Oliver Knill Homepage

Summer, 2019: I teach Maths21a this summer. New in graph geometry: On Numbers and Graphs and slides. A Parametrized Poincare-Hopf theorem and slides. Travel photos: I, II and III, IV and V. Summer photos: I. The energy of a simplicial complex [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.
Fall, 2018: I teach Math 22a this fall (Catch 22!). More Summer photos (I), (II), (III). Eulerian Edge refinements, geodesics, billiards and sphere coloring [ArXiv], see also the blog entry on the Euler Game. In the Mathtable talk on Goldbach, showed also a clip from Fermat's room. Fall photos: (I), (II) with Bacow inauguration, (III). Cartan's Magic Formula [ArXiv]. Fall/Winter photos (IV) with khipus. (IV) with CS50 fair.
Summer, 2018: I teach Maths21a. New in graph geometry: the paper Combinatorial manifolds are Hamiltonian. See also the Blog entry or Slides. Summer photos (I). (II). (III). Something about creativity and computer algebra. Some fundamental theorems [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, Vimeo, Linkedin, Scholar Harvard, Academia, Harvard Academia, Google Scholar, ResearchGate, Slashdot, Ello, Webcam, Fall 2018 office hours: TBA Mon-Fri 11:30-12:30 AM and by appointment.