Pure Mathematics Research
Pure Mathematics
My primary research interests are in Commutative Algebra and in particular:
- Closure/Interior operations and structures induced on rings and modules via these operations
- Chariacteristic p methods in commutative algebra
- Local Cohomology
- Differential operators on affine semigroup rings
Prof. Zinchenko's research is in analysis and mathematical physics with focus on problems in approximation and spectral theory. His work in spectral theory concerns spectral properties and inverse problems for Sturm-Liouville, Schrodinger, and Jacobi operators. Zinchenko's work in approximation theory focuses on properties of extremal polynomials such as Chebyshev and orthogonal polynomials.
A list of recent publications is available on Google Scholar.
