Name: Seonghak Kim

Nationality: South Korea

Email: kimseo14@gmail.com

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Research Interests: Partial differential equations, Calculus of variations

Employment: Postdoctoral fellow, September, 2015

Renmin University of China, Beijing, PRC

Education:

1.       Ph.D. in Mathematics, 2015

Michigan State University, East Lansing, MI, USA

Dissertation Topic: On the existence of Lipschitz solutions to some forward-backward parabolic equations

Advisor: Dr. Baisheng Yan

2.       M.S. in Mathematics, 2009

Korea Advanced Institute of Science and Technology(KAIST), Daejeon, ROK

Thesis Title: Semimartingale Approach: Pricing Asian Options in a Levy Model

Advisor: Dr. U Jin Choi

(Mandatory Military Service as an Auxiliary Policeman, July 2005 - July 2007)

3.       B.S. in Mathematics, 2005

Sogang University, Seoul, Republic of Korea

Honors and Awards:

Dissertation Completion Fellowship, MSU, Spring 2014

Herbert T. Graham Scholarship, MSU, Summer 2012

Outstanding Teaching Assistant, KAIST, Fall 2007, Fall 2008

Brain Korea 21 Scholarship, KAIST, Spring 2005, Fall 2007 - Spring 2009

Academic Excellence Scholarship, Sogang University, Fall 2004

Publications and Preprints:

1.       On Lipschitz solutions for some forward-backward parabolic equations (with B. Yan), 2015, Submitted.

2.       On a gradient maximum principle for some quasilinear parabolic equations on convex domains, 2015, Submitted.

3.       Convex integration and infinitely many weak solutions to the Perona-Malik equation in all dimensions (with B. Yan), SIAM J. Math. Anal., 47 (4) (2015), 2770-2794.

4.       Radial weak solutions for the Perona-Malik equation as a differential inclusion (with B. Yan), J. Differential Equations, 258 (6) (2015), 1889-1932.

5.       On Lipschitz solutions for some forward-backward parabolic equations. II: The case against Fourier (withB. Yan), 2015, Preprint.

Working papers:

1.       Microstructure of one-dimensional non-convex elastodynamics (With Y. Koh)

2.       Strichartz estimate for non-linear magnetic schrodinger equations (With Y. Koh)

3.       Weak solutions for one-dimensional adhesive cell diffusion model (With L. Bao)

Talks:

1.       Convex integration and infinitely many weak solutions to the Perona-Malik equation in all dimensions - AMS sectional meeting, MSU, March 2015

2.       On a gradient maximum principle for a class of nonlinear parabolic equations - PDE Seminar, MSU, February 2015

3.       On infinitely many radially symmetric weak solutions for some forward-backward parabolic equations - PDE Seminar, MSU, October 2014

4.       Construction of density classes related to the Perona-Malik equation - PDE Seminar, MSU, September 2014

5.       Existence of partial differential inclusions by Baire`s category method - PDE Seminar, MSU, April 2012

Teaching Activities:

Instructor:

College Algebra at MSU, Summer 2014

Elementary Mathematics for Teachers II at MSU, Summer 2013

Calculus I at MSU, Fall 2012, Spring 2013, Fall 2013

Survey of Calculus I at MSU, Fall 2010, Fall 2011, Spring 2012

Calculus II at MSU, Summer 2010, Summer 2011, Fall 2014

Recitation TA:

Calculus II at MSU, Spring 2010, Spring 2011

College Algebra at MSU, Fall 2009

Calculus I at KAIST, Spring 2008

Introduction to Linear Algebra at KAIST, Fall 2007, Spring 2009

Calculus II at KAIST, Fall 2007