Urbana, IL 61801
email: jared@math.uiuc.edu,
phone:
fax:
RESEARCH INTERESTS
Nonlinear and Fiber Optics,
Solitons and Integrable Systems,
Randomness and Nonlinear Wave Propagation,
Perturbation and Asymptotic Methods,
Passive Scalar Transport.
AMS
Classifications
35,
78,
81.
EDUCATION
Ph. D.
Program in Applied and Computational Mathematics ,
Princeton University, 1994.
Advisor:
David W. McLaughlin.
B. S. (with Honors)
Applied Mathematics,
California Institute of Technology, 1989.
ACADEMIC AND PROFESSIONAL POSITIONS
1995--Present Gabor Sz\"ego Assistant Professor :
Department of Mathematics,
Stanford University, Stanford CA.
1995--Present
NSF Mathematical Sciences Postdoctoral Fellow.
Summer/Fall 1996 Consultant:
Mathematical
Sciences Research Center,
AT\&T Research
Murray Hill, NJ
1994--1995 Postdoctoral Fellow:
The Institute for Mathematics and its Applications
Minneapolis, MN
RECENT PRESENTATIONS AND PROFESSIONAL ACTIVITIES
1995-- Organizer:
Applied Mathematics Seminar,
Department of Mathematics,
Stanford University,
Stanford, CA
Referee for Physica D
Referee for Phys. Rev. Letters
Referee for Phys. Rev. E
Referee for SIAM Journal of Applied Mathematics
Referee for Math. Research Letters
Referee for J. Comp. Phys.
Apr 1998 Colloquium: University of California - Davis
Feb 1998 Colloquium: University of Maryland
Feb 1998 Colloquium: University of North Carolina - Chapel Hill
Jan. 1998 Colloquium: Tulane University
Jan. 1998 Colloquium: Texas A&M
Jan. 1998 Colloquium: UIUC
Dec. 1997 Applied Math Seminar - RPI
Dec. 1997 Applied Math Seminar - SUNY Buffalo
Feb. 1997 Colloquium: University of Utah
Feb. 1997 Applied Mathematics Seminar: University of Utah
Jan. 1997 Colloquium: University of Michigan
Jan. 1997 Differential Equations Seminar: University of Michigan
Oct. 1996 Nonlinear Optics Minisymposium: Sociedad
Matematica Mexicana National Meeting, San Luis Potosi, Mexico
Oct. 1996 Applied Math Seminar: IIMAS/Universidad Nacional
Autonomo Mexico, Mexico City, Mexico
Sept. 1996 Dynamical Systems Seminar:
Princeton University,
Princeton, NJ
Apr. 1995 Partial Differential Equations Seminar:
Brown University,
Providence, RI
Mar. 1996 Applied Mathematics Seminar:
University of California Davis,
Davis, CA
Sept. 1995 Applied Mathematics Seminar:
Stanford University,
Stanford, CA
July 1995 Research Seminar:
IAS/Park City Math Institute,
Park City, UT
May 1995 Applied Math Seminar:
University of Utah,
Salt Lake City, UT
Oct. 1994 Postdoc Seminar:
UMN/Institute for Math and its Applications
Minneapolis, MN
Oct. 1993 Applied Math Seminar:
NYU/Courant Institute,
New York, NY
July 1993 Minisymposium - "Perturbations of the NLS Equation":
SIAM Annual Meeting,
Philadelphia, PA
HONORS AND AWARDS
1994--1997 NSF Mathematical Sciences Postdoctoral Fellowship
1993-1994 Princeton University / Charlotte Elizabeth Procter
Graduate Fellowship
1989--1992 DOD--National Defense Science and
Engineering Graduate Fellowship
PUBLICATIONS
Nonlinear Wave Propagation in a Disordered Medium
J. Stat. Physics 92 5/6 (1998).
A Numerical Study of Solitary Wave Propagation in Disordered Medium
(submitted to Physica D)
Nonlinear Scattering and the Analyticity Properties
of Solitons
Journal of Nonlinear Science
Stability of Time-Harmonic Localized Solutions in a
One Dimensional Disordered Nonlinear Medium.
(with D.W. McLaughlin
and
M.J. Shelley)
J. Stat. Phys.
(In Press)
Asymptotic behavior of the nonlinear Schrodinger
equation with rapidly-varying, mean-zero dispersion
(with J. N. Kutz ),
Physica D (In Press)
Guiding-center pulse dynamics in nonreturn-to-zero
communications systems,
(with J. N. Kutz),
Journ. of the Opt. Soc. of America B 14 (1997)
Passive Scalar Intermittency and the Ground State
of Periodic Schrodinger Equations
(with R. M. McLaughlin)
Physics of Fluids 9 (1997) 181-190
Modulational stability of plane waves in nonreturn-to-zero
communications systems with dispersion management
(with J. N. Kutz),
Optics Letters 21 (1996) 937
The Semiclassical Limit of the Zakharov-Shabat Eigenvalue Problem
Physica D
97 (1996) 376-397
Higher Order Exponential Splittings for
Nonlinear Schrodinger Equations
(with D. Pathria),
Proceedings of the 7th IMACS International Conference on Computer Methods
for P.D.E.s
Semiclassical Behavior in the NLS Equation: Optical Shocks,
Focusing Instabilities}
(with D.W. McLaughlin),
Proceedings of the Lyon Conference on Zero Dispersion Limits
TEACHING EXPERIENCE
Instructor: Sophomore Dialogue on Mathematical Modelling
(Stanford University), Spring 1998
Instructor: Linear Algebra (Stanford University), Winter 1998
Instructor: Math 19 - Freshman Calculus,
Stanford University, Fall 1997
Instructor: Math 220c - Asymptotic Methods for PDEs,
Stanford University, Spring 1997
Instructor: Math 19 - Freshman Calculus,
Stanford University, Fall 1995
Assistant Instructor: Introduction to Dynamical Systems,
Princeton University, Spring 1993
Teaching Assistant: AMa 95abc - Introduction to Applied Mathematics,
California Institute of Technology,
1988-89
jared@math.uiuc.edu
