Aasiamani (Mani) Thamizhazhagan, Department of Pure Mathematics, University of Waterloo
"On the structure of invertible elements in certain Fourier-Stieltjes algebra"
Nicholas Banks, Department of Pure Mathematics, University of Waterloo
"Galois Actions on Surfaces of Small Picard Rank"
Spencer Gao, Department of Pure Mathematics, University of Waterloo
"Classification of Simple Complex Lie Algebra"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"Applications of the minimal model program in arithmetic dynamics"
Arithmetic dynamics is a rapidly growing field of mathematics that lies in the intersection of algebraic geometry, number theory and complex dynamics. Many interesting number theoretic problems admit a dynamical generalization. Understanding this dynamical generalization can shed new light on the original problem while also leading to new and interesting challenges in arithmetic and geometry.
Jacob Campbell, Department of Pure Mathematics, University of Waterloo
"Finite free convolutions"
Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo
"F-automatic sets"
Eric Boulter, Department of Pure Mathematics, University of Waterloo
"Introducing Hilbert Schemes of Points"
Andean Medjedovic, University of Waterloo
"Exact Formulas for Averages of Secular Coefficients"
We present formulas for averages, over the classical compact groups, of the coefficients of powers of characteristic polynomials. The study of these coefficients was motivated by connections with analogous problems in number theory dealing with averages of divisor sums over short intervals.
Zoom meeting:
Spencer Whitehead, Department of Pure Mathematics, University of Waterloo
"Symmetric Instantons"
Dan Ursa, Department of Pure Mathematics, University of Waterloo
"The Ideal Intersection Property for Essential Groupoid C*-Algebras"