Honors & Awards

• Fellow of the Royal Society . Royal Society, 07/01/2019
• Member of the National Academy of Sciences. National Academy of Sciences, 01/2019
• Breakthrough Prize. 01/01/2018
• Member of the American Academy of Arts and Sciences. American Academy of Arts and Sciences, 01/2017
• EH Moore Research Article Prize. American Math Soc, 01/2016
• Distinguished scholarly and creative research award . Uni. Utah, 06/2015
• Fellow of the American Mathematical Society. 01/01/2013
• Antonio Feltrinelli prize in Mathematics and applications. Accademia dei Lincei, 01/01/2011
• Frank Nelson Cole Prize in Algebra. 01/2009
• Clay Research Award. 01/2007
• A.M.S. Centennial Fellowship. 01/2006
• A. P. Sloan Fellowship. 01/2003