Previous Conferences & Workshops

We will discuss stochastic quantization i.e. Langevin dynamic of the Yang-Mills model on two and three dimensional torus. This is described by a Lie algebra valued stochastic PDE driven by space-time white noise. We construct $(local)$ solution to...

I will review some recent progress on regularity properties of vortex and SQG patches. In particular, I will present an example of a vortex patch with continuous initial curvature that immediately becomes infinite but returns to $(C^2)$ class at all...

The inverse theorem for the Gowers U^{s+1}-norms has a central place in modern additive combinatorics, but all known proofs of it are difficult and most do not give effective bounds.

Over this seminar and the next, I will give an outline of a proof...

The Chowla conjecture from 1965 predicts that all autocorrelations of the Liouville function vanish. In fact, after an adaptation, the Chowla conjecture was expected to hold for all aperiodic multiplicative functions with values in the unit disc (cf...

Abstract: At Rutgers University-Camden, the student body is quite diverse, with many first-generation college students and students from underrepresented minority groups. Our students face financial challenges - a significantly large fraction of...

Abstract: Davenport’s lemma has been a crucial ingredient in recent applications of geometry of numbers to arithmetic statistics. The lemma estimates, with error-term, the number of lattice points contained in bounded semi-algebraic regions of $...

Abstract:  We face financial choices every day. From buying a morning coffee, to an online shopping errand in the afternoon, we are asked “Cash, Credit or Debit?” and “Pay Now or Later?”  We occasionally face bigger decisions, like whether to take...