I am a fifth year graduate student of Nikhil Srivastava. My research interests are (broadly) questions in theoretical computer science; I like problems with probability, linear algebra (especially eigenvalues), and / or graphs.
Email: isabel_detherage [at] berkeley [dot] edu
Office: 1040 Evans
Upper and lower bounds on the Ollivier-Ricci curvature of basis exchange walks, with examples of both negatively and non-negatively curved basis exchange walks
Analyzing a stochastic algorithm for orthogonalization, which includes as special cases the Jacobi eigenvalue algorithm (suitably randomized) and Gram Schmidt (suitably randomized)
Given a set of n vectors in n dimensions, how many times do you have to orthogonalized two randomly selected vectors against each other before the entire set becomes orthogonal?
Finding quantitative, non-asymptotic, two-sided bounds of the ground state energy of a semiclassical Schrödinger operator with respect to a related discrete Schrödinger operator
I have been a GSI for several classes at Berkeley, including:
I have also been a summer instructor for Math N54 (Linear Algebra and Differential Equations) in 2024 and 2022. Notes for my course (heavily inspired by Paulin's Math 54 course) can be found here (Berkeley email required to access).
I passed my qualifying exam in 2023; my syllabus (possibly with some typos) can be found here. I completed by B.S. in Applied Mathematics with a concentration in computer science at Yale University in 2020. Between undergraduate and graduate school, I worked for Bain & Co. Consulting for a year.
Outside of my academic pursuits, I like to run long distances and listen to Taylor Swift. I run with the women's West Valley Track Club team in San Francisco.