Prosveschenie (2017), 205-209 (in Russian).

3. F. Nilov, A. Polyanskii, N. Polyanskii, Szemerédi-Trotter theorem, Matematicheskoe Prosveschenie (2017), 186-196 (in Russian).

2. A. Polyanskii, Solving problems without using Pick's formula, Kvant 2 (2013), 40-42 (in Russian).

1. A. Polyanskii, To shoot a cannon with sparrows, Kvant 2 (2012), 49-50, 60-61 (in Russian).

Research projects for Summer Conference of Tournament of Towns

2. F. Nilov, A. Polyanskii, N. Polyanskii, Point-Line Incidences, (2014), Kaliningrad (bilingual).

1. A. Zaslavskiy, F. Nilov, A. Polyanskii, M. Skopenkov, Webs from lines and circles, (2012), Teberda (bilingual).

Ph.D. Thesis

1. A.A. Polyanskii, On the irrationality measure of certain numbers, Department of Mechanics and Mathematics of Moscow State University, November 2013.