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Research Interests and Papers



My research interests include areas in both pure and applied mathematics. Recently, I have focused almost exclusively on applied topics, studying applications of network theory and modeling to problems in economics, neuroscience, sociology, political science, and psychology. My work in pure mathematics focuses on the study of the solutions of geometric partial differential equations in sub-Riemannian (or Carnot-Caratheodory) geometries.


Applied Mathematics


Journal Articles

a. Designated "Highly Accessed" for BMC Bioinformatics.
b. The editorial board of EJN designated this the featured article for this issue of the journal. b. The editor designated this article a featured review for this issue of TINS.

Books and Monographs

  • Leibon, G., Pauls, S. D., Rockmore, D., and Savell, R. Statistical Learning for Complex Systems. Under contract with Princeton University Press

Pure Mathematics


Journal Articles

Books and Monographs

  • Capogna, L., Pauls, S. D. , and Tyson, J. An Introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Progress in Mathematics, volume 259. Birkhauser, 2007.

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Last modified on January 13, 2017