Computer Science/Discrete Mathematics

The notion of Schmidt rank/strength for a collection of m polynomials plays an important role in additive combinatorics, number theory and commutative algebra; high rank collections of polynomials are “psuedorandom”.  An arbitrary collection of...

Expander graphs are fundamental objects in theoretical computer science and mathematics. They have numerous applications in diverse fields such as algorithm design, complexity theory, coding theory, pseudorandomness, group theory, etc.

In this talk...

Algorithms for understanding data generated from distributions over large discrete domains are of fundamental importance.  In this talk, we consider the sample complexity of *property testing algorithms* that seek to to distinguish whether or not an...

The lifeblood of interactive proof systems is randomness, without which interaction becomes redundant. Thus, a natural long-standing question is which types of proof systems can indeed be derandomized and collapsed to a single-message NP-type...