Maria Gordina | |
|---|---|
 Gordina in 2007 | |
| Nationality | US American, Russian |
| Alma mater | Cornell University (Ph.D., 1998) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Connecticut UC San Diego McMaster University |
| Thesis | Holomorphic Functions and the Heat Kernel Measure on an Infinite Dimensional Complex Orthogonal Group (1998) |
| Doctoral advisor | Leonard Gross |
| Website | www2 |
Maria (Masha) Gordina is a Russian-American mathematician.[1] She is a professor of mathematics at the University of Connecticut. Her research is at the interface between stochastic analysis, differential geometry, and functional analysis, including the study of heat kernels on infinite-dimensional groups.[2]
Gordina is the daughter of mathematician Mikhail (Misha) Gordin.[3]
Education and career
[edit]Gordina earned a diploma in 1990 from Leningrad State University, and became an assistant professor at the Leningrad Electrotechnical Institute.[4] She completed her doctorate in 1998 from Cornell University; her dissertation, Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group, was supervised by Leonard Gross.[4][5] Gordina held a post-doctoral appointment at McMaster University. She was awarded a National Science Foundation postdoctoral fellowship in 2000, and conducted research at the University of California, San Diego. In 2003 Gordina joined the University of Connecticut faculty.[4]
Gordina serves on the editorial boards of Forum Mathematicum,[6] the Electronic Journal of Probability,[7] and Electronic Communications in Probability.[8]
Honors
[edit]Gordina was awarded a Humboldt Research fellowship in 2005 (with renewals), and the Ruth I. Michler Memorial Prize of the Association for Women in Mathematics in 2009. She was named a Simons Fellow [9] (2016) in Mathematics and Physical Sciences. She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to stochastic and geometric analysis, infinite-dimensional analysis, and ergodicity of hypoelliptic diffusions".[10]
Selected publications
[edit]- Baudoin, Fabrice; Feng, Qi; Gordina, Maria Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. J. Funct. Anal. 277 (2019), no. 5, 1362–1422.
- Banerjee, Sayan; Gordina, Maria; Mariano, Phanuel Coupling in the Heisenberg group and its applications to gradient estimates. Ann. Probab. 46 (2018), no. 6, 3275–3312.
- Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent Left-invariant geometries on SU(2) are uniformly doubling. Geom. Funct. Anal. 28 (2018), no. 5, 1321–1367.
- Baudoin, Fabrice; Gordina, Maria; Melcher, Tai Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Trans. Amer. Math. Soc. 365 (2013), no. 8, 4313–4350.
- Driver, Bruce K.; Gordina, Maria Heat kernel analysis on infinite-dimensional Heisenberg groups. J. Funct. Anal. 255 (2008), no. 9, 2395–2461.
- Cardetti, Fabiana; Gordina, Maria A note on local controllability on Lie groups. Systems Control Lett. 57 (2008), no. 12, 978–979.
- Gordina, Maria Heat kernel analysis and Cameron-Martin subgroup for infinite dimensional groups. J. Funct. Anal. 171 (2000), no. 1, 192–232.
References
[edit]- ^ Professor of Mathematics Wins Simons Foundation Fellowship, University of Connecticut, May 5, 2016, archived from the original on 2018-08-26
- ^ Ruth I. Michler Prize 2009-2010, Association for Women in Mathematics, retrieved 2024-03-24
- ^ Mikhail Gordin
- ^ a b c Curriculum vitae, retrieved 2024-03-24
- ^ Maria Gordina at the Mathematics Genealogy Project
- ^ Forum Mathematicum
- ^ Electronic Journal of Probability
- ^ Electronic Communications in Probability
- ^ Gordina, Simons Fellow
- ^ 2023 Class of Fellows, American Mathematical Society, retrieved 2024-03-24
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