Curriculum Vitae. Education: Employment history:

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1 Curriculum Vitae Konstantin Tikhomirov School of Mathematics, Georgia Institute of Technology Web-page: kt12/ Education: 2016 Doctor of Philosophy, University of Alberta. Supervisor: Dr. Nicole Tomczak-Jaegermann cosupervisor: Dr. Vlad Yaskin In 2017, awarded the Doctoral Prize of the Canadian Mathematical Society, Candidate of Sciences, Samara State University, Russia (dissertation defended in Voronezh, Russia). Supervisor: Dr. Sergey V. Astashkin Degree in Applied Mathematics and Information Technologies, Samara State University, Russia. Employment history: 2018/08 Assistant Professor, School of Mathematics, GeorgiaTech /08 Viterbi Postdoctoral fellow, MSRI, Berkeley. 2017/ Instructor, Princeton University Teaching assistant, University of Alberta, Canada Software developer, CQG Inc. ( Software developer, Mercury Development (

2 List of publications and preprints: 1. M. Rudelson, K. Tikhomirov, The sparse circular law under minimal assumptions, arxiv: K. Tikhomirov, On the Banach-Mazur distance to cross-polytope, arxiv: A. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann and P. Youssef, The rank of random regular digraphs of constant degree, J. Complexity, to appear. arxiv: A. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann and P. Youssef, Circular law for sparse random regular digraphs, arxiv: A. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann and P. Youssef, Structure of eigenvectors of random regular digraphs, arxiv: G. Livshyts, K. Tikhomirov, Cube is a strict local maximizer for the illumination number. arxiv: K. Tikhomirov, Invertibility via distance for non-centered random matrices with continuous distributions. arxiv: A. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann and P. Youssef, The smallest singular value of a shifted d-regular random square matrix, Probab. Theor. Rel. Fields, to appear. arxiv: A. Lytova and K. Tikhomirov, The variance of the l n p-norm of the Gaussian vector, and Dvoretzky s theorem, St. Petersburg Math. J., to appear. arxiv: K. Tikhomirov, Superconcentration, and randomized Dvoretzky s theorem for spaces with 1-unconditional bases, J. Funct. Anal. 274 (2018), no. 1, arxiv: K. Tikhomirov and P. Youssef, On the norm of a random jointly exchangeable matrix, J. Theor. Probab., to appear. arxiv: K. Tikhomirov and P. Youssef, The spectral gap of dense random regular graphs, Ann. Probab., to appear. arxiv: A. Litvak and K. Tikhomirov, Order statistics of vectors with dependent coordinates, and the Karhunen Loève basis. Ann. Appl. Probab., to appear. arxiv: Ch. Bordenave, P. Caputo, D. Chafaï and K. Tikhomirov, On the spectral radius of a random matrix: an upper bound without fourth moment, Ann. Probab. 46 (2018), no. 4, arxiv: K. Tikhomirov, Illumination of convex bodies with many symmetries, Mathematika, 63 (2017), no. 2, arxiv: G. Livshyts and K. Tikhomirov, Randomized coverings of a convex body with its homothetic copies, and illumination. Proc. Amer. Math. Soc., to appear. arxiv: K. Tikhomirov, Sample covariance matrices of heavy-tailed distributions. Int. Math. Res. Notices, to appear. arxiv:

3 18. A. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann and P. Youssef, Adjacency matrices of random digraphs: singularity and anti-concentration, J. Math. Anal. Appl. 445 (2017), no. 2, MR arxiv: A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, Anticoncentration property for random digraphs and invertibility of their adjacency matrices, C. R. Math. Acad. Sci. Paris 354 (2016), no. 2, MR D. Chafaï and K. Tikhomirov, On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. Probab. Theory Relat. Fields 170 (2018), no. 3-4, arxiv: E. Rebrova and K. Tikhomirov, Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries. Israel J. Math., to appear. arxiv: K. Tikhomirov and P. Youssef, When does a discrete-time random walk in R n absorb the origin into its convex hull?, Ann. Probab. 45 (2017), no. 2, MR arxiv: S. V. Astashkin, G. P. Curbera and K. E. Tikhomirov, On the existence of RUC systems in rearrangement invariant spaces, Math. Nachr. 289 (2016), no. 2-3, MR K. Tikhomirov, The limit of the smallest singular value of random matrices with i.i.d. entries, Adv. Math. 284 (2015), MR K. E. Tikhomirov, The smallest singular value of random rectangular matrices with no moment assumptions on entries, Israel J. Math. 212 (2016), no. 1, MR K. E. Tikhomirov, On the distance of polytopes with few vertices to the Euclidean ball, Discrete Comput. Geom. 53 (2015), no. 1, MR K. E. Tikhomirov, The Randomized Dvoretzky s theorem in l n and the χ-distribution, Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics, 2116 (2014), S. V. Astashkin, L. Maligranda and K. E. Tikhomirov, New examples of K-monotone weighted Banach couples, Studia Math. 218 (2013), no. 1, MR K. E. Tikhomirov, Almost Euclidean sections in symmetric spaces and concentration of order statistics, J. Funct. Anal. 265 (2013), no. 9, MR S. V. Astashkin and K. E. Tikhomirov, A probabilistic version of Rosenthal s inequality, Proc. Amer. Math. Soc. 141 (2013), no. 10, MR S. V. Astashkin and K. E. Tikhomirov, On some probabilistic analogues of the Rosenthal inequality. (Russian) Mat. Zametki 90 (2011), no. 5, ; translation in Math. Notes 90 (2011), no. 5-6, MR K. E. Tikhomirov, A strengthening of a theorem of Marcinkiewicz, in Marcinkiewicz centenary volume, , Banach Center Publ., 95, Polish Acad. Sci. Inst. Math., Warsaw, MR

4 33. K. E. Tikhomirov, K-monotone weighted couples of Banach lattices. (Russian) Sibirsk. Mat. Zh. 52 (2011), no. 1, ; translation in Sib. Math. J. 52 (2011), no. 1, MR S. V. Astashkin and K. E. Tikhomirov, On stably K-monotone Banach couples. (Russian) Funktsional. Anal. i Prilozhen. 44 (2010), no. 3, 65 69; translation in Funct. Anal. Appl. 44 (2010), no. 3, MR S. V. Astashkin and K. E. Tikhomirov, On stability of K-monotonicity of Banach couples, Rev. Mat. Complut. 23 (2010), no. 1, MR

5 Invited talks at conferences and workshops: Conference/Workshop Date Title of the talk Quantitative Linear Algebra Culminating Workshop at Lake Arrowhead, 2018/06/ /06/15 On the Banach Mazur distance to the cube. CA Simons Algorithms and Geome- 2018/05/18 Circular law for very sparse non- try Annual Meeting, New York Workshop on Random Matrices and Free Probability Theory, IPAM, UCLA Princeton Columbia Probability day, New York AMS Special Session on Probability in Convexity and Convexity in Probability, Ohio Workshop on Geometric functional analysis and applications, MSRI, Berkeley Stochastic Processes and their Applications (SPA2017), Moscow Foundations of Computational Mathematics 2017, Barcelona, Session on Random Matrices Recent Advances in Discrete and Analytic Aspects of Convexity, BIRS, Canada ProbabLY ON Random Matrices, Lyon, France Workshop in Analysis and Probability, Texas A&M University, Concentration Week on Geometric Functional Analysis 2016 CMS Summer Meeting, Edmonton, Canada Conference on Geometric Functional Analysis in Honour of Nicole Tomczak-Jaegermann, Edmonton, Canada Convexity, probability and discrete structures, a geometric view point, Marne-la-Vallée, France AMS Fall Western Sectional Meeting, San Francisco, CA Geometric tomography and Harmonic Analysis, BIRS, Canada 2018/05/ /05/18 Hermitian random matrices. Circular law for very sparse non- Hermitian random matrices. 2018/04/13 On the normal vector to a random hyperplane. 2018/03/16 The condition number of random 2018/03/18 square matrices. 2017/11/ /11/ /07/ /07/ /07/ /07/ /05/ /05/ /04/ /04/ /07/ /07/ /06/ /06/ /05/ /05/ /10/ /10/ /10/ /10/ /03/ /03/14 Invertibility via distance for random matrices with continuous distributions. On invertibility of random matrices. The smallest singular value of adjacency matrices of random regular digraphs. Superconcentration, and randomized Dvoretzky s theorem for spaces with 1-unconditional bases. Sample covariance matrices of heavy-tailed distributions. On the spectral radius of a random matrix with i.i.d. entries. Randomized coverings by homothetic copies, and illumination. Sample covariance matrices of heavy-tailed distributions. The smallest singular value of random matrices with heavytailed entries. The limit of the smallest singular value of random matrices with i.i.d. entries. On the distance of polytopes with few vertices to the Euclidean ball.

6 AMS Fall Central Sectional Meeting, St. Louis, MO Asymptotic Geometric Analysis, Saint-Petersburg, Russia Banach spaces: Geometry and Analysis, Jerusalem, Israel 2013/10/ /10/ /6/ /6/ /5/ /5/31 The χ-distribution and the randomized Dvoretzky s theorem in l n. Random vectors with i.i.d. coordinates: concentration and Dvoretzky s theorem. Almost Euclidean sections in symmetric spaces. Visits to research institutions: Institution Month/Year Inviting person IPAM, UCLA, Los Angeles May June, 2018 Organizers of the Quantitative Linear Algebra program University of Alberta, Canada May June, 2017 Profs. A. Litvak and N. Tomczak- Jaegermann Université Paris-Diderot, France March, 2017 Prof. P. Youssef Georgia Institute of Technology, GA November, 2015 Prof. G. Livshyts Université Paris-Dauphine, October, 2015 Prof. D. Chafaï France University of Michigan, MI September, 2015 Prof. M. Rudelson Université Paris-Dauphine, July, 2015 Prof. D. Chafaï France Université Paris-Est Marne-la- November Prof. A. Pajor Vallée, France December, 2014 Lulea University of Technology, November, 2009 Profs. L. Maligranda Sweden and S.V. Astashkin