Education
Awards and Honors
Project title: ``From ultracold atoms to strange fluids, and back: Modeling and analysis of quantum fluctuations in BoseEinstein condensation''
20092014. Project title: ``Thermodynamic and Kinetic Approaches for Epitaxial Material Systems''
Research Interests
NonEquilibrium Statistical Mechanics; Analytical Aspects of Classical & Quantum Mechanics; Homogenization
Quantum Information & Computation.
Scattering theory: HighEnergy Behavior of Scattering Cross Sections in nonAbelian Quantum Field Theories;
Classical Wave Diffraction & Propagation
Professor Margetis's research lies broadly in materials modeling and analysis, at the triple point of applied mathematics, theoretical physics, and materials science.
His research is motivated by physical experiments and primarily explores the connection of
continuum laws (e.g. PDEs) to discrete or microscopic models (e.g. ODE systems) in classical and quantum mechanics.
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:
 Ms. Kanna Nakamura, Mathematics:
Step flow as a dynamical system.
 Mr. Joshua Schneider, Applied Math & Scientific Computation (AMSC) program
Past students:
 Mr. Paul Patrone, Department of Physics;
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).
Positions: IMA Postdoctoral fellow (201315).
Mr. John Quah, Appl. Math. & Sci. Computation (AMSC) program:
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).
Positions: Research staff, Lockheed Martin, PA (2007 ).
 Mr. PakWing Fok, Applied Mathematics:
PhD earned in 06/2006; thesis in PDF:
Simulations of axisymmetric stepped surfaces with a facet.
Coadvised by Prof. R. R. Rosales (Appl. Math., MIT).
Positions: von Karman instructor in Comp. & Appl. Math., CalTech.
As of Sept. 2009: Assist. Prof., Dept. of Mathematical Sciences, Univ. Delaware.
Other students, coadvised informally at M.I.T.:
 Dr. Nikos Savva, Applied Math. PhD earned in 09/2007  now Lecturer in Applied Mathematics, Cardiff University, UK
 Dr. Jaehyuk Choi, Applied Math.(PhD earned in 06/2005  currently with Goldman Sachs, NY)
Undergraduate students:
Mathematics and Materials Research Science & Engineering Center (MRSEC) :
 Mr. Li Peng Liang, Montgomery College; now in Univ. MD, College Park.
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: 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)
 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  Michael J. Aziz (SEAS, Harvard Univ.)
 Martin Z. Bazant (Chem. Eng. & Applied Math., MIT)
 Andrea Bonito (Math., Texas A&M)
 Russel E. Caflisch (Math. & IPAM, UCLA)
 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 (Math., Courant Inst., NYU)
 JianGuo Liu (Math. & Physics, Duke University)
 Jianfeng Lu (Math., Duke University)
 Matei Machedon (Math., UMD)

John M. Myers
(Project Scientist, SEAS, Harvard Univ.)  Ricardo H. Nochetto (Math. & IPST, UMD)
 Joe Papac (Math., UCLA)
 Ray Phaneuf (Mat. Sci. & Eng., UMD)
 Christian Ratsch (Math. & IPAM, UCLA)
 Rodolfo Ruben Rosales (Applied Math., MIT)
 Abner J. Salgado (Math., UMD)
 Nikos Savva (Cardiff School of Mathematics, UK)
 Todd Squires (Chem. Eng., UCSB)
 Howard A. Stone (Mech. & Aerospace Eng., Princeton Univ.)
 Athanasios Tzavaras (Applied Math., Univ. of Crete, Greece)
 Kerstin Volz (Physics, Univ. of Marburg, Germany)
 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]: