Maria (Masha) Gordina is a Russian-American mathematician. 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.

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

Education and career
Gordina earned a diploma in 1990 from Leningrad State University, and became an assistant professor at the Leningrad Electrotechnical Institute. 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. 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.

Gordina serves on the editorial boards of Forum Mathematicum, the Electronic Journal of Probability, and Electronic Communications in Probability.

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  (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".

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

1968 births
Living people
Russian mathematicians
Russian women mathematicians
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Saint Petersburg State University alumni
University of Connecticut faculty
Cornell University alumni
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women
Fellows of the American Mathematical Society