Office: Solon Campus Center (SCC) 172
Email: mhampton at d.umn.edu
My academic family tree.
- Mailing address:
Department of Mathematics and Statistics
- University of Minnesota Duluth
- Solon Campus Center 140
- 1117 University Drive
- Duluth, MN 55812-3000
Feel free to email me a request for electronic copies of papers/preprints.
My current main areas of research are celestial mechanics, bioinformatics and mathematical modeling of trypanosomes, and the production of nectar in flowering plants. For a complete list of my publications see my CV (link above); the papers below are selected to illustrate the range of my work.
Convergent evolution of a novel blood-red nectar pigment in vertebrate-pollinated flowers, joint with R. Roy, N. Moreno, S. A. Brockman, A. Kostanecki, A. Zambre, C. Holl, E. M. Solhaug, A. Minami, E. Snell-Rood, M. A. Bee, Y. Chiari, A. D. Hegeman and C. J. Carter, 2022, Proceedings of the National Academy of Sciences, 119:5
Planar N-body central configurations with a homogeneous potential, 2019, Celestial Mechanics and Dynamical Astronomy, 131:20
Identification of transcripts potentially involved in neural tube closure using RNA sequencing, joint with L. M. Kindt, A. R. Coughlin, T. R. Perosino, H. N. Ersfeld, and J. O. Liang, 2018 Genesis: The Journal of Genetics and Development, 56.
Tail characteristics of Trypanosoma brucei mitochondrial transcripts are developmentally altered in a transcript-specific manner, joint with V. H. Gazestani, A. K. Shaw, R. Salavati, and S. L. Zimmer, 2018, International Journal for Parasitology, 48, 179-189.
Cosines and Cayley, Triangles and Tetrahedra , 2014, American Mathematical Monthly 121, 937- 941.
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.
Transcriptomic Analysis of Brown Adipose Tissue across the Physiological Extremes of Natural Hibernation , joint with R. G. Melvin and M. T. Andrews, 2013, PLoS ONE, 8(12): e85157. doi:10.1371/journal.pone.0085157
Circulation and Metabolic Rates
in a Natural Hibernator: an integrative physiological model, joint
with B. T. Nelson and M. T. Andrews, 2010, American
Journal of Physiology, Regulatory, Integrative, and Comparative Physiology, 299, 1478-1488.
Finiteness of Relative
Equilibria of the Four-Body Problem, joint with R. Moeckel, 2006, Inventiones
mathematicae 163, 289-312.
Stacked central configurations
in the five-body problem, Nonlinearity, 2005, vol. 18, pp.