Research Seminars: Applied and Computational Mathematics

Spring 2024

Time & Location: Typically talks will be in Gibson Hall 126 at 3:00 PM on a Friday.
Organizers: Punshon-Smith, Samuel and Buvoli, Tommaso

Archives

 

February 2
Title: The planar Coulomb gas on a Jordan curve

 Klara Courteaut - NYU Courant

Abstract:  The eigenvalues of a uniformly distributed unitary matrix (CUE) have the physical interpretation of a system of particles subject to a logarithmic pair interaction, restricted to lie on the unit circle and at inverse temperature 2. In this talk, I will present a more general model in which the unit circle is replaced by a sufficiently regular Jordan curve, at any positive temperature. In a paper with Johansson, we obtained the asymptotic partition function and the Laplace transform of linear statistics at any positive temperature. These can be expressed using either the exterior conformal mapping of the curve or its associated Grunsky operator.

Time: 3:00pm
Location:  Gibson Hall 126

 

February 16
Title: Self-Similar Blow up Profiles for Fluids via Physics-Informed Neural Network

Javier Gomez Serrano - Brown University

Abstract:  In this talk I will explain a new numerical framework, employing physics-informed neural networks, to find a smooth self-similar solution (or asymptotically self-similar solution) for different equations in fluid dynamics, such as Euler or Boussinesq. The new numerical framework is shown to be both robust and readily adaptable to several situations. Joint work with Tristan Buckmaster, Gonzalo Cao-Labora, Ching-Yao Lai and Yongji Wang.

Time: 3:00
Location:  Gibson Hall 126

 

March 1
Title: TBA

Barbara Prinari - University at Buffalo

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126

 

March 8
Title: TBA

Nicolas Garcia-Trillos - University of Wisconsin Madison

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126

 

March 15
Title: TBA

Speaker - TBA

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126

 

March 22
Title: TBA

Padi Fuster Aguilera - University of Colorado Boulder

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126

 

April 5
Title: TBA

Grady Wright - Boise State

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126

 

April 19
Title: TBA

Cole Graham - Brown University

Abstract:  TBA

Time: 3:00
Location:  Gibson Hall 126