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812-877-8391
rader[at]rose-hulman[dot]edu

Mathematics Faculty Expertise

 
 
Allen Broughton

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

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 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

William Butske

William (Bill) Butske, Ph.D.

Areas of Specialization:

  • Algebraic Geometry
  • Number Theory

Research Activities:

  • Endomorphism Rings of Jacobians
  • Galois Representations

Carlisle, Sylvia

Sylvia Carlise, Ph.D.

Areas of Specialization:

  • Mathematical Logic
  • Model Theory for Metric Structures and Continuous Logic

Research Activities:

  • Model theory of R-trees

Carlisle, Sylvia

Nathan Chenette, Ph.D.

Areas of Specialization:

  • Cryptography
  • Combinatorics
  • Algorithms

Research Activities:

  • Order-preserving 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

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

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

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 (2006-2012) - Modeling the Shape of a Cookie and Modeling the Baking Process

David Goulet

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

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

Green, William 140px

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

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, 1984-1985

Holden,-Josh---140

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

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

Leanne Holder, Ph.D.

Areas of Specialization:

  • Finite projective geometry

Research Activities:

  • Conic blocking sets
  • Sharply focused and Hyperfocused arcs
  • Secret sharing schemes

Isaia

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 Self-similarity
  • Perturbative Renormalization Group and ODEs
  • Numerical simulation of hyperbolic CLs

Tom Langley

Tom Langley, Ph.D.

Areas of Specialization:

  • Combinatorics
  • Algebra

Research Activities:

  • Symmetric functions
  • Algebraic combinatorics
  • Cwatsets

Industrial Experience:

  • Jet Propulsion Laboratory, Pasadena, CA, 1989-1993, electrical engineer.

Jeffery Leader

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

McSweeney, John 140px

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

McSweeney, John 140px

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

David Rader, Ph.D.

Areas of Specialization:

  • Operations Research
  • Linear and Discrete Optimization

Research Activities:

  • Quadratic 0-1 optimization
  • Sports scheduling
  • Discrete optimization

Reyes, Eric 140px

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

John Rickert, Ph.D.

Areas of Specialization:

  • Number theory
  • Diophantine approximations

Research Activities:

  • Simultaneous linear approximations
  • Norm form diophantine equations
  • Partition functions

Selby, Christina 140px

Christina Selby, Ph.D.

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

Yosi Shibberu

Yosi Shibberu, Ph.D.

Areas of Specialization:

  • Dynamics and Control Theory
  • Scientific Computation

Research Activities:

  • Discrete-Time Hamiltonian Dynamics
  • Structural Bioinformatics and Protein Dynamics
  • Hidden Markov Modeling

Tarrant , Wayne

Wayne Tarrant, Ph.D.

Areas of Specialization:

  • Financial mathematics
  • Mathematical economics
  • Econometrics
  • Computational communtative algebra

Research Activities:

  • Risk Measures
  • Financial Markets
  • Flat Tax in post-communist Europe