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 (Samarakoon)
- Monoid and Semigroup Theory (Chapman, Malandro)
- Noncommutative Algebra (Krawzik)
- Noncommutative functional analysis (Hay, Weld)
- Nonlinear Dynamic Analysis (Phan)
- Numerical Analysis (Swim, Frugé Jones)
- Stochastic Analysis (Phan)
- Epidemiology of Cancer (Kafle)
- Mathematical Biology (Alford)
- Mathematical Modeling (Alford, Swim)
- Numerical Methods (Swim, Frugé Jones)
- Machine Learning (Malandro)
- 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)
- Bayesian Statistics (Butar, Holt, Kafle, Scariano)
- Biostatistics (Holt, Manage)
- Data Analysis (Kafle, Scariano)
- Deep Learning with Time-Dependent Information (Kim)
- Machine Learning (Kim)
- Quality Control (Scariano)
- Regression Analysis (Kafle)
- Risk Assessment Models (Kafle)
- Statistical Learning (Kim)
- Statistical Shape Analysis (Manage)
- 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: Statistical analysis of diagnostic accuracy with applications to cricket (w/Holt)
- Balusek, Bowers and Hartnett: A mathematical model of biocontrol of invasive aquatic weeds (w/Alford)
- 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
- 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
- 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
- Sam Houston State Research Experiences for Undergraduates in Mathematics (SAMREU) funded by NSF REU program.