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.
Papers
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Summing Hecke eigenvalues over polynomials
(joint with Liyang Yang)
Preprint
( pdf )
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Newton Polygons of Hecke operators
(joint with Andrei Jorza)
Annales mathématiques du Québec (2020)
( pdf
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journal
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view-only )
Data on the 2-adic valuations of the trace of T2 is available here
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Comparing Hecke coefficients of automorphic representations
(joint with Andrei Jorza)
Transactions of the American Mathematical Society (2019)
( pdf
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journal )
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On the equality case of the Ramanujan Conjecture for Hilbert modular forms
International Journal of Number Theory (2019)
( pdf
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journal )
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On the number of dominating Fourier coefficients of two newforms
Proceedings of the American Mathematical Society (2018)
( pdf
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journal )
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Comparing Hecke eigenvalues of newforms
Archiv der Mathematik (2017)
( pdf
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journal )
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Irreducible adjoint representations in prime power dimensions, with an application
Journal of the Ramanujan Mathematical Society (2015)
( pdf
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journal )
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Central Critical values of twists of CM elliptic curves
(joint with Farshid Hajir and Paul Gunnells)
In preparation
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