Robert Haslhofer
Assistant Professor | University of Toronto, Department of Mathematics
Toronto, ON, CANADA
Robert Haslhofer's research focuses on geometric analysis
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Research Interests (7)
Geometric Analysis
Geometric Flows
Differential Geometry
Partial Differential Equations
Calculus of Variations
Stochastic Analysis
General Relativity
Accomplishments (3)
ETH Medal (professional)
Awarded for outstanding doctoral thesis.
Silver Medal (professional)
Awarded at the 33rd International Physics Olympiad.
Silver Medal (professional)
Awarded at the 32nd International Physics Olympiad.
Education (3)
ETH Zürich: Ph.D., Mathematics 2012
ETH Zürich: M.Sc, Mathematics 2008
ETH Zürich: B.Sc, Mathematics 2006
Affiliations (2)
- Canadian Mathematical Society
- American Mathematical Society
Links (1)
Research Grants (2)
NSERC Discovery Grant
National Science and Engineering Research Council of Canada
2016-2021 Mean curvature flow and Ricci flow
NSF Research Grant
National Science Foundation
2014-2017 Mean curvature flow and Ricci flow
Articles (6)
The moduli space of 2-convex embedded spheres
preprint2016 We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery.
Characterizations of the Ricci flow
Journal of the European Mathematical Society (to appear)2016 This is the first of a series of papers, where we introduce a new class of estimates for the Ricci flow, and use them both to characterize solutions of the Ricci flow and to provide a notion of weak solutions to the Ricci flow in the nonsmooth setting.
Mean curvature flow with surgery
Duke Mathematical Journal (to appear)2016 We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in arbitrary dimension, as announced in our previous paper.
Mean curvature flow of mean convex hypersurfaces
Communications in Pure and Applied Mathematics2016 In the present paper, we give a new treatment of the theory of mean convex (and k-convex) mean curvature flow, initially developed by White and Huisken-Sinestrari. This includes an estimate for derivatives of curvatures, a convexity estimate, a cylindrical estimate, a global convergence theorem, a structure theorem for ancient solutions, and a partial regularity theorem.
Quantitative Stratification and the Regularity of Mean Curvature Flow
Geometric and Functional Analysis2013 We adapt the quantitative stratification method to the parabolic setting, and use it to prove quantitative estimates and regularity results for weak solutions of the mean curvature flow.
A Compactness Theorem for Complete Ricci Shrinkers
Geometric and Functional Analysis2011 We prove precompactness in an orbifold Cheeger–Gromov sense of complete gradient Ricci shrinkers with a lower bound on their entropy and a local integral Riemann bound.
