Member, the Academia Europaea
Fellow, the European Academy of Sciences
Fellow, the American Association for the Advancement of Science (AAAS)
Verne M. Willaman Professor of Mathematics
Fellow, inaugural class, American Mathematical Society (AMS)
2011 SIAM Fellow (see Penn State Science)
Francis R. and Helen M. Pentz Professor of Science
Invited speaker, ICM 2010
Ten breakthroughs in computational science by DOE
Invited speaker, ICIAM 2007
Humboldt Award, 2005
Top 25 Highly Cited Institutions and Authors in Mathematics, 1991–2001