معرفی
Christina Sormani is a Professor in the Department of Mathematics at Lehman College, City University of New York (CUNY), and a doctoral faculty member at the CUNY Graduate Center. She has been a key figure in geometric analysis since joining Lehman College in Spring 2000. Her research spans Riemannian geometry, metric spaces, and geometric measure theory, with a focus on the intrinsic flat distance, a concept she co-developed with Stefan Wenger. She has held visiting positions at prestigious institutions including the Institute for Advanced Study (IAS), Simons Center for Geometry and Physics (SCGP), and MSRI.
Her education includes a PhD from the Courant Institute (1996), followed by postdoctoral positions at Johns Hopkins and Harvard University. She is deeply committed to mentoring and outreach, especially for underrepresented groups in mathematics.
Sormani’s research interests center on convergence of Riemannian manifolds, particularly in contexts involving scalar curvature, Ricci curvature, and general relativity. She investigates the stability of geometric theorems such as the Positive Mass Theorem and scalar rigidity results using intrinsic flat convergence. Her work often involves constructing explicit examples, analyzing limit spaces, and proving compactness theorems. She has organized major workshops like VWRS and long programs at SCGP and Fields Institute.
Her publications reveal a consistent focus on intrinsic flat convergence, its applications in general relativity, and its interplay with other notions like Gromov-Hausdorff and measured Gromov-Hausdorff convergence. The articles show a trend toward geometric stability, limit spaces with singularities, and the behavior of scalar curvature under weak convergence.
She has received significant recognition for her work and service:
- Fellow of the American Mathematical Society (2015)
- Fellow of the Association for Women in Mathematics (2024)
Sormani has advised numerous doctoral students and postdocs, including Dan Lee, Sajjad Lakzian, Raquel Perales, and Brian Allen. She has secured research funding from the NSF and PSC-CUNY. Her outreach includes organizing the "Inspiring Talks in Mathematics" lecture series and maintaining online resources for underrepresented mathematicians. She is actively involved in editorial boards and professional committees, contributing to the broader mathematical community.
She is affiliated with research groups and teams focused on geometric analysis, scalar curvature, and convergence, including collaborations with Misha Gromov, Stefan Wenger, and others. Her recent work explores spacetime intrinsic flat convergence and null distances in Lorentzian geometry.
