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Mathematics and Statistics

Research and Grants

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)