Education
Awards/Grants and Honors
Project title: ``On plasmons and demons: The mathematics of light propagation in nanoscale materials''.
08/2015  07/2019. Principal Investigator (PI). Other PI's: Frederic Gibou (Univ. California, Santa Barbara),
Christian Ratsch (Univ. California, Los Angeles).
Project title: ``Collaborative Research: Modeling and Simulation of OutofEquilibrium Processes in Epitaxy''.
07/201506/2019. Principal Investigator (PI). Project title: ``BoseEinstein Condensation Beyond Mean Field:
A Partial Differential Equation Approach to Quantum Fluctuations''.
Project title: ``From ultracold atoms to strange fluids, and back: Modeling and analysis of quantum fluctuations in BoseEinstein condensation''.
08/200907/2014. Project title: ``Thermodynamic and Kinetic Approaches for Epitaxial Material Systems''
Univ. Maryland, 2008
Research Interests
NonEquilibrium Statistical Mechanics; Analytical Methods in Classical & Quantum Mechanics
Evolution of Materials Surfaces & Interfaces with Microstructures.
Electrodynamics/Plasmonics and Hydrodynamics on 2D Materials (graphene, black phosphorus, TMDs).
Quantum Dynamics of BoseEinstein Condensation.
Quantum Information & Computation.
Classical Wave Diffraction & Propagation near Boundaries; Antenna Theory.
Professor Margetis's research lies broadly in materials modeling and applied analysis, at the triple point of applied mathematics, theoretical physics, and materials science. The research topics are motivated by laboratory experiments and primarily explore the connection of continuumlike laws (e.g., PDEs for macroscopic variables) to discrete or microscopic models (e.g., ODE systems or microscopic Hamiltonian dynamics) in classical and quantum settings. Of particular interest are microscale effects that leave their signatures even at large scales.
Topics of current, active interest (with links to publications):
Morphological evolution of crystal surfaces below the roughening temperature;
freeboundary problems with microscale effects
Study of shape fluctuations of nanoparticles by use of analytical tools
Nonlocal macroscopic laws beyond the nonlinear Schrödinger (``GrossPitaevskii'') equation;
effects of atomic pair excitations
analysis of a class of firstkind Fredholm integral equations.
Students
Graduate students:
Current students:
 Mr. Stephen Sorokanich, graduate student, Applied Math & Scientific Computation (AMSC) program
 Mr. Ian Johnson, graduate student, Applied Math & Scientific Computation (AMSC) program
Past students:
 Mr. Joshua Schneider, Appl. Math. & Sci. Computation (AMSC) program:
Thesis (PDF):
Multiscale modeling and simulation of stepped crystal surfaces.
Past position: Postdoctoral associate, Mathematics, UCLA
Current position: Assistant Prof., Science, Technology and Mathematics, Gallaudet University.
 Ms. Kanna Nakamura, Mathematics;
Thesis in PDF:
Evolution of faceted crystal surfaces: Modeling and analysis.
Coadvised by Prof. A. Mellet (Math., UMd).
Current position: Health/Financial Policy Analyst, Arkansas Center for Health Improvement.
Past position: Mathematician/Economist/Statistician,
Office of Financial Market, Domestic Finance, Department of the Treasury (Feb. 2015July 2017).
 Mr. Paul Patrone, Department of Physics;
Thesis in PDF:
Modeling of interfaces: Applications in polymer and surface physics.
Coadvised by Prof. T. L. Einstein (Physics, UMd) and Dr. G. M. Gallatin (formerly at NIST).
Past positions: IMA Postdoctoral fellow (201315).
Current position: (Permanent) Research scientist, NIST (Aug. 2015present).
Mr. John Quah, Appl. Math. & Sci. Computation (AMSC) program:
Thesis in PDF:
A macroscale perspective of nearequilibrium relaxation of stepped crystal surfaces.
Positions: Faculty, Mathematics, Montgomery College, Takoma Park.
 Ms. Amy Finkbiner, AMSC program:
PhD earned in 12/2007.
Thesis in PDF:
Global phenomena from local rules: Peertopeer networks and crystal steps .
Coadvised (for work on networks) by Prof. J. Yorke (Mathematics & Physics, & IPST).
Current position: Predictive modeling analyst at Perspecta.
Past Position: Research staff, Lockheed Martin, PA.
 Mr. PakWing Fok, Applied Mathematics:
PhD earned in 06/2006.
Thesis (PDF):
Simulations of axisymmetric stepped surfaces with a facet .
Coadvised by Prof. R. R. Rosales (Appl. Math., MIT).
Past Position: von Karman instructor in Comp. & Appl. Math., CalTech.
Current position: Associate Prof. (tenured), Dept. of Mathematical Sciences, Univ. Delaware.
Other students, coadvised informally at M.I.T.:
 Mr. Nikos Savva, Applied Math. PhD earned in 09/2007  now Lecturer in Applied Mathematics, Cardiff University, UK
 Mr. Jaehyuk Choi, Applied Math. PhD earned in 06/2005  currently with the Faculty of Peking University HSBC Business School, China
Undergraduate students:
Mathematics, Research Experience for Undergraduates (REU), NSF:
 Ms. Qurat Ul Ain Khan, U. North CarolinaAshville.
Project: Bound states of the Schroedinger eq.
Summer 2015.
 Mr. Kyle Liss, Dickinson College.
Project: Scattering theory for quantum computing.
Summer 2015.
Materials Research Science & Engineering Center (MRSEC) :
 Mr. Li Peng Liang, Montgomery College; now at Stanford.
Project: Modeling and analysis of crystalstep interactions.
Summer 2009, Research Experience for Undergraduates (REU) program.
 Mr. Jerrod Young, Norfolk State University (major: Optical Engineering);
now grad. student in College of Optical Sciences, Univ. Arizona.
Project: Modeling and numerics for crystal surfaces under stress.
Summer 2008, Research Experience for Undergraduates (REU) program.
Synergistic activities in the University of Maryland, College Park
 Coorganizer: Symposium on
Mathematical and Computational Aspects of Materials Science,
2014 Materials Research Society (MRS) Fall Meeting, Boston, MA  November 30December 5, 2014.  Coorganizer: 2013 Summer Graduate program on
Flow, Geometric Motion, Deformation and Mass Transport in Physiological Processes,
Institute for Mathematics & its Applications (IMA), University of Minnesota  July 15August 2, 2013.  Coorganizer: Workshop on
Quantum Systems: A Mathematical Journey from Few to Many Particles, CSCAMM  May 1316, 2013  Coorganizer: Workshop on
Nonequilibrium Interface and Surface Dynamics:
Theory, Experiment and Simulation from Atomistic to Continuum Scales (III), CSCAMM  October 2528, 2010  Coorganizer: PDE/Applied Mathematics Seminar: Fall 2006  Spring 2009
 Coorganizer: Kinetic Focused Research Group (FRG) Young Researchers' Workshop:
Kinetic Description of Multiscale Phenomena,
Center for Scientific Computation & Mathematical Modeling (CSCAMM)  March 25, 2009  Coorganizer: Workshop on
Electromagnetic Metamaterials and Their Approximations:
Practical and Theoretical Aspects,
Center for Scientific Computation & Mathematical Modeling (CSCAMM)  September 2225, 2008  Coorganizer: Workshop on
Nonequilibrium Interface and Surface Dynamics:
Theory, Experiment and Simulation from Atomistic to Continuum Scales (II), CSCAMM  April 2327, 2007  Coorganizer: Research Interaction Team
(RIT)  Fall 2015:
Modeling and Analysis in Atomic Physics  Coorganizer: Research Interaction Team (RIT)  Fall 2014:
Particle Systems  Coorganizer: Research Interaction Team (RIT)
 Spring 2012:
Aspects of Statistical Mechanics with Applications  Coorganizer: Research Interaction Team (RIT)
 Fall 2011:
Nonequilibrium Interface and Surface Dynamics: Modeling, Analysis, Numerics, and Experiment  Coorganizer: Research Interaction Team (RIT)
 Spring 2011:
Stochastic Dynamics: Models, Analysis, and Numerics  Coorganizer: Research Interaction Team (RIT)
 Fall 2010:
Nonequilibrium Interface and Surface Dynamics  Coorganizer: Research Interaction Team (RIT)
 Spring 2010:
Quantum Information and Computation  Coorganizer: Research Interaction Team (RIT)
 Fall 2009:
Current Challenges in Materials Science: Aspects of Interface Motion  Codirector:
Research Interaction Team (RIT):
Applied Partial Differential Equations : Fall 2011 and Fall 10 and Fall 09 and Spring 09  Coorganizer: Research Interaction Team (RIT)
 Spring 2008 & Fall 2007:
Kinetics and Fluctuations of Complex Crystal Surfaces  Coorganizer: Research Interaction Team (RIT)  Spring 2007:
Biomembranes: Experiments, Mathematical Modeling, and Numerical Simulations  Coorganizer: Research Interaction Team (RIT)  Fall 2006:
Nonlinear Schrödinger Equations with Applications in Physics  Vera Andreeva (Math., University of Minnesota)
 Michael J. Aziz (SEAS, Harvard Univ.)
 Martin Z. Bazant (Chem. Eng. & Applied Math., MIT)
 Andrea Bonito (Math., Texas A&M)
 Russel E. Caflisch (Courant Institute, NYU)
 Theodore L. Einstein (Physics, UMD)
 Jonah D. Erlebacher (Mat. Sci. & Eng., Johns Hopkins Univ.)
 George Fikioris (Electrical Eng., NTUA, Athens, Greece)
 Frederic Gibou (Mech. Eng., Math., and Comp. Sci., UCSB)
 Manoussos G. Grillakis (Math., UMD)
 Efthimios Kaxiras (Physics & SEAS, Harvard Univ.)
 Robert V. Kohn (Courant Inst., NYU)
 JianGuo Liu (Math. & Physics, Duke University)
 Tony Low (Electr. Eng., University of Minnesota)
 Jianfeng Lu (Math. & Chemistry & Physics, Duke University)
 Mitchell Luskin (School of Mathematics, University of Minnesota)
 Matei Machedon (Math., UMD)
 Matthias S. Maier (Mathematics, Texas A&M Univ.)
 Jeremy L. Marzuola (Mathematics, Univ. North Carolina, ChapelHill)
 Marios Mattheakis (SEAS, Harvard Univ.)
 Antoine Mellet (Mathematics, UMD)

John M. Myers
(Project Scientist, SEAS, Harvard Univ.)  Ricardo H. Nochetto (Math. & IPST, UMD)

Joe Papac
(Staff, Aerospace Corporation, CA; formerly at Math., UCLA)  Paul N. Patrone (Permanent Staff Member, NIST)
 Olivier PierreLouis (CNRS, Institut Lumiere Matiere, Univ. Claude Bernard Lyon 1, France)
 Christian Ratsch (Math. & IPAM, UCLA)
 Rodolfo Ruben Rosales (Applied Math., MIT)
 Nikos Savva (School of Mathematics, Cardiff Univ., UK)
 Joshua Schneider (Science Technology & Math, Gallaudet Univ.)
 Todd Squires (Chem. Eng., UCSB)
 Tobias Stauber (Institute of Materials Science, CSIC, Madrid, Spain)
 Howard A. Stone (Mech. & Aerospace Eng., Princeton Univ.)
 Eite Tiesinga (NIST and Joint Quantum Institute, UMD)
 Nikolaos L. Tsitsas (Department of Informatics, Aristotle University of Thessaloniki, Thessaloniki, Greece)
 Athanasios Tzavaras (Applied Math., KAOUST, Saoudi Arabia)
 John D. Weeks (Chemistry and Biochemistry & IPST, UMD)
 Tai Tsun Wu (Physics & SEAS, Harvard Univ.)
 Workshops and Seminar Series:
 Research Interaction Teams (RIT) [Regular workinggroup meetings/seminars on special topics]: