Jack Ceroni's Home Page

About

I am a first-year PhD student at the University of Chicago. Prior to this, I was an undergraduate student at the University of Toronto. I also worked as a research intern at Xanadu and a research scientist at Extropic. My current research interests are mostly related to geometric analysis and its interactions with topology. I am also interested in several more applied fields, such as probability and mathematical methods for finance, quantum information, and quantum chemistry.

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

Selected 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 some shorter writings on math
• Here is a list of notes I have written for school/talks/learning/fun:
  • Derived functors, derived categories, and cohomology
  • Perelman's proof of the Soul Conjecture, final project for MAT464 (Riemannian geometry) at the University of Toronto
  • Some solutions to Algebraic Geometry by Hartshorne

Miscellaneous

• I sometimes write stuff online...read at your own peril. Dark Star (Substack)
• A few artists who inspire me: Edward Hopper, Björk, Wim Wenders, Jonathan Franzen
• Here is a list of books I have read recently