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
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.
Calc 2 Lecture Notes
Higgins: Categories & Groupoids