about

I am a Ph.D. student in mathematics at MIT, advised by Bjorn Poonen. I started at MIT in Fall 2014 and expect to graduate in June 2019. My CV is here.

My main research interest is in arithmetic geometry. I am currently working on a project to understand how powerful classical Chabauty's method is when combined with restriction of scalars and descent techniques. Kim's nonabelian Chabauty also fascinates me, and I would like to understand how to use restriction of scalars to push that method further. The statistics of Selmer groups also fascinate me, whether in quadratic twist families or families of hyperelliptic/superelliptic curves. I have also done some work on sphere packing and fast computation of zeta functions while in graduate school. My papers are on my research page.

I was supported by the NSF Graduate Research Fellowship for years 2-4 of graduate school and am supported by the Simons Collaboration Grant #550033 in Fall 2018.

Before MIT, I studied mathematics at Cambridge supported by the Churchill Scholarship. I completed my undergraduate studies in mathematics and computer science at the University of Michigan supported by the Sidney J. and Irene Shipman Scholarship.



education

Ph.D., Mathematics, Massachusetts Institute of Technology, expected 2019.
M.A.St., Mathematics with distinction, University of Cambridge, 2014.
B.S., Highest Honors in Mathematics and High Honors in Computer Science, University of Michigan, 2013.

seminars i frequent

MIT Seminar on Topics in Arithmetic, Geometry, Etc. (ongoing)

contact

Simons Building (Building 2) Room 239A
77 Massachusetts Avenue
Cambridge, MA 02139
ngtriant@mit.edu