Oliver Knill Homepage

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].
Summer, 2017: I teach the Maths21a this summer. Some Barycentric refinement. Summer photos: I, II, III, IV. Clips: 10-2=20, 12% > 11%. Updates graph geometry: Dehn-Sommerville [ArXiv], arithmetic of graphs [ArXiv], Strong ring of simplicial complexes [PDF], Slides: Hardy-Littewood race and Middlesex canal with Slides. Some amazing identities by Monisharan Maheswaran.
Spring, 2017: Math21b (Canvas). Quantum Calc. Block Island, Boston library. Winter: I, II, III, IV, V, office, lab. The algebra adventure. Sphere geometry with slides, and Helmholtz free energy. Entropy in film. Spring I. II. III. 50 years SJF.
Fall, 2016: Math21a at college and Math E320 at extension. Update graph geometry: graphs related to counting and particles and primes. Fall 2016 Photos. SIAM talk 9/30, 2016, slides. Also SIAM resources. Related: Math-candy.com and Rocky run. Mystic run. Mathtable [PDF]. More Fall 2016 Photos, Swiss movies and River panoramas. Apropos: On time and the river and Goodwill problem revisited. Unimodularity theorem and slides.
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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 Twitter, Youtube, Vimeo, Linkedin, Scholar Harvard, Academia, Google plus, Google Scholar, Ello, Webcam, Fall 2017 office hours: Mon-Fri 4-5 PM and by appointment.