Math @ Duke

Chad M. Topaz, VIGRE postdoc
Please note: Chad has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
 Office Hours:
 M. 2 p.m.  4 p.m., Tu. 11 a.m.  1 p.m.
 Education:
 Ph.D. in applied mathematics, Northwestern University, 2002
M.S. in applied mathematics, Northwestern University, 1997
A.B. in applied mathematics, Harvard University, 1996
 Research Interests: Applied nonlinear dynamics, pattern formation
My research interest is the study of nonlinear dynamics, with
a special emphasis on systems in which spatial patterns may
form. Spontaneous pattern formation is a widespread natural
phenomenon which has been observed in fluid convection,
nonlinear optics, chemical reactiondiffusion experiments,
colonies of swimming microorganisms, visual hallucinations
and a host of other physical, chemical and biological
systems. Many pattern forming systems can be described by
nonlinear partial differential equations. Theoretical studies of
these equations are valuable because they help us
understand pattern formation in real systems, and because
they may yield insight into other dynamical behaviors. I use
tools from elementary group theory, dynamical systems
theory, asymptotic analysis, and scientific computing to study
dynamics these systems. I am currently focusing my efforts
on two problems, namely vertically vibrated fluid layers
(Faraday waves) and swarming biological populations. A
detailed research statement is available at http://
www.math.duke.edu/~chad/research.html, or by request.
 Curriculum Vitae
 Recent Publications
 B. Cook, D. Marthaler, C.M. Topaz, A. Bertozzi, and M. Kemp, Fractional bandwidth reacquisition algorithms for VSWMCM,
Proceedings of the ONR MultiRobot System Workshop
(Submitted, 0)
 C.M. Topaz, M. Silber, Resonances and superlattice pattern selection in twofrequnecy forced Faraday Waves,
Physica D 172 (2002) 129
 C.M. Topaz, Pattern formation in twofrequency forced Faraday waves,
Ph.D. dissertation (2002)
 M. Silber, C.M. Topaz and A.C. Skeldon, Twofrequency forced Faraday waves: Weakly damped modes and pattern selection,
Physica D 143 (2000) 205225
Please go to http://www.math.duke.edu/~chad to view my main web site. 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

