Associate Professor
Office Hours: Milas Hall 28+1, T 9-10, W 11-12, Th 3-4, F 9-10
email: firstname.lastname-at-olin.edu
Teaching:
Research Interests:
Infinite dimensional dynamical systems
Fronts and pulses in spatially discrete media
Preprints and Publications:
A. Hoffman and M. HolzerInvasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs (arXiv) A. Hoffman and M. Holzer. Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdos-Reyni graphs. DCDS-B, in pressA. Hoffman and J. D. Wright. Nanopteron solutions of diatomic Fermi-PastaUlam-Tsingou lattices with small mass-ratio. Physica D (2017) 358 33-59 (arXiv)A. Hoffman, H.J. Hupkes and E. Van Vleck. Entire solutions of bistable lattice differential equations with obstacles. Mem. AMS (2017) (250) 1188 (arXiv)Y. Shen, P. Kevrekidis, S. Sen and A. Hoffman. Characterizing traveling wave collisions in granular chains starting from integrable limits: The case of the Korteweg-de Vries Equation and the Toda lattice. PRE 90 (2014) 022095A. Hoffman, H.J. Hupkes and E. Van Vleck. Multidimensional Stability of Waves Travelling Through Rectangular Lattices in Rational Directions. Trans. AMS. (2015) 367 (12) 8757-8808 (arXiv) A. Hoffman and C.E. Wayne. Orbital Stability of Localized Structures via Backlund TransformationDIE 26 (2013) 303-320 (arXiv) (ProjEuclid) G.N. Benes, A. Hoffman and C.E. Wayne. Asymptotic stability of the Toda m-soliton. JMAA 386 (2012) 345-360 (arXiv) (DOI)A. Hoffman and B. Kennedy. Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations. DCDS-A 30 (2011) 137-167 (arXiv)(DOI)A. Hoffman and J.D. Wright. Exit manifolds for lattice differential equations. Proc. Roy. Soc. Edinburg. 72 (2011) 72-92 (arXiv) (DOI)A. Hoffman and C.E. Wayne. A simple proof of the stability of solitary waves in the Fermi-Pasta-Ulam model near the KdV limit. Fields Institute Communications 64 (2013) 185--192 (arXiv) (DOI)A. Hoffman and J. Mallet-Paret. Universality of crystallographic pinning. JDDE 22 (2010) 79-119 (arXiv) (DOI)A. Hoffman and C.E. Wayne. Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model. JDDE 21 (2009) 343-351 (DOI)A. Hoffman and C. E. Wayne. Counterpropagating two-soliton solutions in the FPU lattice Nonlinearity 21 (2008) 2911-2947 (arXiv) (DOI)Short CV:
Associate Professor, Olin College 2016-2019
Assistant Professor, Olin College 2010-2016
NSF Postdoc, Boston University 2006-2010
MSRI Postdoc, Spring 2007
PhD Brown University 2006
Assistant Staff, Lincoln Laboratory 1998-2000
BA Swarthmore College, 1998