Publications

In preparation

22. M. Naszódi, A. Polyanskii, Perron and Frobenius meet Carathéodory

21. A.C. Manzano, M. Naszódi, A. Polyanskii, Greedy integer programming.

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

19. N. Chernega, A. Polyanskii, R. Sadykov, Non-crossings in geometric graphs.

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, submitted.

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

15. A.A. Polyanskii, On simultaneous approximations of \ln 3 and \pi/\sqrt{3} by rational numbers, Sbornik:Mathematics, accepted.

14. A. Polyanskii, On almost-equidistant sets, Linear Algebra and its Applications, 563 (2019), 220-230.

13. A.A. Polyanskii, On the irrationality measures of certain numbers-II, Mathematical Notes, 103(3-4) (2018), 626-634.

12. B.G. Merino, T. Jahn, A. Polyanskii, G. Wachsmuth, Hunting for reduced polytopes, Discrete and Computational Geometry, , 60(3) (2018), 801-808.

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

10. A. Kupavskii, A. Polyanskii, Proof of Schur's conjecture in  \mathbb{R}^d, Combinatorica, 37(6) (2017), 1181-1205.

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

8. Z. Jiang,  A. Polyanskii, Proof of László Fejes Tóth's zone conjecture, Geometric and Functional Analysis, 27(6), (2017), 1367–1377.

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

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

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

4. 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.

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 (in Russian), Department of Mechanics and Mathematics of Moscow State University, November 2013.