Personal resume

• Citizenship: Israel, USA.

Fields of interest

• Harmonic Analysis.
• Convex and Integral Geometry.

Education

• 2000: Ph.D., The Hebrew University of Jerusalem, Israel.
• 1992: M.Sc., Rostov State University, Rostov on Don, Russia.

Appointments

• 2014-present: Professor, Mathematics Department, Kent State University.
• 2007-1014: Associate Professor, Mathematics Department, Kent State University.
• 2003-2007: Assistant-Associate Professor, Mathematics Department, Kansas State University.
• 2000-2003: Post Doctoral Fellow, Mathematics Department, University of Missouri-Columbia.

Awards

• 2023: Kent State University President's Excellence Award.
• 2023-2026: NSF Grant, DMS-2247771, (joint with Artem Zvavitch).
• 2020-2023: NSF Grant, DMS-2000304, (joint with Artem Zvavitch).
• 2019-2022: United State-Israel Binational Science Foundation (BSF) (joint with Semyon Alesker and Artem Zvavitch).
• 2019-2023: Simons Foundation, Mathematics and Physical Sciences-Collaboration Grants in mathematics.
• 2016-2019: NSF Grant, DMS-1600753, (joint with Artem Zvavitch).
• 2011-2014: NSF Grant "Kent State Informal Analysis Seminar", DMS-1400019, (joint with Ben Jaye, Fedor Nazarov and Artem Zvavitch).
• 2011-2014: CBMS/NSF Grant, DMS-1444411, (joint with Ben Jaye and Artem Zvavitch).
• 2011-2014: NSF Grant, DMS-1101636, (joint with Artem Zvavitch).
• 2011: CBMS/NSF Grant, DMS-1040754, (joint with Artem Zvavitch).
• 2007-2011: NSF FRG Grant, DMS-0652684.
• 2006: CBMS/NSF Grant, DMS-0532656, (joint with Dave Auckly).
• 2004-2006: NSF Grant, DMS-0400789.
• June-July 2006: FDA Grant, 1749, Kansas State University.
• 1993-1994: Golda Meir award, The Hebrew University.

Teaching experience

• 2007-Current: Kent State University, Kent, OH.
  History of Mathematics, Harmonic Analysis, Real Analysis I and II, Complex Analysis I and II, Differential Geometry, Calculus III, Algebra for Calculus, Intuitive Calculus.

  2003-2007: Kansas State University, Manhattan, KS.

  Harmonic Analysis, Convex Geometry, Real Analysis, Advanced Differential Equations, College Algebra, Calculus I.

  2000-2003: University of Missouri, Columbia.

  Finite Math, Calculus II.

  1999-2000: The Open University of Israel.

  Calculus, Advanced Calculus.

  1993-2000: The Hebrew University of Jerusalem.

  Linear Algebra, Calculus I, Calculus II, Advanced Calculus.

Talks

• Seminar of Algebra and Geometry, University of Bremen, Germany, March 6, 2024.
• Colloquium, Baylor University, TX, February 1, 2024.
• Seminar of Analysis, Baylor University, TX, January 31, 2024.
• Convex and Discrete Geometry at the Erdos Center at Renyi Institute, Budapest, Hungary, September 4-8, 2023.
• Harmonic and Complex Analysis: modern and classical, Ramat-Gan, Israel, June 18-23, 2023.
• Geometric Inequalities, Convexity and Probability, Granada, Spain, June 11-16, 2023.
• Recent Advances in Applications of Harmonic Analysis to Convex Geometry, Fargo, ND, April 22-23, 2023.
• AMS Special Session on High-dimensional Convexity and Probability, Georgia Institute of Technology, GA, March 18, 19, 2023.
• Colloquium, University of Waterloo, Waterloo, Canada, January 2023.
• Harmonic Analysis and Convexity, ICERM, RI, Sep 12-16, 2022.
• Analysis Day III, Holon Institute of Technology, Israel, June 28, 2022.
• Geometric Analysis and Convexity, Seville, Spain, June 22, 2022.
• Seminar of Analysis, University of Florence, Italy, June 17, 2022.
• Seminar on Functional Analysis, Tel-Aviv University, Israel, June 12, 2022.
• CMS Special Session, St. Johns University, Canada, June 15, 2022.
• Polish Institute of Mathematics, Warsaw, Poland, May 17, 24, 2022.
• Seminar of Analysis, University of Cincinnati, Cincinnati, April 14, 2022.
• IPAM, UCLA, Los Angeles, February 8, 2022.
• Convex Geometry and its applications, Oberwolfach, Germany, December 2021.
• Probability Seminar, Euler International Mathematical Institute, Saint-Petersburg, Russia, December 10-11, 2021.
• Colloquium, Carnegie-Mellon University, Pittsburgh, October 2021.
• Conference on Modern Methods, Problems and Applications of operator theory and Harmonic Analysis X, Rostov on Don, Russia, August 22-27, 2021.
• CMS Special Session on New perspectives in the Brunn-Minkowski theory, Ottawa, Canada, June 7-11, 2021.
• Satellite Conference related to ECM, Convex bodies- approximation and sections, Slovenia, June 2021.
• AMS Special Session on Sharp Estimates in Harmonic Analysis, University of Cincinnati, OH, April 17,18, 2021.
• Research Trimester, hausdorff Center of Mathematics, Bonn, March 22-28, 2021.
• Kere'kja'rto' Seminar, Bolyai Institute University of Szeged, Hungary, May 2021.
• Current trends in Convex Geometry, Murcia, Spain, March 15-19, 2021.
• Seminar of Analysis, University of Canterbury, Christ Church, New Zealand, March 2020.
• Colloquium, University of Florida, Tallahassee, September 2019.
• Analysis in Missouri:a Midwest symposium, University of Missouri, Columbia, MO, September 5-8, 2019.
• Discrete Geometry Days 2, Budapest, Hungary, July 9-12, 2019.
• Asymptotic Geometric Analysis IV, Euler International Mathematical Institute, Saint-Petersburg, Russia, July 1-7, 2019.
• Conference on Geometry, Differential Equations and Analysis, in memory of A. V. Pogorelov, Kharkiv, Ukraine, June 17-21, 2019.
• Seminar of Analysis, Hebrew University, Jerusalem, Israel, December 2018.
• Seminar of Analysis, Bar-Ilan University, Ramat Gan, Israel, December 2018.
• Convex Geometry and its Applications, Oberwolfach, Germany, December 2018.
• High-dimensional Seminar, Georgia Tech, Atlanta, October 2018.
• Seminar of Analysis, Georgia Tech, Atlanta, October, 2018.
• Special Session on Convex Geometry and Functional Inequalities, AMS meeting, Newark, Delaware, September 2018.
• Conference on new Perspectives on Convex Geometry, Castro Urdiales, Spain, September 2018.
• Special Session on Probability in Convexity and Convexity in Probability, AMS meeting, Columbus, Ohio, March 2018.
• MSRI, Berkeley, October 2017.
• Polish Institute of Mathematics, Bedlewo, Poland, June 2017.
• Analytic aspects of convexity, Rome, Italy, October 2016.
• Conference on Convex and Discrete Geometry, Vienna, Austria, July 2016.
• Seminar on Analysis, Charles University, Prague, Czech republic, June 2016.
• Colloquium, North Dakota State University, Fargo, April 2016.
• Colloquium, Memorial University, St. Johns, Canada, April 2016.
• Convex Geometry and its applications, Oberwolfach, Germany, December 2015.
• Conference dedicated to Alex Koldobsky's 60th anniversary, University of Missouri-Columbia, November 2015.
• Fejes Toth lecture, Colloquium, University of Calgary, Canada, November 2015.
• Seminar on Combinatorics and Analysis, University of Calgary, Canada, November 2015.
• Affine and geometric analysis, Oaxaca, Mexico, September 2015.
• Seminar of Combinatorics, University of Washington, Seattle, May 2015.
• Seminar of Analysis, University of Alberta, Canada, November 2014.
• Special session on High-dimensional convexity and applications, AMS meeting, San Francisco, October 2014.
• PDE and Applied Math. Seminar, University of Akron, Akron, February 2014.
• Special Session on Convex Geometry and its Applications, AMS meeting, St-Louis, Missouri, October 2013.
• Analysis Seminar, Technion, Haifa, Israel, June 2013.
• Conference on Complex Analysis and Dynamical Systems, Nahariya, Israel, May 2013.
• Workshop on Interplay of Convex Geometry and Banach Space Theory, Banff, Canada, March 2013.
• Colloquium, Holon Institute of Technology, Israel, December 2012.
• Seminar of Functional Analysis, Tel-Aviv University Israel, December 2012.
• Convex Geometry and its applications, Oberwolfach, Germany, December 2012.
• Conference on Modern Problems in Operator Theory and Harmonic Analysis devoted to N.K. Karapetyantc, Rostov on Don, Russia, April 2012.
• Workshop on Convexity and Asymptotic Geometric Analysis, Montreal, Canada, April 2012.
• Seminar of Analysis and Probability, University of Michigan, Ann Arbor, April 2012.
• Special Session on Complex Analysis, Geometry and Probability, AMS Meting, Lawrence, Kansas, 2012.
• Seminar of Analysis, University of Wisconsin, Madison, February 2012.
• Seminar of Analysis, Ohio State University, February 2012.
• Polish Academy of Sciences, Warsaw, Poland, November 2011.
• Convex and Integral Geometry, Goethe University, Frankfurt, Germany, September 2011.
• Special Session on Asymptotic Geometric Analysis and Convex Geometry, CMS meeting, Edmonton, Canada, June 2011.
• Conference in honor of Joe Diestel, Murcia, Spain, March 2011.
• Workshop in Analysis and Geometry, Louisiana State University, Baton Rouge, January 2011.
• Convex Geometry and its applications, Oberwolfach, Germany, December 2009.
• Colloquium, Louisiana State University, November 2009.
• Workshop in Analysis and Probability, Texas A&M University, July 2009.
• Seminar of Functional Analysis, Technion, Haifa, Israel, June 2009.
• Colloquium, Holon Institute of Technology, Israel, June 2009.
• Conference in honor of Vitali Milman's 70th anniversary, Tel-Aviv, Israel, June 2009.
• Special Session on Convex and Integral Geometry, AMS meeting, Middletown, Connecticut, October 2008.
• Special Session on Convex and Discrete Geometry and Asymptotic Analysis, AMS meeting, Vancouver, Canada, October 2008.
• Conference on Convex Geometry, University of Missouri-Columbia, March 2008.
• Colloquium, Cleveland State University, November 2007.
• Workshop on Geometrization of Probability, University of Ottawa, September 2007.
• Seminar of Analysis, Ohio State University, February 2007.
• Colloquium, North Dakota State University, Fargo, January 2007.
• Workshop on Harmonic Analysis, Louisiana State University, Baton Rouge, January 2007.
• Konvexgeometrie, Oberwolfach, Germany, December 2006.
• Informal Analysis Seminar, Kent State University, December 2006.
• Seminar of analysis, Michigan State University, October 2006.
• Colloquium, University of Miami, Florida, March 2006.
• Special Session on Harmonic Analysis, AMS meeting, Miami, Florida, March 2006.
• Seminar of Analysis, Kent State University, November 2005.
• Special Session on Regularity in PDEs and Harmonic Analysis, AMS meeting, Albuquerque, New Mexico, October 2004.
• Seventh International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Spain), June 2004.
• Seminar of modern analysis, University of Missouri-Columbia, April 2004.
• Seminar of analysis, The University of Kansas, December 2003.
• Colloquium, Kansas State University, February 2003.
• Seminar of analysis, University of Wisconsin-Madison, November 2002.
• Colloquium, Temple University, Philadelphia, November 2002.
• Seminar of analysis and probability, University of Connecticut, October 2002.
• Colloquium, Polytechnic University, New-York, October 2002.
• Conference "Second Prairie Analysis Seminar", University of Kansas, October 2002.
• Conference "Harmonic Analysis / Partial Differential Equations", University of Missouri-Columbia, May 2002.
• Arkansas Spring Lecture 2002, ``Harmonic Analysis, Multilinear operators and Schrodinger operators''.
• Seminar of modern analysis, University of Missouri-Columbia, February 2001.
• Seminar in approximation and interpolation, Technion, Haifa, Israel, May 2000.
• Internationla conference " Geometric Aspects of Fourier and Functional Analysis", Kiel, Germany, August 1998.
• Seminar of Functional Analysis, Hebrew University, Jerusalem, Israel, May 1998.
• International workshop in fractional calculus and special functions, Varna, Bulgaria, August 1996.

Publications

• " An analogue of polynomially integrable bodies in even-dimensional spaces", (with Mark Agranovsky, Alex Koldobsky and Vlad Yaskin), J. Math. Anal. Appl. 529 (2024), no. 2, Paper No. 127071, 12 pp.

• " Analysis and geometry near the unit ball: proofs, counterexamples, and open questions". Harmonic analysis and convexity, (with Maria Alfonseca, Fedor Nazarov and Vlad Yaskin), 445-468, Adv. Anal. Geom., 9, De Gruyter, Berlin, 2023.

• "On bodies floating in equilibrium in every orientation", Geom. Dedicata 217 (2023), no. 4, Paper No. 70, 17 pp.

• "A negative answer to Ulam's problem 19 from the Scottish Book", Ann. of Math., (2) 195 (2022), no. 3, 1111-1150

• "On an equichordal property of a pair of convex bodies ", Discrete Comput. Geom. 68 (2022), no. 3, 881-901.

• " A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball" (with Maria Alfonseca, Fedor Nazarov and Vlad Yaskin), Adv. Math. 390 (2021), Paper No. 107920, 28 pp.

• "Fine approximation of convex bodies by polytopes" (with Márton Naszódi and Fedor Nazarov), Amer. J. Math., 142 (2020), no. 3, 809-820

• "On bodies in R^5 with directly congruent projections and sections" (with Maria Alfonseca and Michelle Cordier), Rev. Mat. Iberoam., 35 (2019), no. 6, 1745-1762

• "Generalized Grünbaum inequality" (with Mathieu Meyer, Fedor Nazarov and Vlad Yaskin), Bull. Lond. Math. Soc., 50 (2018), 745-752

• "On polytopes with congruent projections or sections" (with Sergii Myroshnychenko), Advances in Mathematics, 325 (2018), 482-504

• "On a functional equation related to convex bodies with SU(2)-congruent projections" Geom. Dedicata, 190 (2017), 151-156

• "Unique determination of convex lattice sets" (with Vlad Yaskin and Ning Zhang), Discrete and Comp. Geometry, 57 (2017), 582-589

• "On bodies with directly congruent projections and sections" (wih Maria Alfonseca and Michelle Cordier), Israel J. Math., 215 (2016), no. 2, 765-799

• "A Lemma of Nakajima and Süss on convex bodies" AMM, 122 (2015), No. 9, 890-893

• "An asymmetric convex body with maximal sections of constant volume" (with Fedor Nazarov and Artem Zvavitch), Journal of AMS, 27 (2014), No. 1, 43-68

• "On counterexamples in questions of unique determination of convex bodies" (with Vlad Yaskin), Proc. of AMS, 141 (2013), no. 8, 2869-2874

• "Non-uniqueness of convex bodies with prescribed volumes of sections and projections" (with Fedor Nazarov and Artem Zvavitch), Mathematika 59 (2013), 213-221

• "Harmonic Analysis and Uniqueness questions in Convex Geometry" (with Vlad Yaskin and Artem Zvavitch), Recent Advances in Harmonic Analysis and Applications, In Honor of Konstantin Oskolkov's 65th Birthday, 2013, edited by Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander Stokolos and Brett D. Wick

• "On the continual Rubik's cube" Advances in mathematics, 231 (2012), 3429-3444

• "Detecting symmetry in star bodies" (with Vlad Yaskin), J. of Math. Analysis and Applications, 395 (2012), 509-514

• "A problem of Klee on inner section functions of convex body" (with Richard Gardner, Vlad Yaskin and Artem Zvavitch), J. of Differential Geometry 91 (2012), 261-279 DVI version

• "The Unit Ball is an attractor of the intersection body operator" (with Alexander Fish, Fedor Nazarov and Artem Zvavitch), Advances in Mathematics, 226 (2011), 2629-2642 DVI version

• "A remark on the Mahler Conjecture: local minimality of the unit cube" (with Fedor Nazarov, Fedor Petrov and Artem Zvavitch), Duke Mathematical J., 154, (2010), no. 3, 419-430 DVI version

• "Some properties of conjugate harmonic functions in a half-space" (with Anatoly Ryabogin), J. of Math. Analysis and Applications, 369, Issue 2, (2010), 686-693 DVI version

• "On a question of A. Koldobsky" (with Alexey Goncharov), J. of Math. Analysis and Applications, 350 (2009), 313-326 DVI version

• "On the local equatorial characterization of zonoids and intersection bodies" (with Fedor Nazarov and Artem Zvavitch), Advances in Mathematics, 217 (2008), no. 3, 1368-1380 DVI version

• "On the p-independence boundedness property of Calderon-Zygmund theory" (with Loukas Grafakos and Petr Honzik), Journal fur die reine und angewandte mathematik, 602 (2007), 227-234 DVI version

• "Hardy spaces and partial derivatives of conjugate harmonic functions" (with Anatoly Ryabogin), Proc. of AMS, 135 (2007), 2461-2470 DVI version

• "Some problems related to the Calderon-Zygmund singular integral operators with rough kernels" , Conferences in Harmonic Analysis: Calderon-Zygmund and Beyond, on the occasion of Steve Vagi's retirement from DePaul University, 2006 DVI version

• "Are L^2-bounded homogeneous singular integrals necessarily L^p-bounded?" (with Loukas Grafakos and Petr Honzik), Proceedings of the Prairie Analysis Seminar, 2005 DVI version

• "Reconstruction of convex bodies of revolution from the areas of their Shadows" (with Artem Zvavitch), Archiv der Mathematik, 5 (2004), 450-460 DVI version

• "Fourier analytic methods in the study of sections and projections of convex bodies" (with Alex Koldobsky and Artem Zvavitch), Proceedings of Workshop on Convexity and Fourier analysis, appeared in Applied and numerical harmonic analysis, 2004, edited by Luca Brandolini, Leonardo Colzani, Alex Iosevich, and Giancarlo Travalgini. DVI version

• "The Fourier transform and Firey projections of convex bodies" (with Artem Zvavitch), Indiana Univ. Math. J, Vol.53, No.3 (2004), pp. 667-681 DVI version

• "Projections of convex bodies and the Fourier transform" (with Alex Koldobsky and Artem Zvavitch), Israel J. Math. 139 (2004), 361-380 DVI version

• "Singular integrals generated by zonal measures" (with Boris Rubin), Proc. of AMS, Vol. 130, (2002), No 3, pp. 745-751 DVI version

• "The k-dimensional Radon Transform on the n-sphere and related Wavelet Transform" (with Boris Rubin), Contemp. Mathematics. 278 (2001), pp. 227-239 DVI version

• "Singular Integrals, generated by wavelet transform" (with Boris Rubin), Integral Equations and Operator Theory, 35 (1999), pp. 105-117 DVI version

• "Wavelet type representations in fractional calculus" (with Boris Rubin and Eliyahu Shamir), Proc. of the Conference "Fractional calculus and spectral functions, Varna 96" DVI version

Preprints

• "Hardy spaces and partial derivatives of conjugate harmonic functions" (with Anatoly Ryabogin) DVI version

• "Weak type (p,p) estimates for certain maximal operators" (with Georgiy Arutyunyants) DVI version

• "On a paper of Hudson" (with Georgiy Arutyunyants) DVI version

• "Singular Integrals Generated by Finite Measures" (with Boris Rubin) DVI version

• "Wavelet Type Representations in Fractional Calculus" (with Boris Rubin, Eliyahu Shamir) DVI version