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, Prof. Redner has been involved in the application of mathematics and statistics in remote sensing, computer graphics, geophysics and statistical genetics. Most recently, he joined the Institute of Bioinformatics and Computational Biology, where he hopes that his 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

  • Professor, The University of Tulsa (1980-present)
  • Associate Chairman of Mathematical Sciences, The University of Tulsa (1986-1996)

Previous Relevant Work Experience

  • National Research Council Associate (1978-1980)

Professional Affiliations

Courses Taught at TU

  • Advanced Calculus I (MATH 4003)
  • Differential Equations (MATH 3073)
  • Discrete and Integral Transforms (MATH 7353)
  • Introduction to Advanced Mathematics (MATH 3033)
  • Introduction to Complex Functions (MATH 4133)
  • Introduction to Partial Differential Equations (MATH 4143)
  • Introduction to Topology Math (MATH 4083)
  • Linear Algebra and Matrix Theory (MATH 4123)
  • Modern Algebra (MATH 3553)
  • Numerical Optimization (MATH 7253)

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.