Bjorn SandstedeRoyce Family Professor of Teaching Excellence, Professor of Applied Mathematics
Bjorn Sandstede received his PhD in Mathematics from the University of Stuttgart in 1993. After holding postdoctoral positions at the Weierstrass Institute and at Brown University, he joined the faculty at the Ohio State University in 1997, before moving to the University of Surrey in 2004. In 2008, Sandstede became a faculty member at Brown University.
The theoretical part of my research focuses on the formation and the dynamics of patterns and nonlinear waves: recent projects include the nonlinear stability of coherent structures, and I usually employ a range of analytical techniques, supplemented by numerical computations. I also work on applications in biology, climate, data assimilation, and traffic flow.
Most of my past and current research projects are concerned with understanding the formation of patterns and the dynamics of nonlinear waves in spatially extended systems. Extended systems are typically modelled by partial differential equations on unbounded domains. Nonlinear waves correspond to interfaces, or defects, that are formed between co-existing patterns. These patterns, as well as the defects and interfaces formed between them, are found in many biological, chemical, and physical applications. Examples are the transmission of signals in optical fibers, the formation of hexagonal and stripe patterns in fluid convection, and the generation of spiral waves in catalytic chemical reactions. Motivated by experiments and numerical simulations, I aim to understand when and how patterns and defects are formed, how they behave under small perturbations, what other patterns or waves with a more complicated spatio-temporal behaviour can bifurcate from them, and how they interact with each other or with domain boundaries. To answer these questions, I use a mixture of analytical and geometric dynamical-systems techniques, and I have also developed numerical algorithms for the computation of waves and their bifurcations.
Recent grants include
Institute for Computational and Experimental Research in Mathematics (Co-PI: $15M, 2010-2015, $17.5M 2015-2020)
Research Training Group: Integrating Dynamics and Stochastics (PI: $2.1M, 2012-2018)
NSF "Nonlinear stability of patterns" (PI: $330k, 2014-2018)
NSF "Dynamics and stability of spatially extended patterns" (PI: $310k, 2017-2020)
Graduate School Faculty Award for Advising and Mentoring, Brown University, 2017
Philip J. Bray Award for Excellence in Teaching in the Physical Sciences, Brown University, 2016
Elsevier Jack K. Hale Award, 2015
SIAM Fellow, 2013
SIAM Outstanding Paper Prize (with A Scheel), 2007
Royal Society Wolfson Research Merit Award, The Royal Society, June 2004
JD Crawford Prize, SIAM Activity Group on Dynamical Systems, May 2001
Alfred P Sloan Research Fellow, Alfred P Sloan Foundation, September 2000 - September 2002
Feodor-Lynen Fellow, Alexander von Humboldt Foundation, September 1995 - December 1996
Fellowship, Graduate Collegium Modelling and discretization methods of continua and fluids, University of Stuttgart, October 1990 - April 1993
Fellowship, Studienstiftung des Deutschen Volkes, March 1989 - March 1990
Mowry, Kimberly Robin Chemers Neustein Professor of Biomedicine, Professor of Biology, Chair of Molecular Biology, Cell Biology and Biochemistry
Association for Women in Mathematics (AWM)
Society for Industrial and Applied Mathematics (SIAM)
I have taught a range of courses for undergraduate and graduate students and am very interested in involving undergraduates in my research. I have developed tutorial lectures and minicourses for graduate-student training workshops, and my group runs an active weekly reading group series.
APMA 0200 - Introduction to Modelling. Fall 2014.
APMA 0350 - Applied Ordinary Differential Equations. Fall 2015.
APMA 0360 - Methods of Applied Mathematics I, II. Spring 2016.
APMA 1360 - Topics in Chaotic Dynamics. Spring 2017.
APMA 1910 - Race and Gender in the Scientific Community. Spring 2017.