Personal resume

Citizenship

Israel.

Born

06.09.1974, Moscow, Russia

Marital Status

married + 2.

Wife: Tatiana Zvavitch

Children: daughters Polina (born 22.06.1994) and Maya (born 05.08.1999).

Fields of interest:

• Convex Geometry
• Geometric Functional Analysis
• Probability
• Harmonic Analysis

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.
• 1991: Graduated Moscow School # 67 (Moscow, USSR).

Appointments

• 2007-present: 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.

Awards/Research Grants

• 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 National Science Foundation Grant in Classical Analysis, Grant Number 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.

Publications

• Gaussian Brunn-Minkowski-type inequalities. (with Richar J. Gardner), Trans. Amer. Math. Soc., accepted.
• "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" to appear in Advances in Applied Mathematics.
• "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.
• "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.
• "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 Guédon ), 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 l^N_p , 0< p < 1 ", GAFA Seminar Notes 1996-2000 , Lecture Notes in Math, Vol. 1745, pp.269-281.
• "Isomorphic embedding of l^n_p , 1< p < 2 , into l^{(1+\e)n}_1", (with Assaf Naor ), Israel J. Math. 122 (2001), 371--380.
• "Embedding subspaces of L_p into l^N_p , 0< p < 1 ", (with Gideon Schechtman), Math. Nachr. 227 (2001), 133--142.

Thesis

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

Talks:

• 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.

Referee/Rewier work:

• Proceedings of the American Mathematical Society,
• Advances in Mathematics,
• The Annals of Probability,
• GAFA Seminar Notes,
• Journal of Approximation Theory,
• Journal of Mathematical Analysis and Applications,
• Publicationes Mathematicae Debrecen,
• Zentralblatt Math.

Teaching experience:

Kent State University

• Discrete Geometry. Fall 2006.
• Calculus with Precalculus. Fall 2006, Winter 2007.
• Functions of Real Variables. Winter 2006.
• Introduction to Analysis 42001/42002. Fall 2005. Winter 2006.
• Analytic Geometry and Calculus III (22005). Fall 2005.
• Linear Algebra and Applications (21001). Fall 2004, Winter 2005, Fall 2007.
• 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.

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