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2020 September 8

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.

2017-present

Lecturer

Carleton College, Northfield, MN

Taught mathematics, statistics, and computer science courses. Published research in geological modeling. Released software in R and C. Led geometric statistics workshops for professional geologists.

2007-2017

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.

Nicolás Garibaldi, Basil Tikoff, Dana Peterson, Joshua R. Davis, Katie Keranen. Statistical separation of tectonic and resurgence-driven components of deformation on silicic reservoirs, Laguna del Maule volcanic field, Chile. Journal of Volcanology and Geothermal Research 389 (2020), doi:10.1016/j.jvolgeores.2019.106744.

Randolph T. Williams, Joshua R. Davis, Laurel B. Goodwin. Do large earthquakes occur at regular intervals through time? A perspective from the geologic record. Geophysical Research Letters 46 (2019) 8074-8081, doi:10.1029/2019GL083291.

Nicolas Roberts, Basil Tikoff, Joshua R. Davis, Tor Stetson-Lee. The utility of statistical analysis in structural geology. Journal of Structural Geology, 125 (2019) 64-73, doi:10.1016/j.jsg.2018.05.030.

Sarah J. Titus, William Chapman, Andrew J. Horst, Maxwell Brown, Joshua R. Davis. Distributed Deformation in an Oceanic Transform System: Applying statistical tools to structural and paleomagnetic data near the Húsavík-Flatey fault, northern Iceland. Tectonics, 37 (2018) 3986-4017, doi:10.1029/2018TC005096.

Dario Bilardello, William Callebert, Joshua R. Davis. Evidence for widespread remagnetizations in South America, case study of the Itararé Group rocks from the state of São Paulo, Brazil. Frontiers in Earth Science, 6 (2018), doi:10.3389/feart.2018.00182.

Joshua R. Davis, Sarah J. Titus. Modern methods of analysis for three-dimensional orientational data. Journal of Structural Geology, 96 (2017) 65-89, doi:10.1016/j.jsg.2017.01.002.

William J. Titus, Sarah J. Titus, Joshua R. Davis. A Bayesian approach to modeling 2D gravity data using polygons. Geophysics, 82 (2017) G1-G21, doi:10.1190/GEO2016-0153.1.

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, doi:10.1130/G36868.1.

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, doi:10.1016/j.jsg.2014.05.027.

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, doi:10.1016/j.jsg.2013.08.003.

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, doi:10.1130/L237.1.

Joshua R. Davis, Sarah J. Titus. Homogeneous steady deformation: A review of computational techniques. Journal of Structural Geology, 33 (2011) 1046-1062, doi:10.1016/j.jsg.2011.03.001.

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).

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

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