I am an assistant professor at
BYU.
From 2016 to 2019 I was an assistant adjunct professor (postdoc) at
UCLA.
During the Spring semester 2017 I was a postdoctoral research associate at
MSRI in the
Analytic Number Theory program.
I received my PhD in 2016 from
UIUC under the direction of
Scott Ahlgren.
I completed my BS in mathematics with a minor in physics in 2011 at
BYU.
My research interests are in number theory.
I am particularly interested in arithmetic aspects of automorphic forms and their relation to (in no particular order) invariants of quadratic number fields, hyperbolic geodesics, class numbers,
Lfunctions, and additive number theory.
Here is my CV.
Contact:
nick [at] math [dot] byu [dot] edu
Office 328 TMCB
Selected Papers

The Minkowski Chain and Diophantine approximation (with W. Duke)
submitted.
[arxiv]

On a theorem of Davenport and Schmidt (with W. Duke)
submitted.
[arxiv]

Modular invariants for real quadratic fields and Kloosterman sums (with W. Duke)
submitted.
[arxiv]

Markov spectra for modular billiards (with W. Duke)
Math. Annalen, to appear.
[arxiv]

Level reciprocity in the twisted second moment of RankinSelberg Lfunctions (with E. M. Kiral)
Mathematika 64 (2018), no. 3, 770784.
[arxiv]
[journal]

Shifted polyharmonic Maass forms for PSL(2,Z) (with J. Lagarias and R. Rhoades)
Acta Arith. 185 (2018), 3979.
[arxiv]
[journal]

A polyharmonic Maass form of depth 3/2 for SL_{2}(Z) (with S. Ahlgren and D. Samart)
J. Math. Anal. Appl. 468 (2018), no. 2, 10181042.
[arxiv]
[journal]

Vectorvalued modular forms and the mock theta conjectures
Res. Number Theory (2016) 2:32.
[arxiv]
[journal]

Kloosterman sums and Maass cusp forms of half integral weight for the modular group (with S. Ahlgren)
Int. Math. Res. Notices, rnw234 (2016), 179.
[arxiv]
[journal]

Algebraic and transcendental formulas for the smallest parts function (with S. Ahlgren)
Adv. Math. 289 (2016) 411437.
[arxiv]
[journal]

Singular invariants and coefficients of weak harmonic Maass forms of weight 5/2
Forum Math. 29 (2017), no. 1, 729.
[arxiv]
[journal]

Periods of the jfunction along infinite geodesics and mock modular forms
Bull. Lond. Math. Soc. 47 (2015), 407415.
[arxiv]
[journal]

Classification of congruences for mock theta functions and weakly holomorphic modular forms
Q. J. Math. (2014) 65 (3): 781805.
[arxiv]
[journal]
You can find a complete list of papers
here.
Teaching
In Fall 2019 I am teaching Math 290: Fundamentals of Mathematics. See the teaching page for my previous teaching.