Young-Ran Lee (ÀÌ¿µ¶õ) Research Assistant Professor
(a
member of PDE LAB since 2007-09-01) |
Department of Mathematical Sciences, KAIST |
KAIST ¼ö¸®°úÇÐ°ú |
email: youngranlee@kaist.ac.kr |
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
¡°ÀÌÂ÷ÇÔ¼ö
±×·¡ÇÁÀÇ ±¸¼ºÁÖÀÇÀû Á¢±Ù¡±, ¼®»çÇÐÀ§ ³í¹®, ¼¿ï´ëÇÐ±³, ¼öÇÐ±³À°°ú, 1998³â 2¿ù 26ÀÏ,
(Áöµµ±³¼ö: ±è¿¬½Ä). |
¡°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 |
¡°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
¼¿ïÁö¿ª Áßµî ¼öÇÐ±³»ç ÀÓ¿ë°í½Ã ÇÕ°Ý, 1993 |
¼¿ï Áß¶ûÁßÇÐ±³ ¼öÇÐ±³»ç, 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 |