Paata Ivanisvili (CV) Fine Hall, Room 102 Department of Mathematics Princeton University Princeton, NJ 08544 USA e-mail: paatai@math.princeton.edu |

- 2017 --
*Postdoctoral Researcher*, Princeton University, Princeton, NJ - Fall 2017 -
*Postdoctoral Fellow*, MSRI, Geometric Functional Analysis and Applications, Berkeley, CA - Summer 2017 -
*Postdoctoral Researcher*, Kent State University, Kent, OH - Spring 2017 -
*Postdoctoral Fellow*, MSRI, Harmonic Analysis, Berkeley, CA - 2015--2016 -
*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 (A. Volberg) - 2011--2014 -
**PhD**, Mathematics, Saint Petersburg State University (S. Kislyakov, V. Vasyunin) - 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., 148 pages, to appear in Memoirs of the AMS*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, (2016) accepted to Studia Math.
*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, (2016)*with K. Domelevo, S. Petermichl, S. Treil, A. Volberg,*On the failure of lower square function estimates in the non-homogeneous weighted setting, (2017)- 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, accepted to Discrete Analysis (2017)*with A. Volberg,*From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity, (2017)*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, (2017)*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, (2017)