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I’m a 21-year-old grad student at UCSB in the first year of my PhD. I completed my undergraduate studies at Rose-Hulman with a bachelor in math and minors in CS and theoretical physics. When I’m not doing math, you can usually find me hiking, skiing, or generally enjoying the outdoors. I also love sharing mathematics with others, for example as a Counselor for Ross.
I like basically every topic in pure math, but my particular favorite subject is algebraic number theory, especially Iwasawa theory and Galois cohomology. I’m currently on a quest to read and understand all of Neukirch, Schmidt, and Wingberg’s Cohomology of Number Fields, which is a book I owe a lot of my mathematical development to. My favorite theorems are Artin reciprocity, the Iwasawa main conjecture (for totally real number fields), and the Neukirch-Uchida theorem. I also really like arithmetic duality theorems, and their relations to analogies like the function field analogy or arithmetic topology.
At UCSB, I am learning about the Iwasawa theory of elliptic curves from Dr. Francesc Castella. Right now, I’m studying Heegner points and their applications to things like BSD and main conjectures.
My senior thesis advisor was Dr. Tim All, where we looked at p-adic L-functions and Iwasawa theory. I also had the pleasure of working for him in 2023 and 2025 as a Ross counselor.
In the summer of 2024, I worked under Dr. Hui Xue in the Clemson REU in number theory, where we studied Rankin-Cohen brackets of modular forms and elliptic curves over finite fields.
You can find my CV here.
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