My research interest is mainly in Mathematical Finance and Stochastic Analysis.
In particular, I am working on  models for option pricing.

Publications

1. Polynomial Densities and Application in Financial Modelling , Masters Thesis.

2. Invariant subspaces of super-left Commutants, 
Proc. of the Amer. Math. Soc., 137 (2009) 1357--1361.  PDF 

3. Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces, with V. Troitsky. Positivity, 12 (2008), no. 2, 193--208. PDF

4. Martingales in Banach lattices II, with V. Troitsky. Positivity, to appear. PDF

5. Bounded indecomposable semigroups of non-negative matrices, with A.I.Popov, H.Radjavi, E.Spinu, and A.Tcaciuc, and V. Troitsky. Positivity, to appear. PDF
 
6. Invariant subspaces of positive operators & martingales in Banach lattices, PhD Thesis, 2009. PDF