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

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)

Events

Colloquium:

9/18    Bernhard Bodman
9/25    Efton Park
10/2    Dusty Jones
10/9    Ina Petkova
10/16   Nick Long
10/23   Monnie McGee


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