Montie S. Avery
I am an NSF Postdoctoral Fellow at Boston University working with Margaret Beck. My research is focused on front dynamics and diffusive stability of coherent structures. I am broadly interested in pattern formation and dynamics of partial differential equations. I received my PhD from the University of Minnesota in June 2022, where my advisor was Arnd Scheel.
I am co-organizing the Boston University Dynamical Systems Seminar together with Ryan Goh and Jonathan Jaquette.
CV (Updated November 2022)
Publications and Preprints
M. Avery. Front selection in reaction-diffusion systems via diffusive normal forms. Submitted. [preprint]
M. Avery, M. Holzer, and A. Scheel. Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity. Submitted. [preprint]
M. Avery and L. Garénaux. Spectral stability of the critical front in the extended Fisher-KPP equation. Z. Angew. Math. Phys., to appear. [preprint]
M. Avery and A. Scheel. Universal selection of pulled fronts. Comm. Amer. Math. Soc. 2, (2022).
N. Ankney, M. Avery, T. Khain, and A. Scheel. Pinning and depinning: from periodic to chaotic and random media. Chaos 29 (2019).
From Undergraduate Research
U. Abdulla, A. Prinkey, and M. Avery. Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption. II. Fast diffusion case. Preprint: arXiv:1903.08155.
Some Recent Presentations
Universal dynamics of invasion fronts. Lefschetz Center for Dynamical Systems Seminar, Brown University, November 2022.
Unfolding the transition from pushed to pulled front propagation. Minisymposium: Methods for spectral stability of coherent structures, SIAM Conference on Nonlinear Waves and Coherent Structures, Bremen, Germany, August 2022.
Zigzagging of stripe patterns in growing domains. Minisymposium: Traveling waves: selection principles and stability, SIAM Conference on Analysis of Partial Differential Equations, La Quinta, CA, December 2019.
Pinning and depinning in dynamically generated media. Minisymposium: Recent advances in lattice dynamical systems, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May 2019.
Growing Stripes, With and Without Wrinkles. Presented at:
Midwest Dynamical Systems Conference, University of Minnesota, Minneapolis, MN, Nov. 2018.
KUMUNU Conference on PDE, Dynamical Systems, and Applications, University of Missouri, Columbia, MO, Apr. 2019.
Summer Northwestern Analysis Program, Northwestern University, Evanston, IL, Aug. 2019.
I am not teaching this semester.
Teaching Assistant at University of Minnesota
Fall 2017 - Math 1271 (Calculus I)
Spring 2022 - Math 2574H (Honors Linear Algebra and Differential Equations)