Andrew Krenz

I'm a grad student at the University of Wisconsin-Madison. I studied math at Purdue University from 2014-2018. My thesis advisor is Tullia Dymarz. You can contact me at krenz3@wisc.edu

Research Interests

I'm interested in group homology, coarse homology theories, applications of groupoids to group theory, hyperbolic geometry and hyperbolic groups.

Teaching

Term Course
Fall 2018 Math 221: Calculus 1
Spring 2019 Math 221 (TA coordinator)
Fall 2019 Math 234: Multivariable Calculus (TA coordinator)
Spring 2020 Math 222: Calculus 2 (TA coordinator)
Summer 2020 Math 221

Here are some notes I took while studying over the past few years. I tried to draw pitures whenever possible. Sorry if there are any errors.

Algebra

Group Theory Cyclotomic Extensions of Q Commutative Rings

Hatcher: Algebraic Topology

Covering Spaces RP^n Sticky Notes

Algebraic Topology Qual

Problems More Problems Manifold type problems An old qual

Bridson & Haefliger: Metric Spaces of Nonpositive Curvature

Approximate Midpoints Alexandrov's Lemma Comparison Triangles Rectifiable Paths Normed Vector Spaces

Higgins: Categories & Groupoids

Chapter 1 Chapter 6