I am one of the organizers of the annual Discrete Geometry and Algebraic Combinatorics Conference on South Padre Island, TX. Check the website of the conference for more details.
Papers
Preprints
Extensions of polynomial plank covering theorems (with Roman Karasev and Alexandr Polyanskii), arXiv:2211.10886
On the size of maximal binary codes with 2, 3, and 4 distances (with Alexander Barg, Wei-Jiun Kao, Ching-Yi Lai, Pin-Chieh Tseng, Wei-Hsuan Yu), arXiv:2210.07496
Moments of isotropic measures and optimal projective codes, arXiv:1904.11159
Stability of optimal spherical codes (with Károly J. Böröczky), arXiv:1711.06012
Journal publications
Covering by planks and avoiding zeros of polynomials (with Roman Karasev and Alexandr Polyanskii), to appear in International Mathematics Research Notices, arXiv:2112.05382
Potential theory with multivariate kernels (with Dmitriy Bilyk, Damir Ferizović, Ryan Matzke, Josiah Park, Oleksandr Vlasiuk), Mathematische Zeitschrift, 301 (3) (2022), pp. 2907-2935, arXiv:2104.03410
Optimal measures for p-frame energies on spheres (with Dmitriy Bilyk, Ryan Matzke, Josiah Park, Oleksandr Vlasiuk), Revista Matemática Iberoamericana, 38 (4) (2022), pp. 1129-1160, arXiv:1908.00885
Domes over curves (with Igor Pak), International Mathematics Research Notices, 18 (2022), pp. 14067-14104, arXiv:2005.02555
Covering by homothets and illuminating convex bodies, Proceedings of the American Mathematical Society, 150 (02) (2022), pp. 779-793, arXiv:1905.10516
Hexagon tilings of the plane that are not edge-to-edge (with Dirk Frettlöh and Zsolt Lángi), Acta Mathematica Hungarica, 164 (2021), pp. 341-
349, arXiv:1911.12752
Energy on spheres and discreteness of minimizing measures (with Dmitriy Bilyk, Ryan Matzke, Josiah Park, Oleksandr Vlasiuk), Journal of Functional Analysis, 280(11) (2021), 108995, arXiv:1908.10354
Repeated minimizers of p-frame energies (with Josiah Park), SIAM Journal on Discrete Mathematics, 34(4) (2020), pp. 2411-2423, arXiv:1901.06096
Contact graphs of ball packings, Journal of Combinatorial Theory, Series B, 145 (2020), pp. 323-340, arXiv:1707.02526
Upper bounds on s-distance sets and equiangular lines (with Wei-Hsuan Yu), Advances in Mathematics, Volume 330 (2018), pp. 810-833, arXiv:1611.09479
Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes (with Károly Böröczky, Károly J. Böröczky, Ágnes Kovács) In: Conder M., Deza A., Weiss A. (eds) Discrete Geometry and Symmetry. GSC 2015. Springer Proceedings in Mathematics & Statistics, vol 234. Springer (Volume dedicated to the 60th anniversary of Professors Károly Bezdek and Egon Schulte), 2018, pp. 31-60, arXiv:1711.00211
The Voronoi functional is maximized by the Delaunay triangulation in the plane (with Herbert Edelsbrunner, Oleg Musin, Anton Nikitenko), Combinatorica, Volume 37, Issue 5 (2017), pp. 887-910, arXiv:1411.6337
Finite two-distance tight frames (with Alexander Barg, Wei-Hsuan Yu, Kasso Okoudjou), Linear Algebra and its Applicatoins, Volume 475 (2015), pp. 163-175, arXiv:1402.3521
On maximum volume simplices in polytopes (with Arseniy Akopyan), Periodica Mathematica Hungarica, Volume 69, Issue 2 (2014), pp. 251-256, doi:10.1007/s10998-014-0051-2
Functionals on triangulations of Delaunay sets (with Nikolay Dolbilin, Herbert Edelsbrunner, Oleg Musin), Moscow Mathematical Journal, Volume 14, Number 3 (2014), pp. 491-504, arXiv:1211.7053
Upper bounds for the perimeter of plane convex bodies (with Filip Morić), Acta Mathematica Hungarica, Volume 142, Issue 2 (2014), pp. 366-383, doi:10.1007/s10474-013-0350-8
Lower bounds for the simplexity of the n-cube, Discrete Mathematics, Volume 312, Issue 24 (2012), pp. 3656-3662, arXiv:0910.4200
Anti-Dürer conjecture for non-convex polytopes (with Alexey Tarasov), Russian Mathematical Surveys, 64:3 (2009), pp. 573-574, doi:10.1070/RM2009v064n03ABEH004623
The lonely vertex problem (with Dirk Frettlöh), Beiträge zur Algebra und Geometrie, Vol. 50 (2009), No. 1, pp. 71-79, arXiv:0710.4870
Proceedings and extended abstracts
Price of SDP relaxations for spherical codes (Designs, Codes, Graphs and Related Areas) (with O.Musin), RIMS Kokyuroku, Volume 1889, 2014, pp. 1-6
Functionals on triangulations of Delaunay sets (with N.Dolbilin,
H.Edelsbrunner, O.Musin), Yaroslavl International Conference Geometry, Topology, and Applications, September 23-27, 2013. Abstracts, Yaroslavl, 2013, 33-37
Optimality of functionals on Delaunay triangulations (with N.Dolbilin, H.Edelsbrunner, O.Musin), Proceedings of the workshop on distance geometry and applications, Manaus, Brazil, 115-118, June 24-27, 2013
On new property of polyhedral tilings, Proc. Ninth International Seminar Discrete Mathematics and its Applications, 377-379, 2007
Triangulations of 2-layers polytopes, Proceedings of Second COE Workshop on Sphere Packings, 90-94, May 30 - June 3, 2005
Rigidity of some classes of cubillages (with A. Garber), Proceedings of Second COE Workshop on Sphere Packings, 86-89, May 30 - June 3, 2005