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Allen Broughton
Areas of Specialization:
Research and Scholarship Activities:
Courses Taught and Undergraduate Research:
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Calculus, Differential Equations, Discrete Mathematics, Linear Algebra
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Advanced: Parallel Computing, Mathematics of Image Processing
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Kurt Bryan
Areas of Specialization:
- Applied mathematics and modeling
- Partial differential equations and inverse problems
- Numerical analysis
Research Activities:
- Mathematical models and inversion algorithms for non-destructive testing of materials using electromagnetic and thermal methods
Industrial Experience:
- Blount Industries, 1984-1990, statistician/mathematician
- Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1990-1994, staff scientist/consultant
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William (Bill) Butske
Areas of Specialization:
- Algebraic Geometry
- Number Theory
Research Activities:
- Endomorphism Rings of Jacobians
- Galois Representations
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Sylvia Carlise
Areas of Specialization:
- Mathematical Logic
- Model Theory for Metric Structures and Continuous Logic
Research Activities:
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Joseph Eichholz
Areas of Specialization:
- Numerical Analysis
- Galerkin Methods
- Scientific Computing
Research Activities:
- Inverse problems, specifically those related to biomedical imaging
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Diane Evans
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
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David Finn
Areas of Specialization:
- Partial Differential Equations
- Differential Geometry
- Calculus of Variations
- Geometric Modelling
- Imaging Science
Research Activities:
- Applications of Nonlinear Elliptic Partial Differential Equations to Differential Geometry, Mathematical Physics and Imaging Science
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Dave Goulet
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
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Elton Graves
Areas of Specialization:
- Computer graphics
- Use of computers in undergraduate courses
- Numerical Analysis
- Mathematics of sustainability
- Maple
Research Activities:
- Computer-drawn contour maps using microcomputers
- Computer algebra systems as they relate to undergraduate education
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William Green
Areas of Specialization:
- Partial Differential Equations, Harmonic Analysis, Mathematical Physics
Research Activities:
- Analysis of dispersive partial differential equations, particularly Schrodinger's equation.
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Ralph Grimaldi
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, 1984-1985
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Joshua Holden
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
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Allen Holder
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.
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Leanne Holder
Areas of Specialization:
- Finite projective geometry
Research Activities:
- Conic blocking sets
- Sharply focused and Hyperfocused arcs
- Secret sharing schemes
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Mark Inlow
Areas of Specialization:
- Generalized Linear Models
- Design of Experiments/Six Sigma
- Modern/Nonparametric Regression Methods, e.g., neural networks
- Times Series Analysis/Signal Processing
Research Activities:
- Generalized Linear Model Tests/Diagnostics
- Measurement Error Models
- Statistics/Six Sigma Education for Engineers
Industrial Experience:
- Stata Corporation, 1997-1999, Statistical consultant and software developer
- DuPont Corporation, 1997, Statistics and quality control internship
- Scientific Applications Internation Corporation (SAIC), 1992-1994, Statistician & database manager
- Geo-Centers, Inc., 1990-1992, Statistical consultant for Navy Health Research Center (NHRC)
- Navy Personnel Research and Development Center (NPRDC), 1989-1990, GS-9 Statistician
- San Diego State Foundation, 1987-1989, Statistical programmer for NHRC and NPRDC
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Vincenzo Isaia (Vin)
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 Self-similarity
- Perturbative Renormalization Group and ODEs
- Numerical simulation of hyperbolic CLs
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Tom Langley
Areas of Specialization:
Research Activities:
- Symmetric functions
- Algebraic combinatorics
- Cwatsets
Industrial Experience:
- Jet Propulsion Laboratory, Pasadena, CA, 1989-1993, electrical engineer.
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Jeffery Leader
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
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John McSweeney
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
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David Rader
Areas of Specialization:
- Operations Research
- Linear and Discrete Optimization
Research Activities:
- Quadratic 0-1 optimization
- Sports scheduling
- Discrete optimization
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Eric Reyes
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
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John Rickert
Areas of Specialization:
- Number theory
- Diophantine approximations
Research Activities:
- Simultaneous linear approximations
- Norm form diophantine equations
- Partition functions
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Barbara Sanborn
Areas of Specialization:
- Differential Geometry, Lie Groups, Mathematical Physics, Condensed Matter Physics
Research Activity:
- Kinetic Equations, Applications of Symplectic Geometry and Topology in Physics
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Christina Selby
Areas of Specialization:
- partial differential equations
- differential geometry
- applied mathematics
Research Activities:
- Carnot-Caratheodory Geometry
- Geometric camera calibration
Industrial Experience:
- The Johns Hopkins University Applied Physics Laboratory, 2006-2012, Space Department and Asymmetric Operations Department
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Yosi Shibberu
Areas of Specialization:
- Dynamics and Control Theory
- Scientific Computation
Research Activities:
- Discrete-Time Hamiltonian Dynamics
- Structural Bioinformatics and Protein Dynamics
- Hidden Markov Modeling
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