Research

My research interests lie in Commutative Algebra with its application in Algebraic Geometry. In particular,

Motivated by Chudnowsky's Conjecture, I work on Ideal containment problems (among symbolic and ordinary powers of ideals),
Stability index of algebraic invariants such as Regularity of powers of Ideals.
Estimation of Resurgence, Asymptotic Resurgence, Waldschmidt constant of various classes of ideals(defining low dimensional schemes, fiber product of schemes).
Containment properties of Steiner Configuration of points in a projective space

(with S. Bisui, T. Ha) Fiber Invariants of Projective Morphisms and Regularity of Powers of Ideals, Acta Mathematica Vietnamica, 2020, 45, 183-198
(with S. Bisui, T. Ha, A.V Jayanthan) Resurgence numbers of fiber product of projective schemes, arXiv:1901.07967v3 [math.AG] (To appear in Collectanae Mathematica)
(with E. Guardo, G. Favacchio, L. Milazzo) Steiner Configuration of Points: Containment and Coloring, Mathematics 2021, 9(3), 210; https://doi.org/10.3390/math9030210

In Progress:

(with E. Ballico, G. Favacchio, E. Guardo) Waldschmidt Constant of Ideals defining points in multi-projective spaces.