Employment

  • Professor, USC, CA, January 2020-present
  • Associate Professor, USC, CA, July 2015-January 2020
  • Associate Professor, UC Riverside, CA, July 2014-June 2015
  • Assistant Professor, UC Riverside, CA, July 2010-June 2014
  • Courant Instructor, Courant Institute of Mathematical Sciences, NYU, NY, September 2008-June 2010
  • Postdoctoral Member, Institute for Advanced Study, Princeton, NJ, September 2007-August 2008

Education

  • Ph.D. in Mathematics, Brown University, 2007
  • M.Sc. in Mathematics, Brown University, 2004
  • B.Sc. in Mathematics (summa cum laude), Seoul National University, 2000

Honors and Awards

  • Frontiers of Science Award, The International Congress for Basic Science, Beijing, China, July 2023
  • NSF grant DMS-2306910 (PI), 2023-2026
  • NSF grant DMS-2009458 (PI), 2020-2023
  • WiSE Major Support for Current Faculty Program, WiSE, USC, January 2021-May 2021
  • Chern Professorship, MSRI, Berkeley, January 2021-May 2021
  • Simons Fellowship, August 2019-August 2020
  • KIAS scholar, Korea Institute for Advanced Study, Korea, May 2016
  • IAS von Neumann fellowship, Institute for Advanced Study, Princeton, September 2015-May 2016
  • NSF CAREER grant DMS-1608494 (DMS-1351898) (PI), 2014-2020
  • NSF grant DMS-1608492 (DMS-1212142) (PI), 2012-2017
  • Travel award: Research in Pairs at Mathematisches Forschungsinstitut Oberwolfach, Germany (with F. Li and J.-M. Qiu), June 24-July 7, 2012
  • Invited Research Fellow at ICERM, Brown University, Fall 2011
  • NSF grant DMS-0908007 (PI), 2009-2012
  • AWM-NSF Travel Grant recipient, 2007
  • Post-doc/early career Travel Award to attend the SIAM Conference, 2007
  • 2007 Symbolic PhD Degree Recipient for the Brown University Commencement Ceremony
  • Dissertation Fellowship, Brown University, 2006
  • University Fellowship, Brown University, 2003

Editorial Board

  • Associate Editor for SIAM Journal on Mathematical Analysis (SIMA), January 2022 –
  • Associate Editor for Kinetic and Related Models (KRM), January 2022 –
  • Associate Editor for Journal of Mathematical Analysis and Applications (JMAA), September 2021 –

Invited Talks and Presentations

  • PDE seminar, Penn State University, April 2024
  • Workshop on PDEs, University of Pittsburgh, PA, April 2024
  • AMS Spring Southeastern Sectional Meeting, Florida State University, Tallahassee, FL, March 2024
  • Princeton Gravity Initiative seminar, December 2023
  • Reunion Seminar, Mathematical Problems in Fluid Dynamics, part 2, MSRI, Berkeley, August 2023
  • Nonlinear Analysis Seminar, Nagoya Institute of Technology, Japan, June 2023
  • SAARC seminar, KAIST, Korea, June 2023
  • ICMS workshop on Singularity formation in general relativity and dispersive PDEs, Edinburgh, UK, May 2023
  • London PDE Seminar, University College London, UK, May 2023
  • Nonlinear PDEs seminar, Texas A&M University, April 2023
  • Colloquium, Department of Mathematics and Institute of Mathematical Sciences, The Chinese University of Hong Kong, April 2023 (Online)
  • Analysis seminar, The University of Texas at Austin, April 2023
  • Caltech-UCLA-USC joint Analysis and PDE Seminar, Los Angeles, September 2022
  • When Kinetic Theory meets Fluid Mechanics, ETH Zurich, Switzerland, July 2022
  • The Riviere-Fabes symposium 2022, University of Minnesota, Minnesota, April 2022
  • Colloquium, University of Southern California, Los Angeles, April 2022
  • Workshop on Recent Developments in Incompressible Fluid Dynamics, Institute for Advanced Study, Princeton, April 2022
  • Colloquium, KAIST, Korea, December 2021 (Online)
  • Colloquium, Tulane University, December 2021 (Online)
  • SAARC Conference on Stochastic Analysis and PDE, KAIST, Korea, November 2021 (Online)
  • Symposium for new researchers, Korean Mathematical Society, Korea, October 2021 (online)
  • BIRS workshop on New Mechanisms for Regularity, Singularity, and Long Time Dynamics in Fluid Equations, Banff, Canada, July 2021 (Online)
  • RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, Kyoto, Japan, July 2021 (Online)
  • Long Time Behavior and Singularity Formation in PDEs, SITE Research Center, NYU Abu Dhabi, June 2021 (Online)
  • Euler/Navier-Stokes seminar, MSRI, Berkeley, May 2021 (Online)
  • Analysis of Fluids and Related Topics, Princeton University, April 2021 (Online)
  • MSRI Workshop on Recent Developments in Fluid Dynamics, MSRI, Berkeley, April 2021 (Online)
  • Symposium on PDE 2021, The Education University of Hong Kong, February 2021 (Online)
  • Mathematical perspectives of gravitation beyond the vacuum regime, Erwin Schrodinger Institute for Mathematics and Physics (ESI), Vienna, Austria, February 2021 (Online)
  • Colloquium, Brown University, January 2021 (Online)
  • MU-MST Joint Analysis seminar, Missouri University of Science and Technology/University of Missouri, December 2020 (Online)
  • Analysis seminar, Caltech, December 2020 (Online)
  • The Eighth Pacific Rim Conference in Mathematics: Inviscid Fluid Mechanics and General Relativity, August 2020
  • Colloquium, Vanderbilt University, April 2020 (canceled due to COVID19)
  • INdAM Workshop on Recent advances in kinetic equations and applications, Rome, Italy, November 2019
  • KI-Net workshop on Forward and Inverse Problems in Kinetic Theory, University of Wisconsin at Madison, October 2019
  • PDE seminar, Ohio State University, September 2019
  • Oberwolfach workshop, MFO, Germany, August 2019
  • AMS Western Sectional Meeting, University of Hawaii at Manoa, March 2019
  • 2019 WiSE Research Horizon Symposium, University of Southern California, March 2019
  • Calderon-Zygmund analysis seminar, University of Chicago, February 2019
  • The 12th AIMS conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 2018
  • The 14th KWMS international conference, Korea Institute for Advance Study, Korea, June 2018
  • 2018 KAIX School in PDE: Dynamics of partial differential equations (mini course, 3hrs), KAIST, Korea, June 2018
  • PDE Workshop 2018, NIMS, Korea, June 2018
  • Colloquium, Yonsei University, Korea, June 2018
  • 2018 Shanks Workshop on Mathematical Aspects of Fluid Dynamics, Vanderbilt University, March 2018
  • Optimal transport and related topics, Korea Institute for Advance Study, Korea, August 2017
  • The 13th KWMS (Korean Women in Mathematical Sciences) international conference (plenary), Pohang, Korea, June 2017
  • Analysis and Applied Mathematics Seminar, University of Illinois at Chicago, April 2017
  • Workshop on Partial Differential Equations and Applications, University of Pittsburgh, March 2017
  • PDE Seminar, UC Davis, February 2017
  • PDE Seminar, Brown University, January 2017
  • ICERM Workshop on Current Developments in Mathematical Fluid Dynamics: Regularity, Instabilities, and Turbulence, ICERM, Brown University, January 2017
  • Analysis and PDE seminar, University of Southern California, November 2016
  • Southern California Analysis and Partial Differential Equations Conference, UCLA, October 2016
  • STEM Bytes seminar for undergraduates, University of Southern California, October 2016
  • PDE seminar, Yonsei University, Korea, July 2016
  • Workshop on Harmonic analysis and related Partial Differentia Equations, Chosun University, Korea, July 2016
  • RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, Kyoto University, Japan, July 2016
  • Lunch seminar at MIT summer school on Geometric Analysis of Waves and Fluids, MIT, June 2016
  • PMI Workshop for Women in PDEs and related Topics, Pohang University of Science and Technology, Korea, May 2016
  • Analysis seminar, Institute for Advanced Study, Princeton, April 2016
  • CNA Seminar, Carnegie Mellon University, Pittsburgh, March 2016
  • PDE and Analysis seminar, University of Pittsburgh, March 2016
  • Applied Mathematics Colloquium, Penn State University, February 2016
  • Analysis of Fluids and Related Topics, Princeton University, February 2016
  • CAMS Colloquium, University of Southern California, August 2015
  • Nonlinear Analysis seminar, Keio University, Japan, August 2015
  • Analysis and PDE seminar, Korea Institue for Advance Study, Korea, July 2015
  • AWM Research Symposium, University of Maryland, April 2015
  • Applied Mathematics Seminar, The George Washington University, April 2015
  • Colloquium, University of Southern California, January 2015
  • Colloquium, UC Santa Barbara, December 2014
  • Geometric analysis and PDE seminar, Korea Institue for Advance Study, Korea, September 2013
  • PDE seminar, Chung-Ang University, Korea, September 2013
  • HYKE seminar, Seoul National University, Korea, September 2013
  • PMI Lecture series (6 hrs), Pohang University of Science and Technology, Korea, August 2013
  • PDE seminar, University of Stuttgart, Germany, June 2013
  • Applied Mathematics and PDE Seminar, UC Santa Barbara, May 2013
  • AMS Central Sectional Meeting, Iowa State University, April 2013
  • KI-Net workshop on “Kinetic PDEs: Analysis and Computation”, Iowa State University, April 2013
  • Women in Mathematics Symposium, Twin WiMSoCal at UC San Diego, April 2013
  • PDE seminar, Brown University, March 2013
  • PDE seminar, University of Houston, March 2013
  • CAMS Colloquium, University of Southern California, October 2012
  • Modern Approaches in Fluid Dynamics, Kyoto University, Japan, August 2012
  • PMI Lecture series (6 hrs), Pohang Unviersity of Science and Technology, Korea, August 2012
  • PDE Seminar, Aix-Marseille University, France, July 2012
  • Applied Mathematics and PDE Seminar, UC Santa Barbara, April 2012
  • AMS Western Sectional Meeting, University of Hawaii, Honolulu, March 2012
  • PDE Seminar, UC Riverside, February 2012
  • Colloquium, California State University at Long Beach, January 2012
  • SIAM conferemce on Analysis of Partial Differential Equations, San Diego Marriot Mission Valley, San Diego, November 2011
  • ICERM Workshop on Boltzmann Models in Kinetic Theory, ICERM, Brown University, November 2011
  • AWM Anniversary Conference at Brown University, September 2011
  • Nonlinear PDEs Seminar, UC Irvine, May 2011
  • MSRI Workshop on Free Boundary Problems, Theory and Applications, MSRI, Berkeley, March 2011
  • Applied Math Seminar, California State University at Northridge, March 2011
  • Analysis Seminar, Courant Institute, NYU, March 2011
  • Mathematical Physics & Dynamical Systems Seminar, UC Riverside, Feburary 2011
  • Combined Applied Math & PDEs Seminar, UC Davis, January 2011
  • Southern California Analysis and Partial Differential Equations Conference, UCLA, November 2010
  • PDE Seminar, Georgia Institute of Technology, October 2010
  • Analysis Seminar, Princeton University, October 2010
  • PDE Seminar, UC Riverside, October 2010
  • AMS Western Sectional Meeting, UCLA, October 2010
  • Summer School on Mathematical Physics, Sogang University, Korea, July 2010
  • PDE Seminar, Kyung Hee University, Korea, July 2010
  • The 2010 Annual Kinetic FRG Meeting: Kinetic Description of Multiscale Phenomena, Brown University, May 2010
  • The 2010 Iowa PDE Conference, University of Iowa, May 2010
  • Stanley Friedlander Lecture, CUNY Bronx Community College, April 2010
  • Colloquium, Caltech, Applied & Computational Mathematics, April 2010
  • Colloquium, CUNY City College of New York, March 2010
  • Colloquium, UC Riverside, March 2010
  • Analysis Seminar, SUNY Stony Brook, March 2010
  • Analysis Seminar, UCLA, February 2010
  • Colloquium, University of Alabama at Birmingham, February 2010
  • Colloquium, Louisiana State University, February 2010
  • Colloquium, Arizona State University, February 2010
  • Colloquium, University of Minnesota, January 2010
  • Colloquium, University of Wisconsin, Madison, January 2010
  • Colloquium, University of Oklahoma, January 2010
  • PDE Seminar, Pohang Unviersity of Science and Technology, Korea, December 2009
  • PDE Seminar, Korea Advanced Institute of Science and Technology, Korea, December 2009
  • Analysis Seminar, UC San Diego, November 2009
  • AMS Western Sectional Meeting, UC Riverside, November 2009
  • Colloquium, University of Iowa, October 2009
  • Fluid Dynamics Seminar, New Jersey Institute of Technology, October 2009
  • Kinetic Description of Multiscale Phenomena: The Annual Kinetic FRG Meeting, University of Maryland, College Park, September 2009
  • PDE Seminar, Brown University, September 2009
  • PDE Seminar, UC Riverside, May 2009
  • Kinetic FRG Young Researchers Workshop, University of Maryland, College Park, March 2009
  • Differential Equations Seminar, University of Michigan, Ann Arbor, January 2009
  • Analysis Seminar, Courant Institute, NYU, October 2008
  • Courant Instructor Day, Courant Institute, NYU, September 2008
  • Contributed Talk, 12th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, University of Maryland, College Park, June 2008
  • Contributed Talk, CNA Summer School, Carnegie Mellon University, May 2008
  • PDE Seminar, Brown University, May 2008
  • Analysis Seminar, Princeton University, May 2008
  • PDE Seminar, Pohang Unviersity of Science and Technology, Korea, April 2008
  • PDE Seminar, Seoul National University, Korea, April 2008
  • Mathematical Sciences Colloquium, Stevens Institute of Technology, March 2008
  • SIAM minisymposium on kinetic theory, Hilton Phoenix East/Mesa Mesa, Arizona, December 2007
  • Short Talks by Postdoctoral Members, Institute for Advanced Study, October 2007
  • Analysis Seminar, Courant Institute, NYU, September 2007
  • Workshop on Kinetic Theory and Conservation Laws, Stanford University, June 2007
  • Analysis/PDE Seminar, MIT, May 2007
  • Field Analysis Working Group Seminar, Fields Institute, Toronto, February 2007
  • Transatlantic Seminar, Brown University, November 2006
  • Graduate Student Seminar, Brown University, November 2006
  • PDE Seminar, Brown University, September 2006
  • PDE Seminar, Trinity College, Dublin, June 2006
  • PDE Seminar, ENS Cachan, Paris, June 2006
  • Contributed Talk, CNA Summer School, Carnegie Mellon University, May 2006
  • PDE Seminar, Brown University, February 2006
  • Working Seminar, Brown University, October 2005

Professional Activities and Service

Summer school organized
      • Co-organizer of MSRI/SLMath Summer Graduate School on Mathematics of General Relativity and Fluids, Foundation for Research and Technology (ITE), Crete, July 21-August 2, 2024
      • Organizer of USC Summer school on Recent Advances in Mathematical Fluid Dynamics, 20-24 May 2019, University of Southern California, Los Angeles
      • Organizer of USC Summer school on Mathematical Fluids, 22-26 May 2017, University of Southern California, Los Angeles
Workshops and Conferences organized
      • Co-organizer of the IMS research program on Singularities in Fluids and General Relativity, IMS, National University of Singapore, 16 Dec 2024-10 Jan 2025
      • Co-organizer of the AMS special session on Nonlinear PDEs in Fluid Dynamics, in the spring 2023 AMS Western Sectional Meeting at California State University, Fresno, CA, May 2023
      • Co-organizer of the AMS special session on Nonlinear PDEs and fluid dynamics, in the spring 2021 AMS Western Sectional Meeting (Online), May 2021
      • Co-organizer of the MSRI workshop on Connections Workshop: Mathematical problems in fluid dynamics at MSRI (Online), January 2021
      • Co-organizer of Symposium for Women in Mathematics in Southern California, October 2013
      • Co-organizer of the AMS special session on Fluids and boundaries, in the fall 2013 AMS Western Sectional Meeting held at the University of California, Riverside
      • Co-organizer of the Analysis and applications of evolutionary PDEs workshop, 5-6 May 2012, held at the University of California, Riverside
      • Co-organizer of the AMS special session on Nonlinear partial differential equations of fluid and gas dynamics, in the spring 2012 AMS Western Sectional Meeting held at the University of Hawaii, Honolulu
      • Co-organizer of the Fourth Southern California Symposium on the Mathematics of Fluids, October 2011, held at the University of California, Riverside
Journal Referee Activities
      • Journal of Differential Equations, Communications on Pure and Applied Mathematics, Physica D: Nonlinear Phenomena, SIAM Journal on Mathematical Analysis, Journal of Mathematical Physics, Journal of Mathematical Analysis and Applications, Revista de la Union Matematica Argentina, Advance in Mathematics, Math. Research Letters, Zeitschrift fuer Angewandte Mathematik und Physik, Communications in Mathematical Sciences, Discrete and Continuous Dynamical Systems, Journal of the American Mathematical Society, Journal of Mathematical Fluid Mechanics, Journal of Functional Analysis
Reviewer for Mathematical Reviews

 

Teaching Experience

  • USC
    • Topics in Partial Differential Equations (Graduate), Spring 2024
    • Topology (Undergraduate), Fall 2023
    • Practicum in Teaching the Liberal Arts: Mathematics (Graduate), Fall 2023
    • Real Analysis, Part II (Graduate), Spring 2023
    • Partial Differential Equations, Part I (Graduate), Fall 2022
    • Practicum in Teaching the Liberal Arts: Mathematics (Graduate), Fall 2022
    • Topics in Partial Differential Equations (Graduate), Spring 2022
    • Partial Differential Equations, Part II (Graduate), Spring 2022
    • Introduction to Functional Analysis (Graduate), Fall 2021
    • Calculus, Part III, Fall 2020
    • Topics in Partial Differential Equations (Graduate), Fall 2020
    • Calculus, Part III (two sections), Spring 2019
    • Real Analysis, Part I (Graduate), Fall 2018
    • Topics in Partial Differential Equations (Graduate), Fall 2017
    • Partial Differential Equations, Part II (Graduate), Spring 2017
    • Partial Differential Equations, Part I (Graduate), Fall 2016
  • UC Riverside
    • Spring 2015 – Partial Differential Equations, Part II (Graduate)
    • Winter 2015 – Partial Differential Equations (Graduate)
    • Winter 2014 – Linear Algebra, Part II
    • Winter 2014 – Partial Differential Equations, Part I (Graduate)
    • Fall 2013 – Freshman Advising Seminar
    • Spring 2013 – Partial Differential Equations, Part II (Graduate)
    • Winter 2013 – First-Year Calculus, Part III
    • Fall 2012 – Numerical Analysis, Part I
    • Fall 2012 – Probability and Mathematical Statistics, Part I
    • Spring 2012 – First-Year Calculus, Part III (two sections)
    • Winter 2012 – Harmonic Analysis and Applications (Graduate)
    • Winter 2012 – Numerical Analysis, Part II
    • Spring 2011 – Probability and Mathematical Statistics, Part III
    • Winter 2011 – First-Year Calculus, Part II
    • Fall 2010 – Partial Differential Equations (Graduate)
  • New York University
    • Calculus I, Spring 2010
    • Linear Algebra, Fall 2009
    • Quantitative Reasoning: Games of Chance, Spring 2009
    • Calculus I, Fall 2008
  • Brown University
    • Advanced Placement Calculus, Fall 2006
    • Introductory Calculus, Part II, Spring 2005