Past Research Projects
- On Good abc Triples
- Political Candidates Optimization Strategies on a Network
- Domination in Zero-Divisor Graphs
- Applying Deep Neutral Networks to Population Genomic Data for Estimating Parameters in Process-based Evolutionary Models
- Pay-as-you-drive (PAYD) Auto Insurance Modeling
- Variants of 'r' sounds used by Dominican Speakers of Spanish
- Applying a Lake Ecosystem Model to Twin Cities Urban Lakes
- Resource Constrained Spectrum Analysis from Photon Time-Stamps
- Predicting the Effectiveness of Chronic Wasting Disease
- Quantum Tornado
- Updated Statistical Population Reconstruction of Moose in Northeastern Minnesota
- On the Regulation, Risk Management and Development of Reverse Mortgage Programs
- Modeling Agonistic Character Displacement in Meadowlarks
- Power domination
- Time Series Analysis for Worldwide COVID Mortality
- Modeling Chronic Wasting Disease Management in Minnesota
- Fast software to compute knotting in proteins and chromosomes
- Using numerical modeling to constrain the timing and duration of faulting in the Ama Drime Range, southernmost Tibet
- Statistical Population Reconstruction of Moose in Minnesota
- Quantum Methods for Macroscopic Weather Prediction
- Applications of Fractional Differential Equations to Magneto-Rheological Damper Models
- The Evolution of Interspecific Territoriality in Ficedula Flycatchers
- Knotting and Linking in Genomes
- Modeling Mechanical-Biochemical Interactions in Neuronal Growth Cones
- Unique Rectification Targets for Increasing Shifted Tableaux
- Modeling Nutrient Loss and Recycling in Urban Gardens
- Dimension Reduction for Generalized Linear Mixed Models
- Exploring The Use of Fractional Derivatives in Modeling the Elasto- and Visco-Plastic Behavior of Ductile Metals
- Modeling Co-Evolutionary Arms Races in Spatially-Structured Populations
- Probability with Dice and Spindle Whirls
- COVID-19 Excess Deaths Modeling
- Geometric Invariants for Bone Fragment Refitting
- The Source-Sink Dynamics of Coevolutionary Arms-Races
- Modeling Pollinator Movement and Behavior
- Thermodynamics and Statistical Mechanics of Tornados
- Examining the Topology of Text through Topological Data Analysis and Natural Language Processing
- Zero Forcing of the Generalized Hierarchical Products of Graphs
- Medical Loss Ratio Data Analysis
- Models of Economic Capital for P&C Insurance Companies
- Modeling Childhood in Social Learning
- Physical Knots
- A Regime Switching Model under the Heston Stochastic Volatility
- R Package Development
- Modeling Mining Impacts on Groundwater
- Best Practices in Peer Tutoring and Teaching Mathematics
- Conservation of South American Alligators using Stochastic Models (1, 2)
- An Analysis of Claims Behaviors
- R Package Development (1, 2)
- Using Statistical Mahalanobis Distance Metric to Classify 3D Objects
- Predator-Prey-Food Ecosystem Modeling
- Physical Knots (1, 2, 3)
- Modeling cell-ECM interactions during mesodermal cell migration in the Drosophila embryo
- Line Profile Estimation for Laboratory Astrophysics
- Copula Models of Economic Capital for Insurance Companies
- Extending the method of signature curve to 3D surfaces and develop algorithms to characterize and recognize images corresponding to solid 3D objects
- Higher Mathematics for the Visual Learner: An Introduction to the Differential Analyzer
- Hierarchy in Herds: Modeling Dominance and Subordinance
- Exploring what happens to propagation time of a directed graph when the orientation of one edge of graph is reversed.
- Modeling non-equilibrium properties of a tornado layer.
- Error Correction and QR Codes
- Using numerical modeling to constrain the timing and duration of faulting in the Ama Drime Range, southernmost Tibet.
- Estimating the Probability of Cybersecurity Breach
- Copula Models of Economic Capital for Insurance Companies
- Modeling Biochemical Interactions Controlling the Cytoskeleton of Spreading Cells
- Implementing a signature-based characterization up to isometry of smooth surfaces
- Matrix Representations of Wavelet Transforms
- Hierarchy in Herds: Modeling Dominance and Subordinance
- Image De-Blurring for Spacecraft Navigation
- Modeling Actin Activation in Moving Cells
- Calculating the Probability of a Data Breach
- Learning Sasaki's theory of tornado genesis.
- An Analysis of Two Methods for Closing Open Chains and Identifying Their Knotting Behavior
- Coarse-Grain Model for Knotted Glueball Creation
- Multi-Soliton Solutions and their Properties
- Baseline Models of Portfolio Risk
- Characterizing Benign and Malignant Tumors using Applied Mathematics
- Exploring Discrete Wavelet Transforms
- Generating Arbitrary Force Profiles via Buoyancy
- Graphs and Rings
- Introduction to Bayesian Estimation and Copula Models of Dependence
- Matrix Approach: The Relationship between Lagrange's and Newton's Interpolations
- Modeling Cell Movement Using the Level Set Method
- Modeling Integrin Conservation in Cell-Substrate Interaction
- Propagation Time for Circulant Matrices
- A Study of Sasaki's Variational Theory of Supercell Formation and Tornadogenesis
- Thermodynamic Balance in Tornado Theory
- A Wavelet-Based Approach to Breaking CAPTCHAs
