Artem Zvavitch
Department of Mathematical Sciences
327 Mathematics and Computer Sciences Bldg
Kent State University Kent, OH, 44242 USA
Phone: (330)-672-3316
e-mail: azvavitc@kent.edu
URL: http://www.math.kent.edu/~zvavitch

Citizenship

Israel, Russia, USA.

Born

06.09.1974, Moscow, Russia

Marital Status

married + 3.

Wife: Tatiana Zvavitch

Children: daughters Polina (born June 22, 1994), Maya (born August 5, 1999) and Anna (born April 1, 2011).

Fields of interest:

• Convex Geometry
• Geometric Functional Analysis
• and applications of Probability and Harmonic Analysis to the above subjects.

Education:

• 1996-2001: Ph.D. student of Gideon Schechtman, Weizmann Institute of Science, Department of Mathematics, (Rehovot, Israel).
• 1994-1996: M.Sc. student of Oded Schramm, Weizmann Institute of Science, Department of Mathematics, (Rehovot, Israel).
• 1991-1994: B.Sc. student, Moscow State University, Mechanics and Mathematics Department, (Moscow, Russia).
• 1991: Graduated Moscow School # 67, (Moscow, USSR).

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, Mathematics Department, University of Missouri-Columbia.

Visiting Positions:

• September 2023 - December, 2023 Visting Professor, ICERM, Brown University.
• September 2021 - July, 2022 Visiting Professor Universite Gustave Eiffel, France.
• May-June, 2019 Visiting Professor Universite Paris-Est Marne-la-Valle, France.
• June, 2018 Visiting Professor Universite Paris-Est Marne-la-Valle, France.
• June, 2017 Visiting Professor/Bezout Fellowship Universite Paris-Est Marne-la-Valle, France.
• June-July, 2016 Visiting Professor/Bezout Fellowship Universite Paris-Est Marne-la-Valle, France.
• May-June, 2013 Visiting Professor, Universite Paris-Est Marne-la-Valle, France.
• June-July, 2012 Feinberg Foundation Visiting Faculty, Weizmann Institute of Science, Israel.
• May-June, 2011 Visiting Professor, Universite Paris-Est Marne-la-Valle, France.
• Jan-Feb, 2011 Visiting Fellow, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K..

Awards/Research Grants:

• 2023-2026 National Science Foundation Grant: Harmonic Analysis in Convex Geometry. Grant number DMS-2247771, Amount $365,144 (with D. Ryabogin).
• 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 - 2023 Simons Foundation, "Mathematics and Physical Sciences-Collaboration Grants for Mathematicians", Title: "Functional Inequalities in Convex Geometry". $42,000.
• 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" Project Title: "Isomorphic and Isometric problems in Convex Geometry". Amount $35,000.
• 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 (joint with Benjamin Jaye, Fedor Nazarov and Dmitry Ryabogin).
• 2011-2014 Harmonic Analysis in Convex Geometry. National Science Foundation Grant DMS-1101636, Amount 375,000 (joint with Dmitry Ryabogin).
• 2011 NSF/CBMS Regional Conference in the Mathematical Sciences- "Ergodic Methods in the Theory of Fractals", Amount 40,000 (joint with Dmitry Ryabogin).
• 2007-2010 FRG: Collaborative Research: Fourier analytic and probabilistic methods in geometric functional analysis and convexity. Grant number DMS-0652684, Amount 150,000.
• 2005-2008 Fourier Analytic Approach to the Geometric Tomography. National Science Foundation Grant DMS-0504049, Amount 79,626.
• 2006-2008 Supplement to the above NSF DMS-0504049 grant for graduate student support, Amount 13,000.
• 2006 NSF/CBMS Regional Conference in the Mathematical Sciences-"Probabilistic and combinatorial approach in analysis"-08/06/2006-08/13/2006, Amount 32,985 (joint with Per Enflo and Andrew Tonge).
• 2005 Summer Research and Creative Activity Appointment (Kent State).
• 1999-2000 Ben and Esther Rosenbloom Foundation Scholarship.
• 1996-2000 John F. Kennedy Memorial Fund Scholarship.

Graduate Students:

• Malak Lafi (Ph.d), 2023 - present.
• Auttawich Manui (Ph.d), 2023 - present.
• Naif Alanazi (M.Sc), 2023 - present.
• Dylan Langharst (Ph.d), 2020-2023. (co-advised with Matthieu Fradelizi), (currently Postdoctoral scholar, Sorbonne University).
• Michael Roysdon (Ph.d), 2017-2020 (currently Postdoctoral scholar, ICERM, Brown University).
• Matthew Alexander (Ph.d.) 2013 - 2017 (co-advised with Matthieu Fradelizi), (curently at Western Governors University).
• Galyna Livshyts (Ph.d), 2011 - Spring 2015 (curently an Associate Professor, Georgia Institute of Technology).
• Jeffrey Schlaerth (Ph.d), 2005-2014.
• Jaegil Kim (Ph.d), 2008 -2013 (currently Assistant Professor, Gwangju Institute of Science and Technology, South Korea).
• Wei Bai (M.Sc), 2013-2014.
• Yuanyuan Peng (M.Sc), 2014- 2015.
• Andriy Savka, (M.Sc), 2016- 2019 (curently Predictive Analyst at National Interstate Insurance).
• Norah Almuraysil, (M.Sc), 2016-2017.
• Trista Mullin, (M.Sc), 2016-2018.

Postdoctoral Fellows

• Armen Vagharshakyan, 2013 - 2015.
• Christos Saroglou, 2015 -2018, (currently an Associate Professor at University of Ioannina, Greece).
• Ning Zhang, 2018, (currently an Associate Professor at Huazhong University of Science and Technology, China).
• Dan Florentin, 2016 -2019, (currently an Assistant Professor at Bar-Ilan University).
• Giorgos Chasapis, 2018 - 2020 (currently an Аssistant Professor at University of Ioannina, Greece).
• Luis Carlos Garcia Lirola, 2018 - 2020 (currently an Assistant Professor at University of Zaragoza, Spain).

Publications/Preprints:

• "Measure comparison problems for dilations of convex bodies." (with Malak Lafi), submitted.
• "Weighted Brunn-Minkowski Theory II: Inequalities for Mixed Measures and Applications." (with Matthieu Fradelizi, Dylan Langharst and Mokshay Madiman), submitted.
• "Weighted Brunn-Minkowski Theory I, On Weighted Surface Area Measures." (with Matthieu Fradelizi, Dylan Langharst and Mokshay Madiman), J. Math. Anal. Appl. 529 (2024), no. 2, Paper No. 127519, 30 pp.
• " Comparison Problems for Radon Transforms." (with Alexander Koldobsky and Michael Roysdon ), Advances in Math., 434 (2023), Paper No. 109336, 32 pp.
• "On the volume of the Minkowski sum of zonoids." (with Matthieu Fradelizi, Mokshay Madiman and Mathieu Meyer), Journal of Functional Analysis, 286 (2024), no. 3, Paper No. 110247, 41 pp.
• "Sumset estimates in convex geometry." (with Matthieu Fradelizi and Mokshay Madiman), submitted.
• "General Measure Extensions of Projection Bodies." (with Dylan Langharst, Michael Roysdon), Proc. Lond. Math. Soc. (3) 125 (2022), no. 5, 1083–1129.
• "Inequalities for the Radon transform on convex sets." (with Apostolos Giannopoulos and Alexander Koldobsky ), Int. Math. Res. Not. IMRN 2022, no. 18, 13984–14007.
• "Measure comparison and distance inequalities for convex bodies." (with Alexander Koldobsky and Grigoris Paouris), Indiana Univ. Math. J., 71 (2022), no. 1, 391–407.
• "Brunn-Minkowski inequalities for the lattice point enumerator." (with David Iglesias and Jesús Yepes Nicolás), Advances in Math., 370 (2020), 107193, 25 pp.
• "Volume product and Lipschitz-free spaces." (with Matthew Alexander, Matthieu Fradelizi and Luis C. García-Lirola), Journal of Functional Analysis, 280 (2021), no. 4, Paper No. 108849, 38 pp.
• "Volume of the Minkowski sums of star-shaped sets." (with Matthieu Fradelizi, Zsolt Lángi), Proc. Amer. Math. Soc. Ser. B 9 (2022), 358–372.
• "Equipartitions and Mahler volumes of symmetric convex bodies." (with Matthieu Fradelizi, Alfredo Hubard, Mathieu Meyer and Edgardo Roldán-Pensado ), Amer. J. Math. 144 (2022), no. 5, 1201–1219.
• "On Rogers-Shephard type inequalities for general measures." (with David Alonso-Gutiérrez, María A. Hernández Cifre, Michael Roysdon and Jesús Yepes Nicolás), International Mathematics Research Notices, (2021), no. 10, 7224–7261.
• "Wulff shapes and a characterization of simplices via a Bezout type inequality." (with Christos Saroglou and Ivan Soprunov), Advances in Math., 357 (2019), 106789.
• "Polytopes of Maximal Volume Product," (with Matthew Alexander and Matthieu Fradelizi), Discrete and Computational Geometry, (2019), no. 3, 583–600.
• "The convexification effect of Minkowski summation." (with Matthieu Fradelizi, Mokshay Madiman and Arnaud Marsiglietti), EMS Surveys in Mathematical Sciences, 5 (2018), no. 1-2, 1–64.
• "Estimating volume and surface area of a convex body via its projections or sections," (with Alexander Koldobsky and Christos Saroglou), Studia Math, 244 (2019), no. 3, 245–264.
• "Distribution functions of sections and projections of convex bodies," (with Jaegil Kim and Vladyslav Yaskin), Journal of the London Mathematical Society (2), 95 (2017), no. 1, 52–72.
• "Characterization of simplices via the Bezout inequality for mixed volumes." (with Christos Saroglou and Ivan Soprunov), Proceedings of the American Mathematical Society, 144 (2016), no. 12, 5333–5340.
• "Iterations of the projection body operator and a remark on Petty's conjectured projection inequality," (with Christos Saroglou), Journal of Functional Analysis, 272 (2017), no. 2, 613–630.
• "Do Minkowski averages get progressively more convex?" (with Matthieu Fradelizi Mokshay Madiman and Arnaud Marsiglietti), C. R. Acad. Sci. Paris, Ser. I, 354 (2016) 185-189.
• "A discrete version of Koldobsky's slicing inequality," (with Matthiew Alexander and Marthin Henk), Israel Journal of Mathematics, 222(1), (2017), 261–278.
• "Bezout Inequality for Mixed volumes," (with Ivan Soprunov), International Mathematics Research Notices, 2016, no. 23, 7230–7252.
• "On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalitiess," (with Galyna Livshyts, Arnaud Marsiglietti and Piotr Nayar), Trans. Amer. Math. Soc., 369 (2017), no. 12, 8725–8742.
• An isomorphic version of the Busemann-Petty problem for arbitrary measures. (with Alexander Koldobsky), Geometriae Dedicata, Volume 174, Issue 1 (2015), 261-277.
• Stability of the reverse Blaschke-Santalo inequality for unconditional convex bodies. (with Jaegil Kim), Proceedings of the American Mathematical Society, 143 (2015), 1705-1717.
• A Remark on the Extremal Non-Central Sections of the Unit Cube. (with James Moody, Corey Stone and David Zach), "Asymptotic Geometric Analysis", Fields Institute Communications 221-229, 68, M. Ludwig et al. (eds.), Springer Science+Business Media, New York 2013.
• An asymmetric convex body with maximal sections of constant volume. (with Fedor Nazarov and Dmitry Ryabogin), Journal of American Mathematical Society, 27 (2014), no. 1, 43–68.
• Non-uniqueness of convex bodies with prescribed volumes of sections and projections. (with Fedor Nazarov and Dmitry Ryabogin), Mathematika, 59 (2013), 213-221.
• An application of shadow systems to Mahler's conjecture. (with Matthieu Fradelizi, Mathieu Meyer). Discrete and Computational Geometry, 48 (2012), no. 3, 721-734.
• A problem of Klee on inner section functions of convex body. (with Richar J. Gardner, Dmitry Ryabogin, Vladyslav Yaskin), J. Differential Geometry, 91, (2012), 261-279.
• The geometry of p-convex intersection bodies. (with Jaegil Kim and Vladyslav Yaskin), Advances in Math., 226, (2011), no 6, 5320-5337.
• The unit ball is an attractor of the intersection body operator. (with Alexander Fish, Fedor Nazarov and Dmitry Ryabogin), Advances in Math., 226 (2011), no 3, 26290-2642.
• A remark on the Mahler conjecture: local minimality of the unit cube. (with Fedor Nazarov, Fedor Petrov and Dmitry Ryabogin), Duke Mathematical Journal, 154, (2010), no 3, 419-430.
• Gaussian Brunn-Minkowski-type inequalities. (with Richar J. Gardner), Trans. Amer. Math. Soc., 360. (2010), 10, 5333-5353.
• "On the local equatorial characterization of zonoids and intersection bodies" (with Fedor Nazarov and Dmitry Ryabogin), Advances in Math., 217 (2008), no. 3, 1368--1380.
• "Gaussian measure of sections of dilates and shifts of convex bodies," Advances in Applied Mathematics, 41/2 (2008), 247-254
• "The Busemann-Petty problem for arbitrary measures." Math. Ann. 331, (2005), 867-887.
• "Reconstruction of convex bodies of revolution from the areas of their shadows", (with Dmitry Ryabogin), Archiv der Mathematik, 5 (2004), 450-460.
• "An isomorphic version of the Busemann-Petty problem for Gaussian Measure"".ps", GAFA Seminar Notes 2002-2003 Lecture Notes in Math, Vol. 1850, (2004), 277-283.
• "Gaussian Measure of Sections of convex bodies. Advances in Math. 188/1 (2004), 124-136.
• "Fourier transform and Firey projections of convex bodies", (with Dmitry Ryabogin) Indiana Univ. Math. J. 53 (2004), 667-682.
• "Projections of convex bodies and the Fourier transform," (with Alexander Koldobsky and Dmitry Ryabogin), Israel J. Math. 139 (2004), 361-380.
• "Supremum of process in terms of trees", (with Olivier Guedon), GAFA Seminar Notes 2001-200 , Lecture Notes in Math, Vol. 1807, (2003), 136-148.
• "A remark on $p$-summing norms of operator", "Trends in Banach spaces and operator theory", Contemporary Mathematics 321 (Editor A. Kaminska), (2003).
• "More on embedding subspaces of $L_p$ into $\ell^N_p$, $0< p < 1$", GAFA Seminar Notes 1996-2000, Lecture Notes in Math, Vol. 1745, pp.269-281.
• "Isomorphic embedding of $\ell^n_p$ , $1< p < 2$, into $\ell^{(1+\varepsilon)n}_1$", (with Assaf Naor), Israel J. Math. 122 (2001), 371--380.
• "Embedding subspaces of $L_p$ into $\ell^N_p$, $0< p < 1$", (with Gideon Schechtman), Math. Nachr. 227 (2001), 133--142.

Lecture notes and Surveys:

• "Inequalities for sections and projections of convex bodies." (with Apostolos Giannopoulos and Alexander Koldobsky), Adv. Anal. Geom., 9 De Gruyter, Berlin, 2023, 223–256.
• "Volume Product." (with Matthieu Fradelizi, and Mathieu Meyer), Adv. Anal. Geom., 9 De Gruyter, Berlin, 2023, 163–222.Harmonic Analysis and Convexity (De Gruyter), 163-223, (2023).
• "Inequalities for sections and projections of convex bodies." (with Apostolos Giannopoulos and Alexander Koldobsky), to Harmonic Analysis and Convexity (De Gruyter), 223-257, (2023).
• "Volume Product." (with Matthieu Fradelizi, and Mathieu Meyer), to Harmonic Analysis and Convexity (De Gruyter), 163-223, (2023).
• Analytic methods in convex geometry. (with Dmitry Ryabogin), Lectures given at the Polish Academy of Sciences 21 - 26, November 2011, IM PAN Lecture Notes, Vol. 2, Warsaw 2014.
• Harmonic Analysis and Uniqueness questions in Convex Geometry. (with Dmitry Ryabogin and Vladyslav Yaskin), to appear in Advances in Classic and Applied Analysis, on the occasion of Konstantin Oskolkov's 65th Birthday.
• Unified Fourier analytic approach to the volume of projections and sections of convex bodies; (with Alexander Koldobsky and Dmitry Ryabogin). Fourier Analysis and Convexity, (Editors: L. Brandolini, L. Cozani, A. Iosevich and G. Travaglini), Birkhauser 2004, 119-131.

Thesis:

• "The critical probability for Voronoi percolation," M.Sc. thesis, Weizmann Institute of Science (1996).
  
• "Finite dimensional subspaces of $L_p$, $0 < p < \infty$" ".dvi," Ph.D. thesis, Weizmann Institute of Science (2001).

Talks:

• "Workshop in Analysis", Georgia Tech, 12/2023.
• "Analysis and PDEs on Fractals", University of Pittsburgh, 10/2023.
• "Geometric Inequalities, Convexity and Probability" workshop at the University of Granada (IMAG), 06/2023.
• "61 Probability Encounters", In honor of Sergey Bobkov, 06/2023.
• "Probability and Analysis Webinar," 02/2023 (online).
• Series of three lectures during "Advanced Functional Analysis and its Applications," Indian Institute of Technology Hyderabad, 12/2022 (online).
• "Analysis Seminar", Brown University, 09/2022.
• Series of three lectures on duality, ICERM, Brown University, 09/2022.
• Seminar of the Group of Convex and Differential Geometry, University of Murcia, Spain, 07/2022.
• The international online confrerence "Current Trends in Abstract and Applied Analysis," 05/2022.
• Geometry Seminar, Renyi Institute, Budapest, Hungary, 04/2022.
• Geometric Probability and Valuation Theory, Vienna, Austria, 04/2022.
• "Analysis Seminar," Institut Henri Poincar\'e, Paris, France, 02/2022.
• "Convex Geometry and its Applications," Oberwolfach, Germany 12/2021.
• "Rubio de Francia Seminar," University of Zaragoza, Spain, 11/2021.
• "Interaction Between Partial Differential Equations and Convex Geometry (Online)," BIRS, 10/2021.
• "Geometry Seminar," Institut Henri Poincar\'e, Paris, France 10/2021.
• "Convex bodies in real geometry," minisymposium SIAM AG21, 8/2021.
• Conference Current trends in Convex Geometry, 5/2021.
• "Analysis Seminar" (online version), Washington University in St. Louis, 2/2021.
• "Analysis Seminar" (online version), University of Rochester, 5/2020.
• Series of four lectures during "The 15th ILJU School of Mathematics: Banach Spaces and Related Topics", Seoul, Republic of Korea, 1/2020.
• "Analysis in Missouri: a Midwestern Symposium", University of Missouri, 9/2019.
• "Asymptotic Geometric Analysis IV" in Euler International Mathematical Institute, Saint-Petersburg, Russia, 7/2019.
• Seminaire d'Analyse Fonctionnelle, University Paris 6, France, 6/2019.
• Seminar, University Paris-Est Marne-La-Valle, France, 6/2019.
• "New perspectives on Convex Geometry" in Castro Urdiales, Spain, 9/2018.
• Analysis Seminar, Université Paul-Sabatier, France, 7/2018.
• Séminaire d’Analyse Fonctionnelle, University Paris 6, France, 7/2018.
• Seminar, University Paris-Est Marne-La-Valle, France, 6/2018.
• "Emerging Trends in Geometric Functional Analysis," BIRS, Canada, 3/2018.
• AMS special session ''Probability in Convexity and Convexity in Probability'', 3/2018.
• ''Geometric functional analysis and applications," MSRI, 11/2017.
• ''Convex and Integral Geometry 2017," Goethe University Frankfurt, 9/2017.
• "Workshop on Information-Theoretic Inequalities,'' University of Delaware,4/2017.
• "Analysis/Probability Learning Seminar," University of Michigan, 3/2017.
• "Analysis Seminar," Gergia Tech, 3/2017.
• ''Convex and discrete geometry'' day at University Paris-Est Marne-La-Valle, France, 5/2016.
• AMS meeting, Fargo, ND 4/2016.
• "Asymptotic Geometric Analysis'', Oberwolfach, Germany 2/2016.
• "Convex Geometry and its Applications'', Oberwolfach, Germany 12/2015.
• "Convexity, Probability and Discrete Structures, a Geometric Viewpoint'', University Paris-Est Marne-La-Valle, France, 10/2015.
• Colloquium, Temple University, 9/2015.
• "Affine Geometric Analysis", (BIRS), Casa Matematica Oaxaca (CMO), Mexico, 9/2015.
• Analysis Seminar, University of Valencia, Spain. July, 2015.
• Analysis Seminar, University of Akron, 11/2014.
• Analysis Seminar, University of Florence, Italy, 7/2014.
• Second Joint Meeting of AMS and the Israel Mathematical Union, Tel Aviv, Israel, 6/2014.
• Seminar, "High Dimensional After Noon", Weizmann Institute of Science, Israel, 6/2014.
• Colloquium, Polytechnic School of Engineering, NYU, New York, NY, 04/2014.
• AMS meeting, St. Louis, MO, 10/2013.
• PDE's and Applied math seminar, University of Akron.
• Colloquium, Bowling Green State University, 9/2013.
• "Convex Geometry" at the CIEM in Castro Urdiales, Spain, 9/2013.
• "Asymptotic Geometric Analysis II", Euler International Mathematical Institute, Saint-Petersburg, Russia, 6/2013.
• Analysis Seminar, Universite Paris-Est Marne La Vallee, 5/2013.
• "Southeast Geometry Seminar" (SGS) at University of Alabama at Birmingham, 5/2013.
• Colloquium, University of Missouri-Columbia, 4/2013.
• "Interplay of convex geometry and Banach space theory", BIRS, Canada, 3/2013.
• Analysis Seminar, University of Michigan, 2/2013.
• "Invariants in convex geometry and Banach space theory", Palo Alto, California, August, 2012.
• Geometric Functional Analysis and Probability Seminar, Weizmann Institute of Science, Israel, July, 2012.
• Colloquium, Ben Gurion University, Israle, June, 2012.
• Workshop on "Convexity and Asymptotic Geometric Analysis", The Centre de recherches mathematiques (CRM) of Montreal, Canada, April, 2012.
• Special lectures for PhD students, Polish Academy of Sciences, Warszawa, Poland, 21 - 26, November 2011.
• Conference "Convex Geometry, Analytic Aspects", Cortona, Italy, June 15, 2011.
• Conference "Integration, Vector Measures and Related Topics IV", Murcia, Spain, March 2, 2011.
• Discrete Analysis Program, Isaac Newton Institute for Mathematical Sciences, Cambridge UK, February 15, 2011.
• Workshop on Asymptotic Geometric Analysis and Convexity, Fields Institute, Toronto, ON, September 13 - 17, 2010.
• Probability and Geometry in High Dimensions, Universite Paris-Est Marne-la-Valle, France, May, 2010.
• Volume Inequalities, Banf, Banf International Research Station, Canada, March, 2010.
• Convex Geometry and its Applications, Oberwolfach, Germany, December 2009.
• Analysis Seminar, Technion - Israel Institute of Technology, 2009.
• Advances in Stochastic Inequalities and their Applications. Banf International Research Station, Canada June, 2009.
• Colloquium, The University of Akron, February, 2009
• Functional Analysis Seminar, University of Alberta, January, 2009.
• Affine Convex Geometric Analysis. Banf International Research Station, Canada, January, 2009.
• AMS meeting, Middletown, CT, October, 2008.
• AMS meeting, Vancouver, Canada. October, 2008.
• Analysis Seminar, University of Valencia, Spain. July, 2008
• Analysis Seminar, Univeridad Complutense Madrid, Madrid, Spain, June, 2008.
• Colloquium, Univeridad Complutense Madrid, Madrid, Spain, June 2008.
• Karcher Colloquium, University of Oklahoma, April, 2008.
• PME Colloquium, Youngstown University, April, 2008.
• Miniconference on Classical Convex Geometry, University of Missouri-Columbia, March, 2008.
• Analysis Seminar, University of Wisconsin-Madison, February, 2008.
• Analysis Seminar, Georgia State University, December, 2007.
• Concentration Week on "probability Inequalities with Applications to High Dimensional Phenomena", College Station, Texas, August, 2007.
• Workshop in Analysis and Probability, College Station, Texas, August, 2007.
• Colloquium, University of Pittsburgh. February 2007.
• Colloquium, University of Oregon. January 2007.
• Colloquium, University of South Carolina. January 2007.
• Workshop on Harmonic and Geometric Analysis, The Louisiana State University, Baton Rouge, 1/2007,
• Konvexgeometrie, Oberwolfach, December 2006.
• Colloquium, University of Alabama at Birmingham, 12/2006.
• Analysis Seminar, Michigan State University, Ocober 2006.
• Colloquium, Univeridad Complutense Madrid, Madrid, Spain 2006.
• Banach spaces and their applications in Analysis a conference in honor of Nigel Kalton's 60th birthday, Miami University, Ohio, May 2006 (upcoming).
• Colloquium, Polytechnic University, Brooklyn, NY, April, 2006.
• AMS Special Session on Recent Trends in Convex and Discrete Geometry, San Antonio, TX, January 2006
• Conference on "Contemporary Ramifications of Banach Space Theory", Institute for Advanced Studies of the Hebrew University of Jerusalem. June 2005.
• Colloquium, Polytechnic University, Brooklyn, NY, April 2005.
• Colloquium, University of Missouri-Columbia, March 2005.
• Southeast Geometry Conference, University of South Carolina, March 2005.
• Analysis Seminar, McGill University, January 2005.
• AMS Special Special Session on Trends in Operator Theory and Banach Spaces, Pittsburgh, PA, November, 2004.
• Invited lecture, Workshop on "Geometric Tomography", Alicante, Spain, October, 2004.
• Conference on Gaussian Measure and Geometric Convexity, Snowbird, Utah, July, 2004.
• AMS Special Session on Analytic Convex Geometry, Lawrenceville, NJ, April 2004.
• Colloquium, Kent State University, March 2004.
• Colloquium, Western Washington University, February 2004.
• Colloquium, University of Maine, February 2004.
• Colloquium, University of Alberta, January 2004.
• Functional Analysis Seminar, University of Alberta, January 2004.
• Colloquium, Case Western Reserve University, November 2003.
• Karcher Colloquium, University of Oklahoma, October 2003.
• Prairie Analysis Seminar, Kansas State University, October 2003.
• SUMIRFAS 2003, College Station, Texas, August, 2003.
• Workshop in Linear Analysis and Probability, College Station, Texas, July, 2003.
• Colloquium, University of South Florida, Tampa, March, 2003.
• AMS Special Session on Banach Space Theory and Convex Geometry, Baltimore, January 2003.
• AMS Meeting, Northeastern University, Boston, October, 2002.
• Conference on Convexity and Asymptotic Theory of Normed Spaces, PIMS at the University of British Columbia, July 2002.
• Trends in Banach Space, The University of Memphis, November 2001.
• Banach Space Seminar, University of Missouri-Columbia, October 2001.
• Functional Analysis Seminar, University Paris 6, December 14, 2000.
• Functional Analysis Seminar, University de Marne-La-Valle, Paris, December 5, 2000.
• SUMIRFAS 2000, College Station, Texas, August 12, 2000.
• Workshop in Linear Analysis and Probability, College Station, Texas, July 19, 2000.
• International Workshop on Geometric Convex Analysis, Technion, Israel, March 19, 2000.
• Functional Analysis Seminar, Technion, Israel, December 16, 1999.
• Israel Mathematical Union meeting, University of Haifa, Israel May, 1999.

Conference Organized

• "Harmonic Analysis and Convexity," BIRS, Banff, Canada, 11/2023 (with A. Koldobsky, D. Ryabogin, K. Tatarko and V. Yaskin).
• "Harmonic Analysis and Convexity," ICERM, Sep 7 - Dec 9, 2022 (with Javier Gomez Serrano, Irina Holmes, Bo'az Klartag, Alexander Koldobskiy, Sergei Treil and Alexander Volberg).
• Online Asymptotic Geometric Analysis Seminar, Spring 2020- Fall 2020 (with G. Livshyts, L. Rotem, D. Ryabogin and K. Tikhomirov).
• ``Geometric Tomography", BIRS, Banff, Canada, 2/2020 (with A. Koldobsky, D. Ryabogin and V. Yaskin).
• Informal Analysis Seminar, April, 2019 (with Kent State Analysis Group).
• AMS special section "Probabilistic and geometric tools in high-dimension", University of Florida, November 2-3, 2019 (with A. Marsiglietti).
• Informal Analysis Seminar, April, 2019 (with Kent State Analysis Group).
• ''Conference on Recent Advances in Functional Analysis, dedicated to the memory of Joe Diestel and Victor Lomonosov." October 11-14, 2018 (with Kent State Analysis Group).
• Informal Analysis Seminar, February 24-25, 2018 (with Kent State Analysis Group).
• ``Recent Advances in Discrete and Analytic Aspects of Convexity", BIRS, Banff, Canada, 5/2017 (with K. Bezdek, A. Koldobsky, D. Ryabogin and V. Yaskin).
• Informal Analysis Seminar, April 7-9, 2017 (with Kent State Analysis Group).
• Infinite Dimensional Analysis: Celebrating Richard Aron's Work and Impact, October 28-30, 2016 (with Kent State Analysis Group).
• Informal Analysis Seminar, April 30-May 1, 2016 (with Kent State Analysis Group).
• Informal Analysis Seminar, November 14-15, 2015 (with Kent State Analysis Group).
• "Analytic and Probabilistic Techniques in Modern Convex Geometry", University of Missouri, Columbia, November 7-9, 2015 (with G. Paouris, P. Pivovarov and M. Rudelson).
• CBMS Regional Conference in the Mathematical Sciences-"Introduction to the Theory of Valuations and Convex Sets,'' featuring Semen Alesker, August 10-15, 2015 (with B. Jaye and D. Ryabogin).
• Informal Analysis Seminar, March 14-15, 2015 (with Kent State Analysis Group).
• Informal Analysis Seminar, March 1-2, 2014 (with Kent State Analysis Group).
• "Geometric Tomography and Harmonic Analysis", BIRS, Banff, Canada, 3/2014 (with A. Koldobsky, D. Ryabogin and V. Yaskin).
• "Sections of convex bodies ", American Institute of Mathematics, August 2013 (with A. Koldobsky, D. Ryabogin and V. Yaskin).
• Informal Analysis Seminar, November 16-18, 2012 (with Kent State Analysis Group).
• AMS Special Session on Harmonic Analysis and Convexity, University of Akron, OH, October 20-21, 2012 (with B. Jaye, D. Ryabogin).
• Informal Analysis Seminar, October 18-19, 2012 (with Kent State Analysis Group).
• CBMS Regional Conference in the Mathematical Sciences-"Ergodic Methods in the Theory of Fractals" 6/2012 (with D. Ryabogin).
• Informal Analysis Seminar, March 30th - April 1st, 2012 (with Kent State Analysis Group).
• "Harmonic Analysis in Convex Geometry", BIRS, Banff, Canada, May 2011 (with A. Koldobsky, D. Ryabogin and V. Yaskin).
• "Mahler's conjecture and duality in convex geometry", American Institute of Mathematics, August 2010 (with A. Koldobsky, D. Ryabogin and V. Yaskin).
• "Informal Analysis Seminar Dedicated to the Work of Joe Diestel", March, 2010, (with Analysis group at Kent State).
• "Summer school on Fourier analytic and probabilistic methods in geometric functional analysis and convexity", with FRG group, August 2008.
• Informal Analysis Seminar, October, 2007, (with Analysis group at Kent State).
• "Fourier analytic methods in convex geometry", American Institute of Mathematics, August 2007 (with A. Koldobsky, D. Ryabogin).
• AMS Special Session on Affine Invariants, Randomness and Approximation in Convex Geometry, Stevens Institute of Technology, Hoboken, NJ 4/2007. (with E. Werner).
• Informal Analysis Seminar, , December, 2006, (with Analysis group at Kent State).
• NSF/CBMS Conference -"Probabilistic and combinatorial approach in analysis", 8/2006 (with P. Enflo and A. Tonge).
• "Conference to Celebrate the Life and Work of Vladimir Gurariy." (with R. Aron, J. Diestel, P. Enflo, V. Lomonosov and A. Tonge).

Teaching experience:

Kent State University

• Algebra for Calculus, Summer 2017, Summer 2019.
• Analytic Geometry and Calculus I (12002). Fall 2020
• Analytic Geometry and Calculus III (22005). Fall 2005.
• Asymptotic Theory of Finite Dimensional Normed Spaces, Fall 2010.
• Basic Mathematical Concepts I, Summer 2010.
• Basic Mathematical Concepts II, Summer 2015.
• Calculus with Precalculus. Fall 2006, Winter 2007.
• College Algebra (11011). Summer Semester 2004
• Developmental mathematics (11004). Summer Semester 2004.
• Differential Geometry (4/55011), Fall 2013.
• Discrete Geometry. Fall 2006. Summer 2015.
• Fundamental Concepts of Geometry (34002), Fall 2020.
• Functions of a Complex Variable I (62151/72151), Spring 2018.
• Functions of Real Variables. Winter 2006, Fall 2016, Spring 2017. Fall 2019. Spring 2020, Fall 2023, Spring 2024.
• Graph Theory and Combinatorics (4/52021),Fall 2013, Summer 2016, Summer 2018, Summer 2020.
• Introduction to Analysis I and II (42001/52001 and 42002/52002), Fall/Spring Semesters 2005/2006; 2009/2010; 2011/2012; 2014/2015.
• Introduction to Partial Differential Equations, Winter 2010.
• Introduction to Topology I and II. Fall 2008, Winter 2009.
• Linear Algebra and Applications (21001). Fall 2004, Winter 2005, Fall 2007, Winter 2010.
• Measure Theory Seminar (72095). Fall 2004- present, (Spring/Summer 2020 -online).
• Probability and Statistics for High-School Teachers (57091), Fall 2012; Fall 2014; Fall 2016; Fall 2018.
• Special Topics: Information Theory (60091), Summer 2020.
• Theory of Matrices, Spring 2023.
• Theory of Numbers (4/57011), Spring 2015.
• Topics in Probability Theory and Stochastic Processes, Fall 2008, Spring 2019.
• Trigonometry (11022), Summer 2019. .
  University of Missouri-Columbia
  
• Elementary Differential Equations (math 304). Winter Semester 2003.
• Calculus III (math 201). Winter Semester 2004, Fall Semester 2003, Fall Semester 2002.
• Probability Models (math 315). Winter Semester 2004, Fall Semester 2003, Winter Semester 2002.
• Finite Mathematics (math 60). Winter Semester 2002.
• Mathematical Modeling 1 (Digital Signal Processing) (math 314). Fall Semester 2001.
• Finite Mathematics (math 60). Fall Semester 2001.
  Weizmann Institute of Science
  
• Teaching Assistant for the course ``Combinatorial Games'' (Prof. A. Fraenkel, WIS), 1999-2000
• Teaching Assistant for the course "Mathematical Modeling in Biology" (Prof. L. Segel, WIS), 1999-2000, 2000-2001
• Mentor, Israeli Summer Science Youth Workshop, Weizmann Institute of Science, August 1999.
• Taught mathematics for gifted Russian high-school students, The Youth Activities Section at the Weizmann Institute of Science.
• Mentor, Summer Science Institute, Weizmann Institute of Science, International Camp, 1998, 1997.
  Moscow, Russia
  
• Teacher at Moscow School 67, 1991-1994.

University/Departmental Service:

• College Advisory Committee 2012-2013.
• Coordinator of Graduate Studies 2007 - 2021, 2023-present.
• Chair Review Committee 2012, 2016 (chair of the committee), 2020 (chair of the committee).
• University Advisory Committee on Academic Assessment 2011- 2019.
• Graduate Studies committee 2006-2007.
• Faculty Advisory committee 2005-2006, 2011-2012, 2012-2013, 2014-2015, 2018-2019, 2019-2020, 2017.
• Hiring committee member 2005, 2007.
• Developed departmental web-page. 2005-2009.
• Colloquium Chair 2004-2007, 2011-2013.
• University Research Council 2018 -2021.