Young-Ran Lee (이영란)

Research Assistant Professor

(a member of PDE LAB since 2007-09-01)

Department of Mathematical Sciences, KAIST
Guseong-dong 373-1, Yuseong-gu
Daejeon, 305-701, South Korea

KAIST 수리과학과
대전시유성구 구성동 373-1번지
(산업경영학동 E2-1, 2207호실)

email: youngranlee@kaist.ac.kr
Phone 82-42-869-2749, Fax 82-42-869-5710

Education

Period	Degree	Department	Institute
1999.06~2004.08	Ph.D.	Mathematics	University of Alabama at Birmingham
1998.03~1999.06	Master	Mathematics	University of Alabama at Birmingham
1993.03~1998.02	Master	Mathematics Education	Seoul National University
1989.03~1993.02	Bachelor	Mathematics Education	Seoul National University

Academic Positions

Period	Title	Institute
2007.09~	Research assistant professor	Korea Advanced Institute of Science and Technology
2004.08~2007.08	Research assistant professor	University of Illinois at Urbana-Champaign

Visiting Positions

Period	Institute
2007.01~2007.02	University of Birmingham, United Kingdom
2008.01~2008.02	University of Alabama at Birmingham and University of Illinois at Urbana-Champaign, USA

Research Interests

Partial Differential Equations, Mathematical Physics, Spectral Theory

Thesis

“이차함수 그래프의 구성주의적 접근”, 석사학위 논문, 서울대학교, 수학교육과, 1998년 2월 26일, (지도교수: 김연식).

“Spectral properties of polyharmonic operators with limit-periodic potential in dimension two", Dissertation of Ph.D. University of Alabama at Birmingham, Department of Mathematics, August 14, 2004, (Advisor: Yulia Karpeshina).

Publications and Preprints

“On a Polyharmonic Operator with limit-periodic potential in dimension two" (with Yulia Karpeshina), Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 113-120.

“Generalized 3G theorem and application to relativistic stable process on non-smooth open sets" (with Panki Kim), Journal of functional analysis, 246(1) (2007), 113-134.

“Spectral properties of polyharmonic operators with limit-periodic potential in dimension two" (with Yulia Karpeshina), Journal d'Analyse Mathematique, 102 (2007), 225-310.

“Exponential decay Of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS" (with Dirk Hundertmark), Bulletin of London Mathematical Society 39(5) (2007), 709-720.

“On Schrödinger Operator with Limit-Periodic Potential in Dimension Two” (with Yulia Karpeshina), to appear in OTAMP proceedings: "Operator Theory and Applications", Birkhauser.

“Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation" (with Dirk Hundertmark), submitted on December 22, 2007 and accepted on April 8, 2008 by Communications in Mathematical Physics, preprint.

“Absolutely continuous spectrum of polyharmonic operators with a limit-periodic potential" (with Yulia Karpeshina), submitted on November 28, 2007, revised on May 22, 2008 and accepted on May 28, 2008 by Communications in PDE, preprint.

“Structure of fundamental solutions of a conservation law without convexity” (with Yong-Jung Kim), submitted on March 15, 2008, preprint.

“Super-exponential decay of diffraction managed solitons” (with Dirk Hundertmark), submitted on April 24, 2008, preprint.

“Spectral properties of a limit-periodic Schrödinger operator in dimension two” (with Yulia Karpeshina), in preparation.

“On the existence of dispersion managed solitons" (with Dirk Hundertmark), in preparation.

Teaching Experiences

서울지역 중등 수학교사 임용고시 합격, 1993

서울 중랑중학교 수학교사, 1993~1996

University of Alabama at Birmingham, MAPLE Lab TA, 1998~1999

University of Alabama at Birmingham, Lab Recitation TA, 1999~2000

University of Alabama at Birmingham, CAPA (Computer-Assisted Personalized Approach) TA, 2000

University of Alabama at Birmingham, Instructor, Intermediate Algebra, Elementary Algebra, Precalculus, 2001~2004

University of Illinois at Urbana-Champaign, Instructor, Introduction to ODE, ODE II, PDE, 2004~2006