This page contains notes from some seminar/reading group talks I've given/attended.

**Research talks**

- Surface bundles, monodromy, and arithmetic groups. notes
- Characteristic classes of manifold bundles from arithmetic groups. slides, notes, slides
- Relatively hyperbolic groups with 2-sphere boundary. slides, notes, video
- Surface bundles with fiber-preserving group action. notes
- The Wall conjecture and hyperbolic groups. video, notes, notes
- Obstruction to Nielsen realization. notes, notes, video
- Braid groups and Nielsen realization. notes
- Minicourse on the topology of diffeomorphism groups. Notes
- Point-pushing and Nielsen realization. notes, slides
- 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

**Misc. **

*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