Maria Gordina
John F. Randolph Professor of Mathematics & Department Chair
Department of Mathematics, University of Rochester, Rochester, NY 14627
Professor Emerita, University of Connecticut
IMS Fellow
AMS Fellow
Simons Fellow 2016–17
Humboldt Fellow
AWM Michler Prize
Research Interests
- Analysis, geometry and probability on infinite-dimensional spaces
- Limit laws in probability and ergodicity
- Geometric analysis on Riemannian and sub-Riemannian manifolds
- Hypoellipticity
- Non-commutative probability
Positions
2026–present
John F. Randolph Professor & Department Chair
University of Rochester
2026–present
Professor Emerita
University of Connecticut
2023–2025
Bonn Research Chair
Hausdorff Center for Mathematics, University of Bonn
2013–2026
Professor
University of Connecticut
2007–2013
Associate Professor
University of Connecticut
2003–2007
Assistant Professor
University of Connecticut
2000–2002
NSF Postdoctoral Fellow
UC San Diego
1998–2000
Postdoctoral Fellow
McMaster University
Awards & Honors
2025SLMath Research Professorship, Stochastic PDEs semester
2024IMS Fellow — UConn announcement
2023–2025Bonn Research Chair, Hausdorff Center for Mathematics
2023AMS Fellow — UConn announcement
2022MSRI Research Professorship, Analysis and Geometry of Random Spaces
2016Simons Fellow in Mathematics — UConn announcement
2009AWM Ruth I. Michler Memorial Prize — UConn announcement
2005Humboldt Research Fellowship (Germany)
2000NSF Postdoctoral Fellowship
External Funding (NSF)
DMS-2246549 (2023–2027) · DMS-1954264 (2020–2024) · DMS-1712427 (2017–2021) · DMS-1405169 (2014–2018) · DMS-1007496 (2010–2015) · DMS-0706784 (2007–2011) · DMS-0306468 (2003–2007) · NSF Postdoctoral Fellowship (2000–2002)
Editorial Roles
2021–present
Associate Editor, La Matematica
2018–2025
Editor, Forum Mathematicum
2018–2023
Associate Editor, Electronic Communications in Probability
2018–2023
Associate Editor, Electronic Journal of Probability
1
Dimension-independent functional inequalities by tensorization and projection arguments
arXiv:2403.187992
Geodesics on Grushin spaces
arXiv:2509.034113
Heat kernel analysis on infinite-dimensional reduced Heisenberg groups
arXiv:2512.033494
On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group
arXiv:1908.091825
Notions of null sets in infinite-dimensional Carnot groups
arXiv:2304.145246
Large deviations principle for sub-Riemannian random walks
arXiv:2210.058177
Rigidity of the subelliptic heat kernel on SU(2)
arXiv:2407.121838
Non-commutative Lp spaces and Grassmann stochastic analysis
arXiv:2305.084979
Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
arXiv:2407.0942610
Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise
arXiv:2310.13470P1
Free Bakry–Émery Calculus
arXiv:2608.23948P2
Semiclassical limit of Polyakov-Liouville measure and Q-Curvature Uniformization on even-dimensional manifolds
arXiv:2606.14443P3
Spectral theory for Lévy and Lévy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups
arXiv:2510.08866P4
Uniform doubling for abelian products with SU(2)
arXiv:2412.17102P5
Dirichlet metric measure spaces: spectrum, irreducibility, and small deviations
arXiv:2409.07425P6
Sharp defective log-Sobolev inequalities on H-type groups
arXiv:2410.15566P7
Brownian and energy representation for path groups
54 publications (1992–2026). Complete list on arXiv and MathSciNet.
54
Dimension-independent functional inequalities by tensorization and projection arguments
arXiv:2403.1879953
Geodesics on Grushin spaces
arXiv:2509.0341152
On the Onsager-Machlup functional for Brownian motion on the Heisenberg group
arXiv:1908.0918251
Left-invariant geometries on SU(2) are uniformly doubling
arXiv:1708.0302150
Integrated Harnack Inequalities on Lie Groups
arXiv:0711.4392…
All 54 papers listed on arXiv and MathSciNet.
PhD Students
Robert Wooster
Mang Wu
John Haga
Alex Baldenko
Malva Asaad
Fanny Shum
Phanuel Mariano
Liangbing Luo
Marco Carfagnini
Rachel Bailey
Michael Albert
Aryan Dugar
Postdoctoral Fellows
2022–2025
Rohan Sarkar
2015–2018
Bumsik Kim
2012–2016
Thomas Laetsch
2010–2013
Chen-Yun Lin
2006–2009
Matthew Cecil
Teaching Experience
2026–present
University of Rochester
2017
Advanced Topics in Stochastic Analysis (V5F3)
Bonn International Graduate School of Mathematics
2003–2026
Graduate and undergraduate courses in probability and analysis
University of Connecticut
2001–2002
Instructor
University of California, San Diego
1998–2000
Differential equations and analysis courses
McMaster University, Canada
1992–1997
Calculus, honors calculus; graduate courses in PDE, Real and Complex Analysis, Lebesgue Integration
Cornell University
1990–1992
Calculus and Fourier analysis
Leningrad Electro-Technical Institute
1985–1990
Instructor and Director (1988–1990), School for Young Mathematicians
Leningrad
MathCounts
2010–present
MathCounts instructor, Mansfield Middle School
2019–2025
Eastern Chapter MathCounts competition co-organizer, University of Connecticut
Public Lectures, Panels & Mentorship
2021–present
Math Alliance mentor
2018–present
AWM Student Chapter faculty mentor, University of Connecticut
2023–2025
Celebration of Women in Mathematics co-organizer, University of Connecticut
2021
Math Club talk: Emmy Noether, symmetry, and the calculus of variations, University of Connecticut
2019
Math Club talk: Isoperimetric inequalities, University of Connecticut
2016
Lecture: Brownian motion, E. O. Smith High School
2011
MATH Lunch Talk, Smith College
2010
Speaker, Women in Physics celebration, UConn Physics Club