Regular patterns form in a wide array of natural and made-made systems, including biological morphogenesis, crystal growth, chemical reactions, and fluid systems. This REU is looking for two enthusiastic students to study how such patterns can be controlled and influenced by spatio-temporal heterogeneities through the mathematical lense of differential equations and dynamical systems theory using both analytical and numerical techniques. A particular focus will be on dynamically evolvoing instabilities.
Information about the REUThis six week, NSF funded, REU will run tentatively from June 10th - July 19th, 2024 and take place on the main campus at Boston University.Eligibility: An applicant must be a US citizens or permanent resident and must not have finished their undergraduate degree by summer 2024. Qualifications: The successful applicant should have taken at least one introductory course in differential equations. Prior research experience is not required. More advanced courses in differential equations, analysis, and numerical analysis as well as experience coding in MATLAB and Mathematica are helpful but not necessary. Students should be interested in learning and using numerical methods. Support: Participants will receive a stipend of $4800 and support for housing on the BU campus. Domestic travel funding may also be available. Deadline: Applications received by February 9th will be given full consideration. Application Students should apply using this google form (google account required) where they will be asked to provide the following: Students should also arrange for two letters of recommendation to be emailed to rgoh@bu.edu Previous REUs I've organized or been involved with2023Collaborators: , B. Hosek (Graduate Mentor)Participants: O. Garcia-Lopez, E. Shade Project: Invasion Fronts and patterns under the influence of a Time-Dependent Parameter Preprint in preparation, work to be presented at SIAM NWCS 2024. 2021Participants: S. Dunn, B. KrewsonProject: Transverse modulational dynamics of quenched patterns Preprint submitted; ( Preprint ) Work also presented at 2022 KUMUNU-ISU conference, BU UROP symposium, and various seminars. 2015Collaborators: A. ScheelParticipants: R. Beekie, D. Matthias, J. Nunley. Project: Universal wavenumber selection laws in apical growth Phys. Rev. E 94 (2016), 022219. (Preprint ) 2012Collaborators: M. Holzer, A. ScheelParticipants: K. Bose, T. Cox, S. Silvestri, P. Varin. Project: Invasion fronts and pattern formation in a model of chemotaxis in one and two dimensions. SIURO 6 (2013), 228-24 |