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CURRICULUM VITAE Artem Zvavitch CURRICULUM VITAE Artem Zvavitch Date of Birth: September 6, 1974. Marital status: Married + 3. Address: Department of Mathematical Sciences 327 Mathematics and Computer Sciences Bldg Kent State University Kent, OH, 44242 USA Tel: (330)-998-0275 (mobile), (330)-672-3316(office) E-mail: [email protected] WWW: http://www.math.kent.edu/∼zvavitch/ FIELDS OF INTEREST: Analysis. Convex Geometry. Probability. EDUCATION: 2002 Ph.D., Weizmann Institute of Science, Israel. Advisor: Professor Gideon Schechtman. Thesis: Finite dimensional subspaces of Lp, 0 < p < 1. 1996 M.Sc.,Weizmann Institute of Science, Israel. Advisor: Professor Oded Schramm. Thesis: The critical probability for Voronoi percolation. 1994 B.Sc., Moscow State University, Moscow, Russia. Advisor: Professor Valery V. Vavilov. Thesis: Approximation with Continued Fractions. APPOINTMENTS: 2014 - present Professor, Department of Mathematical Sciences, Kent State University. 2007 - 2014 Associate Professor, Department of Mathematical Sciences, Kent State University. 2004 - 2007 Assistant Professor, Department of Mathematical Sciences, Kent State University. 2001 - 2004 Post Doctoral Fellow, University of Missouri-Columbia. AWARDS/RESEARCH GRANTS: 2020-2023 National Science Foundation Grant: Harmonic Analysis in Convex Geometry. Grant number DMS-2000304, Amount $296,100 (with D. Ryabogin). 2019-2022 United States - Israel Binational Science Foundation (BSF) "Convex and integral geometry and its relations to harmonic analysis and representation theory", $158,400, (with S. Alesker and D. Ryabogin). 2019 - 2020 Simons Foundation, Mathematics and Physical Sciences-Collaboration Grants for Mathematicians: "Functional Inequalities in Convex Geometry". Amount $42,000. 1 2 2019-2021 National Science Foundation Grant: "Kent State Informal Analysis Seminar," Grant number DMS-1936215, Amount $30,000 (with P. Gordon, F. Nazarov and D. Ryabogin). 2018 National Science Foundation Grant: "Conference on Recent Advances in Functional Analysis" Grant number DMS-1839058, Amount $25,000, (with D. Ryabogin). 2016-2019 National Science Foundation Grant: Harmonic Analysis in Convex Geometry. Grant number DMS-1101636, Amount $300,000 (with D. Ryabogin). 2016 National Science Foundation Grant: "Conference on Infinite Dimensional Analysis" Grant number DMS-1644871, Amount $36,000, (with D. Ryabogin). 2016 National Science Foundation Grant: "Conference on Functional Analysis." Grant number DMS-1566573, Amount $16,201, (with A. Koldobsky, and P. Pivovarov). 2015 - 2020 Simons Foundation, "Mathematics and Physical Sciences-Collaboration Grants for Mathematicians", Title: "Isomorphic and Isometric problems in Convex Geometry". Amount $35,000. (terminated in 2016, due to NSF grant). 2015 National Science Foundation Grant: "Analytic and probabilistic techniques in modern convex geometry." Grant number DMS-1546974, Amount $40,000, (with G. Paouris, P. Pivovarov and M. Rudelson). 2015 Oberwolfach Research in Pairs Grant. Awarded by Mathematisches Forschungsinstitut Oberwolfach. (with A. Koldobsky, D. Ryabogin and V. Yaskin). 2014-2015 National Science Foundation Grant: "CBMS Conference: Introduction to the theory of valuations on convex sets." Grant number DMS-1444411, Amount $35,000 (joint with B. Jaye, and D. Ryabogin). 2014-2015 National Science Foundation Grant: "Kent State Informal Analysis Seminar," Grant number DMS-1400019, Amount $45,000 (with B. Jaye, F. Nazarov and D. Ryabogin). 2011-2014 National Science Foundation Grant: Harmonic Analysis in Convex Geometry. Grant number DMS-1101636, Amount $375,000 (with D. Ryabogin). 2011 National Science Foundation Grant/CBMS Regional Conference in the Mathematical Sciences-"Ergodic Methods in the Theory of Fractals", Amount $40,000 (with D. Ryabogin). 2007-2010 National Science Foundation/Focused Research Group Grant: Fourier analytic and probabilistic methods in geometric functional analysis and convexity. Grant number DMS-0652684, Amount $150,000. 2005-2008 National Science Foundation Grant in Classical Analysis, Grant Number DMS-0504049, Amount $79,626. 2006 Supplement to grant DMS-0504049 to support a graduate student, Amount $13,000. 2005 National Science Foundation Grant/CBMS Regional Conference in the Mathematical Sciences-"Probabilistic and combinatorial approach in analysis-08/06/2006-08/13/2006", Amount $32,985 (with P. Enflo and A. Tonge). 2005 Summer Research and Creative Activity Appointment, Kent State University (this award ($6,500) was taken back to support University funding, because of the above NSF grants). 1999-2000 Ben and Esther Rosenbloom Foundation Scholarship. 1996-2000 John F. Kennedy Memorial Fund Scholarship. 3 VISITING POSITIONS: May-June 2019 Visiting Professor/Bezout Fellowship, Univ. Paris-Est MLV, France. June-July 2018 Visiting Professor, Univ. Paris-Est MLV, France. Nov.-Dec. 2017 Research Member, MSRI. June 2017 Visiting Professor/Bezout Fellowship, Univ. Paris-Est MLV, France. June-July 2016 Visiting Professor/Bezout Fellowship, Univ. Paris-Est MLV, France. May-June 2013 Visiting Professor, Univ. Paris-Est MLV, France. June-July 2012 Feinberg Foundation Visiting Faculty, Weizmann Institute of Science, Israel. May-June 2011 Visiting Professor, Univ. Paris-Est MLV, France. Jan-Feb 2011 Visiting Fellow, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K. PUBLICATIONS/PREPRINTS: (1) Volume product and Lipschitz-free spaces, (with M. Alexander, M. Fradelizi and L. C. Garcia-Lirola), submitted. (2) Volume of the Minkowski sums of star-shaped sets, (with M. Fradelizi, Z. L´angi),submitted. (3) Equipartitions and Mahler volumes of symmetric convex bodies, (with M. Fradelizi, A. Hubard, M. Meyer and E. Rold´an-Pensado), submit- ted. (4) Measure comparison and distance inequalities for convex bod- ies, (with A. Koldobsky and G. Paouris), Indiana University Mathematics Journal, to appear. (5) Brunn-Minkowski inequalities for the lattice point enumerator, (with D. Iglesias and J. Yepes Nicol´as),Advances in Mathematics, to ap- pear. (6) On Rogers-Shephard type inequalities for general measures, (with D. Alonso-Guti´errez,M. A. Hern´andezCifre, M. Roysdon and J. Yepes Nicol´as),International Mathematics Research Notices, to appear. (7) Wulff shapes and a characterization of simplices via a Bezout type inequality, (with C. Saroglou and I. Soprunov), Advances in Mathematics, 357 (2019), 106789. (8) Polytopes of Maximal Volume Product, (with M. Alexander and M. Fradelizi), Discrete & Computational Geometry, 62 (2019) no 3, 583-600. (9) The convexification effect of Minkowski summation, (with M. Fradelizi, M. Madiman and A. Marsiglietti), EMS Surveys in Mathematical Sciences, 5 (2018), no. 1, 1{64. (10) Estimating volume and surface area of a convex body via its pro- jections or sections, (with A. Koldobsky and C. Saroglou), Studia Math- ematica, 244 (2019), no. 3, 245{264. (11) Distribution functions of sections and projections of convex bod- ies, (with J. Kim and V. Yaskin), Journal of the London Mathematical Society (2) 95 (2017), no. 1, 52{72. 4 (12) Iterations of the projection body operator and a remark on Petty's conjectured projection inequality, (with C. Saroglou), Journal of Func- tional Analysis, 272 (2017), no. 2, 613{630. (13) A discrete version of Koldobsky's slicing inequality, (with M. Alexan- der and M. Henk), Israel J. Math. 222 (2017), no. 1, 261{278. (14) On the Brunn-Minkowski inequality for general measures with ap- plications to new isoperimetric-type inequalities, (with G. Livshyts, A. Marsiglietti and P. Nayar), Trans. Amer. Math. Soc. 369 (2017), no. 12, 8725{8742. (15) Characterization of simplices via the Bezout inequality for mixed volumes, (with C. Saroglou and I. Soprunov), Proc. Amer. Math. Soc., 144 (2016), no. 12, 5333{5340. (16) Bezout Inequality for Mixed volumes, (with I. Soprunov), Interna- tional Mathematics Research Notices, 2016, no. 23, 7230{7252. (17) Do Minkowski averages get progressively more convex? (with M. Fradelizi, M. Madiman, A. Marsiglietti), C. R. Acad. Sci. Paris, Ser. I, 354 (2016) 185-189. (18) An isomorphic version of the Busemann-Petty problem for arbi- trary measures, (with A. Koldobsky), Geometriae Dedicata, 174, Issue 1 (2015), 261-277. (19) Analytic methods in convex geometry, (with D. Ryabogin), IM PAN Lecture Notes, Vol. 2, Warsaw 2014. (20) Stability of the reverse Blaschke-Santal´oinequality for uncondi- tional convex bodies, (with J. Kim), Proc. Amer. Math. Soc. 143 (2015), 1705{1717. (21) A Remark on the Extremal Non-Central Sections of the Unit Cube, (with J. Moody, C. Stone and D. Zach), in \Asymptotic Geometric Analysis", Fields Institute Communications 221-229 68, M. Ludwig et al. (eds.), Springer Science+Business Media, New York 2013. (22) An asymmetric convex body with maximal sections of constant volume, (with F. Nazarov and D. Ryabogin), Journal of the American Mathematical Society, 27 (2014), no. 1, 43{68. (23) Non-uniqueness of convex bodies with prescribed volumes of sec- tions and projections, (with F. Nazarov and D. Ryabogin), Mathe- matika, 59 (2013), 213-221. (24) An application of shadow systems to Mahler's conjecture, (with M. Fradelizi, M. Meyer), Discrete & Computational Geometry, 48 (2012), no. 3, 721-734. (25) Harmonic Analysis and Uniqueness questions in Convex Geom- etry, (with D. Ryabogin and V. Yaskin), Recent Advances in Harmonic Analysis and Applications, In Honor of Konstantin Oskolkov's 65th Birth- day, 2013, edited by Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander Stokolos and Brett D. Wick. (26) A problem of
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