David Shirokoff
Cullimore Hall, Room 512, NJIT
University Heights
Newark, New Jersey 07102-1982
973-642-7031 [email protected]
https://web.njit.edu/~shirokof
Current
Position
Assistant Professor
Department of Mathematical Sciences,
New Jersey Institute of Technology, Sept. 2014 - present
Previous
Positions
Postdoctoral Fellow
Department of Mathematics and Statistics, McGill University,
with J-C. Nave and Rustum Choksi, Sept. 2011- Aug. 2014.
Education Massachusetts Institute of Technology
PhD in Applied Mathematics, Adviser: Rodolfo Ruben Rosales, June 2011.
University of Toronto
Bachelor of Applied Science (BASc) in Engineering Physics, May 2006.
Research
Current research interests
· Numerical methods for non-convex/non-local energy minimization in materials, global
optimization.
· Numerical methods/analysis for differential equations.
· Fourier methods for irregular geometries.
· Pressure Poisson equation reformulations for the Navier-Stokes equations.
Publications
· M. Bandegi, D. Shirokoff, Approximate global minimizers to pairwise interaction problems via convex relaxation, (submitted) (2015).
· R. Galagusz, D. Shirokoff, J-C. Nave, A Fourier penalty method for solving the timedependent Maxwell’s equations in domains with curved boundaries, (submitted), (2015)
arxiv:1503.03914.
· D. Shirokoff, R. Choksi, J-C. Nave, Sufficient conditions for global minimality of
metastable states in a class of non-convex functionals: a simple approach via quadratic
lower bounds, Journal of Nonlinear Science, 25, 3, pp 539-582, (2015).
· D. Shirokoff, J-C. Nave, A Sharp-interface active penalty method for the incompressible Navier-Stokes equations, J. of Sci. Comput., 62, 1, pp 53-77, (2014).
· D. Zhou, B. Seibold, D. Shirokoff, P. Chidyagwai, R. Rosales, Meshfree finite differences for a vector Poisson and pressure Poisson equation with electric boundary
conditions, Meshfree methods for Partial Differential Equations VII Lecture Notes in
Computational Science and Engineering, Vol. 100 Griebel, M. and Schweitzer, M.A.
(ed.), Springer (2014).
· D. Shirokoff, Bouncing droplets on a billiard table, Chaos 23, 013115 (2013).
· D. Shirokoff, R. R. Rosales, An efficient method for the incompressible Navier-Stokes
equations on irregular domains with no-slip boundary conditions, high order up to the
boundary, J. Comput. Phys. 230 (2011) 8619-8646.
· D. Shirokoff, Renormalized waves and thermalization of the Klein-Gordon equation,
Phys. Rev. E 83, 046217, (2011).
· M. A. Amin, D. Shirokoff, Flat-top oscillons in an expanding universe, Phys. Rev.
D 81, 085045 (2010).
· D. Shirokoff, C. H. F. Fung, H. K. Lo, Discrete rotational symmetry and quantum
key distribution protocols, Phys. Rev. A 75, 032341 (2007).
· K. Samokhin, D. Shirokoff, Phenomenological theory of superconductivity near domain walls in ferromagnets, Phys. Rev. B 71, 104527 (2005).
Awards
Research and Academics
· Simons Foundation Collaborative Grant, Sept. 2015-2020.
· National Science and Engineering Research Council (NSERC) Postgraduate Scholarship 2007-2010 (accepted).
· National Science and Engineering Research Council (NSERC) Canadian Graduate
Scholarship 2006 (declined).
· Applied Mathematics fellowship, MIT, 2006-07.
· Akamai Presidential fellow, MIT, 2006-07.
· Centennial thesis award. Awarded for the best senior thesis in the graduating engineering science class, 2006.
· Canadian Association of Physicists (CAP) University Prize Examination (open to all
undergraduates in Canada), 4th place, 2005.
· National Science and Engineering Research Council (NSERC) undergraduate summer
research award, summer of 2004, summer of 2005.
· University of Toronto Scholar, 2002-03, 2004-05, 2005-06.
· Walter Scott Guest Memorial Scholarship 2002-03, Anthony A. Brait Memorial Scholarship 2003-04, Faculty of Applied Science and Engineering Scholarship 2004-05, Faculty
of Applied Science and Engineering, Class of 3T7 Scholarship 2005-06.
Work
Teaching
experience
· Course instructor, NJIT, Advanced mathematical modeling (Math 613), Fall 2014.
· Course instructor, McGill University, Applied Linear Algebra for engineers (Math270),
Spring 2014.
· Course instructor, McGill University, Calculus 3 for engineers (Math262), Fall 2012.
· Course instructor, McGill University, Calculus 1 (Math140), Fall 2011.
· The MIT OpenCourseWare project: problem solving recitation videos for Ordinary
differential equations (18.03sc) and Linear algebra (18.06sc). Videos are located on
YouTube and http://ocw.mit.edu/index.htm.
· Course administrator, MIT, Ordinary differential equations (18.03), Fall 2010. Set
website, problem sets, exam solutions, tutorial material.
· Teaching assistant, MIT, Ordinary differential equations (18.03), Fall 2008, Spring
2009, Fall 2010, Linear algebra (18.06) Fall 2009.
· Grader, MIT, Topics in applied mathematics (18.310) Fall 2007, Numerical methods for
partial differential equations (18.336) Spring 2008, Introduction to numerical analysis
(18.330) Spring 2010.
· Engineering Science tutor, University of Toronto, 2004, 2005.
Research Assistant
· Department of Physics, Brock University, Summer of 2006 under Kirill Samokhin.
Investigation of the Aharonov-Bohm (topological) interaction between superconducting
vortices.
· Department of Physics, University of Toronto, Summer of 2005 under Joseph Thywissen. Construction of a Raman spectroscopy tool for studying degenerate Fermions.
· Department of Physics, Brock University, Summer of 2004 under Kirill Samokhin. A
model for superconductivity near a ferromagnet domain wall.
· Department of Mechanical Engineering, Queen’s University, Summer of 2003 under
Doug Boyd. Study of the field weldability in high strength pipeline steels.
Seminars
Invited Talks
and
· (Upcoming) MIT, Nov. 2015.
Conferences
· (Upcoming) United States Naval Academy, Oct. 2015.
· George Mason University, Sept. 2015.
· University of Delaware, April 2015.
· Numerics Seminar, MIT, Feb. 2013. An active penalty method for the incompressible
Navier-Stokes equations.
· McGill University, Oct. 2011. A projectionless method for solving the incompressible
Navier-Stokes equations.
· Temple University, Oct. 2011. A projectionless method for solving the incompressible
Navier-Stokes equations.
· Numerics Seminar, MIT, Dec. 2010. An efficient method for the incompressible NavierStokes equations on irregular domains with no-slip boundary conditions, high order up
to the boundary.
Conferences Talks
· (Upcoming) SIAM Analysis, Scottsdale, Dec. 2015.
· ICIAM, Beijing, Aug. 2015.
· CAIMS, Waterloo, June 2015.
· SIAM Computation Science and Engineering, Salt Lake City, March 2015. (Minisymposium organizer).
· SIAM Mathematical aspects of materials science, Philadelphia, June 2013. Verifying
global minimizers for a class of non-convex functionals: a simple approach via convex
approximation.
· SIAM Computational science and engineering, Boston, Feb. 2013. An active penalty
method for the incompressible Navier-Stokes equations.
· CMS Winter meeting, Montreal, Dec. 2012. An active penalty method for the incompressible Navier-Stokes equations.
· APS, Division of Fluid Dynamics, San Diego, Nov. 2013. A high order volume penalty
method.
· Incompressible Fluids, Turbulence and Mixing In honor of Peter Constantins 60th
birthday, Carnegie Mellon University, Oct. 2011. A projectionless method for solving
the incompressible Navier-Stokes equations.
· Equadiff, Loughborough University, Aug. 2011. A projectionless method for solving
the incompressible Navier-Stokes equations.
· APS, Division of Fluid Dynamics, Long Beach CA, Nov. 21, 2010. An efficient method
for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary.
Workshops
· CRM 7th Montreal scientific computing days, University of Montreal, Canada, May
2013. An active penalty method for the incompressible Navier-Stokes equations.
· BIRS, Eigenvalues/singular values and fast PDE algorithms: acceleration, conditioning, and stability, Banff, Canada, June 2012.
· IMUM workshop, MIT, Aug. 20 2010. An efficient method for the incompressible
Navier-Stokes equations on irregular domains with no-slip boundary conditions, high
order up to the boundary.
· Fields Institute Workshop on Nonlinear Wave Dynamics, Ottawa, Canada, Aug. 2008.
Conference Posters
· CAP Physics congress, St. Catharines, Canada, June 2006, Discrete rotational symmetry and quantum key distribution.
· Sigma Xi Undergraduate research seminar, Montreal, Canada, Nov. 2005, Superconductivity near a Ferromagnet domain wall.
Synergistic Activities
· Reviewer for: SIAM Journal of Applied Mathematics (SIAP), SIAM Journal of Numerical Analysis (SINUM), Journal of Computational Physics (JCP), Physical Review
Letters, Physical Review E, Wave Motion, Current Applied Physics.
· Organizer for Frontiers in Applied and Computational Math (FACM), 2016.
· Judge for the Greater New York Math Fair, 2015.
· Organizer for NJIT Fluids and Waves seminar, Spring 2015 - present.
References J-C. Nave
· Associate Professor of Mathematics, McGill University
[email protected]
Rustum Choksi
· Professor of Mathematics, McGill University
[email protected]
Ruben Rosales
· Professor of Mathematics, MIT
[email protected]
Jacques Hurtubise
· Professor of Mathematics, McGill University
[email protected]
For references regarding teaching.
Gilbert Strang
· Professor of Mathematics, MIT
[email protected]
For references regarding teaching.
Extra Athletics
curricular
· Member of the MIT club hockey team 2010.
· Member of the MIT varsity rowing team 2006-07.