My research interests are in the overlap of algebraic geometry, singularity theory and commutative algebra. The main focus of my work is to study how algebraic varieties and morphisms change as they vary in families, with applications to the geometry and topology of complex analytic singularities.

Papers and preprints:

Rigidity in dimension 2 (in preparation).

A Plücker formula for curves (with B. Teissier) (in preparation). 

The Milnor fiber of a smoothable curve (with Pablo Portilla) (in preparation). 

The complete intersection discrepancy of a curve II: Families of cuves (with A. Bengus-Lasnier

and T. Gaffney). arXiv.

The complete intersection discrepancy of a curve I: Numerical Invariants. With an Appendix by Marc Chardin.

 (with A.Bengus-Lasnier). arXiv

A valuation theorem for Noetherian rings, Michigan Math. Journal, vol. 73, issue 4, 2023, 843-851. arXiv

Local volumes, equisingularity and generalized smoothability (submitted). arXiv

The evolving notion of multiplicity as an invariant in singularity theory, Invited Address at the 51st Spring Conference of the Union of Bulgarian Mathematicians, April 5-9, 2022, 101--111.

Algebraic theory of continuity for meromorphic functions (submitted).

Associated primes and integral closure of Noetherian rings, Journal of Pure and Applied Algebra, 225 Issue 5, 2021. arXiv

The A_f condition and relative conormal spaces for functions with non-vanishing derivative, Int. J. Math. vol. 30, no. 10, (2019), 12 pages. arXiv  (joint with T. Gaffney) 

Associated points and integral closure of modules, Journal of Algebra, 508 2018, pp. 301-338. arXiv

Pairs of modules and determinantal isolated singularities. arXiv (joint with T. Gaffney)

On the solvability of p-adic diagonal equations, MIT UJM 8 2007, pp. 111-124. pdf

Some sufficient conditions for the solvability of p-adic polynomial equations, Proceedings of the Thirty Fourth Spring Conference of the Union of Bulgarian Mathematicians, 2005, pp. 102--107. pdf (joint with Vesselin Dimitrov) 

Other papers: 

The impact and progression of the COVID-19 pandemic in Bulgaria in its first two years, Vaccines  2022, 10 (11): 1901. In the special issue "SARS-CoV-2 Variants Research and Ending the COVID-19 Pandemic". (joint with G. Marinov and M. Mladenov).

SARS-CoV-2 reinfections during the first three major COVID-19 waves in Bulgaria  PLoS ONE 17(9): e0274509. (joint with G. Marinov, M. Mladenov, I. Alexiev).

The demographic and geographic impact of the COVID pandemic in Bulgaria and Eastern Europe in 2020 (with G. Marinov and M. Mladenov), Scientific Reports 12, Article number: 6333 (2022).