Warwick Mathematics Institute Events

Click on a title to view the abstract!

Upcoming Seminars

Number Theory on 06 October 2025 at 15:00 in B3.02

Speaker: Chris Hughes (University of York)
Title: Discrete moments of the Riemann zeta function

Abstract: I will discuss some new results on moments of zeta'(rho), the derivative of the Riemann zeta function evaluated at the zeta zeros. Despite being a complex function evaluated at complex points, it turns out to be real and positive on average. We will discuss this from both theoretical and heuristic viewpoints.

Number Theory on 13 October 2025 at 15:00 in B3.02

Speaker: Thomas Bloom (University of Manchester)
Title: TBA

Abstract: TBA

Analysis on 16 October 2025 at 16:00 in Room B3.02

Speaker: Leonid Parnovski (University College London)
Title: Classical spectral asymptotics with a modern twist

Abstract: The existence of spectral asymptotics of Laplace or Schroedinger operators acting on Riemannian manifolds is a classical problem studied for more than 100 years. It has been known for a long time that obstacles to the existence of spectral asymptotic expansions are periodic and looping trajectories of the geodesic flow. A conjecture formulated in 2016 stated that these trajectories are the only such obstacles. I will discuss the history of this
problem and describe the recent progress: proving this conjecture in special cases, as well as constructing some counterexamples. This is a joint work with Jeff Galkowski (UCL) and Roman Shterenberg (UAB)

Number Theory on 20 October 2025 at 15:00 in B3.02

Speaker: Holly Krieger (University of Cambridge)
Title: TBA

Abstract: TBA

Analysis on 23 October 2025 at 16:00 in B3.02

Speaker: Michele Caselli (Scuola Normale Superiore (Pisa))
Title: Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps

Abstract: In this talk, we explore the asymptotic behavior of sphere-valued Sobolev maps as their p-energy approaches the critical Sobolev exponent (i.e., the codimension of their singular set). Based on recent work jointly with Mattia Freguglia and Nicola Picenni, we show compactness and Gamma-convergence of the (renormalized) p-energy to the area functional of the suitable dimension. As a corollary, we also recover a classical result by Hardt and Lin on the convergence of the energy densities of p-energy minimizing maps with fixed boundary conditions, as p approaches the critical exponent.

Number Theory on 27 October 2025 at 15:00 in B3.02

Speaker: Hung Bui (University of Manchester)
Title: TBA

Abstract: TBA

Analysis on 30 October 2025 at 16:00 in Room B3.02

Speaker: Manuel Del Pino (University of Bath)
Title: Compact Equilibria in the Liquid Drop Model

Abstract: This work addresses the liquid drop model, introduced by Gamow in 1930 and Bohr–Wheeler in 1939, to describe the structure of atomic nuclei in nuclear physics. The problem involves finding a surface in three-dimensional space that is critical for a specific energy functional, balancing surface tension and nonlocal repulsion, subject to a volume constraint.
Spherical solutions always exist and minimize the energy for sufficiently small volumes. However, for larger volumes, constructing non-minimizing critical points becomes more challenging. In this study, we present a new class of large-volume solutions, resembling “pearl collars” arranged along an axis in the shape of a large circle, with geometry close to Delaunay’s unduloids—surfaces of constant mean curvature. We also construct non-minimizing solutions with small mass that resemble two nearly identical spheres connected by a narrow neck.
This is collaboration with Mónica Musso, Andrés Zúñiga, and Rupert Frank

Number Theory on 03 November 2025 at 15:00 in B3.02

Speaker: Ross Paterson (University of Bristol)
Title: TBA

Abstract: TBA