Department of Mathematics
(University of Arizona)
617 N Santa Rita Ave
617 N Santa Rita Ave
PO Box 210089
Tucson, AZ 85721-0089
Email: pacarter (at) math (dot) arizona (dot) edu
I am a postdoc at the University of Arizona. In May 2016, I completed my PhD at Brown University under the advice of Professor Björn Sandstede
. My current research interests are in dynamical systems. Specifically I am interested in existence and stability of solutions to singularly perturbed PDEs and lattice differential equations.
July 10-14, 2017. The Future of Singular Perturbations, Lorentz Center, Leiden, NL.
July 24-28, 2017. Equadiff, Bratislava, Slovakia.
May 21-25, 2017. SIAM Conference on Applications of Dynamical Systems, Snowbird, UT. "Snaking and localized patterns with twisted invariant manifolds."
March 29 - April 1, 2017. IMACS, Athens, GA. "Single and double pulses in the FitzHugh-Nagumo system."
August 8-11, 2016. SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA. "A homoclinic banana in the FitzHugh-Nagumo system."
July 1-5, 2016. AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL. "Pulses with oscillatory tails and a homoclinic banana in the FitzHugh-Nagumo system"; "Multi-jam solutions and Lagrangian data assimilation in traffic-flow models."
June 1-3, 2016. Analysis of PDEs using Dynamical Systems Techniques, BU, Boston, MA. Poster presentation "Transonic canards and stellar wind."
April 23-24, 2016. KUMU Conference on PDE, Dynamical Systems, and Applications, MU, Columbia, MO.
December 7-10, 2015. SIAM Conference on Analysis of PDEs, Scottsdale, AZ. "Pulses with oscillatory tails in the FitzHugh-Nagumo system"
July 6-10, 2015. Equadiff, Lyon, France. "Pulses with oscillatory tails in FitzHugh-Nagumo."
May 17-21, 2015. SIAM Conference on Applications of Dynamical Systems, Snowbird, UT. "Pulses with oscillatory tails in FitzHugh-Nagumo."
March 20, 2015. Applied and computational math seminar, GMU, Fairfax, VA. "Pulses with oscillatory tails in FitzHugh-Nagumo."
March 14-15, 2015. AMS Central Spring Sectional Meeting, MSU, East Lansing, MI. "Pulses with oscillatory tails in FitzHugh-Nagumo."
September 24, 2014. Brown/BU PDE seminar, Brown University, Providence, RI. "Pulses with oscillatory tails in FitzHugh-Nagumo."
August 11-14, 2014. SIAM Conference on Nonlinear Waves and Coherent Structures, Cambridge UK. Poster presentation “Oscillatory pulses in FitzHugh-Nagumo”. (Winner of "best poster" prize)
April 22-25, 2014. SDG workshop on “Multiscale problems arising in the biosciences”, Blackheath, Australia. E-poster presentation “Oscillatory pulses in FitzHugh-Nagumo”.
February 10-14, 2014. IMA workshop on “Algebraic topology in dynamics, differential equations, and experimental data”, Minneapolis, MN.
December 9-13, 2013. DTU winter school on “Multi-scale analysis in dynamical systems”, Copenhagen, Denmark.