About
I am a research fellow at the University of British Columbia. I am mentored by Pablo Shmerkin and Joshua Zahl. I obtained my PhD from the University of Warwick in 2024, supervised by András Máthé, Before that, I completed an MSci in Mathematics at the University of Bristol. My final year project was supervised by Thomas Jordan.
Research interests
Approximate incidence geometry, discretised sum-product problems, Fourier decay of fractal measures.
Research
Simple proofs of discretised projection theorems (with Pablo Shmerkin and Hong Wang)
Incidence estimates for quasi-product sets and applications (with Ciprian Demeter) (submitted)
Covering sponges with tubes (Ann. Fenn. Math.)
Sum-product phenomena for Ahlfors-regular sets (submitted)
Discretised sum-product theorems by Shannon-type inequalities (with András Máthé) (To appear in J. London Math. Soc.)
Teaching
I am a small class instructor for differential calculus with applications and integral calculus with applications.
Contact
woregan at math dot ubc dot ca