Research

Research interests

  • Singular integral operators
  • Fredholm theory and index problems
  • Banach algebras of operators
  • Boundary value problems with shift
  • Curves with geometric irregularities and cusp geometries
  • Wiener–Hopf and Mellin operator methods
  • Symbolic operator calculus

Doctoral research

Working topic: Algebras of Singular Integral Operators with Piecewise Quasicontinuous Data on Curves with Geometric Irregularities and Their Applications.

A central case study concerns Haseman boundary value problems with shift on pure cusp stars. This work combines operator theory, complex analysis, local principles, and symbolic computation.

Research statement

Add a concise two- or three-paragraph research statement here. It should explain:

  1. the mathematical problem;
  2. why it matters;
  3. the methods you use;
  4. your current results and open directions.