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