


Allen Broughton, Ph.D.
Areas of Specialization:
 Topology /Differential Geometry
 Singularity theory
 Algebra
 Imaging Science
Research and Scholarship Activities:
Courses Taught and Undergraduate Research:
 Calculus, Differential Equations, Discrete Mathematics, Linear Algebra
 Advanced: Parallel Computing, Mathematics of Image Processing
 Undergraduate Research: Tilings of Surfaces



Kurt Bryan, Ph.D.
Areas of Specialization:
 Applied mathematics and modeling
 Partial differential equations and inverse problems
 Numerical analysis
Research Activities:
 Mathematical models and inversion algorithms for nondestructive testing of materials using electromagnetic and thermal methods
Industrial Experience:
 Blount Industries, 19841990, statistician/mathematician
 Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 19901994, staff scientist/consultant



William (Bill) Butske, Ph.D.
Areas of Specialization:
 Algebraic Geometry
 Number Theory
Research Activities:
 Endomorphism Rings of Jacobians
 Galois Representations



Sylvia Carlise, Ph.D.
Areas of Specialization:
 Mathematical Logic
 Model Theory for Metric Structures and Continuous Logic
Research Activities:



Nathan Chenette, Ph.D.
Areas of Specialization:
 Cryptography
 Combinatorics
 Algorithms
Research Activities:
 Orderpreserving encryption
 Searchable encryption
Industrial Experience:
 Center for Communications Research summer programs 2011, 2013
 Cryptography consultant for Miri Systems 2012
 National Security Agency graduate math program 2009



Joseph Eichholz, Ph.D.
Areas of Specialization:
 Numerical Analysis
 Galerkin Methods
 Scientific Computing
Research Activities:
 Inverse problems, specifically those related to biomedical imaging



Diane Evans, Ph.D.
Areas of Specialization:
 Probability and Statistics
 Statistical Process Control
 Six Sigma
Research Activities:
 Probability, Quality Control, Online Education, Statistics Education
Industrial Experience:
 Consulting with InDOT
 Diversified Systems, Inc., Indianapolis



David Finn, Ph.D.
Areas of Specialization:
 Partial Differential Equations
 Differential Geometry
 Calculus of Variations
 Applications to Mathematical Physics, Geometric Modeling and Imaging Science
Research Activities:
 Applications of Nonlinear Differential Equations in Mathematical Physics and Geometry
 Modeling the Baking Process (Material Science, Continuum Mechanics, and Differential Equations
Courses Taught and Undergraduate Research
 Calculus, Differntial Equations, Vector Calculus, Differential Geometry, Tensor Calculus, Partial Differential Equations, Continuum Mechanics (assuming it is taught this year)
 REU (20062012)  Modeling the Shape of a Cookie and Modeling the Baking Process



Dave Goulet, Ph.D.
Areas of Specialization:
 Mathematical Biology and Physiology
 Asymptotic and Perturbation Methods
 Mathematical Modeling
Research and Scholarship Activities:
 Cellular and Molecular Biology
 Systems Biology
 Asymptotic Methods for Delay Differential Equations
Courses Taught and Undergraduate Research:
 Calculus, Differential Equations, Mathematical Biology
 Numerical Simulations of a Chromatography Column
 Modeling a Genetically Modified Map Kinase Pathway in S. cerevisiae



Elton Graves
Areas of Specialization:
 Computer graphics
 Use of computers in undergraduate courses
 Numerical Analysis
 Mathematics of sustainability
 Maple
Research Activities:
 Computerdrawn contour maps using microcomputers
 Computer algebra systems as they relate to undergraduate education



William Green, Ph.D.
Areas of Specialization:
 Partial Differential Equations, Harmonic Analysis, Mathematical Physics
Research Activities:
 Analysis of dispersive partial differential equations, particularly Schrodinger's equation.



Ralph Grimaldi, Ph.D.
Areas of Specialization:
 Discrete mathematics
 Combinatorics
 Graph Theory
Research Activities:
 Combinatorics and graph theory
 Author of: Discrete and Combinatorial Mathematics: An Applied Introduction (1985), 2nd edition (1989), 3rd edition (1994), 4th dition (1999)
Industrial Experience:
 Applied Computing Devices, Inc., computer programmer/systems analyst, 19841985



Joshua Holden, Ph.D.
Areas of Specialization:
 Number theory
 Cryptography
 Algebra
Research Activities:
 Computational number theory
 Algebraic number theory
 Applications of number theory to cryptography
Industrial Experience:
 Vadium Technology, Inc., cryptography consultant, 2003
Undergraduate Research:



Allen Holder, Ph.D.
Areas of Specialization:
 Mathematical Programming and Applications in Medicine and Biology
Research Activities: (recent with undergraduates)
 Radiotherapy Optimal Design
 Beam Selection in Radiotherapy Design
 Diversity Graphs
 Optimal Treatments for Photodynamic Therapy
 Systems Biology for Mathematical Programmers
Industrial Experience:
 Research affiliations with Indiana School of Medicine, the Cancer Therapy Research Center in San Antonio, and the Huntsman Cancer Center in Salt Lake.



Leanne Holder, Ph.D.
Areas of Specialization:
 Finite projective geometry
Research Activities:
 Conic blocking sets
 Sharply focused and Hyperfocused arcs
 Secret sharing schemes



Vincenzo Isaia (Vin), Ph.D.
Areas of Specialization:
 Partial Differential Equations (including flow through porous media)
 Hyperbolic Conservation Laws
 Mathematical Finance
Research Activities:
 Intermediate Asymptotic Behavior of PDEs, Group Actions and Selfsimilarity
 Perturbative Renormalization Group and ODEs
 Numerical simulation of hyperbolic CLs



Tom Langley, Ph.D.
Areas of Specialization:
Research Activities:
 Symmetric functions
 Algebraic combinatorics
 Cwatsets
Industrial Experience:
 Jet Propulsion Laboratory, Pasadena, CA, 19891993, electrical engineer.



Jeffery Leader, Ph.D.
Areas of Specialization:
 Numerical Analysis
 Scientific computation
Research Activities:
 Computational Genetics
 Author of: Numerical Analysis and Scientific Computation (2004)
Industrial Experience:
 Summer Research Fellowships at Army Research Lab., Naval Surface Warfare Center, Air Force Research Lab



John McSweeney, Ph.D.
Areas of Specialization:
 Probability theory, stochastic processes, random networks, and applications to biosciences
Research Activities:
 Stochastic epidemics on networks
 Modeling sleep/wake cycling in neuronal networks
 Stochastic coalescent/branching models in population dynamics
 Stochastic modeling of chemical reaction systems



Mark Panaggio, Ph.D.
Areas of Specialization:
 Applied Mathematics
 Nonlinear Dynamics
 Complex Systems
Research Activities:
 Analyzing and predicting synchronization and pattern formation in networks of coupled oscillators
 Mathematical modeling of social, biological and transportation systems



David Rader, Ph.D.
Areas of Specialization:
 Operations Research
 Linear and Discrete Optimization
Research Activities:
 Quadratic 01 optimization
 Sports scheduling
 Discrete optimization



Eric Reyes, Ph.D.
Areas of Specialization:
 Variable Selection
 Methods for Observational Data Analysis
Research Activities:
 Variable Selection in the Presence of Missing Data
 Variable Screening
 Applications to Cardiovascular Research
Industrial Experience
 Duke Clinical Research Institute, statistical consultant for manuscripts



John Rickert, Ph.D.
Areas of Specialization:
 Number theory
 Diophantine approximations
Research Activities:
 Simultaneous linear approximations
 Norm form diophantine equations
 Partition functions



Christina Selby, Ph.D.
Areas of Specialization:
 partial differential equations
 differential geometry
 applied mathematics
Research Activities:
 CarnotCaratheodory Geometry
 Geometric camera calibration
Industrial Experience:
 The Johns Hopkins University Applied Physics Laboratory, 20062012, Space Department and Asymmetric Operations Department



Yosi Shibberu, Ph.D.
Areas of Specialization:
 Dynamics and Control Theory
 Scientific Computation
Research Activities:
 DiscreteTime Hamiltonian Dynamics
 Structural Bioinformatics and Protein Dynamics
 Hidden Markov Modeling



Wayne Tarrant, Ph.D.
Areas of Specialization:
 Financial mathematics
 Mathematical economics
 Econometrics
 Computational communtative algebra
Research Activities:
 Risk Measures
 Financial Markets
 Flat Tax in postcommunist Europe

