Katalin Berlow

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]

Talks

Upcoming invited talks

• LCLs on Grids
  Drafting Workshop in Discrete Mathematics, Number Theory and Probability, Budapest, Jan 2026.
• Borel combinatorics on grids
  AMS Spring Western Sectional Meeting, Boise, Idaho, Mar 7–8, 2026.
• Title TBD
  Caltech Logic Seminar (Zoom), Apr 15, 2026.

Past Invited talks

• A Measurable Analog to Euler’s Formula in Pmp Graphs
  North American Descriptive Set Theory, University of Maryland, Oct 2025.
• Separating Complexity Classes of LCLs on Grids
  CanaDAM, Ottawa, May 2025.
• Separating Complexity Classes of LCLs on Grids
  South Eastern Logic Symposium (SEALS), University of Florida, Mar 2025.

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: I like playing board games (especially the game Hex), and I also play Netrunner and Magic: The Gathering. I listen to classical music and play clarinet, and I also listen to Midwest emo (Spotify playlist). I enjoy audiobooks, and I like composing orchestral arrangements of pop songs. I boulder and do Latin dance.

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