Description.
We are organizing the 9th Complex Systems REU (CSREU) this coming Summer 2022. This REU is a six week program designed to engage students in research problems in dynamical systems and pattern formation, motivated by applications to the physical sciences. We are seeking four students to work on two distinct projects in close collaboration with faculty mentor Arnd Scheel as well as graduate student mentors Montie Avery, Olivia Cannon, and Sally Jankovic. Students will share an office in the School of Mathematics and have daily access to both faculty and graduate student mentors.
Prerequisites. Potentially relevant fields of math include dynamical systems, numerical analysis and scientific computing, bifurcation theory, PDE theory, and harmonic analysis. The focus of the projects will be shaped by student interest, and prior background in these fields is not required. Some coursework in differential equations will be helpful. No prior research experience is required. Pattern formation and complex systems. Pattern formation is the study of general mechanisms leading to the appearance of simple or complex spatial patterns. It is motivated by the existence of similar patterns in seemingly dissimilar systems (e.g. animal coat markings, vegetation patterns, phase separation problems, convection patterns). 
Funding.
Participants will receive a stipend of $3,000 as well as up to $2,000 for travel and living expenses. Students will need to be US citizens or permanent residents in order to receive funding. Women and underrepresented minorities are especially encouraged to apply.
How to apply. Please apply through ➛ REU 2022 Mathprograms Application  see also the ➛ Flyer Other opportunities. I regularly offer research opportunities for undergraduate students. Please contact me if you are interested in doing research in the general area of dynamical systems, pattern formation, and nonlinear waves. Some students in past programs have been supported from other sources such as Undergraduate Research Scholarships at the University of Minnesota. If you are interested in undergraduate research outside the scope of this NSFsponsored program or do not qualify as an applicant, please contact me via Sorry, but a Javascriptenabled browser is required to email me. and be prepared to send

What to expect.
The setup will be similar to previous REU programsthat took place in the summers 2009, 2011, 2012, 2014, 2015, 2017, 2018, and 2020; see the advertisement for past experiences 2009, 2011, 2012, 2014, 2017, 2018, and 2020.
What do students do after the REU? Previous students have subsequently gone on to graduate school at Brown, CalTech, Columbia, Cornell (2), Harvard, Maryland, McGill, Moscow, NYU (2), Oxford, Princeton, Purdue U, U Chicago, UC Boulder, UC Irvine, UIUC, UMass, U Mich, Northwestern, U Minnesota (2); three received NSF Graduate Fellowships. What happens in projects  two examples:
Growing Stripes, With and Without Wrinkles
Pinning and depinning: from periodic to chaotic and random media 
Publications. Results of previous programs lead to the following journal publications.

Pictures from the REU participants 2012,2015,2017,2018, 2020