University of Alberta

From a target space perspective, T-duality relates certain pairs of string theory backgrounds with a U(1) isometry. If we perform a Kaluza-Klein reduction on the corresponding circle, T-duality then acts as a symmetry of the reduced theory, and this...

(Vector-valued) modular forms appear all over string theory. Often, one wants to know whether the Fourier coefficients are integers, or if it is already known they must be integral, one would like to know consequences. In my talk I'll describe the...

We revisit the wall-crossing behaviour of solutions of a class of thermodynamic Bethe Ansatz type integral equations, expressed as sums of ''instanton corrections''. We explain how a set of tropical curves (with signs) emerges naturally from each...

I will attempt to give an overview of the Gross-Siebert program, emphasizing its guiding principles and their connection to the Strominger-Yau-Zaslow conjecture.

Based on some recent joint work of J. Lewis, and others, we formulate a variation of the Beilinson-Hodge conjecture pertaining to varieties defined over the complex numbers. In this talk, we explain the motivation for this conjecture, and some...

In this talk we study the Cauchy problem for 1-D Euler-Poisson system, which represents a physically relevant hydrodynamic model but also a challenging case for a bipolar semiconductor device by considering two different pressure functions and a non...