Professor - University of Utah


Department of Mathematics
University of Utah
155 South 1400 East
Salt Lake City, UT 84112
Office: JWB 322
Phone: (801) 581-7121
Fax: (801) 581-4148


My research is in algebraic geometry. The main focus has been on the study of invariants of singularities and birational geometry of algebraic varieties in characteristic zero, especially in regards to log canonical thresholds, multiplier ideals, and questions of rationality. Recently, my research interests have shifted more towards understanding the structure of arc spaces and other valuation spaces.
research partially suppported by the National Science Foundation



Math Ed I am the Chair of the Mathematics Education Committee. In this capacity, I oversee the Elementary math education courses within the undergraduate program, the Secondary Math Teaching Major with initial licensure, the Master of Science in Mathematics Teaching degree program, and the Math for America Fellows and Master Teachers
Coordinator I am the coordinator of the sequence Math 3210-3220 Foundations of Analysis. For general syllabi, see If you have been assigned as an instructor for one of these classes and haven't taught it before, feel free to contact me and I will be happy to discuss anything related to the class in further details.