I am a mathematician. My present scientific interests include Discrete and Convex Geometry, Extremal Combinatorics. In 2013 I've defended my PhD at Moscow State University under the supervision of Yuri Valentinovich Nesterenko. From October of 2015 until September of 2017 I have been a Post-Doctoral Fellow at the Technion (host: Rom Pinchasi). Currently I am a Senior Research Fellow at MIPT.

In preparation

1. M. Naszódi, A. Polyanskii,
   Perron and Frobenius meet Carathéodory, in preparation
2. A.C. Manzano, M. Naszódi, A. Polyanskii,
   Greedy integer programming, in preparation
3. F. Nilov, A. Polyanskii,
   Silvester-Gallai theorem for vectors, in preparation
4. N. Chernega, A. Polyanskii, R. Sadykov,
   Non-crossings in geometric graphs, in preparation

Research papers

1. Z. Jiang, A. Polyanskii,
   Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines, Israel Journal of Mathematics, accepted.
2. A. Polyanskii,
   On almost-equidistant sets - II, The Electronic Journal of Combinatorics, 26 (2) (2019), #P2.14.
3. A. Polyanskii,
   Helly-type theorem for eigenvectors, in preparation
4. A. Polyanskii,
   On simultaneous approximations of $\ln{3}$ and $\frac{\pi}{\sqrt{3}}$ by rational numbers, Sbornik:Mathematics, accepted.
5. A. Polyanskii,
   On almost-equidistant sets, Linear Algebra and its Applications, 563 (2019), 220-230.
6. A. Polyanskii,
   On the irrationality measures of certain numbers-II, Mathematical Notes, 103 (3-4) (2018), 626-634.
7. B.G. Merino, T. Jahn, A. Polyanskii, G. Wachsmuth,
   Hunting for reduced polytopes, Discrete and Computational Geometry, 60 (3) (2018), 801-808.
8. M. Naszódi, A. Polyanskii,
   Approximating set multi-covers, European Journal of Combinatorics, 67 (2018), 174-180.
9. A. Kupavskii, A. Polyanskii,
   Proof of Schur's conjecture in $R^d$, Combinatorica, 37 (6) (2017), 1181-1205.
10. A. Polyanskii,
    Pairwise intersecting homothets of a convex body, Discrete Mathematics, 340 (8) (2017), 1950-1956.
11. Z. Jiang, A. Polyanskii,
    Proof of László Fejes Tóth's zone conjecture, Geometric and Functional Analysis, 27 (6), (2017), 1367–1377.
12. A.B. Kupavskii, A.A. Polyanskii,
    On simplices in diameter graphs in $R^4$, Mathematical Notes, 101(2) (2017), 265-276.
13. V.V. Bulankina, A.B. Kupavskii, A.A. Polyanskii,
    On Schur's conjecture in $R^4$, Mathematical Notes, 97(1) (2015), 21-29.
14. A. Polyanskii,
    On a question of Makai and Martini on bodies of constant width, Contributions to Algebra and Geometry, 55(2) (2014), 635-636.
15. V.V. Bulankina, A.B. Kupavskii, A.A. Polyanskii,
    Note on Schur's conjecture in $R^4$, Doklady Mathematics, 89(1) (2014), 88-91.
16. A. Polyanskii,
    Quadratic irrationality exponents of certain numbers, Moscow University Mathematics Bulletin, 68 (5) (2013), 237-240.
17. A. Polyanskii,
    Square exponent of irrationality of $\ln{2}$, Moscow University Mathematics Bulletin, 67(1) (2012), 25-30.
18. A. Polyanskii,
    On the irrationality measure of certain numbers, Moscow Journal of Combinatorics and Number Theory, 1(4) (2011), 80-90.

Expository papers

1. A. Polyanskii, P. Tarasov,
   Selected examination problems in Discrete Analysis, Matematicheskoe Prosveschenie (2017), 205-209 (in Russian).
2. F. Nilov, A. Polyanskii, N. Polyanskii
   Szemerédi-Trotter theorem, Matematicheskoe Prosveschenie (2017), 186-196 (in Russian).
3. A. Polyanskii,
   Solving problems without using Pick's formula, Kvant 2 (2013), 40-42 (in Russian).
4. 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

1. F. Nilov, A. Polyanskii, N. Polyanskii,
   Point-Line Incidences, (2014), Kaliningrad (bilingual).
2. A. Zaslavskiy, F. Nilov, A. Polyanskii, M. Skopenkov,
   Webs from lines and circles, (2012), Teberda (bilingual).

PhD thesis

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