Andrew Krenz

After graduating from Purdue University in 2018, I began
studying math as a graduate student at the University of Wisconsin - Madison.
I am advised by a geometric group theorist Tullia Dymarz and dynamicist Chenxi Wu.
I will be on the job market fall 2024. Here is a copy of my CV (last updated 10/26/24).
Feel free to contact me; my wisc dot edu e-mail address is "krenz3 at."

Research Interests

I like thinking about categories. In particular, I'm interested in categorical logic/algebra, functional programming languages
(especially Haskell), and categorical database theory. I also have some familiarity with the applications of category theory
to quantum computing.

Papers & Presentations

Here is the current draft of my PhD thesis: CMA (feedback is encouraged and appreciated)
a related poster (presented at the University of Santiago de Compostela during the sixth international conference on category theory)
and expository notes (partially presented at Octoberfest 2024)

Teaching

Term Course Position
Fall 2018 Math 221: Calculus and Analytic Geometry 1 Teaching Assistant
Spring 2019 Math 221 TA coordinator
Fall 2019 Math 234: Calculus -- Functions of Several Variables TA coordinator
Spring 2020 Math 222: Calculus and Analytic Geometry 2 TA coordinator
Summer 2020 Math 221 Teaching Assistant
Fall 2020 Math 234 TA coordinator
Spring 2021 Math 340: Elementary Matrix and Linear Algebra Teaching Assistant
Summer 2021 Math 240: Introduction to Discrete Mathematics Insructor of Record
Fall 2021 Math 112: Algebra Instructor of Record
Spring 2022 Math 112 Instructor of Record
Summer 2022 Math 222 Instructor of Record
Fall 2022 Math 221 TA coordinator
Spring 2023 Math 222 Teaching Assistant
Summer 2023 Math 240 Instructor of Record
Fall 2023 Math 320:Differential Equations and Linear Algebra Teaching Assistant
Summer 2024 Differential and Algebraic Topology (SEP) Instructor
Fall 2024 Math 288: Wisconsin Emerging Scholars (Calculus 3) Teaching Assistant

Algebraic Topology Quals

Mapping Cones and Cylinders Smith Form Visualizations

Discrete Math Lecture Notes

If you choose to view or download these notes, keep in mind the fact that
I have noticed certian browsers tend to omit some pen strokes (especially
single points/dots). This does not seem to be a problem for me when browsing
mobile Safari, for example.
Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5
Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10
Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15
Lecture 16 Lecture 17 Lecture 18 Lecture 19 Lecture 20
Lecture 21 Lecture 22 Lecture 23 Lecture 24

Calc 2 Lecture Notes

FToC U-Sub By Parts Trig
Partial Fractions Linear ODEs

Higgins: Categories & Groupoids

Chapter 1 Chapter 6