This page contains notes from some seminar/reading group talks I've given/attended.
Symmetry of exotic negatively curved manifolds. notes
Surface bundles with fiber-preserving group action. notes
Braid groups and Nielsen realization. notes
Minicourse on the topology of diffeomorphism groups. Notes
Pontryagin classes of locally symmetric spaces. notes
Topics course spring 2017: Cohomology of mapping class groups. lecture notes
The Cremona group (Summer 2016, Stanford). Reading group organized by Alex Wright. Official website here. Below are some of my notes from the different lectures.
Introduction (by Alex Wright). notes
Rational maps and blow ups (by Tony Feng). notes
Generating the Cremona group. notes
Foliations reading group (Winter 2016, Stanford). This reading group is organized by Sander Kupers, Katie Mann, and me. The official website is here. Below are my notes from the talks with some of my own additions/subtractions. In particular, any errors are probably mine (not the speakers').
Part 1. Basic results
Introduction to foliations. notes
Holonomy and Reeb stability (by Weston Ungemach). notes
Haefliger's theorem on compact leaves (by Ben Dozier). notes
Thurston stability theorem (by Katie Mann). notes
Poincare-Bendixson theorem (by Laura Starkson). notes
Part 2. Codimension-1 foliations of 3-manifolds
Introduction: topology of the space of foliations (by Katie Mann). notes
Thurston's theorem: existence of codimension-1 foliations (by Weston Ungemach). notes
Deformation of plane fields (by Cedric De Groote).
Foliating solid tori (in families). notes
Farb and Friends Student Seminar (Chicago).
The Borel conjecture, hyperbolic groups, and hyperbolization, May 2015. notes
Pontryagin classes for a locally symmetric manifold, Feb. 2014. notes
Some groups of mapping classes not realized by diffeomorphisms, Mar. 2013. notes
Mostow rigidity and bounded cohomology, Dec. 2012. notes
Homotopy types of diffeomorphism groups, May 2012.
Rigidity reading group (Summer 2014, Chicago).
Goldman's theorem, Sept. 2014. notes
Volume rigidity, Aug. 2014. notes
Representation rigidity and Kneser's theorem, July 2014. notes
The degree theorem, July 2014. notes
Pizza seminar (Chicago).
Holla if ya sphere me, Pizza seminar, Oct. 2014. notes
Associations of a non-associative algebra, Pizza seminar, Nov. 2012. notes
Flat bundles, the Euler class, and Milnor-Wood, Harvard grad geometry seminar, Nov. 2016. notes
Poincare duality and local coefficients, PIMS Summer school on surgery, July 2016. notes
Surface bundles, branched covers, and arithmetic groups, Stanford topology progress seminar, May 2016. notes
Sullivan's theorem: arithmeticity and mapping class groups, Stanford student topology seminar, Nov. 2015. notes
Random walks on groups, Chicago student seminar on random walks, Jan. 2015. notes
Gelfand-Fuks cohomology, Chicago diffeomorphism groups seminar, Nov. 2014. notes
Applications of Ratner's theorem to hyper-Kaehler manifolds, Chicago applications of Ratner seminar, Oct. 2014. notes
Bott periodicity, Farb geometric literacy: Morse theory, Winter 2014. notes
Differential forms, Chicago WOMP 2014. notes
Introduction to Harer stability, Reading group, May 2015. notes