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S. Allen Broughton
Professor and Head of
Mathematics
(812) 877-8179

Michelle Prather
Department Secretary
(812) 877-8391

 
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Faculty Interests and Expertise
2011-12 roster

See also the faculty authors page.

S. Allen Broughton Riemann surfaces, differential geometry and topology, Lie groups, finite groups, imaging science, and singularity theory.
Kurt Bryan PDE's inverse and ill-posed problems, numerical methods for PDE's and integral equations, and to some extent optimization and homogenization for PDE's, and the modeling aspects and applications.
Bill Butske algebraic geometry, number theory, endomorphism rings of Jacobians, Galois representations.
Steve Carlson General topology (uniform spaces, proximity spaces, extensions of spaces), surface topology, fuzzy topology, and set theory.
Joe Eichholz

numerical analysis, biomedical imaging, finite element methods, inverse problems, scientific computing,

Diane Evans probability and statistics, operations research.
David Finn partial differential equations, differential geometry, and the application of partial differential equations and differential geometry to mathematical physics, continuum mechanics, and imaging science.
Steve Galinaitis integral equations and associated inverse problems, hysteresis modeling, development of practical models and controls for actuators that are based on shape memory alloys or piezoelectric materials.
Elton Graves numerical analysis, use of computer algebra systems in the classroom.
Ralph Grimaldi discrete mathematics - including combinatorics, graph theory, network theory, and applied algebra. in particular, applications in computer science (analysis of algorithms, data structures, computer architecture, and theory of computations.
Joshua Holden number theory and cryptography, in particular computational and algebraic number theory and applications.
Allen Holder operations research, mathematical programming with applications in medicine and biology
Leanne Holder finite projective geometries
Mark Inlow lack of fit tests, binary response models, robust general modeling techniques, biostatistics, statistical programming.
Vin Isaia intermediate asymptotic behavior of PDEs, group actions and self-similarity, perturbative renormalization group and ODEs, numerical simulation of hyperbolic CLs
Tanya Jaycay combinatorial semigroup theory, applications of algebra in cryptosystems algebraic combinatorics.
Tom Langley algebraic combinatorics.
Jeffery Leader numerical analysis, scientific computation, chaotic discrete dynamical systems, modeling.
David Rader discrete and combinatorial optimization; operations research.
John Rickert number theory, mathematics placement, problem solving competitions, and baseball statistical analysis.
Yosi Shibberu hamiltonian dynamics, structural bioinformatics, protein dynamics, hidden Markov modeling.
Zhixu Su Geometric Topology / Algebraic Topology, High dimensional manifolds, Surgery theory

This document was last modified: 07/20/2011
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