Joshua R. Davis Dept. of Mathematics Carleton College 1 N. College St. Northfield, MN 55057
jdavis at carleton dot edu http://people.carleton.edu/~jdavis/ http://www.joshuadavis.us/ Phone: 507-645-4402
Education Ph.D. in Mathematics, University of Wisconsin-Madison, 2005 Dissertation: Degenerate Relative Gromov-Witten Invariants and Symplectic Sums Advisor: Eleny Ionel Minor: Computer Science B.A. in Mathematics and Computer Science, Oberlin College, 1998 High Honors, Phi Beta Kappa, Sigmi Xi Positions Held Research Associate University of Wisconsin-Madison
2011-present
Visiting Assistant Professor, Research Associate Carleton College
2007–present
Teaching Assistant Professor / Lecturing Fellow Duke University
2005–2007
Teaching Assistant University of Wisconsin-Madison
2000–2004
Papers Davis, J.R. and Giorgis, S. An inverse approach to constraining strain and vorticity using rigid clast shape preferred orientation data. Submitted to Journal of Structural Geology. Davis, J.R., Titus, S.J., and Horsman, E. Non-steady homogeneous deformations: Computational techniques using Lie theory, and application to ellipsoidal markers in naturally deformed rocks. Submitted to Journal of Structural Geology. Scott, C.P., Titus, S.J., and Davis, J.R. Using field data to constrain a numerical kinematic model for ridge-transform deformation in the Troodos ophiolite, Cyprus. Lithosphere, 5 (2013) 109-127. Davis, J.R. and Titus, S.J. Homogeneous steady deformation: A review of computational techniques. Journal of Structural Geology, 33 (2011) 1046-1062. Davis, J.R., Liben-Nowell, D., Sharp, A. and Wexler, T. Mediated equilibria in load-balancing games. Workshop on Internet & Network Economics 2009. Davis, J.R., Goldman, Z., Hilty, J., Koch, E.N., Liben-Nowell, D., Sharp, A., Wexler, T., and Zhou, E. Equilibria and Efficiency Loss in Games on Networks. In Internet Mathematics, 7(3):178205, 2011. Formerly in Proceedings of SocialCom ’09, August 2009. Talks, Posters, Abstracts Giorgis, S. and Davis, J.R. An inverse approach to extracting strain and vorticity data from porphyroclast populations. GSA, 2012.
Horsman, E., Davis, J.R. and Titus, S.J. Using deformable clasts to constrain rock deformation: An example from the Gem Lake shear zone. GSA, 2012. Davis, J.R., Giorgis, S., and Titus, S.J. Computation of homogeneous deformations, and application to the western Idaho shear zone, USA. Structural Geology and Tectonics Forum, 2012. Davis, J.R. and Titus, S.J. Deformable and rigid ellipsoids in viscous flows: Computational methods. GSA, 2011 Titus, S.J. and Davis, J.R. A unified computational approach for models of homogeneous steady deformation. Penrose Conference on Deformation Localization, Spain, 2011 Scott, C., Titus, S.J., and Davis, J.R. Kinematic modeling of deformation near a ridge-transform intersection in the Troodos Ophiolite, Cyprus. AGU fall meeting, 2010 Titus, S.J. and Davis, J.R. Modeling the evolution of a transform fault in the mantle section of the New Caledonia ophiolite. AGU fall meeting, 2010 Titus, S.J. and Davis, J.R. Modeling the evolution of a transform fault in the mantle section of the New Caledonia ophiolite. GeoNZ meeting, Auckland, New Zealand, 2010 Titus, S.J. and Davis, J.R. Steady-state deformation using matrix exponentials. AGU fall meeting, 2009 Titus, S.J., Davis, J., Ferre, E., and Tikoff, B. Quantifying Strain Across a Paleotransform Fault in the Mantle Section of an Ophiolite, New Caledonia. AGU fall meeting, 2008 Davis, J.R. St. Olaf College Mathematics Department, 2008 Davis, J.R. Carleton College Mathematics Department, 2007 Davis, J.R. Special Session on Floer Homology, Joint Mathematics Meetings, 2007 Davis, J.R. Brown University Mathematics Department, 2006 Awards, Grants, and Fellowships NSF grant: Differential geometry and statistics of deformation tensors, 2011 Collaboration with Basil Tikoff (UW-Madison) and Sarah Titus (Carleton College). MAA Project NExT Fellowship, 2006-2007 Excellence in Teaching Award, UW-Madison Mathematics Department, 2002 NSF VIGRE Fellowship, 2002 French-Felten Award, UW-Madison College of Letters and Science, 2001 For inspirational teaching. Prize University Fellowship, UW-Madison, 1998–2000 Hughes Foundation grant, Oberlin College, 1998 Orr Memorial Prize, Oberlin College, 1998
