腦瞳憫

腦瞳憫

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:

Current Research Areas
Algebra
  • Algebraic Combinatorics (Malandro)
  • Commutative Algebra (Chapman)
  • Group Theory ()
  • Monoid and Semigroup Theory (Chapman, Malandro)
  • Noncommutative Algebra ()
Analysis
  • Noncommutative functional analysis (Hay, )
  • Nonlinear Dynamic Analysis ()
  • Numerical Analysis (Swim, Frugé Jones)
  • Stochastic Analysis ()
Applied Mathematics Combinatorics and Number Theory Mathematics Education
  • Calculus Assessments (Cory)
  • Complex Systems and Mixed Methods (Bullock)
  • Concept Maps (Swarthout)
  • Digital Mathematics Tool (Bullock)
  • Mathematics Curriculum and Assessment (Ray)
  • Mathematics Curriculum Development for Pre-Service Teachers (Cory, Ray)
  • Pedagogical Action Research (Cory, Ray)
  • Retention of Mathematics Learning (Jasper)
  • Textbook Analysis (Jones)
Statistics Topology
Undergraduate Projects
  • Prieto, Ramsden, & Anderson: COMAP Mathematical Contest in Modeling (MCM) Competition - team awarded Meritorious Winner designation
  • 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: (w/Holt)
  • Balusek, Bowers and Hartnett: (w/Alford)
  • Spielvogel:  (w/Garcia-Puente)
  • Meyer, Sanders, Seitz:  (w/Garcia)
  • Clark, Mondin, Weber, & Winborn: (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
  • Liu Yang: Do the bowlers have higher economy rates during the PowerPlay in Twenty20 cricket? A negative binomial regression approach (w/Manage 2014)
  • Christina Nieuwoudt: Assessing the sensitivity of interval estimates in errors-invariables regression (w/Holt 2014)
  • Suzi Gearheart: On partial difference sets in C16 x C16 (w/ Smith, 2013)
  • Rajitha Silva: The robustness of the synthetic t chart for non-normality (w/Scariano, 2013)
  • Shuyuan Huang: Ordinary least squares vs. reduced major axis regression: A performance analysis (w/ Holt, 2013)
  • Jinat Fatema: Analysis of Bangladesh cricket: A quantile regression approach (w/Manage 2013)
  • 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)
  • Vishwas Mallipeddi: Rain-rule methods for Twenty20 cricket (w/Manage, 2012)
  • Mahesh Fernando: Analysis of model selection methods for linear regression (w/Manage 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)
  • Alacia Voth: The exploration and computations of mathematical models of intermittent treatment for prostate cancer (w/Alford 2012)
  • Nadeeshani Jayasena: Comparing the Performance of Ordinary Least Squares and Model II Regression (w/Holt, 2012)
  • Crystal Wiedner: Univariate time series ARIMA modeling of weekly regular conventional gas prices, monthly us federal effective rates, and monthly aviation accident totals (w/Scariano, 2012)
  • Charity Bankhead, Generalized crowns (w/ Garcia, 2010)
Grants