Fall 2024
Math 7590 Combinatorial Algebraic Topology
- Fall 2024
- Prerequisite: Math 7512 Topology II
- Text: Combinatorial Algebraic Topology by Kozlov
- Description: We will learn about some fundamental tools for computing algebraic invariants of a topological space with an underlying combinatorial structure (eg. a partially ordered set). Topics may include, as time and interest allows, discrete Morse theory, shellability, sheaf theory, (homotopy) colimits, and spectral sequences.
Previous Teaching Experience
At Louisiana State University:
- Math 1550 Calculus I : Fall 2020
- Math 2085 Linear Algebra : Spring 2023
- Math 2090 Differential Equations and Linear Algebra : Spring 2022 (x2)
- Math 4997 Vertically Integrated Research (with Dan Cohen) : Fall 2022, Spring 2023, Fall 2023, Spring 2024
- Math 7510 Topology 1 : Fall 2022, Fall 2023
- Math 7590 Arrangements and Configuration Spaces : Fall 2021
At the University of Michigan:
- Math 115 Calculus I : Fall 2017 (x2)
- Math 217 Linear Algebra : Winter 2018 (x2), Fall 2018 (x2)
- Math 465 Intro to Combinatorics : Winter 2019 (x2), Fall 2019 (x2), Winter 2020 (x2)
At the University of Western Ontario:
- Calc 1000A Calculus I : Fall 2015
- Math 1228B Methods of Finite Math : Winter 2016
- Math 1600A Linear Algebra I : Summer 2016
- Math 2151A Discrete Structures for Engineering : Fall 2016
At the University of Oregon:
- Math 111 College Algebra : Fall 2009, Winter 2010, Spring 2010, Summer 2010, Fall 2011, Fall 2012 (x2)
- Math 112 Elementary Functions : Winter 2013
- Math 242 Business Calculus II : Winter 2011 (TA), Spring 2011 (TA), Summer 2012
- Math 243 Statistics : Fall 2010 (TA), Summer 2011
- Math 251 Calculus I : Winter 2012, Spring 2012, Fall 2013, Fall 2014
- Math 252 Calculus II : Winter 2014, Winter 2015
- Math 315 Elementary Analysis : Spring 2015