Fei
He (贺飞)
Dunham Jackson Assistant Professor
School of Mathematics,
University of Minnesota, Twin Cities
MN 55455
Office: 261 Vincent Hall
Email: hexxx221_at_umn_dot_edu
Current Teaching:
Math 1272 Fall 2016 Lec 001, 002: Calculus II
Office Hour: Tu 3:30 pm - 5:00 pm, Wed 10:00 am - 11:30 am.
Moodle: Lec 001, Lec 002.
Research
Interests:
My research field is geometric analysis.
I'm mainly interested in the Ricci flow and Ricci solitons, Einstein
manifolds, Sobolev inequalities on Riemannian manifolds and
applications. My current research project is about Ricci flows on
complete noncompact manifolds with possibly unbounded curvature.
Publications
& Preprints:
1. "Existence and applications of Ricci flows via pseudolocality." arXiv:1610.01735, (2016).
2. "Existence, Lifespan and Transfer Rate of Ricci Flows on Manifolds with Small Ricci Curvature." arXiv:1604.07923, (2016).
3. "Some rigidity results for gradient steady Ricci solitons and Ricci-flat manifolds." arXiv:1311.4515, (2013).
4. "Remarks on the Extension of the Ricci Flow." Journal of Geometric Analysis 24.1 (2014): 81-91.
5. "Regularity of the Ricci flow and rigidity of Ricci Solitons." PhD Dissertation, University of California, Irvine, (2014).