Richard A. Redner

Richard Redner

Associate Dean of Research and Graduate StudiesProfessorKEP U343  LH 201A
918-631-2986 & 918-631-2634
rredner@utulsa.edu

As an applied mathematician I have been involved in the application of mathematics and statistics in remote sensing, computer graphics, geophysics and statistical genetics. Most recently I have joined the Institute of Bioinformatics and Computational Biology, where I hope that my experience with optimization theory, splines and statistics will be of value as we work to better understand the human brain and how it works.

Education and Degrees Earned

  • Ph.D. Mathematics - University of Houston 1977
  • M.S. Mathematics – University of Houston 1976
  • B.S. Mathematics and Physics – Guilford College 1974 
     

Areas of Research Focus

  • Optimization Theory
  • The Theory of Splines and their Application
  • Mathematical Statistics and Bioinformatics

Previous Teaching Experience

  • Associate Chairman of Mathematical Sciences, 1986-1996
  • I have been at TU since first teaching summer school in 1980.

Previous Relevant Work Experience

  • National Research Council Associate, May 1978 - May 1980

Professional Affiliations

  • Member of SIAM - Society for Industrial and Applied Mathematics
  • Member of NCURA – National Council of University Research Administrators

Courses Taught at TU

  • Advanced Calculus I (MATH 4003)
  • Discrete and Integral Transforms (MATH 5353)
  • Introduction to Mathematics (MATH 1001)
  • Numerical Optimization Theory (MATH 5253)

Awards & Recognition

  • Mortar Board Professor of the year, 1990
  • The University of Tulsa Outstanding Teacher of the Year, 1992
  • Yondan (4th degree black belt) in Judo, Pan American Judo Union referee (inactive). Adrea Bregman Service Award from the Oklahoma Judo Association, 1996.

Publications

  • A note on the consistency of the maximum likelihood estimate for non-identifiable distribution,
    Annals of Statistics, 9, No. 1, (1981), pp. 225-228.
  • A note on the use of non-linear filtering in computer graphics,
    with Mark Lee, IEEE Computer Graphics and Applications, (10), 3, (1990), pp. 23-29.
  • An improved method for gas lift allocation optimization,
    with N. Nishikiori, D.R. Doty and Z. Schmidt, Proceedings of the 64 Annual SPE meeting (1989), pp. 105-118. Also published in the Journal of Energy Resources Technology of the American Society of Mechanical Engineers (117), 2, (June 1995), pp. 87-92.
  • Asymptotic distribution of weighted U-statistics of degree two,
    with Kevin O'Neil, The Annals of Probability, Vol. 21, No. 2, (1993), pp. 1159-1169.
  • Comparison of Novel and Existing Methods for Detection of Linkage Disequilibrium Using parent-Child Trios in the GAW12 Genetic Isolate Simulated Data,
    with Joan E. Bailey Wilson, …, Richard A. Redner, …, Genetic Epidemiology 2001, supp1. 378-383.
  • Convergence Rates for Uniform B-Spline Density Estimators on Bounded and Semi-Infinite Domains,
    with Riad Masri and Richard A. Redner, J. of Nonparametric Statistics, 17: 555-582, 2005.
  • Convergence Rates for Uniform B-Spline Density Estimators Part I: One-Dimensions,
    SIAM Journal on Scientific Computation, 29, (6): 1929-1953,1999.
  • Convergence Rates for Uniform B-Spline Density Estimators Part II: Multiple-Dimensions,
    the Journal on Nonparametric Statistics, 12:753-777, 2000.
  • Estimation of Linkage and Association from Allele Transmission Data,
    with James D. Malley, Richard A. Redner, Thomas A. Severini, Judith A. Badner, Sinisa Pajevic and Joan E. Bailey Wilson, Biometrical Journal, 45: 349-366, 2003.
  • Function Estimation Using Partitions of Unity,
    with Kevin Gehringer, Communications in Statistics - Theory and Methods, Vol. 23, No. 7 (1994), pp. 2059-2076.