Marshall Hampton

Department of Mathematics and Statistics
University of Minnesota Duluth
Solon Campus Center 140
1117 University Drive
Duluth, MN 55812-3000
mhampton@d.umn.edu

Education

Ph.D, Mathematics 2002
University of Washington, Seattle, WA

• Thesis: Concave Central Configurations in the Four-Body Problem
• Advisor: C. Robin Graham

B.S., Mathematics and Honors in Physics 1994
Stanford University, Stanford, CA

Research Interests

• Primary: Mathematical Biology/Bioinformatics, Dynamical Systems, Celestial Mechanics, Vortex Dynamics, Convex Geometry, Computational Algebra and Geometry
• Others: Enumerative Geometry, Image Processing, Symplectic Geometry, Fluid Dynamics, Numerical Methods, Kinematics and mechanism design

Publications

• Identification of differential gene expression in Brassica rapa nectaries through expressed sequence tag analysis, joint with Wayne W. Xu, Brian W. Kram, Emily M. Chambers, Jerad S. Ehrnriter, Jonathan H. Gralewski, Teresa Joyal, and Clay J. Carter, submitted to PLoS ONE.
• Circulation and Metabolic Rates in a Natural Hibernator: an integrative physiological model, joint with Bethany T. Nelson and Matthew T. Andrews, submitted to the American Journal of Physiology, Heart and Circulatory Physiology.
• Finiteness of kite relative equilibria in the five-vortex and five-body problems, submitted to Qualitative Theory of Dynamical Systems.
• Finiteness of Stationary Configurations of the Four-Vortex Problem , joint with Rick Moeckel, 2009, Transactions of the American Mathematical Society 361, 1317-1332.
• A simple molecular mathematical model of mammalian hibernation, joint with Matthew T. Andrews, 2007, Journal of Theoretical Biology 247, 297-303.
• A family of central configurations in the spatial seven-body problem, joint with Manuele Santoprete, 2007, Celestial Mechanics and Dynamical Astronomy 99, 293-305.
• Finiteness of Relative Equilibria of the Four-Body Problem, joint with Rick Moeckel, 2006, Inventiones mathematicae 163, 289-312.
• Co-circular central configurations in the four-body problem, Equadiff 2003 Proceedings (peer reviewed).
• Concave Central Configurations in the Four-Body Problem, 2002, Ph.D. thesis at the University of Washington.
• Stacked central configurations in the five-body problem, Nonlinearity, 2005, vol. 18, pp. 2299-2304.
• On the nonexistence of singular equilibria in the four-vortex problem , joint with Heather Stolley, Andrea Peterson, and Albert Wang, The Furman University Electronic Journal of Undergraduate Mathematics, (2005) vol. 10, 1-4.

Teaching Experience

• African Institute for Mathematical Sciences (Muisenberg, South Africa)
  • Bioinformatics Algorithms
• University of Minnesota Duluth
  • Mathematical Foundations of Bioinformatics (interdisciplinary graduate course)
  • Advanced Linear Algebra (graduate course)
  • Linear Algebra
  • ODEs and Linear Algebra
  • Multivariable calculus
  • Introduction to Contemporary Mathematics
• University of Minnesota
  • ODEs and Linear Algebra
  • Chaos and Dynamical Systems
  • Multivariable calculus
• University of Washington:
  • Calculus sequence
  • ODEs
  • TAed and graded a wide variety of other courses

M.S. Projects Supervised

• Seth Slettedahl, Creating Custom Scoring Matrices for Organisms with an A+T Rich Genome , 2009
• Annette Katich, Optimum Mixed Volume for Polynomial Sets , 2009
• Shane Ellis, Comparative Genomics of Mammalian Hibernators, 2008
• Hans Anderson, A Digital Audio Coder Based on a Model of Human Hearing, 2007

Honors and Awards

• Red Socks Award, SIAM Dynamical Systems meeting 2007
• Funded Participant, MSRI Modern Signal Processing Workshop, 2001
• University of Washington NSF VIGRE Graduate Fellowship, 1999 - 2001
• Stanford University Captain Roland Puccinelli Scholarship 1993 - 1994
• Stanford University Undergraduate Research Opportunities Grant 1993
• Stanford University George and Helen George Scholarship 1991-1993
• Pennsylvania Governor's School for the Sciences Valedictorian 1990

Grants

• American Institute of Mathematics Structured Quartet Research Ensemble grant, 2009 - 2010
• University of Minnesota Visualization and Digital Imaging Lab summer grant, 2008
• University of Minnesota Grant-in-Aid, 2007-2008
• National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, 2002 - 2005
• Howard Hughes Foundation Research Grant (at Swarthmore College Astronomy department) summers of 1990, 1991

Invited Talks and Conference Presentations

• Joint National Meetings, Washington, D.C., 2009
• Lakehead University, Thunder Bay, Ontario, 2008
• University of Illinois, Chicago, IL, 2008
• SIAM Life Sciences Conference, Montreal, Canada (poster presentation), 2008
• HAMSYS V Conference, CIMAT, Guanajuato, Mexico, 2008
• Enumeration and Bounds in Real Algebraic Geometry workshop, Bernoulli Center of the EPFL, Lausanne, Switzerland, 2008
• Joint Mathematics meetings, Special Session on Biomathematical Modeling, San Diego, CA, 2008
• Joint Mathematics meetings, Biomathematics in the Undergraduate Curriculum MAA Contributed Paper Session, San Diego, CA, 2008
• Mathematical Biosciences Institute, Ohio State University, Columbus, OH, 2007
• St. John's University, St. Joseph, MN, 2007
• Project NExT (North Central Section) meeting of the MAA, Bemidji State University, Bemidji, MN, 2007
• Undergraduate Colloquium, University of Minnesota, Duluth, MN, 2007
• Society for Mathematical Biology annual meeting, San Jose, CA, 2007
• SIAM Dynamical Systems conference, Snowbird, UT, 2007
• Project NExT (North Central Section) meeting of the MAA, College of St. Catherine, St. Paul, MN, 2007
• Undergraduate Colloquium, University of Minnesota, Duluth, MN, 2007
• Joint Mathematics meetings, Mathematics and Biology 2010: Building Connections, New Orleans, LA, 2007
• Graduate Colloquium, University of Minnesota, Duluth, MN, 2007
• Undergraduate Colloquium, University of Minnesota, Duluth, MN, 2007
• Joint Mathematics meetings, Special Session on Symbolic-Numeric Computation and Applications, San Antonio, TX, 2006
• Undergraduate Colloquium, University of Minnesota, Duluth, MN, 2005
• Department Colloquium, University of Washington, Seattle, WA, 2004
• AMS Regional Meeting, Northwestern University, Evanston, IL, 2004
• CMS/CAIMS Joint Summer Meeting, Dalhousie University, NS, Canada, 2004
• Hamline University, Minneapolis, MN, 2004
• ECCAD (East Coast Computer Algebra Day), Wilfred Laurier University, ON, Canada, 2004
• Celestial Mechanics Workshop, Banff International Research Station, Banff, AB, Canada, 2004
• Equadiff, Limburg University, Hasselt, Belgium, 2003
• AIMS Variational Methods in Celestial Mechanics Workshop, Palo Alto, CA, 2003
• Midwest Dynamical Systems Conference, University of North Carolina Asheville, NC, 2002
• HAMSYS Conference, CIMAT, Guanajuato, Mexico, 2001
• University of Victoria, BC, Canada, 2001
• Seattle University, Seattle, WA, 1999

Other Experience

Professional Memberships

• American Mathematical Society (AMS)
• Mathematical Association Of America (MAA), Biology special interest group (BIOSIGMAA)
• Society for Industrial and Applied Mathematics (SIAM)
• Association for Women in Mathematics (AWM)
• Society for Mathematical Biology (SMB)

Service

• Developer for the Sage software project, 2007 - present
• Mathematical Association of America's Committee on Graduate Students, 2009 - 2011
• Mathematical Association of America Panel Session Organizer, 2009
• Conference Organizer, Midwest Dynamical Systems Conference, University of Minnesota, 2005
• Reviewer for Mathematical Reviews
• Referee for Celestial Mechanics and Dynamical Astronomy, American Journal of Physiology - Regulatory, Integrative and Comparative Physiology, Nonlinearity, Physics Letters A, Physica D, SIAM Journal on Applied Dynamical Systems, and Discrete and Continuous Dynamical Systems.
• Preparing Future Faculty (PFF) Committee, University of Washington Mathematics Department, 1999 - 2001
• Graduate and Professional Student Senate, University of Washington, 1999 - 2001