Oliver Knill Homepage

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.
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].
Spring, 2018: Math 21b (Canvas). Winter photos: I, II, and III. January photos (with Vermont): I, II, and III. Dyadic zeta [ArXiv] with Blog. Hear cohomology [ArXiv]. Euler's day 2/7/18: [PDF], Talk [Youtube], Slides [Youtube]. Hydrogen [ArXiv]. AMS Apr 21-22, Notes [PDF] slides and cohomology. Summer 2018. Syntax Spring photos I, II, III.
Fall, 2017: I teach Math 21a Multivariable calculus (Canvas) and Teaching Math with a historical perspective (Canvas). ArXiv: "The strong ring" and as a follow up: discrete Atiyah-Singer (and blog entry), for graph geometry. Travel photos: I, II, III. Energy of a complex. Chandra (1920-2017). Fall photos: I, II, III, IV. One can hear the Euler characteristic of a complex [ArXiv].
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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, Google plus, Google Scholar, ResearchGate, Slashdot, Ello, Webcam, Fall 2018 office hours: TBA Mon-Fri 11-12:30 AM and by appointment.