Email: ykim(at)jnu(dot)ac(dot)kr Office: 417 Sabum 4-ho, 77 Yongbong-ro Chonnam National University, Gwangju city, South Korea Employment: o Sept. 2016 - present: Assistant Professor, Mathematics Education, Chonnam National University, Gwangju city, South Korea. o Aug. 2013 - May 2014, May 2015 - Aug 2016: Visiting Assistant Professor, Mathematics, University of Iowa, Iowa city, IA, U.S.A. o Jun. 2015 - Jul. 2015: Postdoctoral Fellow, Max Planck Institute for Mathematics, Bonn, Germany. o Aug. 2014 - May 2015: Postdoctoral Associate, Mathematics, Iowa State University, Ames, IA, U.S.A.Education: o Aug. 2013: Ph. D., Mathematics, Purdue University, West Lafayette, IN, U.S.A. (Advisor: Professor Freydoon Shahidi) (Military Service: Jun. 2006 - Jun. 2008). o Feb. 2005: Bachelor of Science, Mathematics, Magna cum Laude, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea (Minor: Applied Mathematics)Papers - Publication: o Y. Kim, Langlands-Shahidi L-functions for GSpin groups and the generic Arthur packet conjecture, submitted, arXiv: 1507.07156. ( The first main result is `the equality of L-functions from Langlands-Shahidi method for GSpin groups and the corresponding Artin L-functions through the local Langlands correspondence.' One main tool of the first main result is the classification of strongly positive generic representations of GSpin groups. (Note that the strongly positive representations are constructed in my previous two papers and those are under the assumption on the uniqueness of the reducibility point. However, in the generic case, Shahidi proved that the reducibility point is unique and it is either 0, 1/2, 1. Therefore, the result on classification of the strongly positive generic representations is unconditional.) The second result is `the construction of generic L-packets (under the assumption on the existence of L-functions that are attached to non-generic representations).' (Note that Lemma (the representation is tempered if and only if its local functorial lift is tempered) is not based on the above assumption and is unconditional and this lemma is one crucial step when we strengthen the generic Arthur packet conjecture). The third result is the applications of the first and second results, which are `two versions (weak and strong) of the generic Arthur packet conjecture for GSpin groups (local version of the Generalized Ramanujan conjecture).' Note that the idea used in chapter 5 (definition of L-packets and its properties and applications (generic Arthur packet conjecture)) can be extended to the case of classical groups and we leave this for future research.)
( : AbstractThe main result is 'the classification of strongly positive representations of even GSpin groups and Tadic's structure formula for even GSpin groups.' Note that the even case are parallel to odd case but parts of their proof are quite different due to, for example, outer automorphism on the Dynkin diagram of even GSpin groups that permutes the last two simple roots.) o V. Heiermann and Y. Kim, On the generic local Langlands correpondence for GSpin groups, Transactions of the AMS, vol 369, 4275-4291 (2017). ( : AbstractThe main result is 'the construction of Langlands parameter that corresponds to irreducible admissible generic representations of GSpin groups with the equality of L-functions.' This result is based on the method established by the first author. Namely, assuming the existence of Langlands parameters that correspond to supercuspidal representations, the first author constructed the Langlands parameters in general in his previous papers. In this paper, we construct Langlands parameter that corresponds to supercuspidal representations (This result is based on second author's Ph.D. thesis) and apply the method of Heiermann.) o Y. Kim, Strongly positive representations of odd GSpin groups and the Jacquet module method, With an appendix, `Strongly positive representations in an exceptional rank-one reducibility case' by Ivan Matic, Mathematische Zeitschrift, vol 279, 271-296 (2015). ( : AbstractThe first main result is 'the construction of structure of Jacquet modules of parabolically induced representations of odd GSpin groups (Tadic's structure formula for odd GSpin groups).' The second result is `the classification of strongly positive representations of odd GSpin groups.' Note that the classification of strongly positive representations (even if it is not full classification of discrete series representations) has several good applications on Langlands program. For example, the results on the equality of L-functions and the proof of strong version of the generic Arthur packet conjecture in my paper [Y. Kim, Langlands-Shahidi L-functions for GSpin groups and the generic Arthur packet conjecture] are based on the classification results.) - In Preparation:Grants
Research interests:Topics of interests: o L-functions from Langlands-Shahidi method and Artin L-functions through local Langlands correspondence o Generic A-packet conjecture o Classification of (strongly positive) discrete series o The generic local Langlands correspondence o Langlands functoriality (Trace formula and Langlands-Shahidi method)(Upcoming) visits and conferences: o 07/20/2017-07/27/2017: Tata Institute of Fundamental Research, Mumbai, IndiaTalks - Conferences/Workshops Talks:
o Apr. 2016: 2nd annual conference on Number Theory, St. Ambrose University, Davenport, IA
o Aug. 2014: The International Congress of Mathematics 2014 (Short communications in Number Theory), Seoul, Korea o Jul. 2014: 2014 Workshop on Number Theory (four talks), Morningside Center of Mathematics, Academy of Mathematics and System Science, Beijing, China o Jul. 2014: Meeting of Young Number Theorists 2014, Gyeongju, Korea o Jun. 2014: Mini-workshop on Automorphic Forms and Geometric Langlands Program (three talks), Fields Institute, Toronto, ON, Canada o Jan. 2014: AMS Joint Mathematical Meeting, Special Session (Recent Progress in the Langlands program), Baltimore, MD o Oct. 2013: AMS Sectional meeting, Special Session (Automorphic Forms and Representation Theory), St. Louis, MO o Jun. 2013: AMC (Asian Mathematical Conference) 2013, Special Session (Number Theory) - Contributed Talk, Busan, Korea o Jun. 2013: PRIMA (Pacific Rim Mathematical Association), Algebra and Number Theory session, Shanghai, China o Mar. 2013: Whittaker Functions, Schubert calculus and Crystals - Poster Session, ICERM, Providence, RI o Oct. 2012: Midwest Number Theory Conference for Graduate Students and Recent PhDs IX, UIUC, Champaign, IL o Sep. 2012: TORA (Texas-Oklahoma Representations and Automorphic forms) III, University of Oklahoma, Norman, OK o Apr. 2012: TORA (Texas-Oklahoma Representations and Automorphic forms) II, Oklahoma State University, Stillwater, OK - Invited Talks: o Apr. 2016, Sept. 2015, Apr. 2014, Sept 2013: Representation Theory Seminar (two talks), University of Iowa, Iowa city, IA o Jan. 2016: Georgia Southern University, Statesboro, GA o Jul. 2015: Number Theory Lunch Seminar, Max Planck Institute for Mathematics, Bonn, Germany o Jul. 2015: Unitary Representations and Automorphic Forms Seminar, University of Zagreb, Zagreb, Croatia o Nov. 2014: Combinatorics/Algebra Seminar, Iowa State University, Ames, IA o Aug. 2014: School of Mathematics Seminars and Lectures, Tata Institute of Fundamental Research, Mumbai, India o Jul. 2013: Number Theory Seminar (two talks), Seoul National University, Seoul, Korea o Jul. 2013: Number Theory Seminar (two talks), Postech, Pohang, Korea o Jun. 2013: Number Theory Seminar, KAIST, Daejeon, Korea o Jun. 2013: Number Theory Seminar, KIAS, Seoul, Korea o Jun. 2013: Special Colloquium, Ajou University, Suwon, Korea o Jun. 2013: Number Theory Seminar, University of Chicago, Chicago, IL o Feb. 2013: Automorphic forms Seminar, Purdue University, West Lafayette, INShort-term visits: o 07/29/2014-08/11/2014: Tata Institute of Fundamental Research, Mumbai, India o 06/09/2014-06/13/2014: Fields Institute, Toronto, ON, Canada o 04/28/2014-05/04/2014: University of Illinois at Chicago, Chicago, IL o Jun 2013: Korea Institute for Advanced Study (KIAS), Seoul, Korea
Conferences Organized: o 04/12/2015: Number Theory and Representation Theory Day at Iowa, Iowa State University, Ames, IA (homepage: http://sites.google.com/site/ntrtiowa/) |