Slides

Be warned: these are designed to be very conversational and have not been edited. Also, they don't exist for all my talks. Sometimes I used hand-written notes.

- On the Existence of N-infinity operads in equivariant homotopy theory, Lehigh University Geometry and Topology Conference, June 2019.
- Encoding Equivariant Commutativity via Operads, Joint Mathematics Meeting, Seattle, January 2016.

- Baez-Dolan Stabilization and the Importance of Left Properness, Lehigh University Geometry and Topology Conference in honor of Don Davis, May 2015

- Bousfield Localization and Commutative Monoids, Homotopy Theory Special Session, Mathematics Joint Meetings, Baltimore, January 2014
- Traversals of Infinite Graphs with Random Local Orientations, Mathematics Joint Meetings, Baltimore, January 2014
- Localization and Ring Objects in Model Categories, Graduate Student Topology Conference, Indiana University, March 2012. Lecture Notes.
- Dimension Theory of Rings and Ring Spectra, Graduate Student Topology and Geometry Conference, Michigan State University, April 2011. Lecture Notes.
- Homological Dimensions of Ring Spectra, Wesleyan Topology Seminar, March 2011. Lecture Notes.
- Schema Theory, Topics in Computer Science, Wesleyan University, November 2009.
- Applying Genetic Algorithms to Ramsey Theory, Topics in Computer Science, Wesleyan University, November 2009.
- An Introduction to Ramsey Theory, Spuyten Duyvil Math Conference, SUNY New-Paltz, April 2009. Lecture Notes.
- The Structure of Digroups, SUMS Conference, Brown University, March 2008.
- An Investigation into the Structure of Digroups, Wabash College Mathematics Conference, Wabash Summer Institute in Algebra, July 2007.

Be warned: these are designed to be very conversational and have not been edited. Also, they don't exist for all my talks. Sometimes I used hand-written notes.

- Category Theory as a Universal Medium for Scientific Inquiry, Denison University, September, 2015. I turned these lecture notes into a (hopefully more coherent) answer on mathoverflow.

- Eilenberg-Moore Model Categories and Bousfield Localization, Australian Category Seminar, Macquarie University, Sydney, July 2014.

- Recurrence Theorems for Various Types of Random Walks, Job Talk, Denison University, January 2014.
- Bousfield Localization and Algebras over Operads, Topology Seminar, University of Chicago, January 2014
- Monoidal Bousfield Localization for Model Structures on Equivariant Spectra, Topology Seminar, University of Virginia, November 2013.
- A General Theory of Localizations, Faculty Seminar, Bowdoin College, October 2013.
- Motivic localization, cellularization, and Brown-Comenetz duality, Union College Mathematics Conference: Algebraic Topology Session, October 2013.
- Localization, Universal Properties, and Homotopy Theory, Graduate Student Seminar, Wesleyan University, October 2013.
- Localizations in Triangulated Categories and Model Categories, Topics in Homotopy Theory, Wesleyan University, October 2013.
- Motivic Homotopy, Stabilization, and Localization, Graduate Student Seminar, Wesleyan University, October 2013.
- Triangulated Categories and Stable Model Categories, Topics in Homotopy Theory, Wesleyan University, September 2013.
- Stable Model Categories are Categories of Modules, WCATSS13, Eugene, Oregon, September 2013. Note: I may update this link at some point with more proof details.
- An Introduction to Model Categories, WCATSS13, Eugene, Oregon, September 2013. Note that this was an off-the-cuff talk because I had to fill in for a missing speaker at the last minute, so these notes are especially messy.
- Bousfield Localization, MIT Juvitop Seminar, Boston, MA, March 2013. Video.
- Some New Results in Homotopical Algebra, Graduate Student Seminar, Wesleyan University, February 2013.
- Model Categories and Operads, Graduate Student Seminar, Wesleyan University, January 2013.
- Some Advice for First Time Teachers, Undergraduate Forum, Wesleyan University, November 2012.
- Traversals of Infinite Graphs with Random Local Orientations, Computer Science Seminar, Wesleyan University, May 2012.
- Recurrence Theorems in Various Random Walks, Mathematics Colloquium, Central Connecticut State University, April 2012.
- An Analog of Polya's Theorem for a New Type of Random Walk, SIGMA Seminar, University of Connecticut, April 2012
- Applying Localization to Categories, Graduate Student Seminar (GRASS), University of Massachusetts at Amherst, February 2012.
- How a Robot can Explore an Infinite Graph, Topics in Graph Theory, Wesleyan University, December 2011.
- An Overview of Localization in Stable Homotopy Theory, Graduate Student Seminar, Yale University, November 2011.
- Bousfield Localization and Monoidal Model Categories, Graduate Student Seminar, Wesleyan University, September 2011.
- Formal Groups and the Uniformization Theorem for Elliptic Curves, Topics in Algebra, Wesleyan University, May 2011.
- Homological Dimensions of Rings, Graduate Student Seminar, Wesleyan University, December 2010. Handout (in preparation for my next talk)
- The Normalization Theorem, Topics in Computer Science, Wesleyan University, April 2010.
- Recursively Enumerable Sets and the Church-Turing Thesis, Graduate Student Seminar, Wesleyan University, March 2010.
- Formulating Bounds on Ramsey Numbers, Graduate Student Seminar, Wesleyan University, October 2009.
- Invariant Theory of Finite Groups, Topics in Algebra, Wesleyan University, May 2009.
- Topics in Algebraic Geometry: Elimination, Dimension, Syzygies, and Intersection Theory, Graduate Student Seminar, Wesleyan University, April 2009. Supplement on Invertible Sheaves.
- An Introduction to Ultrafilters and their Applications, Graduate Student Seminar, Wesleyan University, February 2009.

- Coming Soon: An Updated Version of Mark Hovey's Open Problems in Model Categories
- NSF EAPSI Abstract, April 2014, a 300 word summary of my proposed research for the summer of 2014 under the NSF EAPSI Program (jointly funded by the Australian Academy of Science).
- On Colimits in Various Categories of Manifolds, December 2012.
- The Spectral Category and Von Neumann Regular Rings, July 2011 translation of Spektralkategorien und regulare Ringe in Von-Neumannschen Sinn, by Peter Gabriel and Ulrich Oberst (1965).
- An Overview of
Schema Theory, December 2009. Also available as arxiv 1401.2651. Published in 2018 in the Graduate Journal of Mathematics.