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.
- 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:

- "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), to appear in
**J. Math. Anal. Appl.** -
" Comparison Problems for Radon Transforms." (with Alexander Koldobsky and Michael Roysdon
), to appear in
**Advances in Math.** - "On
the volume of the Minkowski sum of zonoids." (with Matthieu
Fradelizi, Mokshay Madiman and Mathieu Meyer), to appear in
**Journal of Functional Analysis.** - "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),
**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:

- 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.

**Kent State University**

### 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.