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“early on in my research career, I decided that I didn’t want to represent functors, but would rather solve Diophantine equations. Now, I find myself representing functors in order to solve Diophantine equations.” -Lenstra
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 spent two years reading all of Neukirch, Schmidt, and Wingberg’s Cohomology of Number Fields, and I owe a lot of my mathematical development to it. 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 am working on projects related to nonvanishing of Kolyvagin systems and CM elliptic curves.
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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