Ian Tan

Welcome to my page. I am a graduate student at Auburn University; my advisor is Luke Oeding. I am primarily interested in Quantum Information Theory from the perspective of representation theory and algebraic geometry. Here's my CV .

If you are interested, check out my musical compositions.

Email: yzt0060 at auburn dot edu

Teaching resources: You can find here some animations I've made over the years on desmos.com, mostly for pedagogical purposes.

Publications/Preprints:

Four-qubit critical states (with Luke Oeding)

Preprint.

Tensor decompositions with applications to LU and SLOCC equivalence of multipartite pure states (with Luke Oeding)

SIAM Journal on Applied Algebra and Geometry (2025).
Recording of related talk at UGA Algebra Seminar available on YouTube.

Generalized van der Waerden Game on an Infinite Board (with Hannah Alpert, Liam Barham, Brian Freidin, and Alexandra Weiner)

Submitted for publication.

Counting rotational subsets of the circle

Rose-Hulman Undergraduate Mathematics Journal (2024).