A Brief Bio

With my friends Renzo, Hannah, and Paul. In 2013, Renzo, Hannah, and I wrote this paper, which ended up being the basis for my thesis.

Welcome to my homepage. I'm a mathematician at the University of Cambridge. From 2016-2018, I was a CLE Moore Instructor at the Massachusetts Institute of Technology and a member at the Institute for Advanced Study in Princeton. After growing up in South India and South Africa, I completed my studies at Harvey Mudd College and Yale University where I got my B.S. and Ph.D. respectively. I worked with Dagan Karp as an undergraduate, exploring the geometry of a classical symmetry of projective space, called the Cremona transformation, in the context Gromov-Witten theory. I had a lot of fun working with Dagan on my undergraduate thesis, which you can find here. After four wonderful years at Harvey Mudd College, I studied under Sam Payne at Yale. I worked on problems relating Berkovich spaces, tropical geometry, and Gromov-Witten theory. My thesis took shape in 2015, thanks to a substantial helping hand from Dan Abramovich at Brown University. Dan taught me about logarithmic structures, which quickly became central to my work. I moved to MIT in 2016, where Davesh Maulik kept me out of trouble. I moved to Cambridge in 2019.

My research is centered around the study of combinatorial structures in algebraic geometry, with a particular emphasis on applications to questions of classical and contemporary interest in the geometry of curves, moduli theory, and Gromov-Witten theory. Much of my work has concerned non-archimedean analytic spaces and logarithmic structures, studied through their combinatorial shadows. The discrete structures that arise from this interaction are part of tropical geometry, a striking collection of modern degeneration techniques that often reduce rich algebro-geometric problems into (sometimes impossible) combinatorics.

I work to create opportunities for high school and undergraduate students across a diverse range of backgrounds to participate in mathematics. I particularly enjoy working with young students on mathematical research projects. Fortunately, MIT offered a range of possibilities for high school and undergraduate students to dive into mathematical research. Take a look at the PRIMES and UROP programs. While at Yale, I put a great deal of time into helping the SUMRY program and was part of the team that got it off the ground. A record of past undergraduate research is archived here. It may take me a little while to learn how similar programs for young researchers work at Cambridge, but I'm always happy to talk!