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2017 March 22

Joshua R. Davis

Education

2005

Ph.D. in Mathematics, minor in Computer Science
University of Wisconsin, Madison, WI
Earned Prize University Fellowship, French-Felten Award for inspirational teaching, Excellence in Teaching Award.

1998

B.A. in Mathematics and Computer Science
Oberlin College, Oberlin, OH
Earned Orr Memorial Prize for outstanding senior in mathematics, High Honors, Phi Beta Kappa, Sigma Xi.

Employment

2007-present

Visiting Assistant Professor, Research Associate
Carleton College, Northfield, MN
Taught mathematics, computer science, and statistics courses. Published research in geological modeling and algorithmic game theory. Released software in R, C, Mathematica, and Python.

2011-2015

Research Associate
University of Wisconsin, Madison, WI
Published papers and software about numerical and statistical methods for modeling of structural geology data.

2005-2007

Lecturing Fellow, Teaching Assistant Professor
Duke University, Durham, NC
Taught mathematics courses. Developed calculus laboratory activities. Conducted research in symplectic topology.

2000-2005

Teaching Assistant, Research Assistant
University of Wisconsin, Madison, WI
Taught mathematics courses. Created and taught a mathematical geology course.

1996

Summer Intern
Ohio Aerospace Institute / NASA Lewis Research Center, Cleveland, OH
Contributed to publication of a space structures engineering manual. Investigated modeling of tribological data using neural networks.

Publications

Joshua R. Davis, Sarah J. Titus. Modern methods of analysis for three-dimensional orientational data. Journal of Structural Geology, 96 (2017) 65-89.

William J. Titus, Sarah J. Titus, Joshua R. Davis. A Bayesian approach to modeling 2D gravity data using polygons. Geophysics, 82 (2017) G1-G21.

Zachary D. Michels, Seth C. Kruckenberg, Joshua R. Davis, Basil Tikoff. Determining vorticity axes from grain-scale dispersion of crystallographic orientations. Geology, 43 (2015) 803-806.

Joshua R. Davis, Scott Giorgis. An inverse approach to constraining strain and vorticity using rigid clast shape preferred orientation data. Journal of Structural Geology, 68 (2014) 337-346.

Joshua R. Davis, Sarah J. Titus, Eric Horsman. Non-steady homogeneous deformations: Computational techniques using Lie theory, and application to ellipsoidal markers in naturally deformed rocks. Journal of Structural Geology, 56 (2013) 142-155.

Chelsea P. Scott, Sarah J. Titus, Joshua R. Davis. Using field data to constrain a numerical kinematic model for ridge-transform deformation in the Troodos ophiolite, Cyprus. Lithosphere, 5 (2013) 109-127.

Joshua R. Davis, Sarah J. Titus. Homogeneous steady deformation: A review of computational techniques. Journal of Structural Geology, 33 (2011) 1046-1062.

Joshua R. Davis, David Liben-Nowell, Alexa Sharp, and Tom Wexler. Mediated Equilibria in Load-Balancing Games. Chicago Journal of Theoretical Computer Science, 5 (2011). Formerly in Proceedings of WINE '09.

Joshua R. Davis, Zachary Goldman, Jacob Hilty, Elizabeth N. Koch, David Liben-Nowell, Alexa Sharp, Tom Wexler, and Emma Zhou. Equilibria and Efficiency Loss in Games on Networks. Internet Mathematics, 7 (2011) 178–205. Formerly in Proceedings of SocialCom '09.

Joshua R. Davis. Degenerate Relative Gromov-Witten Invariants and Symplectic Sums. Ph.D. thesis. University of Wisconsin-Madison (2005).

Special Skills

Skilled in R, C, Python, Mathematica, GLSL, LaTeX.

Familiar with Objective-C, HTML/CSS, Matlab, C++, Perl, Scheme.

References

Available upon request.