Research Statment
Research Information:

  • My research interests include Real and Harmonic Analysis, Partial Differential Equations, Geometric Measure Theory, and Validated Numerics.

  • I am part of a SQuaRE research group at the American Institute of Mathematics and our program is titled: "Validated Numerics for Harmonic Analysis and Partial Differential Equations", November10-14, 2014, November 15-19, 2015, November 14-18, 2016.

  • I completed a Master's thesis with Professor Nazih Nahlus entitled: "Ultra products and Quotients of Infinite Direct Products of Lie Algebras".


  • The Spectrum of Biharmonic Layer Potentials on Curvilinear Polygons, with I Mitrea, 20 pages, in preparation.

  • On the Mixed Boundary Value Problem for the Lame system in Two-Dimensions, with I. Mitrea and W. Tucker, in preparation.

  • Spectral Properties of Singular Integral Operators in Two Dimensional Uniformly Rectifiable Do- mains, with I. Mitrea and M. Mitrea, 10 pages, in preparation.

Grants and Awards:

  • The Doctoral Dissertation Completion Grant, Temple University, Spring 2017.

  • Graduate Student Travel Grant to the Joint Mathematics Meetings, Atlanta, GA, January 4-7, 2017.

  • The 2015-2016 Excellence in Teaching by a Graduate Student Award in the Department of Mathematics.