Research Interests
Langlands' beyond endoscopy proposal for establishing functoriality motivates interesting and concrete problems in the representation theory of algebraic groups. Historically, there are important antecedents of this in the relationship between Artin L-functions and Brauer theory, a beautiful subject combining Galois theory and finite group theory. At this point very little is known about the general picture and thus the community is in dire need of concrete examples. My current work is devoted to producing such examples using techniques from the representation theory of finite groups and algebraic groups.
Selected Grants
RTG: Linked via L-functions: training versatile researchers across number theory
Inst. Training Prgm or CMEPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2028Re:boot Number Theory
ConferenceCo-Principal Investigator · Awarded by National Security Agency · 2016 - 2018Fellowships, Gifts, and Supported Research
Visiting Associate Professor ·
September 2020
- August 2021
Awarded by: POSTECH and NRF grant by YoungJu Choie
Member of the IAS ·
January 2018
Awarded by: Institute for Advanced Study
Visiting Scholar ·
August 2016
Awarded by: Korea Institute for Advanced Study (KIAS)
Education and Human Development Grant ·
August 2013
- May 2014
Awarded by: Bass Connections
Discovery Grant ·
August 2010
- July 2012
Awarded by: NSERC (386551-2010-RGPIN)
Postdoctoral Support ·
July 2005
- June 2007
Awarded by: NSF FRG (DMS 0244660), University of Rochester
University Fellowship ·
2004
Awarded by: University of Illinois at Urbana-Champaign
Predoctoral Fellowship ·
2003
Awarded by: University of Illinois at Urbana-Champaign
External Relationships
- Postech Mathematics Institute
This faculty member (or a member of their immediate family) has reported outside activities with the companies, institutions, or organizations listed above. This information is available to institutional leadership and, when appropriate, management plans are in place to address potential conflicts of interest.