Presentation at AIMS Willy Hereman Department of Applied Mathematics and Statistics Colorado School of Mines Golden, CO 80401 USA Tuesday, April 22, 2014,

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Presentation transcript:

Presentation at AIMS Willy Hereman Department of Applied Mathematics and Statistics Colorado School of Mines Golden, CO USA Tuesday, April 22, 2014, 16:10

University of Ghent, Belgium Postdoctoral Researcher, Institute for Theoretical Mechanics PhD Applied Mathematics 1982 Thesis: Acousto-optics Advisor (mentor): Robert Mertens Teaching Diploma 1976 MS Applied Mathematics 1976 Thesis: Dynamical systems BS Mathematics 1974 Taught courses in Theoretical Mechanics

The University of Iowa Visiting Scholar with NATO Research Fellowships Department of Electrical and Computer Engineering 1983–84 and

At The University of Iowa Worked in acousto-optics laboratory of Adrian Korpel (great mentor) Research in linear and nonlinear waves Developed a direct method to solve nonlinear PDEs (soliton theory)

University of Wisconsin-Madison Van Vleck Visiting Assistant Professor Department of Mathematics

University of Wisconsin-Madison Visiting Scholar Center for the Mathematical Sciences Modeling Information Processing And Control group of David Russell (great mentor)

At UW-Madison Started using symbolic software (Macsyma) Wrote code for integrability testing of nonlinear differential equations (Painlevé test) Research on nonlinear wave phenomena Lie symmetries (CRM, Montréal) Taught linear and nonlinear waves, calculus of variations and control theory Taught differential equations and linear algebra

Colorado School of Mines

Head Appl. Maths & Stats August present Interim Head of AMS August 2011-August 2012 Professor 1998-present Tenured 1995 Associate Professor

At the Colorado School of Mines Taught 22 different courses (I enjoy teaching!) Specialty courses: wavelets, nonlinear waves, modeling with symbolic software (Mathematica) 3 PhD students (academics in Irbid, Jordan, Ankara, Turkey, and Chadron, Nebraska) 8 Master students Currently: 1 PhD 42 Research Experiences for Undergraduate (REU) students (20% female)

At the Colorado School of Mines Scattering of waves from rough surfaces Theory and applications of wavelets Integrability and exact solutions of nonlinear PDEs Symmetries and conservation laws Best known for my Mathematica codes for nonlinear differential and lattices equations

Course at AIMS Feb-March 2008 Nonlinear Dynamical Systems with Applications to Mathematical Biology Willy Hereman and Kesh Govinder (Univ. KwaZulu-Natal, Durban)

Research Focus Diederik Korteweg ( ) Gustav de Vries ( )

Research Focus Interacting solitons

Research Focus Peter Lax (1926-) Complete integrability Continuous to discrete equations 3D conservation laws Exact solutions to nonlinear PDEs Symmetries & recursion operators Homotopy operators Lax pairs Development of symbolic software

Papers, presentations, software, ….