Oleksandr Vlasiuk

Employment

2018–

Florida State University, Postdoc

Education

2013–18

Vanderbilt University, Ph.D.
Advisor: Edward B. Saff

2013

Université du Sud, Toulon-Var, Master I Mathématiques
Advisor: Lyudmyla Yushchenko

2009–2013

Kyiv Taras Shevchenko University, BSc.
Advisor: Igor Shevchuk
Recipient of the Ukrainian national scholarship throughout the whole duration of the studies, and of the scholarship of Kyiv Mayor in 2011-2013.

Research interests

See Publications.
Geometric measure theory, rectifiability; discretizing manifolds, configurations with bounded mesh ratio, discrepancy of random collections on manifolds.
Convex and computational geometry (mesh generation, Voronoi diagrams). Point clouds and applications.
Optimization algorithms (quasi-Newton type), energy landscapes, topology of energy surfaces.
High-performance computing, parallel architectures, GPU-based parallelization.
Measure concentration, in particular, large deviations and applications; stochastic modelling.
Mathematical physics, finite elements and finite difference schemes, in particular RBF-derived.

Computational skills

See Code.
C/C++, Python; Matlab, R, Mathematica
Git, CMake, UNIX environment, high-performance computing

Activities

Presentations

Multivariate Algorithms and their Foundations in Number Theory, Johann Radon Institute, Linz, November 2018
Texas Analysis and Mathematical Physics Symposium, Baylor University, October 2018
ICERM Semester Program: Point Configurations in Geometry, Physics and Computer Science, March 2018
Computational and Applied Mathematics seminar, Oak Ridge National Laboratory, January 2018
Analysis seminar, Florida State University, November 2017
Computational Methods and Function Theory, Lublin, July 2017
Joint Mathematics Meetings, Atlanta, January 2017
1st Northeastern Analysis Meeting, the College at Brockport, SUNY, October 2016
Optimal and random point configurations, Institut Henri Poincaré, Paris, June-July 2016, poster
Presentations at the Vanderbilt Analysis seminar on various topics: Cramér’s theorem (June 2017), Ball multiplier problem (April 2017), Equiangular tight frames (April 2016), Riesz energy with an external field (April 2015), etc.

Visits

Midwestern Workshop on Asymptotic Analysis, Indiana University in Bloomington, October 2015
Minimal Energy Point Sets, Lattices, and Designs, ESI, Vienna, October 2014
Recent Methods in Sphere Packing and Optimization (workshop), Oberwolfach, June 2014

Teaching

TA for single-variable calculus; taught at the Undergraduate seminar and the Vanderbilt math circle.
Assisted with graduate-level courses in: Analysis, Statistical learning.

Miscellanea

Review

Reviewer for: AMS Math Reviews, Journal of Approximation Theory, Constructive Approximation

Languages

English, Russian, Ukrainian — fluent; French, Polish — limited proficiency