2026 CMS Winter Meeting
Montreal, Dec 11 - 14, 2026
- ALMUT BURCHARD, University of Toronto
- RUSTUM CHOKSI, McGill University
- KENNETH DEMASON, McMaster University
- NICK EDELEN, University of Notre Dame
- AILANA FRASER, University of British Columbia
- TIZIANA GIORGI, The Univesity of Alabama
- COLIN GRANT, McMaster, MSc student
- PENGFEI GUAN, McGill University
An inverse-curvature-type hypersurface flow in space forms [PDF]
- RUSTUM CHOKSI, McGill University
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We study an inverse-curvature-flow in hyperbolic space and the hemisphere. We introduce explicit initial radial-slope conditions under which smooth admissible star-shaped hypersurfaces evolve for all time and converge exponentially to a geodesic sphere. These first-order conditions are compatible with nonconvex admissible hypersurfaces and are implied by the corresponding horo-convexity assumptions
for radial graphs. The monotonicity of quermassintegrals along the flow yields sharp geometric inequalities, with equality precisely for geodesic spheres. This is a joint work with Junfang Li.
- FANG HONG, McGill University
- LUANA JOST, Institut de Mathématiques de Toulouse
- SIYUAN LU, McMaster University
Recent progress on Hessian quotient equations [PDF]
- LUANA JOST, Institut de Mathématiques de Toulouse
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Hessian quotient equations are closely related to convex geometry, complex geometry and special Lagrangian geometry. In this talk, I will discuss some recent progress on Hessian quotient equations from analytic point of view, including rigidity of entire solutions and a priori estimates.
- GUANYING PENG, Worcester Polytechnic Institute
- RÉMY RODIAC, Université Côte d'Azur
- REGINA ROTMAN, University of Toronto
- ALINA STANCU, Concordia University
- DOMINIK STANTEJSKY, Institut Élie Cartan de Lorraine IECL
- HUNTER STUFFLEBEAM, Johns Hopkins University
- IHSAN TOPALOGLU, Virginia Commonwealth University
- CHONG WANG, Washington and Lee University
- RÉMY RODIAC, Université Côte d'Azur