Paata Ivanisvili (aka Ivanishvili) Rowland Hall, Room 510K Department of Mathematics University of California, Irvine Irvine, CA 92697 (949) 824-7121 e-mail: pivanisv@uci.edu |

- 2018 --
*Assistant Professor*, University of California, Irvine, CA - 2017 -- 2018
*Postdoctoral Researcher*, Princeton University, Princeton, NJ - 2017 (Spring and Fall) -
*Postdoctoral Fellow*, MSRI; 1) Harmonic Analysis. 2) Geometric Functional Analysis and Applications. Berkeley, CA - 2015--2016 (and Summer 2017) -
*Postdoctoral Researcher*, Kent State University, Kent, OH - 2011--2013 -
*Research Engineer*, Stanislav Smirnov's Chebyshev Laboratory at Saint Petersburg State University, Russia

- Summer 2014 --
*Visiting Scholar Position*, Hausdorff Research Institute of Mathematics, Bonn, Germany

- 2013--2015 -
**PhD**, Mathematics, Michigan State University - 2011--2015 -
**PhD**, Mathematics, Saint Petersburg State University - 2006--2011 -
**MS**, Mathematics, Saint Petersburg State University, Diploma with high distinctions

*with S. V. Kislyakov,*Correction up to a function with sparse spectrum and uniformly convergent Fourier series, Zap. Nauchn. Sem. POMI, Vol. 376, 25-47, (2010)*with N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy,*Bellman function for extremal problems on*BMO*, Comptes Rendus Mathematique, Volume 350, Issues 11-12, Pages 561-564, June (2012)- J-closed finite collections of Hardy-type subspaces, Zap. Nauchn. Sem. POMI, Vol. 401, 82-92 (2012)
*with N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy,*Bellman function for extremal problems in BMO, Trans. Amer. Math. Soc (2015) doi: dx.doi.org/10.1090/tran/6460- Inequality for Burkholder's martingale transform. Analysis & PDE 8-4 (2015), 765--806. DOI 10.2140/apde.2015.8.765
- Bellman function approach to the sharp constants in uniform convexity. Advances in Calculus of Variations DOI: 10.1515/acv-2016-0008, August 2016
*with D. M. Stolyarov, P. B. Zatitskiy*Bellman VS Beurling: sharp estimates of uniform convexity for L^p spaces St. Petersburg Math. J. Vol. 27 (2016), No. 2, Pages 333-343*with A. Volberg,*Hessian of Bellman functions and uniqueness of Brascamp--Lieb inequality, J. London Math. Soc. (2015), doi:10.1112/jlms/jdv040*with N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy,*Sharp estimates of integral functionals on classes of functions with small mean oscillation. Comptes Rendus Mathematique, Vol. 353, Issue 2, (2015), pages 1081-1085*with A. Volberg,*Bellman partial differential equation and the hill property for classical isoperimetric problems (2015)*with N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy,*Bellman function for extremal problems in BMO II: evolution., Memoirs of the American Mathematical Society (138 pages)*with A. Volberg,*Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. (2015) V. P. Havin's volume- A bundling problem revisited. preprint, (2016)
*with B. Jaye F. Nazarov,*Lower bounds for uncentered maximal functions in any dimension, Int. Math. Res. Notices Vol. 2016, Issue 00, 2016- Boundary value problem and the Ehrhard inequality, Studia Mathematica 246 (3) (2019)
*with A. Volberg,*Improving Beckner's bound via Hermite functions, Anal. PDE, Vol. 10, No. 4 (2017), 929--942*with A. Volberg, F. Nazarov,*On weak and strong sharp weighted estimates of square function , preprint (2016)*with A. Volberg,*Poincare inequality 3/2 on the Hamming cube,*with K. Domelevo, S. Petermichl, S. Treil, A. Volberg,*On the failure of lower square function estimates in the non-homogeneous weighted setting accepted to Mathematische Annalen- Convolution estimates and number of disjoint partitions, The Electronic Journal of Combinatorics, Volume 24, Issue 2 (2017), Paper #P2.43
*with F. Nazarov, A. Volberg,*Square function and the Hamming cube: duality, Discrete Analysis 2018:1, 18 pp.*with A. Volberg,*From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity, accepted to JFA*with I. Holmes, A. Volberg,*The sharp constant in the weak (1,1) inequality for the square function: a new proof, (2017)*with F. Nazarov, A. Volberg,*Hamming cube and martingales, Comptes Rendus Mathematique, Vol. 355, Iss. 10, (2017), pp. 1072--1076*with S. Treil,*Superexponential estimates and weighted lower bounds for the square function, accepted to Trans. Amer. Math. Soc. (2018)*with A. Volberg,*Martingale transform and Square function: some end-point weak weighted estimates, (2017)*with F. Barthe,*Bobkov's inequality via optimal control theory*with P. Mozolyako, A. Volberg,*Strong weighted and restricted weak weighted estimates of the square function, (2018)*with T. Tkocz,*Comparison of moments of Rademacher chaoses, accepted to Arkiv for Matematik (2018)*with S. Zbarsky,*Centered Hardy--Littlewood maximal operator on the real line: lower bounds, (2018) accepted to Comt. Rend. Math.*with A. Eskenazis,*Dimension independent Bernstein--Markov inequalities in Gauss space, (2018)*with E. A. Carlen, R. L. Frank, E. H. Lieb,*Inequalities for Lp-norms that sharpen the triangle inequality and complement Hanner's inequality, (2018)*with D. Li, R. van Handel, A. Volberg,*Improving constant in end-point Poincare inequality on Hamming cube, (2018)*with C. Mooney,*Sharpening the triangle inequality: envelopes between L2 and Lp spaces, (2019)*with A. Eskenazis,*Polynomial inequalities on the Hamming cube, (2019)*with F. Nazarov,*On Weissler's conjecture on the Hamming cube I, (2019)

*July. Real Analysis, Harmonic Analysis and Applications. Oberwolfach, Germany;**July. Contemporary Analysis and Its Applications. Slovenia;*

*Feb. Kent State University, Colloquium Talk and Analysis seminar talk**March. AMS sectional meeting Hawaii, Honolulu;**April. Caltech, joint UCLA/Analysis seminar;**May. HIM, Trimester program, Harmonic analysis, Bonn, Germany;**May. AIM, San Jose;**May. Geometric and Functional inequalities in Convexity and Probability, Florence, Italy**June. CMS meeting, Probabilistic Methods in Geometric Functional Analysis and Convexity, Regina, Canada;**June. Operators, Functions, and Systems of Mathematical Physics Conference, Baku, Azerbaijan;**June. St. Petersburg Summer Meeting in Analysis, Russia;**Sep. Conference, Batumi, Georgia;**Sep. AMS Sectional meeting, Wisconsin--Madison;**Nov. AMS Sectional meeting, University of Flroida, Gainesville;**Dec. Workshop in convexity and geometric aspects of harmonic analysis, Georgia Tech;*

*Feb. Princeton University; Analysis Seminar;**Feb. Princeton University; Probability Seminar;**Feb. Simons Collaboration on Algorithms & Geometry;**Feb. Georgia Tech.; Analysis Seminar;**Mar. Carnegie Mellon University; Combinatorics Seminar;**May. International conference dedicated to the memory of Sergey Mergelyan, Armenia;**May. Aristotle University of Thessaloniki, Analysis Seminar, Greece;**Jul. PCMI, Harmonic Analysis;**Sep. IX International Conference of the Georgian Mathematical Union, Batumi, Georgia;**Sep. Clay Math. Institute, Discrete Structures: Harmonic Analysis and Probability;*

*Apr. MSRI, HA Postdoc Seminar;**Sep. MSRI, GFA Postdoc Seminar;**Sep. MSRI, GFA Young Researchers Seminar;*

*Feb. University of Wisconsin-Madison, Analysis Seminar;**Mar. AMS sectional meeting, Athens, GA;**Jul. Texas A&M University, Workshop in Analysis and Probability;**Sep. Michigan State University, Analysis and PDE Seminar;**Sep. University of Missouri (2 talks); Analysis Seminar; Convex Geometry Seminar;**Oct. The University of Akron, PDE and Applied mathematics seminar;*

*Jan. University of Helsinki, Analysis Seminar;**Feb. Cincinnati, the 5th Ohio River Analysis Meeting;**Apr. Chebyshev Laboratory at St. Petersburg State University, Russia;**Sep. Kent State University, Measure Theory Seminar;**Nov. Kent State University, Measure Theory Seminar;*

*Jun. Hausdorff institute of mathematics, Trimester program in harmonic analysis and PDE, Germany;**Jun. XXIII St.Petersburg Summer Meeting in Mathematical Analysis, Russia;**Nov. Kent State University, Measure Theory Seminar;*

*Oct. Summer School; Optimal Transport and Applications, UCLA;**Dec. Michigan State University, Analysis and PDE seminar;*

*Mar. Harmonic and Complex Analysis and its Applications, Tenerife, Canary Islands;*

*Jun. XX St.Petersburg Summer Meeting in Mathematical Analysis, Russia;*