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 academic 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–present)

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 Maathematics
33-142: Physics II for Engineers

Miscellaneous

Here are some other things I have made:

Riddles
[Link]
Paintings
[Link]

Erdős number: 3