I am now an Assistant Professor at Ithaca College http://faculty.ithaca.edu/vbabenko/

Graduate Student at the University of Utah

President of AWM student chapter (The Association for Women in Mathematics) at the University of Utah (2014-present).


Education:
2015: MS, Mathematics, The University of Utah, USA
2011: MS, Mathematics, Dnepropetrovsk National University, Ukraine
2010: BS, Mathematics, Dnepropetrovsk National University, Ukraine

I am a 5th year PhD student in Applied Mathematics, interested in analysis in metric spaces, approximation theory, numerical analysis and integral equations. In particular I am working in set-valued and fuzzy-valued analysis and its applications.

My advisor is Prof. Peter Alfeld. Title of my thesis: "Numerical analysis in L-spaces".

In my spare-time I enjoy swimming, hiking and painting.


Curriculum Vitae

Currently teaching: 1090-005 Business Algebra

Publications:

  • Vira Babenko, Theorems of Existence and Uniqueness for Nonlinear Fredholm and Volterra Integral Equations for Functions with Values in L- spaces, submitted PDF
  • Vira Babenko, Numerical methods for solution of Volterra and Fredholm integral equations for functions with values in L-spaces, submitted PDF
  • Babenko Vira, Babenko V. F., Polischuk M. V., Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials, submitted arXiv:1504.07307
  • Babenko Vira, Babenko V.F., Polischuk M.V. On optimal recovery of integrals of set-valued function, Ukrainian Mathematical Journal, 2015, vol. 67(9), pp.1163-1171 PDF
  • Babenko Vira, Babenko V.F., Polischuk M.V. On the optimal recovery of integrals of set-valued functions, Reports of the National Academy of Science of Ukraine, 2014, 11, pp. 7-10
  • Babenko Vira, Optimization of interval formulas of approximate integration of set-valued functions, monotonic with respect to inclusion, Ukrainian mathematical journal 2011, vol. 63, № 11, p.1565 - 1569 PDF
  • Babenko Vira, Babenko V.F. Optimization of approximate integration of set-valued functions, monotone with respect to an inclusion, Ukrainian mathematical journal 2011, vol. 63, № 2, p.147 - 155 PDF
  • Babenko Vira, Integer triangles, In Mathematics World 2007, vol.13, №1, p.37-40 PDF

Manuscripts in preparation:

  • Vira Babenko, Numerical methods for solving nonlinear Volterra and Fredholm integral equations in L-spaces, in preparation
  • Vira Babenko, Approximation of functions with values in L-spaces by adapted classical operators, in preparation

Conference and Seminar Presentations:
  • 15th International Conference of Approximation Theory, San Antonio, May 2016
  • AMS Spring Western Sectional Meeting, Salt Lake City, April 2016
  • Joint Mathematics Meeting, Seattle, January 2016: Optimization and Numerical Analysis of Set-Valued or Fuzzy-Valued functions - A Unified Approach and Applications
  • Emory University, Department of Mathematics and Computer Science, October 2015: Set-Valued and Fuzzy Numerical Analysis: Unified Approach and Applications
  • Georgia Institute of Technology, School of Mathematics, October 2015: Numerical Analysis in Metric Spaces
  • Kennesaw State University, Department of Mathematics and Statistics, October 2015: Mathematical model of DBS as a treatment for neurological disorders
  • University of Utah, Applied Mathematics Seminar, September 2015: Numerical Analysis of Set-Valued and Fuzzy-Valued functions - A Unified Approach and Applications
  • International Conference "Bogolyubov readings DIF-2013 Differential equations, theory of functions and their applications", Sevastopol June 2013: "Optimization of approximate integration of multi-valued functions"
  • International Conference in Modern Analysis, Donetsk June 2011: "On the best interval quadrature formulas for some classes of multi-valued functions"
  • International Conference "Approximation Theory and Applications", Dnepropetrovsk June 2010: "Optimization of approximate integration of set-valued functions"
  • 4th regional conference of young scholars, Zaporozh'e April 2006: "Integer triangles"

Other Presentations:
  • Undergraduate Colloquium University of Utah (December 2015): Approximation Theory and its main Problems.
  • AWM Student Chapter (November 2015): Mathematics of String Art Workshop.
  • Science Day at the University of Utah (November 2015): Mathematical model of an infection outbreak.
  • Undergraduate Colloquium University of Utah (March 2015): Deep Brain Stimulation for Parkinson disease.
  • AWM Student Chapter (December 2014): Snowflake Workshop: Mathematics of Fractals.
  • Science Day at the University of Utah (November 2014): Mathematics of Sudoku
  • Undergraduate Colloquium University of Utah (October 2014): When Zombies attack, or Mathematical model of doomsday scenario.
  • AWM Student Chapter (April 2014): Mathematics of Sudoku.