Our faculty are proud of the research they've completed (see below for more information). But more impressive is the work of our students:
Undergraduate Projects
- Kovyrshina, Montes, & Watkins: Franklin magic circles (w/ Garcia)
- Herring, Meza, & Nieuwoudt: Sandpile groups (w/Garcia-Puente)
- Bankhead, Voth, Woods: discrete Morse theory (w/Loft)
- Clark, Mondin, Weber, & Winborn: Statistical Analysis of Diagnostic Accuracy with Applications to Cricket (w/Holt)
- Spielvogel: Identifying causal effects with computer algebra (w/Garcia-Puente)
- Meyer, Sanders, Seitz: Enumeration of Franklin circles (w/Garcia)
- Clark, Mondin, Weber, & Winborn: Interval Estimates for Predictive Values in Disease Testing (w/Holt)
- Mondin & Weber: Performance Analysis of Bayesian Credible Sets and Wald-Type Confidence Intervals for Accuracy (w/Holt)
- Diaz & Howard: Algebraic methods for phylogenetic inference (w/Garcia-Puente)
Graduate Projects
- Wei Zhang: On scaling infinite product and its applications (w/ Wang, 2012)
- Darwin Luna: Stochastic models for heat flow in a cylinder (w/ Swim, 2012)
- Alex Diaz: Testing a distance algorithm in tree space (w/ Loft, 2012)
- Samantha Caspar: Midpoints of tree geodesics & consensus (w/Loft, 2012)
- Robert Williams: Monomial ideals (w/Garcia-Puente, 2012)
- Luis Molina: Sandpile groups (w/Garcia-Puente, 2012)
- Sarah Spielvogel: Completing Emmy Noether' 1908 thesis (w/ Garcia, 2012)
- Jayasena: Comparing the Performance of Ordinary Least Squares and Model II Regression (w/Holt, 2012)
- Charity Bankhead, Generalized crowns (w/ Garcia, 2010)
Current Grants
- Pacific Undergraduate Research Experience in Mathematics (PURE Math) funded by NSF MCTP program, 2011-2015
- Peers Enhancing their Education through Research & Scholarship (PEERS) funded by NSF S-STEM program, 2008-2015
Current Areas of Faculty Research
- Differential Topology (Loft)
- Differential Geometry (Loft)
- Knot Theory (Doleshal)
- Computational Algebraic Geometry (Garcia-Puente)
- Low-dimensional Topology (Doleshal)
- Topological Groups (Short)
- Mathematical Biology (Alford)
- Mathematical Modeling (Alford, Swim)
- Mathematics for ELL (Jasper)
- Textbook Analysis (Jones)
- Concept Maps (Swarthout)
- Grobner Bases (Garcia)
- Exceptional Dehn Surgeries (Doleshal)
- Difference Sets (Smith)
- Commutative Algebra (Chapman, Garcia)
- Computational Algebra (Garcia)
- Combinatorics (Chapman, Malandro, Smith)
- Number Theory (Chapman)
- Statistical Shape Analysis (Manage)
- Biostatistics (Holt, Manage)
- Quality Control (Scariano)
- Multivariate Analysis (Hallum)
- Regression Analysis (Hallum)
- Noncommutative functional analysis (Hay)
- Numerical Analysis (Swim)
- Approximation Theory (Wang)
- Numerical Methods (Swim)
- Harmonic Analysis (Wang)
- Wavelets (Wang)
- Algebraic Statistics (Garcia-Puente)
- Bayesian Statistics (Butar, Holt)

