Bounds for the multiplicities of cohomological automorphic forms on *GL*_{3}/Q in the weight aspect

Submitted.

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

(With S. W. Shin) Forum Math. Sigma, to appear.

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 *GL*_{2}

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

Upper bounds for Maass forms on semisimple groups

Preprint.

Lower bounds for Maass forms on semisimple groups

(With F. Brumley) Submitted.

Local bounds for L^{p} 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.

L^{p} 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 SL_{3} 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 *GL*_{2}

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

Erratum to “ Mass equidistribution for automorphic forms of cohomological type on *GL*_{2} ”

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

Appendix to Asymptotic trace formula for the Hecke operators by J. Jung and N. Sardari, submitted.

On the number of harmonic frames

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

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.

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.