Areas: the Langlands program, endoscopy, representation theory, harmonic analysis, Galois cohomology
On the Kottwitz conjecture for local Shimura varieties (with Jared Weinstein and an appendix by David Hansen)
Regular supercuspidal representations
Rigid inner forms vs isocrystals
PDF Journal of the European Mathematical Society (JEMS) 20 (2018), no. 1, 61-101.
Global rigid inner forms and multiplicities of discrete automorphic representations
PDF Inventiones Mathematicae 213 (2018), no. 1, 271-369.
The local Langlands conjectures for non-quasi-split groups
PDF Families of Automorphic Forms and the Trace Formula, Simons Symposia, Springer 2016, 217-257.
Endoscopic classification of representations: Inner forms of unitary groups (with Alberto Minguez, Sug Woo Shin, and Paul-James White)
A converse to Lurie's functorial construction of simply laced Lie algebras
Appendix to "On the 2-Selmer groups of plane quartic curves with a marked point" by Jack Thorne
PDF Algebra & Number Theory 10 (2016), no. 7, 1373-1413.
Rigid inner forms of real and p-adic groups
PDF Annals of Mathematics 184 (2016), no. 2, 559-632.
Epipelagic L-packets and rectifying characters
PDF Inventiones Mathematicae 202 (2015), no. 1, 1-89.
Depth-zero supercuspidal L-packets on general inner forms
Appendix to "Transfer of Plancherel measures for discrete series representations between p-adic inner forms" by Kwangho Choiy
Genericity and contragredience in the local Langlands correspondence
PDF Algebra & Number Theory 7 (2013), no. 10, 2447-2474.
Supercuspidal L-packets via isocrystals
PDF American Journal of Mathematics 136 (2014), no. 1, 203-239.
Quantifying residual finiteness of arithmetic groups (with Khalid Bou-Rabee)
PDF Compositio Mathematica 148 (2012), no. 3, 907-920.
Endoscopic character identities for depth-zero supercuspidal L-packets
PDF Duke Mathematical Journal 158 (2011), no. 2, 161-224.
Decomposition of splitting invariants in split real groups
PDF Canadian Journal of Mathematics 63 (2011), no. 5, 1083-1106.