Jasonbramburger Ph.D., M.Sc., B.A

JasonBramburger Ph.D., M.Sc., B.A. (Honours)

Personal and Contact Information Lewis Hall Email: [email protected] University of Washington ResearchGate: Jason Bramburger Seattle, WA, USA Website: http://faculty.washington.edu/jbrambur

Research Interests Dynamical Systems Bifurcation Theory Pattern Formation Wave Propagation Spatial Dynamics Data-Driven Discovery

Education

Ph.D. Mathematics, July 2017 University of Ottawa, Ottawa, ON, Canada Thesis Title: On the existence and stability of rotating wave solutions to lattice dynamical systems Advisors: Benoit Dionne and Victor LeBlanc M.Sc. Mathematics, July 2013 University of Ottawa, Ottawa, ON, Canada Thesis Title: Steady-state/Hopf interactions in the Van der Pol oscillator with delayed feedback Advisors: Benoit Dionne and Victor LeBlanc B.A. Honours, May 2011 Nipissing University, North Bay, ON, Canada Specialization in Pure Mathematics with minor in Computer Science Graduated with distinction Employment

Acting Instructor Department of Applied Mathematics, University of Washington Seattle, WA, USA September 2020 - PIMS Postdoctoral Fellow Department of Mathematics and Statistics, University of Victoria Victoria, BC, Canada September 2019 - August 2020 NSERC Postdoctoral Fellow Division of Applied Mathematics, Brown University Providence, RI, USA September 2017 - August 2019 Instructor Academic Access Centre, Algonquin College Ottawa, ON, Canada May 2017 - August 2017 Teaching Assistant Department of Mathematics and Statistics, University of Ottawa Ottawa, ON, Canada September 2011 - August 2017 Lecturer Department of Mathematics and Statistics, University of Ottawa Ottawa, ON, Canada September 2016 - December 2016 Statistical Analysis Academic Operations and Planning Department, Algonquin College Ottawa, ON, Canada May 2011 - August 2011, May 2012 - August 2012 Teaching Assistant Department of Mathematics and Computer Science, Nipissing University North Bay, ON, Canada September 2010 - May 2011 Math Drop-In Centre Attendant Department of Mathematics and Computer Science, Nipissing University North Bay, ON, Canada September 2008 - May 2011 Publications

20. M. Tian, J. Bramburger, and B. Sandstede. Snaking bifurcations of localized patterns on ring lattices, IMA Journal of Applied Mathematics, at press. 19. J. Bramburger and C. Henderson. The speed of traveling waves in a FKPP–Burgers system, Archive for Rational Mechanics and Analysis 241, (2021) 643-681. 18. J. Bramburger. Isolas of multi-pulse solutions to lattice dynamical systems, Proceedings of the Royal Society of Edinburgh A 151, (2021) 916-952. 17. J. Bramburger, J.N. Kutz, and S. Brunton. Data-driven stabilization of periodic orbits, IEEE Access 9, (2021) 43504-43521. 16. J. Bramburger. Exact minimum speed of traveling waves in a Keller–Segel model, Applied Math- ematics Letters 111, (2021) 106594. 15. J. Bramburger and D. Goluskin. Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization, Proceedings of the Royal Society A 476, (2020) 20200450. 14. J. Bramburger, D. Dylewsky, and J.N. Kutz. Sparse identification of slow timescale dynamics, Physical Review E 102, (2020) 022204. 13. J. Bramburger and B. Sandstede. Localized patterns in planar bistable weakly coupled lattice systems, Nonlinearity 33, (2020) 3500-3525. 12. J. Bramburger and B. Sandstede. Spatially localized structures in lattice dynamical systems, Jour- nal of Nonlinear Science 30, (2020) 603-644. 11. J. Bramburger and J.N. Kutz. Poincaré maps for multiscale physics discovery and nonlinear Flo- quet theory, Physica D 408, (2020) 132479. 10. J. Bramburger, C. Cuevas-Maraver, and P.G. Kevrekidis. Vortex pairs in the discrete nonlinear Schrödinger equation, Nonlinearity 33, (2020) 2159-2180. 9. J. Bramburger. Ultracontractive properties for directed graph semigroups with applications to coupled oscillators, Canadian Mathematical Bulletin 63, (2020) 13-30. 8. J. Bramburger. Stable periodic solutions to lambda-omega lattice dynamical systems, Journal of Differential Equations 268, (2020) 3201-3254. 7. S. Alexander, J. Bramburger and E. McDonough. Dark disk substructure and superfluid dark mat- ter, Physics Letters B 797, (2019) 134871. 6. J. Bramburger, D. Altschuler, C. Avery, T. Sangsawang, M. Beck, P. Carter, and B. Sandstede. Localized radial roll patterns in higher space dimensions, SIAM Journal on Applied Dynamical Systems 18, (2019) 1402-1453. 5. J. Bramburger and F. Lutscher. Analysis of integrodifference equations with a separable dispersal kernel, Acta Applicandae Mathematicae 161, (2019) 127-151. 4. J. Bramburger. Rotating wave solutions to lattice dynamical systems II: Persistence results, Journal of Dynamics and Differential Equations 31, (2019) 499-536. 3. J. Bramburger. Rotating wave solutions to lattice dynamical systems I: The anti-continuum limit, Journal of Dynamics and Differential Equations 31, (2019) 469-498. 2. J. Bramburger. Stability of infinite systems of coupled oscillators via random walks on weighted graphs, Transactions of the American Mathematical Society 372, (2019) 1159-1192. 1. J. Bramburger, B. Dionne and V. G. LeBlanc. Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback, Nonlinear Dynamics 78, (2014) 2959-2973. Submitted Papers1 1. J. Bramburger, S. Brunton, and J.N. Kutz. Deep learning of conjugate mappings. Scholarships, Awards, and Fellowships

Fellow of the Institute of Advanced Studies, University of Surrey September 2021 - August 2022 PIMS Postdoctoral Fellowship, Pacific Institute for the Mathematical Sciences September 2019 - August 2020 NSERC Postdoctoral Fellowship, Natural Sciences and Engineering Research Council September 2017 - August 2019 Dean's Scholarship, University of Ottawa November 2013, November 2017 Ontario Graduate Scholarship, Ontario Ministry of Training, Colleges and Universities September 2013 - August 2017 Excellence Scholarship, University of Ottawa September 2013 - August 2017 Teaching Assistant of the Year, Faculty of Science, University of Ottawa November 2016 André Dabrowski Scholarship, Department of Mathematics and Statistics, University of Ottawa June 2016 Master's Entrance Scholarship, Faculty of Postdoctoral and Graduate Studies, University of Ottawa September 2011 - August 2013 Carl Sanders Scholarship, Nipissing University September 2007 - May 2011 Travel Grants

1Preprints can be found at https://faculty.washington.edu/jbrambur/Publications.html LMS Scheme 2 Grant, London Mathematical Society June 2021 AMS-Simons Travel Grant, American Mathematical Society and the Simons Foundation July 2018 SIAM Early Career Travel Award, Society for Industrial and Applied Mathematics June 2018, May 2021 FGPS Travel Grant, Faculty of Postdoctoral and Graduate Studies, University of Ottawa June 2016, December 2016, July 2017 Conference Talks

SIAM Conference on Applications of Dynamical Systems, online, May 25, 2021 Dynamics Days Digital 2020, online, August 25, 2020 2019 SIAM PNW Conference, Seattle, WA, USA, October 20, 2019 SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, USA, May 22, 2019 The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phe- nomena, Athens, GA, USA, April 18, 2019 Dynamics Days 2019, Evanston, IL, USA, January 5, 2019 Boston University/Keio University Workshop, Boston, MA, USA, June 28, 2018 SIAM Conference on Nonlinear Waves and Coherent Structures, Orange, CA, USA, June 11, 2018 Dynamics Days 2018, Denver, CO, USA, January 6, 2018 The CAIMS Annual Meeting, Halifax, NS, Canada, July 17, 2017 CMS Winter Meeting, Niagara Falls, ON, Canada, December 4, 2016 The CAIMS Annual Meeting, Edmonton, AB, Canada, June 30, 2016 Colloque Panquébécois des Étudiants de l'ISM, Montreal, QC, Canada, May 14, 2016 The 2015 AMMCS-CAIMS Congress, Waterloo, ON, Canada, June 11, 2015 CMS Winter Meeting, Ottawa, ON, Canada, December 9, 2013 Nipissing University's Fourth Annual Undergraduate Research Conference, North Bay, ON, Canada, April 2, 2011 Seminar Talks

PDE Seminar, University of Houston, November 20, 2020 Applied PDE Seminar, University of Washington– Seattle, March 12, 2020 Applied Mathematics Seminar, University of Victoria, January 29, 2020 Applied Mathematics Seminar, University of Washington– Seattle, June 5, 2019 Physical Mathematics Seminar, Massachusetts Institute of Technology, December 11, 2018 Dynamical Systems Seminar, University of Minnesota–Twin Cities, October 23, 2018 Computational and Applied Mathematics Seminar, University of Kansas, September 26, 2018 MINDS Seminar, Vrije Universiteit Amsterdam, March 13, 2018 Applied Mathematics and Computation Seminar, University of Massachusetts Amherst, February 20, 2018 Dynamical Systems Seminar, Boston University, February 12, 2018 LCDS Seminar, Brown University, September 25, 2017 Applied Mathematics Seminar, University of Ottawa, April 21, 2017 Poster Presentations

KUMUNU Conference on PDE, Dynamical Systems, and Applications, Columbia, MO, April 27, 2019 Dynamics Days 2019, Evanston, IL, January 5, 2019 KUMUNU 2018 PDE, Dynamical Systems, and Applications Conference, Lawrence, KS, April 21, 2018 Advising

Undergraduate Jiajun Bao (2021, University of Washington) Amelia J. Nathan (2021, University of Washington) Carter Peyton (2021, University of Washington) Xuchen Wu (2020-2021, University of Victoria) Organizing Committees

Conference Organization The Ninth Annual Ottawa Mathematics Conference, Ottawa, ON, Canada, June 17-19, 2016 The Eighth Annual Ottawa Mathematics Conference, Ottawa, ON, Canada, June 19-20, 2015 Minisymposia Organization Leveraging Machine Learning for Dynamics and Control, Minisymposium at SIAM Conference on Applications of Dynamical Systems, online, May 23-27, 2021 Machine Learning Methods for Dynamical Systems, Minisymposium at 2019 SIAM PNW Con- ference, Seattle, WA, USA, October 18-20, 2019 Recent Advances in Lattice Dynamical Systems, Minisymposium at SIAM Conference on Appli- cations of Dynamical Systems, Snowbird, UT, USA, May 19-23, 2019 Spatial Dynamics: Local and Global Results, Minisymposium at SIAM Conference on Nonlinear Waves and Coherent Structures, Orange, CA, USA, June 11-14, 2018 Seminar Organization Data-Driven Methods in Science and Engineering, online, September 2020 - May 2021 LCDS Seminar, Division of Applied Mathematics, Brown University, Providence, RI, USA, Septem- ber 2018 - May 2019 Brown-BU-UMass Dynamics and PDE Seminar, Boston, MA, USA, May 3, 2019 Brown-BU-UMass Dynamics and PDE Seminar, Amherst, MA, USA, November 16, 2018 Brown-BU Dynamics and PDE Seminar, Providence, RI, USA, April 19, 2018 Brown-BU Dynamics and PDE Seminar, Boston, MA, USA, November 30, 2017 Professional Services Board Member Nipissing University Alumni Advisory Board North Bay, ON, Canada June 2021 - present Organizer Dynamics and Bifurcations Discussion Group, Brown University Providence, RI, USA December 2017 - August 2019 Postdoctoral Advisor Brown University SIAM Student Chapter, Brown University Providence, RI, USA September 2017 - August 2019 Graduate Student Representative Faculty of Science, University of Ottawa Ottawa, ON, Canada September 2014 - August 2017 Mathematics and Science Tutor Pathways Program, Pinecrest-Queensway Community Health Centre Ottawa, ON, Canada January 2012 - June 2017 President Mathematics Graduate Student Association, University of Ottawa Ottawa, ON, Canada September 2014 - August 2016 Journals Refereed •Applied Mathematics and Computation •Chaos •Discrete and Continuous Dynamical Systems–B •IMA Journal on Applied Mathematics •Journal of Differential Equations •Journal of Mathematical Analysis and Applications •Journal of Nonlinear Science •Mathematics •Nonlinear Dynamics •Physica D •SIAM Journal on Applied Dynamical Systems •SIAM Journal on Mathematical Analysis •SIAM Journal on Scientific Computing •Studies in Applied Mathematics •Symmetry