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Christina Selby

Assistant Professor of Mathematics

Dr. Christina Selby's areas of expertise include partial differential equations, differential geometry, and applied mathematics. Her research focuses on Carnot-Caratheodory geometry and geometric camera calibration. Dr. Selby has experience working for the Johns Hopkins University Applied Physics Laboratory in the Space Department and Asymmetric Operations Department and has participated in the Preparation for Industrial Careers in Mathematical Sciences (PIC Math) program. Check out her personal web page.

Teaching Interests

  • Calculus
  • Differential equations
  • Vector calculus
  • Linear algebra
  • Boundary value problems
  • Real analysis
  • Mathematical methods of image processing
  • PIC math

Research Interests

  • Industrial mathematics
  • Sub-Riemannian geometry
  • Industrial mathematics
  • Partial differential equations
  • Differential geometry

Publications & Presentations

  • Schaefer, R. K., Paxton, L. J., Selby, C., Ogorzalek, B., Romeo, G., Wolven, B., and Hsieh, S.-Y., “Observation and modeling of the South Atlantic Anomaly in Low Earth Orbit Using Photometric Instrument Data,” Space Weather, 14, 330-342, 2016
  • “Where Am I? A Change of Basis Project,” PRIMUS, 26:1, 29-38, 2016
  • “An Extension and Trace Theorem for Functions of H-Bounded Variation in Carnot Groups of Step 2,” Houston Journal of Mathematics, 33.2, 593-616, 2007
  • “Removing Distortion in Star Images with Calculus,” MathFest, Columbus, Ohio, 2016
  • “The Geometric Calibration of the Mercury Dual Imaging System. Incorporating Industry Experience into the Mathematics Classroom,” ASEE Annual Meeting, Seattle, 2015
  • “ε-approximation Technique for Determining Geometric Quantities for Hypersurfaces in Carnot Groups of Step Two,” Geometric Analysis and Applications, University of Illinois at Urbana-Champaign, 2006

Awards & Honors

  • Applied Physics Laboratory Special Merit Award, Johns Hopkins University
  • Kentucky Governor͛s Scholar

Academic Degrees

  • PhD, Purdue University, 2006
  • MS, Purdue University, 2003
  • BA, Western Kentucky University, 2001