Biography
Paata Ivanisvili is an Associate Professor in the Department of Mathematics at the University of California, Irvine. He obtained his Ph.D. in Mathematics from both Michigan State University and Saint Petersburg State University between 2011 and 2015. His professional journey includes positions as an Assistant Professor at North Carolina State University and a postdoctoral researcher at Princeton University and Kent State University. Ivanisvili joined UC Irvine as an Assistant Professor in 2018 and was promoted to Associate Professor in 2021.
Ivanisvili's research interests are concentrated in the areas of Analysis, Probability, Convex Geometry, and Discrete Approximation Theory. He has authored numerous peer-reviewed articles in reputable journals such as the Journal of Mathematical Sciences, Analysis & PDE, and the Journal of Functional Analysis. His work has received significant funding, including the NSF CAREER DMS grant for the period 2020-2025. Ivanisvili has also contributed to the organization of professional events, such as the upcoming dual trimester program on Boolean Analysis in Computer Science in Bonn, Germany, in Fall 2024.
At UC Irvine, Ivanisvili teaches a range of courses, including Functional Analysis and Probability. He has mentored several doctoral students and postdoctoral researchers, guiding them in their academic pursuits. Ivanisvili is actively involved in professional service, having served on various committees, such as the Analysis Qualifying Exam Committee and the Graduate Admissions & Advisory Committee. His contributions extend to the broader academic community through his participation in seminars and workshops worldwide.
Return to topEducation
- PhD in Mathematics, Michigan State University, 2015
- PhD in Mathematics, Saint Petersburg State University, 2015
- BS, MS in Mathematics, Saint Petersburg State University, 2011
Areas of Expertise
- Mathematical Analysis
- Probability Theory
- Functional Analysis
- Convex Geometry
- Discrete Mathematics
- Isoperimetric Inequalities
- Hamming Cube
- Bellman Functions
- Hypercontractivity
- Gaussian Measures
Recent Publications
- Y. Stone, “The KKL inequality and Rademacher type 2” (opens in new tab), Discrete Analysis, 2024.
- R. Russell, “Exponential integrability in Gauss space” (opens in new tab), Analysis & PDE, vol. 16, no. 5, 2023.
- A. Eskenazis, “Sharp growth of the Ornstein-Yhlenbeck operator on Gaussian tail spaces” (opens in new tab), Israel Journal of Mathematics, vol. 253, pp. 469–485, 2023.
- J. De Dios, R. Greenfeld, J. Madrid, “Additive Energies on Discrete Cubes” (opens in new tab), Discrete Analysis, 2023.
- A. Eskenazis, L. Streck, “Low-degree learning and the metric entropy of polynomials” (opens in new tab), Discrete Analysis, 2023.
- F. Nazarov, “On Weissler’s conjecture on the Hamming cube I” (opens in new tab), IMRN, no. 9, pp. 6991-7020, 2022.
- A. Eskenazis, “Learning low-degree functions from a logarithmic number of random queries” (opens in new tab), pp. 203–207, 2022. Presented at 54th Annual ACM SIGACT Symposium on Theory of Computing, June 2022.
- A. Lindenberger, P. Muller, M. Schmuckenschlager, “Hypercontractivity on the unit circle for ultraspherical measures: linear case” (opens in new tab), Revista Matematica Iberomareicana, vol. 38, no. 4, pp. 1335–1348, 2021.
- R. L. Frank, “Hypercontractivity of the semigroup of the fractional laplacian on the n- sphere” (opens in new tab), Journal of Functional Analysis, vol. 281, no. 8, 2021.
Most Cited Publications
- N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, “Bellman function for extremal problems in BMO” (opens in new tab), Trans. Amer. Math. Soc., vol. 368, pp. 3415–3468, 2016.
- Ivanishvili P., Osipov N.N., Stolyarov D.M., Vasyunin V.I., Zatitskiy P.B., “On Bellman function for extremal problems in BMO” (opens in new tab), Comptes Rendus Mathematique, vol. 350, pp. 561-564, 2012.
- R. van Handel, S. Volberg, “Rademacher type and Enflo type coincide” (opens in new tab), Annals of Math, vol. 192, no. 2, pp. 665–678, 2020.
- D. Stolyarov, V. Vasyunin, P. Zatitskiy, “Bellman function for extremal problems in BMO II: evolution” (opens in new tab), Mem. Amer. Math. Soc., vol. 255, no. 1220, pp. 0–133, 2018.
- A. Eskenazis, “Polynomial inequalities on the Hamming cube” (opens in new tab), Probability Theory and Related Fields, vol. 178, pp. 235-287, 2020.
- 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” (opens in new tab), Comptes Rendus Mathematique, vol. 353, no. 12, pp. 1081–1085, 2015.
- K. Domelevo, S. Petermichl, S. Treil, A. Volberg, “On the failure of lower square function estimates in the non-homogeneous weighted setting” (opens in new tab), Math. Ann., vol. 374, pp. 1923–1952, 2019.
- T. Tkocz, “Comparison of moments of Rademacher chaoses” (opens in new tab), Arkiv för Matematik, vol. 5, no. 1, 2019.
- A. Volberg, “Hessian of Bellman functions and uniqueness of Brascamp–Lieb inequality” (opens in new tab), J. London Math. Soc., vol. 92, no. 3, pp. 657–674, 2015.
- A. Volberg, “Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach” (opens in new tab), 50 years with Hardy spaces, Birkhauser/Springer, Cham, pp. 281-305, 2018.
Contact Information
Website: https://sites.google.com/view/paata
Email: pivanisv@uci.edu
Address: Department of Mathematics, University of California, Irvine
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Last updated on 2/14/2025.