. Ramanujan's ternary quadratic form. Inventiones mathematicae. 1997;130 (3) :415–454.
Selected Publications
- . Fourier coefficients of half-integral weight modular forms modulo ℓ. Annals of Mathematics, arXiv preprint arXiv:0710.0283. 1998;147 :453-470.
- . Nonvanishing of quadratic twists of modular L-functions and applications to elliptic curves. Journal fur die reine und angewandte Mathematik. 2001 :81–98.
- . Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication. Inventiones mathematicae. 1999;135 (2) :387–398.
- . Distribution of the partition function modulo m. Annals of Mathematics. 2000;151 (1) :293–307.
- . The $f(q)$ mock theta function conjecture and partition ranks. Inventiones mathematicae. 2006;165 (2) :243–266.
- . Unearthing the visions of a master: harmonic Maass forms and number theory. Harvard-MIT Current Developments in Mathematics. 2009;2008 :347–454.
- . Dyson’s ranks and Maass forms. Annals of Mathematics. 2010;171 (1) :419–449.
- . Heegner divisors, L-functions and harmonic weak Maass forms. Annals of Mathematics, arXiv preprint arXiv:0710.0283. 2010;172 :2135-2181.
- . Ramanujan’s mock theta functions. Proceedings of the National Academy of Sciences. 2013;110 (15) :5765–5768.
- . A framework of Rogers–Ramanujan identities and their arithmetic properties. Duke Mathematical Journal. 2016;165 (8) :1475–1527.
- . Proof of the umbral moonshine conjecture. Research in the Mathematical Sciences. 2015;2 (1) :26.
- . Pariah moonshine. Nature communications. 2017;8 (1) :670.
- . Jensen polynomials for the Riemann zeta function and other sequences. Proceedings of the National Academy of Sciences. 2019;116 (23) :11103–11110.
