Sergiy Borodachov, Ph.D.

Biography

Dr. Sergiy Borodachov 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 discrete minimum energy and polarization problems, optimal algorithms of recovery of functions and approximate integration, and fractal analysis. He is the author or a co-author of 38 research publications and close to 110 presentations at research conferences, seminars, and colloquia. Dr. Borodachov is a co-author of the book “Discrete Energy on Rectifiable Sets” which was published by Springer© in 2019.

Recent Publications

• Energy bounds for weighted spherical codes and designs via linear programming (with P. Boyvalenkov, P. Dragnev, D. Hardin, E. Saff, and M. Stoyanova), Anal. Math. Phys. 15, 19 (2025).
• Absolute Minima of Potentials of a Certain Class of Spherical Designs, In: Applied and Numerical Harmonic Analysis, Volume dedicated to Edward Saff’s 80-th birthday, Springer, 2025 (A. Martinez-Finkelshtein, A. Stokols, D. Bilyk, E. Jacob - Eds), 101--129.
• Min-max polarization for certain classes of sharp configurations on the sphere, Constructive Approximation, 60 (2024), 237–252.
• Odd strength spherical designs attaining the Fazekas--Levenshtein bound for covering and universal minima of potentials, Aequationes Mathematicae, 98 (2024) (no. 2), 509--533.
• Absolute Minima of Potentials of Certain Regular Spherical Configurations, Journal of Approximation Theory, 294 (2023), 105930.
• Polarization problem on a higher-dimensional sphere for a simplex, Discrete & Computational Geometry, 67 (2022), 525--542.