“K–theory and the Hopf Invariant.” The Quarterly Journal of Mathematics 17, no. Addison Wesley Longman Publishing Company, 1989. “ On Manifolds Homeomorphic to the 7–sphere.” Annals of Mathematics 64, no. “Signature Theorem.” In Characteristic Classes (Annals of Mathematics Studies). “ Quelques propri´et´es globales des vari´et´es diff´erentiables.” Commentarii Mathematici Helvetici 28 (1954): 17–86. “ Quelques propriétés globales des variétés différentiables.” Commentarii Mathematici Helvetici 28 (1954): 17–86. Characteristic Classes (Annals of Mathematics Studies). “ The Geometric Realization of a Semi–simplicial Complex.” Annals of Mathematics 65, no. “ Cohomologie Modulo 2 des Complexes d’Eilenberg–Maclane.” Commentarii Mathematici Helvetici 27, no. After the formal talk, the instructor debriefs with the speaker during office hours, discusses the mathematics and the presentation, and helps the speaker decide on his or her next paper. Each talk is preceded by a student-organized “practice talk,” to which the participants are invited but the instructor is not. These talks are generally an hour in length and occur during the regular meeting time for the course (typically 1 hour per session 3 times per week). In this section, Professor Haynes Miller shares the seminal papers featured during math talks, and the order in which students presented them.Įach participant reports on three seminal papers in algebraic topology over the course of the semester. Arrow_back browse course material library_books