Oliver Knill Homepage

Spring, 2018: Math 21b and (Canvas for admin). (Why?) Winter photos: Part I, Part II, and Part III. January photos (with Vermont): Part I, Part II, and Part III. Winter work on Dyadic zeta [ArXiv] with Blog. Listening to cohomology [ArXiv] which mentions the Green star formula. Euler's day 2/7/18: Handout [PDF], Rehearsal [Youtube], Slides [Youtube]
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.
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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, Spring 2018 office hours: Mon-Fri 4-5 PM and by appointment.