Hans G. Kaper


Greetings and Welcome to My Home Page!

I am an applied mathematician interested in the mathematics of physical systems. My research focuses on the development of analytical and numerical methods for differential equations describing these systems.

My current research interest is in the application of dynamical systems techniques to the Earth's climate system. With my colleague Hans Engler of the Department of Mathematics and Statistics at Georgetown University, I recently co-authored a textbook "Mathematics and Climate," which was selected for the "2013 Choice Award" by the Atmospheric Science Librarians International (ASLI) for its "accessible explanations in key areas where climate and mathematics meet." I am a co-director of the "Mathematics and Climate Research Network," an NSF-funded network linking researchers across the U.S. to develop the mathematics needed to better understand the Earth's climate.

My current academic affiliations are with Georgetown University in Washington, DC, where I am Adjunct Professor in the Department of Mathematics and Statistics, and the University of Illinois at Urbana-Champaign, where I am Adjunct Professor in the School of Music.

I am a Fellow of the Society for Industrial and Applied Mathematics (SIAM), class of 2009, editor-in-chief of SIAM News, and a member of the SIAM Committee on Science Policy.

I spent most of my scientific career in the Mathematics and Computer Science Division (and its predecessor, the Applied Mathematics Division) of Argonne National Laboratory. I retired from Argonne in December 2008 but retain my affiliation with the laboratory as Senior Mathematician Emeritus.

I have held visiting positions at several universities in the U.S. and abroad, and have served the mathematics community as Program Director in the Division of Mathematical Sciences of the National Science Foundation from 2001 until 2008, with an interruption in 2004-'05.

I reside in Washington, DC. (Note: The District of Columbia is not a state. We have no representative in the United States Congress. This colonial status is based on the U.S. Constitution, Article 1, Section 8, Clause 17. "Taxation without Representation.")

My coordinates are given below.

Current Research Interests and Relevant Papers

  • Mathematics and Climate
  • Hans Kaper and Hans Engler, Mathematics and Climate, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pennsylvania (2013), xx+297 pages, ISBN 978-1-611972-60-3 (order here).
  • Applied Dynamical Systems
  • H. G. Kaper, S. Wang, and M. Yari, Dynamical Transitions of Turing Patterns, Nonlinearity 22 (2009) 601-626 (abstract and full text in pdf)
  • L. V. Kalachev, H. G. Kaper, T. J. Kaper, N. Popovic, and A. Zagaris, Reduction for Michaelis-Menten-Henri Kinetics in the Presence of Diffusion, in: Proc. 2006 International Conference in Honor of Jacqueline Fleckinger, Electronic Journal of Differential Equations, Conference 16, 2007, 155-184 (abstract and full text in pdf)
  • A. Zagaris, H. G. Kaper, and T. J. Kaper, Two Perspectives on Reduction of Ordinary Differential Equations, Math. Nachrichten 278, 2005, 1629-1642 (full text in pdf)
  • A. Zagaris, H. G. Kaper, and T. J. Kaper, Fast and Slow Dynamics for the Computational Singular Perturbation Method, SIAM J. Multiscale Modeling and Simulation 2, 2004, 613-638 (abstract); preprint ANL/MCS-P1223-0205, February 2005 (preprint in pdf)
  • Mathematical Biology
  • D. Karpeev, I. S. Aranson, L. S. Tsimring, and H. G. Kaper, Interactions of Semiflexible Filaments and Molecular Motors, Phys. Rev. E 76, 2007, 051905 (full text -- subscribers only); preprint ANL/MCS-P1381-0206, February 2006 (preprint in pdf)
  • Micromagnetics
  • M. Yan, G. Leaf, H. Kaper, V. Novosad, P. Vavassori, R. E. Camley, and M. Grimsditch, Dynamic Origin of Stripe Domains in Cobalt Bars, J. of Magnetism and Magnetic Materials 310, 2007, 1596-1598 (abstract); preprint ANL/MCS-P1353-0606, June 2006 (preprint in pdf)
  • G. Leaf, H. Kaper, M. Yan, V. Novosad, P. Vavassori, R. E. Camley, and M. Grimsditch, Dynamic Origin of Stripe Domains, Phys. Rev. Lett. 96, 2006, 017201 (abstract)
  • R. E. Camley, G. Leaf, H. Kaper, M. Yan, and M. Grimsditch, Phase Transitions and Reversal Mechanisms in Nanosized Magnetic Bars: The Influence of Bulk and Localized Spin Wave Modes, Preprint ANL/MCS-P1359-0706, July 2006 (preprint in pdf)
  • M. Yan, G. Leaf, H. Kaper, R. Camley, and M. Grimsditch, Spin-Wave Modes in a Cobalt Square Vortex: Micromagnetic Simulations, Phys. Rev. B, 73, 014425, 2006 (full text -- subscribers only)
  • Scientific Sonification
  • W. A. Burnson, H. G. Kaper, and S. Tipei, Automatic Notation of Computer-Generated Scores for Instruments, Voices, and Electroacoustic Sounds, Proc. Int'l Computer Music Conference, Stony Brook, NY, 2010; pp. 514-517
  • H. G. Kaper and S. Tipei, DISSCO: A Unified Approach to Sound Synthesis and Composition, Proc. Int'l Computer Music Conference, Barcelona, Spain, 2005; pp. 375-378 (full text in pdf)
  • Recent Presentations

  • Mathematics and Climate
  • Department of Mathematics, College of William & Mary, Williamsburg, VA; April 11, 2014
  • Department of Mathematics, Arizona State University, Tempe, AZ; April 1 & 3, 2014
  • Department of Mathematics, University of Delaware, Newark, DE; March 25, 2014
  • Department of Mathematics, George Washington University, Washington, DC; February 24, 2014
  • Special Session Reaction-Diffusion Equations, Joint Mathematics Meeting, Baltimore, MD; January 18, 2014
  • MPE2013+ Workshop: "Challenges and Opportunities", Arizona State University, Tempe, AZ; January 8, 2014
  • Reduction Methods for Systems of ODEs
  • SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA; May 26, 2010
  • Department of Mathematics, George Mason University, Fairfax, VA; March 6, 2009
  • What goes into a good proposal, where do I send it, and what happens to it?
  • Department of Mathematics, North Carolina State University at Charlotte, Charlotte, NC; November 13, 2008
  • Connections for Women: Dynamical Systems, MSRI, Berkeley, CA; January 19, 2007
  • Books

  • Hans Kaper and Hans Engler, Mathematics and Climate, Society for Industrial and Applied Mathematics (SIAM), Philadelphi, PA, 2013
  • H. G. Kaper and M. Garbey, eds., Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, Kluwer, Dordrecht, 1993
  • H. G. Kaper, C. G. Lekkerkerker, and J. Hejtmanek, Spectral Methods in Linear Transport Theory, Birkhäuser Verlag, Basel, 1982
  • Vita

  • pdf file: basic information about education, employment history, and experience
  • Coordinates

    Senior Mathematician Emeritus Adjunct Professor Adjunct Professor
    Home Address Department of Mathematics and Statistics
    Georgetown University
    School of Music
    University of Illinois at Urbana-Champaign
    3335 Reservoir Rd, NW St. Mary's Hall 338A, Georgetown University 1114 W. Nevada St.
    Washington, DC 20007-2312 Washington, DC 20057-1233 Urbana, IL 61801
    (202) 333-2902 (202) 687-6214 (217) 333-6689
    kaper@mathclimate.org hgk5@georgetown.edu kaper@illinois.edu

    MCS Division home page

    Last update: April 2014