Jack Ceroni's Home Page

About

In the Fall of 2025, I will be starting my PhD at the University of Chicago. Prior to this, I was an undergraduate student at the University of Toronto.

My research interests are (very broadly) related to differential and algebraic topology/geometry and mathematical physics. Much of my undergraduate research was in quantum algorithms and quantum information, but this is no longer my main focus.

Send me an email, if you want: jceroni@uchicago.edu | UChicago math department page

Papers

• Non-Markov quantum belief propagation (with Ian MacCormack and Guillaume Verdon) Phys. Rev. A 110, 012435
• Modular quantum signal processing in many variables (with Zane Rossi and Isaac Chuang) Quantum 9, 1776

Talks

• An A-infinity algebra generalization of the De Rham theorem (Fields Institute Geometric Structures Laboratory Seminar) Link

Notes and Academic Writings

• Here is a link to my math blog, where I write about random things
• Here is a list of notes I have written for school/talks/learning/fun:
  • Perelman's proof of the Soul Conjecture, final project for MAT464 (Riemannian geometry) at the University of Toronto
• Here are some solutions to exercises in various textbooks/other places:
  • Algebraic Geometry by Hartshorne
  • Introduction to Symplectic Topology by McDuff and Salamon

Miscellaneous

• I sometimes write stuff online...read at your own peril. Dark Star (Substack)
• I used to work at Xanadu, as well as Extropic. Both companies are very cool and have done a lot for me. Check them out!
• My super secret Twitter