Past Events

Counting lattice paths with unit up and right steps beginning at the origin that are somehow constrained by a boundary is an old problem. When the boundary is the line y=x the celebrated Chung-Feller theorem states the number of paths having k flaws...

We put forward two principles of decoupling, aiming to provide a new algebraic approach of reducing decoupling for new manifolds to decoupling for known manifolds. This is joint with Jianhui Li.

Several years ago, Dr Kathryn Isaac, a UBC professor and clinical surgeon contacted me with an intriguing problem. In her work on cosmetic reconstructive for post-breast-cancer-surgery patients, she encounters cases of failure that result (weeks or...

Originally distributions were introduced in PDE-theory to generalize the notion of functions. However, this analytical concept also has some purely algebraic properties, which are worth considered. In particular, they are an important example of...

This talk introduces a newly developed computational method for rigorously evaluating the Hadamard derivative of Laplacian eigenvalues, which plays an important role in studying shape optimization problems. To evaluate the Hadamard derivative, this...

In my talk I will discuss the notion of local volume for singularities. For the special case of toric singularities this turns out to be closely related to the notion of Mahler volume in convex geometry. This opens a connection between algebraic...

The directed landscape is a random directed metric on the plane that arises as a scaling limit of a classical metric models in the KPZ universality class. In this talk, we will discuss a functional large deviation principle (LDP) for the entire...

The directed landscape is a random directed metric on the plane that arises as the scaling limit of classical metric models in the KPZ universality class. In this talk, we will discuss a functional large deviation principle (LDP) for the entire...

We analyse the metastable behaviour of the disordered Curie-Weiss-Potts (DCWP) model subject to a Glauber dynamics. The model is a randomly disordered version of the mean-field q-spin Potts model (CWP), where the interaction coefficients between...

By using Grand Canonical Optimal Transport we provide a counter-example showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. This property has been conjectured...