Oliver Knill Homepage

Summer, 2024: Math S 21a, Summer 2024, Revision of the Eigenvalue estimate paper. In memory of Frank Josellis: Morse and Lusternik-Schnirelmann for graphs. June 24th: Quadratic fusion inequality.
Spring, 2024: Upper level coordination, Spring 2024. Math 1a, Spring 2024. Manifolds from Partitions [ArXiv]. Stuff from the fall: Differential geometry, Fall 2024. Tutoral 99R Fall 2024. Math S 21a, Summer 2024.
Fall, 2023: Math 1b, Fall 2023, Upper level coordination. Three tree theorem [ArXiv] and Arboricity of manifolds [ArXiv] and Arboricity and Acyclic Chromatic Number and Morse-Sard II [PDF].
Summer, 2023: Math S 21a, Summer 2023, May 21: Cohomology of open sets and a bit of dynamics: May 28: Mandelbulbs, Jun 18: Weierstrass and the Pendulum, and Jul 23: Cohomology of measurable sets.
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Oliver Knill, Department of Mathematics, Harvard University, One Oxford Street, Cambridge, MA 02138, USA. SciCenter 432 Tel: (617) 495 5549, Email: knill@math.harvard.edu Quantum calculus blog, Twitter, Youtube, TikTok, Vimeo, Linkedin, Scholar Harvard, Academia, Harvard Academia, Google Scholar, ResearchGate, Slashdot,