Education and Employment

• Associate Professor, Ulsan National Institute of Science and Technology, Mar. 2024 - present.

• Assistant Professor, Ulsan National Institute of Science and Technology, Feb. 2019 - Feb. 2024.

• CMC Fellow, Korea Institute for Advanced Study, Sep. 2018 - Jan. 2019.

• Research Fellow, Korea Institute for Advanced Study, Aug. 2015 - Aug. 2018 (Mentor: Youn-Seo Choi).

• Postdoctoral Fellow, Max Planck Institute for Mathematics, Bonn, Aug. 2014 - July 2015.

• Postdoctoral Fellow, University of Toronto, July 2013 - June 2014 (Mentor: Florian Herzig).

• Ph. D., University of Arizona, May 2013 (Advisor: David Savitt).

Research Interests

• Weight part of Serre's conjecture.

• Breuil--Mezard conjecture.

• Mod-p local-global compatibility.

• Emerton--Gee stacks.

• Local models for Galois deformation rings.

Papers

• On families of strongly divisible modules of rank 2 (with S. Han)
  in preparation, about 130 pages.

• Moduli of Fontaine--Laffaille representations and a mod-p local-global compatibility result (with D. Le, B. Le Hung, S. Morra, Z. Qian)
  Mem. Amer. Math. Soc. (to appear), 169 pages pdf.

• Colength one deformation rings (with D. Le, B. Le Hung, S. Morra, Z. Qian)
  Trans. Amer. Math. Soc. 377 (2024) 5749--5786 pdf. 

• Semi-stable deformation rings in even Hodge--Tate weights: the residually reducible case (with W. Lee)
  Int. J. Number Theory 18 no.10 (2022) 2171--2209 pdf.

• On mod p local-global compatibility for GL_n(Q_p) in the ordinary case (with Z. Qian)
  Mém. Soc. Math. France 173 (2022) vi+150 pdf.

• A classification of Breuil modules
  Israel J. Math. 242 (2021) 605–635 pdf.

• Semi-stable deformation rings in even Hodge--Tate weights (with L. Guerberoff)
  Pacific J. Math. 298-2 (2019) 299--374 pdf.

• On mod p local-global compatibility for GL_3(Q_p) in the non-ordinary case (with D. Le, S. Morra)
  Proc. Lond. Math. Soc. 117 (2018) 790--848 pdf.

• Serre weights for three-dimensional ordinary Galois representations (with S. Morra)
  J. Lond. Math. Soc. 96 (2017) 394--424 pdf.

• Reduction modulo p of certain semi-stable representations
  Trans. Amer. Math. Soc. 369 (2017) 5425--5466 pdf.

• Regular filtered (ϕ,N)-modules of dimension  3
  J. Number Theory 163 (2016) 406--433 pdf.

• Semi-stable deformation rings in Hodge--Tate weights (0,1,2)
  Thesis, University of Arizona (2013).

Grants / Awards / etc.

• KIAS Alumni Academic Award, Korea Institute for Advacned Study, 2023

• Grant from Samsung Science & Technology Foundation (PI), Aug. 2020.

• Basic Research Lab (BRL), National Research Foundation of Korea (Co-I), July 2020 -- Feb. 2023.

• Posco TJ Park Science Fellowship for Young Professors, 2020.

• Associate Member, Korea Institute for Advanced Study, Apr. 2019 -- Feb. 2020.

• KIAS Research Fellow Award, Korea Institute for Advanced Study, 2016.
  
  

Teaching

Spring 2024

• • Modern Algebra I

Fall 2023

• • Algebraic Topology

Spring 2023

• • Advanced Algebra

Fall 2022

• • Elementary Number Theory

Spring 2022

• • Algebraic Geometry II

Fall 2021

• • Algebraic Geometry I

  • Modern Algebra II

Spring 2021

• • Modern Algebra I

Students

Current:

• • Hyeonmin Kim (Ph.D. expected in 2029)

  • Seongjae Han (Ph.D. expected in 2027)

  • Euntaek Lee (Ph.D. expected in 2027)

Former:

• • Hyeonmin Cheon (Ms in 2023, currently PhD program at Indiana Univ.)

Upcoming Events / Useful Links

• Summer school on Galois representations and Reciprocity 

• The arithmetic of the Langlands program

• UNIST Number Theory Group

• Korea--France Number Theory Seminar

• Arxiv-Number Theory

• Spring school towards mod-p Langlands correspondence.