Gauss Lectureship, 2016
Berwick Prize, joint with P.-E. Caprace, 2015
Fellow of the American Mathematical Society, 2012.
ERC Advanced Investigator [press release].
ICM invited lecturer, 2006
AMS Central Section Meeting, plenary speaker, 2005
Salomon Bochner Lectures in Mathematics, Rice University, 2004
Clay Mathematics Institute, Research Scholar, 2003
Rothschild Caesarea grant, 2015–2017
FNS grants 184630 (2019-2021), 172772 (2017-2019), 200021-159574 (2015–2017), CRSI22-130435 (2010–2013), 200020-126817 (2009–2012), 200020-121675 (2008–2009), 200020-117596 (2007–2008), 200020-113256 (2006–2007), 8220-067641 (2002–2004)
NSF grant DMS 0204601, 2002–2005
ETH Medal and prize for the doctoral dissertation, 2001