Katalin Berlow

I am a PhD candidate in my fifth year at UC Berkeley, advised by Andrew Marks and Robin Tucker-Drob. My research focuses on applied descriptive set theory, especially descriptive combinatorics, measured group theory, and their applications to ergodic theory and geometric group theory.

I am grateful to be supported by an NSF Graduate Research Fellowship and a Simons Dissertation Fellowship.

I am currently on the job market. Here is my CV.

Office: 1057 Evans Hall
Email: [first name] at berkeley dot edu

BS: Mathematics, Carnegie Mellon University (2017–2021)
PhD: Mathematics, UC Berkeley (2021–2026)

Riddle list

Research

Papers in Preparation

A Measurable Analog of Euler's Formula in Pmp Graphs
[In preparation, 2025+]
Separating Complexity Classes of LCL Problems on Grids, Part 2
with Anton Bernshteyn, Clark Lyons, Felix Weilacher
[In preparation, 2025+]
Equivalence Relations Acting on Bundles of Trees
with Ronnie Chen, Robin Tucker-Drob, Anush Tserunyan
[In preparation, 2025+]

Papers (Graduate School)

Separating Complexity Classes of LCL Problems on Grids
with Anton Bernshteyn, Clark Lyons, Felix Weilacher
[arXiv] [Slides]
Borel Polychromatic Number of Grids
with Edward Hou
[arXiv]

Papers (Undergraduate)

Intersection Bodies of Polytopes
with Marie Brandenburg, Chiara Meroni, Isabelle Shankar
[arXiv] [Journal]
Restricted Stacks as Functions
[arXiv] [Journal] [Slides]
Almost Abelian Lie Groups, Subgroups, and Quotients
with Marcelo Almora Rios, Zhirayr Avetisyan, Isaac Martin, et al.
[arXiv] [Journal]

Whimsical toast image used in research section

Expository

Here are some expository documents I have written:

Amenable Groups Acting on Trees
[Notes]

Instructor at Berkeley

I have been main instructor for the following courses.

Math 110: Abstract Linear Algebra
[Course Website]

TA at Berkeley

I have been a TA for the following courses.

Math 1B: Calculus
Math 54: Linear Algebra and Differential Equations
Math 74: Transition to Upper Division Mathematics

TA at Carnegie Mellon

I have been an undergraduate TA for the following courses.

21-127: Concepts of Mathematics
33-142: Physics II for Engineers

About

I grew up in Fresno, California. Here is how I spend my time other than math:

Playing

Board games
The game Hex
Netrunner and Magic: The Gathering

Listening

Classical music (clarinet)
Midwest emo music (Spotify playlist)
Listening to audiobooks
Composing orchestral arrangements of pop songs

Moving

Bouldering
Latin dance

Eating

Cooking Hungarian food
Consuming energy drinks

Miscellaneous

Here are some other things I have made:

Riddles
[Link]
Paintings
[Link]

Rectangular toast generator made by an undergrad I mentored: Atticus Cull .

My Erdős number: 3