Photo credit: Isabel Vogt
Since August 2019, I am a Postdoctoral Research and Teaching Associate in the mathematics department at the University of Georgia, partially supported by National Science Foundation Research and Training Group grant DMS-1344994 in the 2019-2020 academic year. I am part of the Number Theory and Arithmetic Geometry group and also talk frequently with the Algebraic Geometry group. My CV is here and my department directory is here.
My main research interest is in arithmetic geometry. My thesis studied 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, from both theoretical and computational perspectives. I am also broadly interested in understanding how the sets of points on varieties (especially curves and abelian varieties) grow as you extend the base field, both in characteristic zero and positive characteristic. I also enjoy thinking about statistics of Selmer groups, both in quadratic twist families and more general settings. I have also worked on sphere packing and fast computation of zeta functions of curves. My papers are on my research page.
I received my Ph.D. in mathematics at MIT in June 2019, advised by Bjorn Poonen. I was supported by the NSF Graduate Research Fellowship and Simons Collaboration Grant #550033 while in graduate school. 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.
My teaching and research is informed by my firm belief in Federico Ardila's axioms:
My CV is here.
Ph.D., Mathematics, Massachusetts Institute of Technology, 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.
UGA AGANT Oberseminar
UG Algebraic Geometry Seminar (Wed 3:00-4:00)
UGA Arithmetic Geometry/Number Theory Seminar (Wed 4:15-5:45)
VaNTAGe: a virtual math seminar on open conjectures in number theory and arithmetic geometry
The Number Theory Web Seminar
University of Georgia
Boyd Graduate Studies Research Center, Office 647
Athens, GA 30602
nicholas.triantafillou[ a in a circle ]uga.edu