Maria Gordina

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]

Maria Gordina
Masha Gordina
Alma mater
Scientific career
FieldsMathematics
InstitutionsUniversity of Connecticut
Doctoral advisorLeonard Gross
Websitewww2.math.uconn.edu/~gordina/

Gordina is the daughter of mathematician Mikhail (Misha) Gordin.[3]

Education and career

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

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

  • 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

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