Papers

• Uniform bounds and uncertainty for asymptotics of representations of p-adic GL_N

With Rahul Dalal and Mathilde Gerbelli-Gauthier, preprint.

• Petersson norms of Borcherds theta lifts to O(1, 8n + 1) with applications to injectivity and sup-norm bounds

With Hiro-aki Narita and Ameya Pitale, preprint.

• Subconvexity for L-functions on U (n) × U (n + 1) in the depth aspect

Preprint.

• Concentration properties of theta lifts on orthogonal groups

With Farrell Brumley, preprint.

• Upper bounds for Maass forms on semisimple groups

Preprint.

• Appendix to Asymptotic trace formula for the Hecke operators, by Junehyuk Jung and Naser Sardari.

Math. Annalen (2020), https://doi.org/10.1007/s00208-020-02054-w.

• Lower bounds for Maass forms on semisimple groups

With Farrell Brumley.  Compositio Math. 156 no. 5 (2020), 959-1003. https://doi.org/10.1112/S0010437X20007125.

• Bounds for the number of cohomological automorphic representations of GL3/Q in the weight aspect

IMRN (2020), https://doi.org/10.1093/imrn/rnaa048.

• Endoscopy and cohomology in a tower of congruence manifolds for U (n, 1)

With Sug Woo Shin.  Forum Math. Sigma (2019), vol. 7, e19, doi:10.1017/fms.2019.13.

• On the number of harmonic frames.

With Shayne Waldron.  Appl. and Comp. Harm. Ann. (2018), https://doi.org/10.1016/j.acha.2018.02.004

• Endoscopy and cohomology of a quasi-split U (4)

In Families of Automorphic Forms and the Trace Formula, Simons Symposia, 297-325. Springer (2016). DOI 10.1007/978-3-319-41424-9.

• Local bounds for Lp norms of Maass forms in the level aspect

Algebra and Number Theory 10 no. 3 (2016), 803-812, DOI: 10.2140/ant.2016.10.803.

• Lp norms of higher rank eigenfunctions and bounds for spherical functions

J. European Math. Soc. 18 issue 7 (2016), 1437-1493, DOI: 10.4171/JEMS/619.

• Geodesic restrictions of arithmetic eigenfunctions

Duke Math. J. 165 no. 3 (2016), 463-508.

• Restrictions of SL3 Maass forms to maximal flat subspaces

IMRN 2015 no. 16 (2015), 6988-7015, doi:10.1093/imrn/rnu155.

• Endoscopy and cohomology growth on U (3)

Compositio Math. 150 (2014), 903-910. Available on CJO2014 doi: 10.1112/S0010437X13007720.

• Triple product L-functions and quantum chaos on SL(2, C)

Israel J. Math. 200 (2014), 423-448, doi: 10.1007/s11856-014-1044-9.

• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds

With Werner Müller.  Duke Math. J. 162 no. 5 (2013), 863-888.

• Theta lifting and cohomology growth in p-adic towers

With Matthieu Cossutta.  IMRN 2013 no. 11 (2013), 2601-2623, doi: 10.1093/imrn/rns139.

• Zero repulsion in families of elliptic curve L-functions and an observation of S. J. Miller

Bull. London Math. Soc. 45 no. 1 (2013), 80-88, doi: 10.1112/blms/bds063.

• Bounds for multiplicities of automorphic forms of cohomological type on GL2

Annals of Math. 175 no. 3 (2012), 1629-1651.

• Erratum to “Mass equidistribution for automorphic forms of cohomological type on GL2"

J. Amer. Math. Soc. 25 (2012), 615-616.

• Mass equidistribution for automorphic forms of cohomological type on GL2

J. Amer. Math. Soc. 24 (2011), 1051-1103.

• Eigenvalues of schroedinger operators with potential asymptotically homogeneous of degree -2

With Andrew Hassell.  Trans. AMS 360 (2008), 4145-4167.

• Another simple proof of the high girth, high chromatic number theorem

Amer. Math. Monthly 115 no. 1 (2008), 68-70.

• On the existence of extremal cones and comparative probability orderings

J. Math. Psych. 51 no. 5 (2007), 319-324.

• Orders on multisets and discrete cones

With Marston Conder and Arkadii Slinko.  Order 24 no. 4 (2007), 277-296.