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

• 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.
• Finiteness of Stationary Configurations of the Four-Vortex Problem , joint with Rick Moeckel, submitted to Trans. AMS.
• 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

• University of Minnesota Duluth
  • Mathematical Foundations of Bioinformatics
  • Advanced Linear Algebra
  • ODEs and Linear Algebra
  • Multivariable calculus
• 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

Honors and Awards

• Red Socks Award, SIAM Dynamical Systems meeting 2007
• National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, 2002 - 2005
• 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
• Howard Hughes Foundation Research Grant (at Swarthmore College Astronomy department) summers of 1990-1991
• Pennsylvania Governor's School for the Sciences Valedictorian 1990

Invited Talks and Conference Presentations

• 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