Top-level heading

Wave function renormalization in particle-field models

Operator-theoretic renormalization of particle-field models is typically done by subtracting diverging contributions to the Hamiltonian. In many interesting  cases, however, an additional wave fu...

Central limit theorems for sequential systems

The fluctuations of Birkhoff averages for strongly chaotic systems are well known to satisfy a Central Limit Theorem. However, many systems of interest are non-autonomous, prompting the question ...

Rigidity results for Serrin-type problems on annular domains

We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in ℝn (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking advantage of a...

Rigidity results for Serrin-type problems on annular domains

We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in $\mathbb R^n$ (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking adv...

Chow functions for partially ordered sets

In the 1990s, Stanley and Brenti developed the foundations of what is now known as the Kazhdan--Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, one may associate special functions cal...

Sphere theorems for $ W^{2,n} $-hypersurfaces

A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the  $ k $-t...

Functional inequalities: symmetry of extremal functions and quantitative stability

Abstract: In this colloquium talk I will make a general presentation about a number of topics intervening in the area of functional inequalities. Like the very diverse qualitative properties of t...

Topological classification of chiral and particle-hole symmetric insulators in low dimension

Motivated by the study of periodic Hamiltonians enjoying chiral or particle-hole symmetry, like the SSH model or the Kitaev chain, we present a topological study of families of symmetric functions fro...

MathPolo 2025: A Mathematical Bridge Between Nanjing and Rome (day 2)

Following in the footsteps of Marco Polo, this workshop seeks to foster mathematical collaboration and exchange between China and Italy. It will showcase research from the Mathematics Departments of N...

MathPolo 2025: A Mathematical Bridge Between Nanjing and Rome (day 1)

Following in the footsteps of Marco Polo, this workshop seeks to foster mathematical collaboration and exchange between China and Italy. It will showcase research from the Mathematics Departments of N...
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