Research   Outreach   CV   About me

Research/Reading Projects

In the fall of 2022, I researched Reidemeister torsion from the Morse theoretic viewpoint under Prof. Daniel Alvarez-Gavela and undergraduate Jianning Fu. We completely characterized 3-dimensional Lens Spaces by computing their homology and Reidemeister Torsion via Morse Theory.

In the summer of 2022, I participated in the Cornell Summer Program for Undergraduate Research supervised by Tara Holm and Morgan Weiler. I studied infinite staircases of the symplectic embedding functions of 4-dimensional ellipsoids into polydisks with Caden Farley, Zichen Wang, and Elizaveta Zabelina. I co-wrote a paper on our findings (preprint), and presented our findings at the 2023 JMM in Boston (slides). For an expository introduction on Prof. Holm and Dr. Weiler's work, see this Quanta article

In the summer of 2021, I conducted research supervised by Prof. John Bush and postdocs Dr. Valeri Frumkin and Dr. Konstantinos Papatryfonos in the MIT Applied Math Lab. I researched a hydrodynamic quantum analog of mirror superradience. We are currently drafting a paper detailing my results.

Outreach

I am a member of the MIT Council for Math Majors (CoMM). I am also on the MIT Mathematics Committee for Diversity, Equity, and Inclusion.

CV

About me

I grew up in the San Francisco Bay Area, where I spent all my time reading and sailing. In my spare time, I (still) enjoy reading and sailing, as well as baking, climbing, and curating Spotify playlists. In another life, I might be working at publishing company or running a bookstore cafe.

My favorite mathematical object is a pair of pants. My favorite proof is the proof of the Classification of Compact Orientable Surfaces using Morse Theory. My favorite font is EB Garamond.

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups. I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful. Which Springer GTM would you be? The Springer GTM Test