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. I am also broadly interested in the statistics of Selmer groups, whether in quadratic twist families or larger families of hyperelliptic/superelliptic curves. 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:
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.
University of Georgia
Boyd Graduate Studies Research Center, Office 647
Athens, GA 30602
nicholas.triantafillou[ a in a circle ]uga.edu