Photo cred to Cynthia Guo

Max Hopkins

La Jolla, CA, 92092
Office 4232


I am a second-year PhD student in the theory group at UCSD, where I am advised by Daniel Kane and Shachar Lovett and supported by NSF and Jacobs Fellowships. 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.

I co-host the weekly UCSD Theory Lunch on Thursday's with Sam Mcguire. Past and upcoming talks can be found here.

My work mostly focuses on the intersection of learning theory and computational geometry, though I have recently become interested in High Dimensional Expanders and higher-order random walks as well.

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


Conference Papers

  1. Noise Tolerant, Reliable Active Classification with Comparison Queries
    Max Hopkins, Daniel Kane, Shachar Lovett, Gaurav Mahajan
    To Appear COLT '20

  2. Doppelgangers: the Ur-Operation and Posets of Bounded Height
    Thomas Browning, Max Hopkins, Zander Kelley
    Extended Abstract appeared in Proceedings of FPSAC 2018

  3. Simulated Annealing for JPEG Quantization
    Max Hopkins, Michael Mitzenmacher, Sebastian Wagner-Carena
    DCC 2018 (poster)

Journal Papers

  1. A Novel CMB Component Separation Method: Hierarchical Generalized Morphological Component Analysis
    Sebastian Wagner-Carena, Max Hopkins, Ana Rivero, Cora Dvorkin
    MNRAS, May '20


  1. Point Location and Active Learning: Learning Halfspaces Almost Optimally
    Max Hopkins, Daniel Kane, Shachar Lovett, Gaurav Mahajan
    Submitted to FOCS '20

  2. The Power of Comparisons for Actively Learning Linear Separators
    Max Hopkins, Daniel Kane, Shachar Lovett
    Submitted to NeurIPS '20


  1. Pseudorandom Sets in High Dimensional Expanders Expand Nearly Perfectly
    Max Hopkins, Tali Kaufman, Shachar Lovett
    In Preparation

Miscellaneous Writing


  • UCSD Theory Seminar or Lunch

    • Small Set Expansion in the Johnson Graph through High Dimensional Expansion (Fall '19)

    • High Dimensional Expanders: The Basics (Summer '19)

    • Reasoning in the Presence of Noise (Spring '19)

    • The Power of Comparisons for Active Learning (Winter '18)

  • Undergraduate Talks

    • On the Cohomology of Dihedral Groups (Spring '17)

    • Understanding Doppelgangers and the Ur-Operation (Summer '16)


  1. TA for CSE 200, Computability and Complexity, Winter 2020.

At Harvard
  1. TA for APMTH 106, Applied Algebra, Fall 2017.