| 2023-present |
Department Chair, University of Utah |
| 2017-2019 |
Associate Department Chair, University of Utah |
| 2014-present |
Professor, University of Utah |
| 2009-2014 |
Associate Professor, University of Utah |
| 2005-2011 |
John E. and Marva M. Warnock Presidential Endowed Chair, University of Utah |
| 2005-2009 |
Assistant Professor, University of Utah |
| 2002-2005 |
T. H. Hildebrandt Research Assistant Professor, University of Michigan |
| 01/19-05/19 |
Research Professor, MSRI, Birational Geometry and Moduli Spaces |
| 05/11-06/11 |
Visiting Professor, École Normale Supérieure |
| 05/09-07/09 |
Visiting Scholar, Institut de Mathématiques de Jussieu |
| 01/09-05/09 |
Research Member, MSRI, Jumbo Program in Algebraic Geometry |
| May 2005 |
Visiting Scholar, Università di Genova |
| 09/05-04/06 |
Member, Institute for Advanced Study |
| 09/99-12/99 |
Visiting Research Assistant, University of Hong Kong |
| Class 2019 |
Fellow of the American Mathematical Society |
| 2012-2013 |
Simons Fellow in Mathematics |
| 2009 |
Fellowship, Foundation Sciences Mathématiques de Paris |
| 2005 |
Fellowship, Istituto Nazionale di Alta Matematica |
| 2002-2005 |
Rackham Research Grant, University of Michigan |
| 2002 |
Rackham Faculty Summer Fellowship, University of Michigan |
| 2000-2001 |
University Fellowship, University of Illinois at Chicago |
| 1996-2000 |
Doctoral Scholarship, Università di Genova |
| 2020-2023 |
NSF Grant DMS-2001254, PI |
| 2019-2020 |
SB196 Math Teacher Preparation Grant, Office of the Commissioner, Utah System of Higher Education, PI |
| 2017-2020 |
NSF Grant DMS-1700769, PI |
| 2015 |
NSF Grant 1447423, 2015 AMS Summer Institute in Algebraic Geometry, Co-PI |
| 2015 |
NSF Grant 1500652, The Boot Camp for the 2015 Algebraic Geometry Summer Research Institute, Co-PI |
| 2015 |
NSA Grant H98230-15-1-0225, AMS Summer Institute in Algebraic Geometry, PI |
| 2014-2017 |
NSF Grant DMS-1402907, PI |
| 2013–2018 |
NSF RTG Grant DMS-1246989, Algebraic Geometry and Topology at the University of Utah, Co-PI & Co-Director |
| 2013-2016 |
NSF FRG Grant DMS-1265285, PI |
| 2009-2014 |
NSF CAREER Grant DMS-0847059, PI |
| 2005-2008 |
NSF Grant DMS-0548325, PI |