Slides
- The homotopy
theory of ideals of ring spectra, Midwest Topology
Seminar, 2024.
- The homotopy
theory of ideals structured by operads, OSU, 2023.
- Smith Ideals of Operadic Algebras
in Monoidal Model Categories, Prague 2022
- Homotopy Theory
of Algebras of Substitudes and their Localisation,
Brno, 2022.
- 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.
Lecture
Notes for Talks
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.
Expository
Writings