University of Washington · Applied Mathematics
A research group at the University of Washington exploring the frontiers of mathematical analysis — from orthogonal polynomials to random matrix theory.
The Applied Analysis Research Group (AARG) meets once a week to discuss developments in analysis from both an applied and theoretical perspective.
Discussions center around specific topics including orthogonal polynomials and spectral methods, Riemann–Hilbert problems, random matrix theory, and numerical linear algebra.
UW student may reach out if they are interested in attending.
Computational Mathematics
An implementation of automatic differentiation, enabling exact derivative computation for complex mathematical functions.
Analysis & Quantum
Exploring the deep connection between Riemann–Hilbert problems, nonlinear Fourier transforms, and quantum signal processing.
Numerical Methods
Developing numerical methods for solving Riemann–Hilbert problems arising in integrable systems and random matrix theory.
Spectral Theory
Studying eigenvalue distributions and universality phenomena in random matrix ensembles with connections to mathematical physics.
Classical Analysis
Exploring orthogonal polynomials and their spectral methods with applications to numerical computation and approximation theory.
All are welcome to attend our weekly meetings. UW students may reach out to Professor Trogdon directly.
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