Fall 2026

Jiwon Park (UMass Lowell):

Abstract: to be announced.

Matthew Badger (University of Connecticut): 3d Brownian motion and sets of dimension 2.999999

Abstract: As you breathe, air eventually reaches the alveoli in your lungs. You might wonder if a particle of air is equally likely to reach all parts of your lungs. The answer is emphatically no! Mathematically one explanation is a theorem of Bourgain, which states that for any closed set in space, there is always a subset of Hausdorff dimension less than 3, which contains all the points of the set where a randomly moving particle can land. In this talk, I will present explicit numerical bounds on the dimension of the subset in Bourgain's theorem, obtained in joint work with Michael Albert and Alyssa Genschaw. I will focus on the story of how we arrived at these results, the role of software and AI in mathematical exploration, and potential for future improvements.

Ke Huang (UMass Lowell):

Abstract: to be announced.

Omar Hurtado (Georgia Tech):

Abstract: to be announced.

Caitlin Lienkaemper (MIT):

Abstract: to be announced.

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This colloquium is coordinated by: Emily GunawanAmanda Redlich, Joris Roos, Bobbie Wu, Shiwen Zhang