Michael J. Jenkinson
Phone: +1 704 307 7063
Email: jenkim2@rpi.edu
Website: http://homepages.rpi.edu/∼jenkim2/
AE 1st Fl
Rensselaer Polytechnic Institute
110 8th Street
Troy, NY 12180
Education
Columbia University, Fu Foundation School of Engineering and Applied Science, New York, NY
PhD in Applied Mathematics, GPA: 4.066, 2015
Thesis advisor: Michael I. Weinstein
MPhil in Applied Mathematics, September 2013
MS in Applied Mathematics, May 2011
University of North Carolina, College of Arts and Sciences, Chapel Hill, NC
BS in Mathematics, GPA: 3.802, May 2010
With honors and highest distinction
Research Experience
RTG Postdoctoral Research Fellow, Rensselaer Polytechnic Institute, Troy, NY
Study of computational electrodynamics in dispersive and dissipative media.
• Optical response of metals: surface plasmon polaritons, effective medium analysis of metamaterials.
• Finite-difference time-domain computation of electromagnetic waves in materials with frequency dependent response to
external fields.
Applied Mathematics PhD Program, Columbia University, New York, NY
Study of nonlinear partial differential equations with applications in crystal lattice dynamics, condensed matter physics, nonlinear
optics, bio-molecular dynamics, and numerical approximation.
• Functional analysis: Hilbert space methods, spectral theory of linear operators, calculus of variations.
• Nonlinear dynamical systems: localized waves and coherent structures in discrete and periodic media, Hamiltonian systems,
bifurcation theory.
• Numerical computation: numerical solution of linear and nonlinear partial differential equations and optimization problems.
Applied Mathematics Fluid Dynamics Lab, University of North Carolina, Chapel Hill, NC
Trachea Project: modeling of interaction between mucus and air using coaxial flow of two fluids of different viscosity.
• Experimental setup and data collection.
• Data analysis using video and numerical software.
• Flow modeling using the Navier-Stokes equations.
• Summary in honors thesis, Co-annular Pipe Flow of Liquid and Gas in an Emulation of the Trachea, advised by Dr. Roberto
Camassa.
Publications
M. Jenkinson and M. I. Weinstein, Vertex-, bond- and cell-centered bound states of the discrete nonlinear Schrödinger equation
with non-nearest-neighbor interactions, submitted, (2016).
M. Jenkinson and M.I. Weinstein, Vertex-, bond- and cell-centered bound States of the discrete nonlinear Schrödinger equation in
dimensions 1, 2 and 3, Nonlinearity, Volume 29, Number 1 (2015).
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Selected Presentations
On-Site and Off-Site Bound States of the Discrete Nonlinear Schroedinger Equation and the Peierls-Nabarro Barrier
Invited Presentation
Applied Analysis and Computation Seminar, Department of Mathematics and Statistics, University of Massachusetts, February
2016
Collaborators: Michael I. Weinstein
On-Site and Off-Site Solitary Waves of Discrete Nonlinear Schrödinger Type Equations and the Peierls-Nabarro Barrier
Minisymposium Presentation
SIAM Conference on Analysis of Partial Differential Equations, December 2015
Collaborators: Michael I. Weinstein
On-site and Off-site Solitary Waves of the Discrete Nonlinear Schrödinger Equation in Multiple Dimensions
Minisymposium Presentation
The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory,
University of Georgia, April 2015
Collaborators: Michael I. Weinstein
On-site and Off-site Solitary Waves of the Discrete Nonlinear Schrödinger Equation in Multiple Dimensions
Invited Presentation
Courant Institute of Mathematical Sciences Analysis Seminar, October 2014
Collaborators: Michael I. Weinstein
On-site and Off-site Solitary Waves of the Discrete Nonlinear Schrödinger Equation in Multiple Dimensions
Minisymposium Presentation
Stability of Solitary Waves Workshop, Pisa, May 2013
Collaborators: Michael I. Weinstein
On-site and Off-site Solitary Waves of the Discrete Nonlinear Schrödinger Equation
Minisymposium Presentation
SIAM Conference on Analysis of Partial Differential Equations, Orlando, December 2013
Collaborators: Michael I. Weinstein
Air-Mucus Wave Dynamics in an Emulation of Trachea Flow
Poster presentation
South-Eastern Applied Mathematics Workshop, November 2008
Collaborators: Zane Beckwith, Roberto Camassa, and Eugene Dumitrescu
Academic Honors
Optics and Quantum Electronics IGERT Graduate Fellowship, funded by the National Science Foundation for interdisciplinary
training in the field of optics and quantum electronics towards sustainable and renewable energy solutions, 2014-2015.
Pi Mu Epsilon, national mathematics honorary society, 2010.
Honors Thesis Research Grant, awarded for research project culminating in undergraduate honors thesis, 2009.
Robert C. Byrd Undergraduate Scholarship, awarded 2006 - 2010.
National Merit Undergraduate Scholarship, awarded by CIBA Specialty Chemicals, 2006 - 2010.
University Honors Program, see honors thesis above, 2006 - 2010.
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UNC Dean’s List, awarded for maintaining 3.50 semesterly grade-point average, 2006 - 2010.
Employment
Department of Mathematical Sciences, Rennselaer Polytechnic Institute
RTG Postdoctoral Research Fellow, 2015 - present.
Department of Applied Physics and Applied Mathematics, Columbia University
Graduate research assistant, 2011 - 2015.
Department of Applied Physics and Applied Mathematics, Columbia University
Teaching assistant, 2010 - 2012.
Courses:
• Partial Differential Equations (introductory graduate level engineering course).
• Introduction to Applied Math (undergraduate linear algebra and ordinary differential equations).
• Numerical Methods for Partial Differential Equations (finite difference, finite element, and spectral methods with numerical
analysis).
• Analytic Methods for Partial Differential Equations (Fourier analysis, basic functional analysis, asymptotic methods, variational methods, perturbation theory).
Applied Mathematics Fluid Dynamics Lab, University of North Carolina at Chapel Hill
Undergraduate research assistant, 2008 - 2010.
Levine Jewish Community Center of Charlotte, NC
Lifeguard with CPR and professional rescuer certifications, 2004 - 2007.
Activities
IMA & PIMS Mathematical Modeling in Industry Workshop XVIII, August, 2014
Pacific Institute for the Mathematical Sciences, Vancouver, BC
Team project: Fast Calculation of Diffraction by Photomasks
Graduate Student Liaison, 2010-present
Department of Applied Physics and Applied Mathematics, Columbia University
Organization of graduate student social and recruitment events
Skills and Languages
Programming: MATLAB, C, C++
Software: Mathematica, Microsoft Office Suite, Adobe Photoshop, DataTank
Languages: English (native), Spanish (basic)
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