Oliver Knill Homepage

Fall, 2024: Upper level coordination, Fall, 2024, Differential geometry, Fall 2024. Tutorial 99R Fall 2024. More about integrable systems in geometry [ArXiv]. Sept 2:, 2024 Gauss-Bonnet for Form Curvatures [ArXiv] and (code on Wolfram community blog. Sept 13: 2024 Colorful rings of Partitions [PDF]. Photos of Class reunion.
Summer, 2024: Math S 21a, Summer 2024, Revision of the Eigenvalue estimate paper is now published. 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].
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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,