Oliver Knill Homepage

Spring, 2020: I teach Single Variable this spring. A bit more about index expectation in diff geometry related to Hopf conjectures. About the picture to the right.
Fall, 2019: I teach Math 21a this fall. New in graph geometry: Energized complexes [ArXIV]. (A few slides.) Some notes from Professional norms in math. A simple sphere theorem ArXiv). A PDE lecture. Poincare-Hopf for vector fields [ArXIV] and more [ArXIV] and Constant curvature [ArXiv]. Hopf conjectures [ArXiv] and photos: Marthasvineyard.
Summer, 2019: I teach Maths21a. New: Numbers and Graphs and slides. A Parametrized Poincare-Hopf and slides. Travel: I, II and III, IV and V. Summer: I. The energy of a simplicial complex [PDF]. Tech: Povray is great. New in graph geometry: Counting Matrix [PDF].
Spring, 2019: I teach Math 22b. Winter photos: Nantucket I, and II. New in graph geometry: A Reeb sphere theorem in Graph theory. Winter Harvard I, II, III. Some Plumber stories. New graph geometry: the average simplex cardinality and Dehn-Sommerville from Gauss-Bonnet and slides and blog entry and Gauss-Bonnet. Spring photos.
Continue here for older news ...

Personal

Mathematics

Teaching

Technology

Various

Media


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, Ello, Webcam, Fall 2019 office hours: Tentative: Mon-Fri 11:30-12:30 AM and by appointment.