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
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, Numerical Methods, Differential Equations.
Peer-Reviewed Publications
- Splendid Isolation: local uniqueness of the centered co-circular relative equilibria in the N-body problem , submitted to Celestial Mechanics and Dynamical Astronomy April 29, 2015; revision submitted August 13, 2015.
- Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations, joint with Anders N. Jensen, 2015, Journal of Geometric Mechanics, 7, 35-42.
- Gene expression changes controlling distinct adaptations in the heart and skeletal muscle of a hibernating mammal , joint with K.T. Vermilion, K.J. Anderson, and M.T. Andrews, 2015, Physiological Genomics, DOI: 10.1152/physiolgenomics.00108.2014.
- Hypothalamic gene expression underlying pre-hibernation satiety , joint with C. Schwartz and M.T. Andrews, 2015, Genes, Brain and Behavior, DOI: 10.1111/gbb.12199.
- Cosines and Cayley, Triangles and Tetrahedra , 2014, American Mathematical Monthly 121, 937- 941.
- Relative Equilibria in the Four-Vortex Problem with Two Pairs of Equal Vorticities, joint with G. E. Roberts and M. Santoprete, 2014, Journal of Nonlinear Science, 24 (1), 39-92.
- PIN6 is required for nectary auxin response and short stamen development, joint with R. L. Bender, M. L. Fekete, P. M. Klinkenberg, B. Bauer, M. Malecha, K. Lindgren, J. Maki, M. A. Perera, B. J. Nikolau, and C. J. Carter, 2013, The Plant Journal, 74 (6), 893-904.
- Seasonal and Regional Differences in Gene Expression in the Brain of a Hibernating Mammal, joint with Christine Schwartz and Matthew T. Andrews, 2013, PLoS ONE 8(3): e58427. doi:10.1371/journal.pone.0058427
- Transcriptomic Analysis of Brown Adipose Tissue across the Physiological Extremes of Natural Hibernation , joint with Richard G. Melvin and Matthew T. Andrews, 2013, PLoS ONE, 8(12): e85157. doi:10.1371/journal.pone.0085157
- 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
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
- Michael Cook, Tropical Geometry of the Albouy-Chenciner equations, 2012.
- Amy Virta, Expression Patterns of Codon Usage During Hibernation in the 13-lined Ground Squirrel, 2011.
- 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
- Joseph Toninato, Searching for a Viable Betting Strategy, 2015.
- 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
- University of Minnesota Informatics Institute Transdisciplinary Fellowship, 2015
- 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 Science Foundation Integrative Organismal Systems (PI is Clay Carter), 2015-2018
- 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
- MAA North Central Section fall meeting, Bemidji, MN, 2015
- Molecular Biology Guest Lecture, UMD, MN 2015
- Molecular Biology Guest Lecture, UMD, MN 2014
- Minnesota State University at Winona, MN 2013
- The Institut de mecanique celeste et de calcul des ephemerides, Paris, France 2013
- Insitut Henri Poincare, Paris, France 2013
- Molecular Biology Guest Lecture, UMD, MN 2013
- Hibernation 2.0 conference, University of Wisconsin Oshkosh, WI 2013
- MAA Mathfest, Madison, WI 2012
- Molecular Biology Guest Lecture, UMD, MN 2012
- 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
- 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)
- Society for Industrial and
Applied Mathematics (SIAM)
- Association for Women in
Mathematics (AWM)
Service
- Organizer for Mathematics Department demonstrations for UMD Science Day, 2014-2015
- Guest Artist/Lecturer for 'Math on a Stick', MN State Fair, 2015
- 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
- Acta Applicandae Mathematicae
- Advances in Mathematics
- American Journal of Physiology - Regulatory, Integrative and Comparative Physiology American Mathematical Monthly
- Celestial Mechanics and Dynamical Astronomy
- Discrete and Continuous Dynamical Systems
- Involve
- Journal of Differential Equations
- Journal of Dynamics and Differential Equations
- Journal of Mathematical Analysis and Applications
- Journal of Mathematical Physics
- Minnesota Sea Grant
- Journal of Nonlinear Analysis B: Real World Applications
- Nonlinearity
- Physiological and Biochemical Zoology
- Physiological Genomics
- Physica D
- Physics Letters A
- PLOS ONE
- Proceedings of the 13th International Hibernation Symposium Qualitative Theory of Dynamical Systems
- SIAM Journal on Applied Dynamical Systems
- SIAM Journal on Mathematical Analysis
- Zeitschrift fuer Angewandte Mathematik und Physik
- Preparing Future Faculty (PFF)
Committee, University of Washington Mathematics Department, 1999 - 2001
- Graduate and Professional Student
Senate, University of Washington, 1999 - 2001