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Preprints


Publications

The pdf files below correspond to the "postprint" (final accepted version). To access the final published version, click the DOI links.

  • The Manin constant and the modular degree (with K. Česnavičius and M. Neururer) [pdf
    J. Eur. Math. Soc. (JEMS) (to appear).
  • On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2 (with B. Paul) [pdf
    Int. Math. Res. Not. (IMRN) (to appear).
  • Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity (with Y. Hu) [pdf
    Compositio Math. (2020), 156(11): 2368-2398. DOI: 10.1112/S0010437X20007460
  • On sup-norms of cusp forms of powerful level [pdf
    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) [pdf
    RIMS Kokyyroku (2016), 1973: 141-153.
  • Large values of newforms on GL(2) with highly ramified central character [pdf
    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) [pdf
    J. Lond. Math. Soc. (2013), 88 (1): 251-270. DOI:10.1112/jlms/jdt008.
  • Determination of modular forms by fundamental Fourier coefficients [pdf
    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 [pdf
    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) [pdf
    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 [pdf
    Int. Math. Res. Not. (IMRN) (2009), 2009(10):1773--1837. DOI:10.1093/imrn/rnp001
    Download an unedited version which gives more computational details: [pdf
  • Hilbert modular forms of weight 1/2 and theta functions (with S. Achimescu) [pdf
    J. Number Theory (2008), 128(12):3037--3062. DOI:10.1016/j.jnt.2008.04.001

Ph.D. Thesis


Other articles


Selected talk Slides

  • A 20-minute talk on critical values and algebraicity, given at AFW 2018 [pdf
  • A 60-minute colloquium style talk on some analytic aspects of automorphic forms, given at the University of Oklahoma, 2018 [pdf
  • A 60-minute talk on sup-norms for newforms of powerful level, given at Copenhagen, 2016 [pdf
  • A 60-minute survey talk on Siegel cusp forms of degree 2 that I gave at Sheffield in 2014. [pdf
  • A 45-minute talk at the BMC 2014, focussing on nearly holomorphic modular forms of degree 2. [pdf
  • A 60-minute talk on non-vanishing of fundamental Fourier coefficients and applications, given at TIFR in 2012. [pdf