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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

Me

I’m a grad student at UCSB in the second year of my PhD, advised by Francesc Castella. My studies are supported by the NSF GRFP. In addition to taking classes and doing research, I organize the UCSB DRP, coach our Putnam team, and somehow I keep being tricked into organizing seminars on subjects related to infinity categories despite that not being my research area…

I completed my undergraduate degree at Rose-Hulman with a bachelor in math and minors in CS and theoretical physics. My senior thesis there was advised by Tim All. I also attended the Clemson REU in number theory and did research advised by Hui Xue.

I am very passionate about math popularization and teaching, especially when it comes to motivated high school students and undergraduates. I am a 3x counselor for the Ross Mathematics Program and a 1x mentor for RP^2. Some highlights of my time with these programs are giving 10-hour-long lectures, fights to the death over commutative vs noncommutative algebra, and eating cat food.

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 theorem is the Neukirch-Uchida theorem. I also really like arithmetic duality theorems, and their relations to analogies like the function field analogy or arithmetic topology.

When I’m not doing math I’m hiking, skiing, or generally enjoying the outdoors. Every weekend you’ll find me somewhere in the Transverse ranges, but the specific mountain depends on how I was feeling about 30 minutes before I left.

AI

I believe modern LLMs are harmful to mathematics and humanity at large. Because of this, I won’t use them in my research or teaching in any form.

CV

You can find my CV here.

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