Menu:

Papers and Preprints

Cohomology

Bounds for the multiplicities of cohomological automorphic forms on GL3/Q in the weight aspect
Preprint.

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.

Endoscopy and cohomology growth on U(3)
Compositio Math. 150 (2014), 903-910.
Available on CJO2014 doi:10.1112/S0010437X13007720.

On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
(With W. Müller) Duke Math. J. 162 no. 5 (2013), 863-888.

Theta lifting and cohomology growth in p-adic towers
(With M. Cossutta) IMRN, doi:10.1093/imrn/rns139.

Bounds for the multiplicities of cohomological automorphic forms on GL2
Ann. of Math. 175 no. 3 (2012), 1629-1651.

Asymptotics of Eigenfunctions

Sup norms of Maass forms on semisimple groups
Preprint.

Lower bounds for Maass forms on semisimple groups
(With F. Brumley) Submitted.

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. Eur. 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, DOI 10.1215/00127094-3166736.

Restrictions of SL3 Maass forms to maximal flat subspaces
IMRN, doi:10.1093/imrn/rnu155.

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.

Mass equidistribution for automorphic forms of cohomological type on GL2
J. Amer. Math. Soc. 24 (2011), 1051-1103.

Erratum to “ Mass equidistribution for automorphic forms of cohomological type on GL2
J. Amer. Math. Soc. 25 (2012), 615-616.

Miscellany

On the number of harmonic frames
(With S. Waldron) Preprint.

Some Eisenstein series motivated by string theory
Draft note.

Zero repulsion in families of elliptic curve L-functions and an observation of S. J. Miller
BLMS 2012; doi: 10.1112/blms/bds063.

Older Papers

Eigenvalues of schrüdinger operators with potential asymptotically homogeneous of degree -2
(With A. 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 M. D. E. Conder and A. Slinko) Order 24 no. 4 (2007), 277-296.