EBU-3B

La Jolla, CA, 92092

Office 4232

nmhopkin@eng.ucsd.edu

I am a first-year NSF Graduate Research Fellow in the theory group at UCSD, where I am advised by Daniel Kane and Shachar Lovett.

I did my undergraduate BA in Mathematics at Harvard University with a minor in Computer Science. In my time there, I was lucky enough to work under Michael Mitzenmacher and Madhu Sudan.

My current research lies in learning theory, but I am widely interested in algorithms and complexity and have previously worked on problems in coding theory and compression. I am especially interested in applications of algebra and combinatorics to computer science.

I like singing, boardgames, squash, and sushi (in no particular order).

**Doppelgangers: the Ur-Operation and Posets of Bounded Height**

Thomas Browning, Max Hopkins, Zander Kelley

Extended Abstract appeared in Proceedings of FPSAC 2018**Simulated Annealing for JPEG Quantization**

Max Hopkins, Michael Mitzenmacher, Sebastian Wagner-Carena

DCC 2018 (poster)

Code

**Representation-Theoretic Techniques for Independence Bounds of Cayley Graphs**

My undergraduate thesis under Madhu Sudan

**Bordism Homology**

A survey of un-oriented bordism homology

**On the Cohomology of Dihedral Groups**

Undergraduate Math Junior Talk, May 2017

**Understanding Doppelgangers and the Ur-Operation**

UW Math REU, August 2016

TA for APMTH 106, Applied Algebra, Fall 2017.