Although my original research interests lie in Commutative Algebra with its application in Algebraic Geometry, I have also been interested in research in Mathematical Pedagogy recently. In particular,
Â
Motivated by Chudnowsky's Conjecture, I have worked 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
Scholarship of Teaching and Learning: Impact on grades and Self-efficacy of students in relation to mandatory HWs versus optional checkpoints in a Calculus class.
Bayesian Inference with a view towards first two years of College.
(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