Preprints
Publications
The pdf files below correspond to the "postprint" (final accepted version). To access the final published version, click the DOI links.
- On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of
degree 2 (with B. Paul)
Int. Math. Res. Not. (IMRN) (2023), 24: 21707-21760. DOI: 10.1093/imrn/rnac316
- Sup-norms of eigenfunctions in the level aspect for
compact arithmetic surfaces, II: newforms and subconvexity (with Y. Hu)
Compositio Math. (2020), 156(11): 2368-2398. DOI: 10.1112/S0010437X20007460
- On sup-norms of cusp forms of powerful level
J. Eur. Math. Soc. (JEMS) (2017), 19(11):3549-3573. DOI: 10.4171/JEMS/746.
- Representations of SL2(R) and nearly holomorphic modular forms
(with A. Pitale and R. Schmidt)
RIMS Kokyyroku (2016), 1973: 141-153.
- Large values of newforms on GL(2) with highly ramified central character
Int. Math. Res. Not. (IMRN) (2016), 2016(13): 4103-4131. DOI: 10.1093/imrn/rnv259.
- Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular
L-functions (with R. Schmidt)
J. Lond. Math. Soc. (2013), 88 (1): 251-270. DOI:10.1112/jlms/jdt008.
- Determination of modular forms by fundamental Fourier coefficients
Automorphic Representations and L-Functions (2013), Proceedings of the International Colloquium on Automorphic Representations and L-Functions (TIFR, Mumbai, India).
- Siegel cusp forms of degree 2 are determined by their fundamental
Fourier coefficients
Math. Ann. (2013), 355(1):363--380. DOI:10.1007/s00208-012-0789-x
- Pullbacks of Eisenstein series from GU(3,3) and critical L-values for GSp(4) × GL(2)
Pacific J. Math. (2010), 246(2):435--486. DOI:10.2140/pjm.2010.246.435
- L-functions for holomorphic forms on GSp(4) × GL(2) and their special values
Int. Math. Res. Not. (IMRN) (2009), 2009(10):1773--1837. DOI:10.1093/imrn/rnp001
Download an unedited version which gives more computational details:
- Hilbert modular forms of weight 1/2 and theta functions (with S. Achimescu)
J. Number Theory (2008), 128(12):3037--3062. DOI:10.1016/j.jnt.2008.04.001
Ph.D. Thesis
Expository mathematics articles
Selected talk Slides
- A 60-minute talk on mass equidistibution for Saito-Kurokawa lifts, given at the University of Oxford, 2023
- A 60-minute talk on the Manin constant and Fourier expansions at cusps, given at the University of Nottingham, 2022
- A 20-minute talk on critical values and algebraicity, given at AFW 2018
- A 60-minute colloquium style talk on some analytic aspects of automorphic forms, given at the University of Oklahoma, 2018
- A 60-minute talk on sup-norms for newforms of powerful level, given at Copenhagen, 2016
- A 60-minute survey talk on Siegel cusp forms of degree 2 that I gave at Sheffield in 2014.
- A 45-minute talk at the BMC 2014, focussing on nearly holomorphic modular forms of degree 2.
- A 60-minute talk on non-vanishing of fundamental Fourier coefficients and applications, given at TIFR in 2012.
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