Research
Research Interests
Number Theory: Arithmetic of Function Fields. I am interested in Drinfeld modules and higher dimensional generalizations called Anderson t-modules, which are function field analogues of elliptic curves, abelian varieties, and commutative algebraic groups. I work in transcendental number theory related to special values of function field L-series and their connections with periods and logarithms of Drinfeld modules and t-modules.
Publications and Preprints
Tensor products of Drinfeld modules and convolutions of Goss L-series
submitted for publication, 46 pages. [ PDF | arXiv ]Convolutions of Goss and Pellarin L-series (with M. Papanikolas)
submitted for publication, 62 pages. [ PDF | arXiv ]
A note on log-algebraicity on elliptic curves (with M. Papanikolas)
submitted for publication, 12 pages. [ PDF | arXiv ]
A t-motivic interpretation of shuffle relations for multizeta values
Journal of Number Theory 232 (2022), 379–405. [ Journal | arXiv ]