I am passionate about education and strive to make my classrooms active and fun learning environments. My pedagogical philosophy is centered on the premise that mathematics is best retained when students are involved with it dynamically; namely, I hope my students develop an appreciation and mastery of mathematics through lively discussions with their peers and creative (collaborative) problem solving.
Below are courses that I am currently teaching or recently taught; see my CV for a full list of courses taught. Current students, please see the Blackboard course webpage.
Spring 2025:
MAT 732: Homological Algebra
Fall 2024:
MAT 534: Introduction to Abstract Algebra
MAT 830: Topics in Algebra
Fall 2023:
MAT 331: Linear Algebra
Doctoral students:
Dorian Kalir (current)
Kory Pollicove (current)
Reading courses:
I have supervised several reading courses using the following:
Atiyah and MacDonald's Introduction to commutative algebra (Undergraduate students)
Bruns and Herzog's Cohen Macaulay rings (Graduate/advanced undergraduate students)
Avramov's Infinite free resolutions (Primarily graduate students)
Dwyer and Spalinkski's Homotopy theories and model categories (Graduate students)
Interested in doing a reading course (graduate* or undergraduate level)? Shoot me an email, so we can set up an initial chat.
*Graduate students interested in having me as a PhD advisor are strongly encouraged to do a year long reading course with me before I will even consider being their advisor; even then there are no guarantees we will be a good fit, but at the very least I can point you to an advisor with common interests to your own. So reach out ASAP!
Course Notes from the algebra topics course I taught Fall 2024 at Syracuse University on stable categories over Gorenstein rings; these consist of the foundational part of the course before jumping into more specialized topics like matrix factorizations, the singularity category for complete intersection rings, and D. Murfet's very nice paper.