Calendar
Posted January 12, 2026
Last modified March 15, 2026
Applied Analysis Seminar Questions or comments?
1:30 pm Lockett Hall 233
Daniel Massatt, New Jersey Institute of Technology
Momentum Space Algorithm for Electronic Structure of Double-Incommensurate Trilayer Graphene
Moiré 2D materials are highly tunable through variables including twist angle, species of layers, and number of layers. Various configurations lead to useful physical phenomena and possible applications, including many-body physics such as correlated insulators and superconductivity. To understand many-body models, a careful single-particle model must first be constructed. For example in twisted bilayer graphene, the Bistritzer-MacDonald model is frequently used to capture magic-angle physics in twisted bilayer graphene. More complex geometries including double-incommensurate trilayers however become difficult to accurately quantify even in the single-particle regime. Here we present a momentum space algorithm for computing observables for double-incommensurate trilayers with rigorous error analysis compared to the real space tight-binding model. We include the closest equivalent observable to band structure that this structure seems to admits called the momentum local density of states, revealing the spectral features not captured by rougher models.
Event contact: Stephen Shipman
Posted November 15, 2025
Last modified January 21, 2026
Algebra and Number Theory Seminar Questions or comments?
2:00 pm – 3:00 pm Lockett 233 or click here to attend on Zoom
Kiran Kedlaya, University of California San Diego
TBA
Event contact: Gene Kopp
Posted March 5, 2026
Last modified March 9, 2026
Informal Analysis Seminar Questions or comments?
1:30 pm – 2:30 pm Lockett 233
Long Teng, LSU
Doubling Inequalities for Schrodinger operators with power growth potentials
TBD
Posted January 15, 2026
Informal Geometry and Topology Seminar Questions or comments?
3:30 pm – 4:30 pm Lockett Hall 233
Sayani Mukherjee, Louisiana State University
TBD
TBD
Posted December 1, 2025
Last modified March 5, 2026
Control and Optimization Seminar Questions or comments?
9:30 am – 10:20 am Zoom (click here to join)
Khai Nguyen, North Carolina State University
On the Structure of Viscosity Solutions to Hamilton–Jacobi Equations
This talk presents regularity results for viscosity solutions to a class of Hamilton-Jacobi equations arising from optimal exit-time problems in nonlinear control systems under a weak controllability condition. A representation formula for proximal supergradients, based on transported normals, is derived, with applications to optimality conditions, the propagation of singularities, and the Hausdorff measure of the singular set.