I am an Associate Professor of Mathematics in the School of Mathematical and Statistical Sciences at Southern Illinois University.
My research interests lie in the fields of number theory, automorphic forms, representation theory, and harmonic analysis on reductive p-adic groups. I am particularly interested in questions arising from the Langlands program.
Prior to joining SIU in 2015 (Assistant Professor 2015-2020; Associate Professor 2020-present), I was a Visiting Assistant Professor from 2012 to 2015 at Oklahoma State University. For Spring 2013, I was a Postdoctoral Fellow at ICERM, Brown University and joined the Semester Program on "Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series."
I received my Ph.D. in Mathematics in 2012 at Purdue University under the direction of Professor Freydoon Shahidi. I obtained my B.S. in Mathematics at Korea University, Seoul, and was a graduate student at POSTECH, Pohang, South Korea, before coming to Purdue.
Research Visits: Institut des Hautes Études Scientifiques, IHÉS Invited Researchers; Hausdorff Research Institute for Mathematics, Trimester Program; Max-Planck-Institut für Mathematik, Guest Programs; POSTECH Mathematics Institute, Hwarang Program.
Current Funding Support: Simons Foundation Travel Support for Mathematicians (formerly known as Collaboration Grants).
Papers / Preprints (published versions linked to journal may slightly differ from arXiv)
Representations of the p-adic GSpin4 and GSpin6 and the adjoint L-function (with Mahdi Asgari). arXiv
On compatibility in restriction of Arthur's conjecture for R-groups, Research in Number Theory, to appear. journal, arXiv
Weakly unramified representations, finite morphisms, and Knapp-Stein R-groups, Manuscripta Math., Vol. 172 (2023), 871–884. journal
Tempered non-discrete spectrum for pseudo-z-embedding, Proc. Amer. Math. Soc., Vol. 149 (2021), No. 7, pp.2841-2850. journal
R-groups for unitary principal series of Spin groups (with Dubravka Ban, David Goldberg), J. Number Theory, Vol. 225 (2021), pp.125-150. journal
On multiplicity in restriction of tempered representations of p-adic groups, Math. Z., Vol. 291, Issue 1-2 (2019), pp.449-471. journal, pdf(typo fixed)
R-group and multiplicity in restriction for unitary principal series of GSpin and Spin (with Dubravka Ban, David Goldberg), GANITA, Springer Proceedings in Mathematics & Statistics, in honour of Professor Kumar Murty's 60th Birthday, Vol. 251 (2018), pp.59-69. journal
Behavior of R-groups for p-adic inner forms of quasi-split special unitary groups (with David Goldberg), Special issue of Bulletin Iranian Mathematical Society (BIMS), in honor of Professor Freydoon Shahidi's 70th birthday, Vol. 43(2017), No. 4, pp.117-141. journal, pdf(typo fixed)
The local Langlands conjecture for p-adic GSpin4, GSpin6, and their inner forms (with Mahdi Asgari), Forum Math., Vol. 29, Issue 6 (2017), pp.1261-1290. journal, pdf(typo fixed)
Transfer of Plancherel measures for discrete series representations between p-adic inner forms, with an appendix by Tasho Kaletha
The local Langlands conjecture for the p-adic inner form of Sp4, Int. Math. Res. Notice 2017; 2017 (6): pp.1830-1889. journal, pdf(typo fixed)
Generalized pseudo-coefficients of discrete series of p-adic groups, Asian J. Math., Vol. 20 (2016), no. 5, pp.969-988. journal
Invariance of R-groups between p-adic inner forms of quasi-split classical groups (with David Goldberg), Trans. Amer. Math. Soc. 368 (2016), no. 2, pp.1387–1410. journal
Transfer of R-groups between p-adic inner forms of SLn (with David Goldberg), Manuscripta Math. Vol. 146, Issue 1 (2015), pp.125-152. journal
Transfer of Plancherel measures for unitary supercuspidal representations between p-adic inner forms, Canad. J. Math. 66 (2014), no. 3, pp.566-595. journal
Teaching: Along with instructing courses in regular curriculum, developing and delivering non-regular courses in advanced graduate topics, university honors seminars, interdisciplinary subjects, are also of great interest and pleasure to me.
