# Alexandr Polyanskii

Research interests:

Discrete and Convex Geometry, Extremal Combinatorics

alexander.polyanskii@yandex.ru
+7 (926) o7o-15-34
polyanskii.com

## Short Biography

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.

### Appointments

2015 - 2017: Post-Doctoral Fellow in Technion - Israel Institute of Technology, Department of Mathematics, mentor: Rom Pinchasi.
2015 - present: Junior Research Fellow in Institute for Information Transmission Problems, Russian Academy of Sciences, Laboratory 4, head: Robert Adol'fovich Minlos.
2016 - present: Senior Research Fellow at MIPT, Department of Innovation and High Technology, Chair of Discrete Mathematics and Laboratory of Advanced Combinatorics and Networks Applications, head: Andrei Michailovich Raigorodskii
2016 - present: Associate Professor at MIPT, Department of Innovation and High Technology, Chair of Discrete Mathematics and Laboratory of Advanced Combinatorics and Networks Applications, head: Andrei Michailovich Raigorodskii
2013 - 2016: Assistant Professor at MIPT, Department of Innovation and High Technology, Chair of Discrete Mathematics and Laboratory of Advanced Combinatorics and Networks Applications, head: Andrei Michailovich Raigorodskii

### Education

2010 - 2013: PhD in Mathematics, Moscow State University, Department of Mechanics and Mathematics, Chair of Number Theory, scientific adviser: Yury Valentinovich Nesterenko.
Title: "On the irrationality measure of certain numbers".
2005 - 2010: Diploma, Mathematics, Moscow State University, Department of Mechanics and Mathematics, Chair of Number Theory, scientific adviser: Yury Valentinovich Nesterenko.
Title: "On the non-quadraticity measure of $\ln{2}$".

## Publications

### In preparation

1. M. Naszódi, A. Polyanskii,
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,
2. A. Polyanskii,
On almost-equidistant sets - II, The Electronic Journal of Combinatorics, 26 (2) (2019), #P2.14.
3. A. Polyanskii,
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,