Research

I graduated from the University of Wisconsin, working under the direction of Tonghai Yang, in 2011. I was then a Ritt Assistant Professor at Columbia University until 2015. Since then I have been a postdoctoral research in Kathrin Bringmann's group at the University of Cologne, Calculus Director at Columbia University, Visiting Assistant Professor at Brown University, Visiting Professor at University of Colorado - Boulder, and I am now a lecturer at Rutgers University. My research interests include various aspects of number theory and representation theory. In particular, I am interested in modular forms and many of their generalizations.

Curriculum vitae.

Publications and Preprints

(with D. Goldfeld and E. Stade) An asymptotic orthogonality relation for GL(n) (in preparation)

(with A. Du, C.H. Kwan, L. Liu, A. Wu) Trilinear forms for GL(2) over a finite field. (in preparation)

(with Y. Jiang and L. Rolen) Generalized Frobenius Partitions, Motzkin paths, and Jacobi Forms (Journal of Combinatorial Theory, Series A, 2022)

(with D. Goldfeld and S. Miller) A template method for Fourier coefficients of Langlands Eisenstein series (Riv. Math. Univ. Parma, 12(1):63–117, 2021)

(with D. Goldfeld and E. Stade) An orthogonality relation for GL(4,R) (Forum of Mathematics, Sigma 2021)

On the triple product L-function: local real calculations (L-functions and Automorphic forms, LAF Heidelberg, February 22-26, 2016)

(with M. Krauel and L. Rolen) On a relation between certain q-hypergeometric series and Maass waveforms (Proceedings of the AMS, 2017)

Appendix to The Quantum Variance of the Modular Surface by Peter Sarnak and Peng Zhao (Annales Scientifiques de l’Ecole Normale Superieure, 2019)

(with G. Savin)Matching of Hecke operators for Exceptional dual pair correspondences (Journal of Number Theory 146, 2015)

Trilinear forms and subconvexity of the tiple product L-function

(with G. Savin) Structure of internal modules and a formula for the spherical vector of minimal representations (Journal of Algebra 312, 2007)

Notes

Conferences

Instructional Conference on Representation Theory and Arithmetic at Northwestern

School on Equidistribution of Finite Volume Orbits on Homogeneous Spaces at Mathematisches Forshungsinstitut, Oberwolfach

Talks

Slides from talk given at joint meetings of American and Korean Mathematical Societies

Other

Notes taken on lectures given by Dick Gross on Representation theory and number theory at Columbia University Fall 2011.

Notes taken with Rob Rhoades on automorphic forms on GL(2) based on class taught by Yannan Qiu.

Notes on class on Gross-Zagier formula taught by Tonghai Yang.

Notes on class on elliptic curves and modular forms taught by Jordan Ellenberg.

Notes on relation between classical and adelic Eisenstein series

Notes on invariant pairing between a representation and its contragradient

Quadratic extensions of a local field