The University of Southern Maine (USM) Department of Mathematics and Statistics welcomed Dr. Elahe Khalili Samani for a Mathematics & Statistics Colloquium on October 5, 2026, at the Michael E. Dubyak Center on the Portland campus.
Dr. Khalili Samani presented “Positive Intermediate Ricci Curvature on Cohomogeneity One Manifolds,” exploring the relationship between curvature, symmetry, and the geometry of manifolds.
The presentation introduced positive intermediate Ricci curvature and examined the existence of metrics satisfying this condition on manifolds with substantial symmetry. Drawing on familiar examples to establish the mathematical background, the talk also discussed obstructions for several families of manifolds and presented a case in which the existence of such a metric could be established.
The work is joint research with Lawrence Mouille.
The Mathematics & Statistics Colloquium brings researchers to USM to share developments in mathematics and related fields, providing opportunities for students and faculty to engage with current mathematical research.