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: zvavitch@math.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:

• 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:

• 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:

• Matthew Alexander (Ph.d.) 2013- present
• Galyna Livshyts (Ph.d), 2011 - Spring 2015 (expected) (Assistant Professor, Georgia Institute of Technology starting Fall 2015).
• Jeffrey Schlaerth (Ph.d), 2005-present.
• Jaegil Kim (Ph.d), 2008 -2013 (currently PIMS postdoctoral fellow at the University of Alberta, Canada).
• Wei Bai (M.Sc), 2013-2014.
• Yuanyuan Peng (M.Sc), 2015- present.

Publications/Preprints:

• 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:

• 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:

• "Convex Geometry and its Applications'', Oberwolfach, Germany 12/2015 (upcoming).
• "Convexity, Probability and Discrete Structures, a Geometric Viewpoint'', University Paris-Est Marne-La-Valle, France, 10/2015 (upcoming).
• "Affine Geometric Analysis", (BIRS), Casa Matematica Oaxaca (CMO), Mexico, 9/2015 (upcoming).
• 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

• 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).

Referee/Rewier work:

• Natural Sciences and Engineering Research Council of Canada.
• Israel Science Foundation.
• National Science Foundation.
• Advances in Applied Mathematics.
• Advances in Mathematics.
• Annals of Probability.
• Bulletin of the Korean Mathematical Society.
• Canadian Mathematical Bulletin.
• Discrete & Computational Geometry.
• GAFA Seminar Notes.
• Geometriae Dedicata.
• Glasgow Mathematical Journal.
• Houston Journal of Mathematics
• Electronic Communications in Probability.
• Indagationes Mathematicae.
• International Mathematics Research Notices.
• Israel Journal in Mathematics.
• Journal of Approximation Theory.
• Journal of Geometric Analysis.
• Journal of Functional Analysis.
• Journal of Inequalities and Applications.
• Journal of Mathematical Analysis and Applications.
• Journal of Online Mathematics and its Applications.
• Mathematika.
• Mathematische Annalen.
• Monatshefte fur Mathematik.
• Proceedings of the American Mathematical Society.
• Publicationes Mathematicae Debrecen.
• Science in China, Series A: Mathematics.
• The Annals of Probability.
• Zentralblatt Math.

Teaching experience:

Kent State University

• Theory of Numbers (4/57011), Spring 2015.
• Differential Geometry (4/55011), Fall 2013.
• Graph Theory and Combinatorics (4/52021), Fall 2013.
• Probability and Statistics for High-School Teachers (57091), Fall 2012; Fall 2014.
• Introduction to Partial Differential Equations, Winter 2010.
• Asymptotic Theory of Finite Dimensional Normed Spaces, Fall 2010.
• Introduction to Topology I and II. Fall 2008, Winter 2009.
• Topics in Probability Theory and Stochastic Processes, Fall 2008.
• Discrete Geometry. Fall 2006.
• Calculus with Precalculus. Fall 2006, Winter 2007.
• Functions of Real Variables. Winter 2006.
• Introduction to Analysis I and II (42001/52001 and 42002/52002), Fall/Spring Semesters 2005/2006; 2009/2010; 2011/2012; 2014/2015.
• Analytic Geometry and Calculus III (22005). Fall 2005.
• Linear Algebra and Applications (21001). Fall 2004, Winter 2005, Fall 2007, Winter 2010.
• Measure Theory Seminar (72095). Fall 2004- PRESENT.
• Developmental mathematics (11004). Summer Semester 2004.
• College Algebra (11011). Summer Semester 2004.
  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 - present.
• Chair Review Committee 2012.
• University Advisory Committee on Academic Assessment 2011- present.
• Graduate Studies committee 2006-2007.
• Faculty Advisory committee 2005-2006, 2011-2012, 2012-2013, 2014-2015.
• Hiring committee member 2005, 2007.
• Developed departmental web-page.
• Colloquium Chair 2004-2007, 2011-2013.