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

• Honors Thesis: On the electronic structure, magnetism, and spectroscopy of manganese catalase enzyme models
• Advisors: Daniel R. Gamelin and Martin L. Kirk

Research Interests

• Primary: Mathematical Biology/Bioinformatics, Dynamical Systems, Celestial Mechanics, Vortex Dynamics, Convex Geometry, Computational Algebra and Geometry
• Others: Enumerative Geometry, Numerical Methods, Differential Equations.

Peer-Reviewed Publications

• Deep Sequencing the Transcriptome Reveals Seasonal Adaptive Mechanisms in a Hibernating Mammal, joint with Richard G. Melvin, Anne H. Kendall, Brian R. Kirkpatrick, Nichole Peterson, and Matthew T. Andrews, 2011, PLoS ONE, 6(10): e27021. doi:10.1371/journal.pone.0027021.


• Finiteness of spatial central configurations in the five-body problem, joint with Anders Jensen, 2011, Celestial Mechanics and Dynamical Astronomy 109, 321-332.


• Circulation and Metabolic Rates in a Natural Hibernator: an integrative physiological model, joint with Bethany T. Nelson and Matthew T. Andrews, 2010, American Journal of Physiology, Regulatory, Integrative, and Comparative Physiology, 299, 1478-1488.


• 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, 2010, PLoS ONE 5(1): e8782. doi:10.1371/journal.pone.0008782.


• Finiteness of kite relative equilibria in the five-vortex and five-body problems, 2010, Qualitative Theory of Dynamical Systems 8(2), 349-356, doi: 10.1007/s12346-010-0016-7.


• 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.


• 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.


• Concave Central Configurations in the Four-Body Problem, 2002, Ph.D. thesis at the University of Washington. Link to library copy.

Other Publications

• Introduction to Differential Equations with Sage, joint with William David Joyner. Accepted for publication at Johns Hopkins University Press pending revisions; final version due in late 2011.


• Introduction to Sage and Cython.


• Mathematical coloring book. (Under development.)

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)
  • Complex Variables
  • Linear Algebra
  • ODEs and Linear Algebra
  • Multivariable calculus
  • Introduction to Contemporary Mathematics
• University of Minnesota Twin Cities
  • 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

• Michael Cook, Tropical Geometry of the Albouy-Chenciner equations , in progress.
• Amy Virta, Expression Patterns of Codon Usage During Hibernation in the 13-lined Ground Squirrel, in progress.
• Kristyna Korinkova, Characterization of Symmetric Non-negative Homogeneous Polynomials on Geometric Configurations, 2009
• 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

Undergraduate projects and independent studies

• Philip Nelson, 3-D Polyhedral Unfoldings in Sage , 2011.
• Ray Kuschel, The Transcriptional Landscape of a Retroviral Insertion in the 13-lined Ground Squirrel, 2011.
• Hanna Froehlich, Determining the Age of Retroviral Insertions in the Spermophilus tridecemlineatus Genome, 2010.
• Alex Jokela, parser for PHCpack-Sage interface, 2008.
• Heather Stolley, Andrea Peterson, and Albert Wang, On the nonexistence of singular equilibria in the four-vortex problem, 2005.

Honors and Awards

• Swenson College of Science and Engineering Young Teacher Award, 2011
• 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

• National Heart, Lung, and Blood Institute Grand Opportunity Grant (PI is Matthew Andrews) 2009 - 2011
• American Institute of Mathematics Structured Quartet Research Ensemble grant, 2009 - 2011
• 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

• NIMBioS Investigative Workshop - Mathematical Models of Metabolism and Body Weight Regulation (poster presentation), Knoxville, TN, 2011
• Keystone Symposium: Metabolic Responses to Extreme Conditions, Big Sky, MT, 2011
• Department seminar, St. Cloud State University, St. Cloud, MN, 2010
• MAA North Central Section fall meeting, Sioux Falls, SD, 2010
• Department seminar, Mankato State University, Mankato, MN, 2010
• Department seminar, University of Wisconsin Superior, Superior, WI, 2010
• Joint National Mathematics Meetings, San Francisco, CA, 2010
• Undergraduate Colloquium, University of Minnesota, Duluth, MN, 2009
• Frontiers in Cell Biology, University of Minnesota, Duluth, MN, 2009
• Reed College, Portland, OR, 2009
• Stellenbosch University, Stellenbosch, South Africa, 2009
• Joint National Mathematics 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 National Mathematics Meetings, Special Session on Biomathematical Modeling, San Diego, CA, 2008
• Joint National 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 National 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

• Contributor, Sage Project, 2007-present
  • Development, testing, support
• Software Developer, RAF Technology, Inc., Redmond, WA, 2000 - 2002
  • C++ and C programming and algorithm development for OCR (Optical Character Recognition) and image processing.
• Copyeditor, Reviews of Modern Physics, Seattle, WA, 1997 - 1998
• Mathematical Consultant for Video Game, Creative Insights, Inc., Cupertino, CA, 1994 - 1995
  • Developed collision detection and physics modeling algorithms for a video game.
• Library Assistant, Physics Library, Stanford University, Stanford, CA, 1991 - 1995
  
• Mathematics grader, Mathematics Department, Stanford University, Stanford, CA, 1991 - 1995
• Scientific programming in astrophysical research, Swarthmore College, PA, 1989 - 1990
  • Image processing, database, and graphics programming 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)
• International Society for Computational Biology
• Association of Teachers of Computer Science

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, Journal of Differential Equations, 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