A. Knightly – Math Papers


Counting locally supercuspidal newforms, 2023 preprint, 68 pages. [pdf]

(With Charles Li) On the distribution of Satake parameters for Siegel modular forms, Doc. Math. 24 (2019), 677-747. [pdf]

(With MA student Caroline Reno) Weighted distribution of low-lying zeros of GL(2) L-functions, Canad. J. Math., 71 (2019), no. 1, 153-182. [pdf]

(With MA student Julia Jackson) Averages of twisted L-functions, J. Aust. Math. Soc. 99 (2015), no. 2, 207-236. [pdf]

(With Charles Li) Simple supercuspidal representations of GL(n), Taiwanese J. Math. 19 (2015), no. 4, 995-1029. [pdf]

(With MA student Carl Ragsdale) Matrix coefficients of depth-zero supercuspidal representations of GL(2), Involve 7 (2014), no. 5, 669-690. [pdf]

(With Charles Li) Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms, Mem. Amer. Math. Soc. 224 (2013), no. 1055, 132 pages. [pdf] (best)
In AMS bookstore
[AMS pdf] (in the latter, a few matrices are formatted incorrectly.)

(With Charles Li) Modular L-values of cubic level, Pac. J. Math. 260 (2012), No. 2, 527-563. [pdf]

(With Charles Li Weighted averages of modular L-values, Trans. Amer. Math. Soc. 362, no. 3 (2010), 1423-1443. [pdf][dvi]

(With Charles LiPetersson’s trace formula and the Hecke eigenvalues of Hilbert modular forms, Modular Forms on Schiermonnikoog, 145-187, edited by Edixhoven, van der Geer and Moonen, Cambridge Univ. Press, 2008. [pdf][dvi]

(With Charles Li) Traces of Hecke Operators, Math. Surv. and Monographs, 133, Amer. Math. Soc., 2006. Excerpt: [pdf] in AMS bookstore

(With Charles Li) A relative trace formula proof of the Petersson trace formula, Acta Arithmetica, 122, No. 3 (2006), 297-313. [pdf][dvi]

Tate classes on a product of two Picard modular surfaces, J. Number Theory 107 (2004), 335-344. [pdf]

Galois representations attached to representations of GU(3), Math. Ann. 321 (2001), no. 2, 375-398. [pdf]

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