I am an Assistant Professor at Portland State University in the
Fariborz Maseeh Department of Mathematics and Statistics. Prior to PSU, I was a postdoc at
UMass Amherst. I received my PhD from Caltech, under the direction
of Dinakar Ramakrishnan. Before that, I was an undergraduate at
Princeton University.
My research interests are in number theory, with a focus on automorphic forms and Galois representations. I am particularly
interested in arithmetic and statistical properties of Fourier coefficients of modular forms.
I am one of the organizers of Oregon Number Theory Days,
a triannual number theory conference rotating between Portland State University, Oregon State University, and the University of Oregon.
Papers

The nonvanishing of the trace of T_{3}
(joint with PSU students Daphne Kurzenhauser and Eric Williams)
to appear in Involve, a Journal of Mathematics (2023)
( pdf
)

Summing Hecke eigenvalues over polynomials
(joint with Liyang Yang)
Mathematische Zeitschrift (2022)
( pdf

journal

viewonly )

The trace of T_{2} takes no repeated values
(joint with Andrei Jorza)
Indagationes Mathematicae (2022)
( pdf

journal )

The average number of divisors in certain arithmetic sequences
Mathematica Pannonica (2022)
( pdf

journal )

Newton Polygons of Hecke operators
(joint with Andrei Jorza)
Annales mathématiques du Québec (2021)
( pdf

journal

viewonly )
Data on the 2adic valuations of the trace of T_{2} is available here

Comparing Hecke coefficients of automorphic representations
(joint with Andrei Jorza)
Transactions of the American Mathematical Society (2019)
( pdf

journal )

On the equality case of the Ramanujan Conjecture for Hilbert modular forms
International Journal of Number Theory (2019)
( pdf

journal )

On the number of dominating Fourier coefficients of two newforms
Proceedings of the American Mathematical Society (2018)
( pdf

journal )

Comparing Hecke eigenvalues of newforms
Archiv der Mathematik (2017)
( pdf

journal )

Irreducible adjoint representations in prime power dimensions, with an application
Journal of the Ramanujan Mathematical Society (2015)
( pdf

journal )
