# Jared C. Bronski

Department of Mathematics,
University of Illinois Urbana-Champaign,
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