Sergiy Borodachov, Ph.D.

Associate Professor

Dr. Sergiy Borodachov

Contact Information

PHONE
OFFICE
7800 York Road, Room 354

Education

Ph.D., Mathematics
Vanderbilt University
M.S., Pure Mathematics
Dnepropetrovsk National University

Areas of Expertise

Analysis
Applied Mathematics
Approximation Theory
Geometric Measure Theory

Biography

Dr. Sergiy Borodachov, a native of Ukraine, received his Ph.D. degree in Mathematics from Vanderbilt University in 2006 and his Master’s degree in Pure Mathematics from Dnepropetrovsk National University (Ukraine) in 1997. He joined Towson University in the Fall of 2008 after holding a post-doctoral position at the Georgia Institute of Technology. He conducts his research in optimal algorithms of recovery of functions and approximate integration, discrete minimum energy problems, fractal analysis, and quantization problems. He is the author or a co-author of 31 research publications and 80 presentations at research conferences, seminars, and colloquia. Dr. Borodachov is currently finishing the book “Minimal Energy Problems on Rectifiable Sets” jointly with Drs. E. Saff and D. Harding (both from Vanderbilt University), which was accepted for publication by Springer©

Recent Publications

  • Optimal discrete measures for Riesz potentials (with D. Hardin, A. Reznikov, and E. Saff), to appear in the Transactions of the AMS.
  • Pointwise optimal multivariate spline method for recovery of twice differentiable functions on a simplex, to appear in Journal of Complexity.
  • Low complexity methods for discretizing manifolds via Riesz energy minimization (with E. Saff and D. Hardin), Foundations of Computational Mathematics 14 (2014), 1173-1208.
  • A topological separation condition for fractal attractors (with T. Bedford and J. Geronimo), Journal of Fractal Geometry 1 (2014), 243-271.
  • Asymptotics of discrete Riesz d-polarization on subsets of d-dimensional manifolds (with N. Bosuwan), Potential Analysis 41 (2014), 35-49.