Jack Ceroni's Home Page

About

I am a first-year PhD student at the University of Chicago. My current research interests are mostly related to geometric analysis. I'm also interested in applying mathematical tools to study problems in quantum information and finance. Prior to Chicago, 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.

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 my blog, where I mostly write about math-adjacent topics (and occasionally other things)
• Here is a list of notes I have written for school/talks/learning/fun:
  • Existence of 5 minimal tori in 3-spheres of positive Ricci curvature [WIP]
  • Derived functors, derived categories, and cohomology
  • Perelman's proof of the Soul Conjecture, final project for MAT464 (Riemannian geometry) at the University of Toronto
• Here are some partial solution sets I've written for various textbooks:
  • Some solutions to Algebraic Geometry by Hartshorne
  • Some solutions to Petersen's book on Riemannian geometry
  • Some solutions to Introduction to Symplectic Topology by McDuff and Salamon
  • Some solutions to Partial Differential Equations by Evans
  • Some solutions to Gordan Zitkovic's probability course notes
  and here are a few more things I've written which are worth putting on this website:
  • Some assorted facts and results in differential geometry

Miscellaneous

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