Curriculum Vitae. Education: Employment history:

Size: px

Start display at page:

Download "Curriculum Vitae. Education: Employment history:"

Douglas Stevenson
5 years ago
Views:

1 Curriculum Vitae Konstantin Tikhomirov Department of Mathematics, Princeton University 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: 2017/08 Viterbi Postdoctoral fellow, MSRI, Berkeley. 2017/ Instructor, Princeton University Teaching assistant, University of Alberta, Canada Software developer, CQG Inc. ( Software developer, Mercury Development (

2 16. 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: List of publications and preprints: 1. K. Tikhomirov, Invertibility via distance for non-centered random matrices with continuous distributions. Preprint. 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. Submitted. arxiv: A. Lytova and K. Tikhomirov, The variance of the l n p-norm of the Gaussian vector, and Dvoretzky s theorem. Submitted. arxiv: K. Tikhomirov, Superconcentration, and randomized Dvoretzky s theorem for spaces with 1-unconditional bases, J. Funct. Anal., to appear. arxiv: K. Tikhomirov and P. Youssef, On the norm of a random jointly exchangeable matrix. Preprint. arxiv: K. Tikhomirov and P. Youssef, The spectral gap of dense random regular graphs. Submitted. 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, to appear. 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. Submitted. arxiv: K. Tikhomirov, Sample covariance matrices of heavy-tailed distributions. Int. Math. Res. Notes, to appear. arxiv: 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, to appear. 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:

3 17. 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 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

4 Invited conference talks: Conference Date Title of the talk Stochastic Processes and their 2017/07/24 On invertibility of random matrices. Applications (SPA2017), Moscow 2017/07/28 Foundations of Computational 2017/07/10 The smallest singular value of adjacency Mathematics 2017, Barcelona, 2017/07/19 matrices of random regu- Session on Random Matrices lar digraphs. 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 AMS Fall Central Sectional Meeting, St. Louis, MO Asymptotic Geometric Analysis, Saint-Petersburg, Russia Banach spaces: Geometry and Analysis, Jerusalem, Israel 2017/05/ /05/ /04/ /04/ /07/ /07/ /06/ /06/ /05/ /05/ /10/ /10/ /10/ /10/ /03/ /03/ /10/ /10/ /6/ /6/ /5/ /5/31 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. 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.

5 Invited seminar talks: Seminar Date Title of the talk Probability Seminar, University of Jan 12th, The spectral gap of dense random California in San Diego 2017 regular graphs. Combinatorics and Probability Nov 10th, The spectral gap of dense random Seminar, Yale University 2016 regular graphs. Combinatorics and Probability Jan 28th, Adjacency matrices of random Seminar, Yale University 2016 digraphs: singularity and anticoncentration. Probability Seminar, University of Oct. 5th, The smallest singular value of Washington, WA 2015 random matrices with independent rows. PIMS Probability Seminar, University Sept. The smallest singular value of of British Columbia, BC 30th, 2015 random matrices with indepen- Analysis/Probability Learning Seminar, University of Michigan, MI Functional Analysis Seminar, Université Pierre et Marie Curie, Paris, France Analysis and Probability Seminar, Université Paris-Dauphine, France Analysis Seminar, University of Missouri, Columbia, MO Sept. 24th, 2015 Dec th, Nov. 25th, 2014 Oct. 22nd, 2013 dent entries. On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. The smallest singular value of random matrices with no moment assumptions on entries. The limit of the smallest singular value of random matrices with i.i.d. entries. The Gaussian measure of thin shells and the randomized Dvoretzky s theorem. Invited visits to research institutions (for collaborative work): Institution Month/Year Inviting person 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 Lulea University of Technology, Sweden December, 2014 November, 2009 Profs. L. Maligranda and S.V. Astashkin

6 Awards and Scholarships during postgraduate studies Name Period Value Source of funding (CAD) Faculty of Science Doctoral Dissertation Award 2016 Faculty of Science, University of Alberta Dean s Excellence Award 2015 $9000 Faculty of Science, University of Alberta A. Stewart Memorial Graduate 2015 $5000 University of Alberta Prize PIMS Graduate Scholarship 2015 $10000 Pacific Institute for the Math. Sciences J. Mitchell Graduate Scholarship $4000 Math & Stats Dept, University of Alberta J. Mitchell Research Prize $6000 Math & Stats Dept, University of Alberta J. Mitchell Graduate Scholarship $4000 Math & Stats Dept, University of Alberta UofA Doctoral Recruitment 2011 $10000 University of Alberta Scholarship The Special Scholarship of $1000 Government of Russia the Government of Russia Young Scientist Award $1000 Government of Samara Reg. (Russia)

Curriculum Vitae. Education: Employment history:

Curriculum Vitae. Education: Employment history: Curriculum Vitae Konstantin Tikhomirov School of Mathematics, Georgia Institute of Technology E-mail: ktikhomirov6@gatech.edu Web-page: https://web.math.princeton.edu/ kt12/ Education: 2016 Doctor of Philosophy,