Elliott N. Shaw (1920–2003)

Introduction to N = 2 Gauge Theory Chris Elliott

The goal of this seminar is to understand the Nekrasov partition function introduced by Nekrasov in 2003 [Nek03]. This is a generating function for correlation functions in an N = 2 supersymmetric gauge theory, so my goal today is to explain what N = 2 gauge theory is and why we might find it interesting. We begin with the latter question, why is this interesting? There are two intertwined answ...

Christopher Elliott

Elliott Ross

Elliott Ross grew up in Stockton, California. He earned a B.Sc. degree at the University of California at Davis and a Ph.D. with Jeff Schatz at Cornell. He did postdoctoral research with Al Gilman at the University of Virginia and remained on the faculty there for three years. He then moved to the University of Texas Southwestern Medical Center in Dallas, where he is a member of the Graduate Pr...

Recasting the Elliott Conjecture

Let A be a simple, unital, finite, and exact C-algebra which absorbs the Jiang-Su algebra Z tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases — Z-stab...

Chris Elliott – Research Statement

One of the most central problems for 21st century mathematical physics is the question: “how can we mathematically formalize the notion of a non-perturbative quantum field theory?” Formulations of aspects of quantum field theory developed by mathematicians (e.g. [Seg88], [Ati88], [FLM89], [Lur09], [BD04]) have generated conceptual frameworks for problems in mathematics far removed from physics....