Research interest
Research interest
My primary research interest is commutative algebra and its interaction with algebraic geometry. I am interested in the following topics.
Interpolation Problems, Containment of symbolic and ordinary powers of ideals, Resurgence, Rational Powers, Rees Valuations.
S. Bisui and H. Hu. Symbolic Powers via extension, Submitted, arxiv.org.
S. Bisui and D. Mahato. Demailly's Conjecture for general and very general points, Submitted, arxiv.org;
S. Bisui, S. Das, T.H. Hà, and J. Montaño. Rational Powers, Invariant Ideals, and the Summation Formula, Submitted, arxiv.org
S. Bisui and T.T. Nguyen. Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points, Accepted in Collectanea Mathematica, arxiv.org.
S. Bisui and T.T. Nguyen. Chudnovsky's Conjecture and the stable Harbourne-Huneke containment for general points; Journal of Algebra, 649 (2024), 245–269. Journal Link
S. Bisui, Z. Jiang, S. Maitra, T.T. Nguyen, and K. Schwede. Finding points on varieties with MACAULAY2. Journal of Software for Algebra and Geometry, 13.1 (2023): 33-43, Journal link.
S. Bisui, E. Grifo, H.T. Hà, and T.T. Nguyen. Chudnovsky's conjecture and the stable Harbourne-Huneke containment. Transactions of the American Mathematical Society, Series B. 2022;9(12):371-94, Journal Link
S. Bisui, E. Grifo, H.T. Hà, and T.T. Nguyen. Demailly’s conjecture and the containment problem. Journal of Pure and Applied Algebra, 226(4):106863, 2022, Journal Link.
S. Bisui, H.T. Hà, A.V. Jayanthan, and A.C. Thomas. Resurgence numbers of fiber products of projective schemes. Collectanea Mathematica, 72.3 (2021): 605-614, Journal Link.
S. Bisui, H.T. Hà, and A.C. Thomas. Fiber invariants of projective morphisms and regularity of powers of ideals. Acta Mathematica Vietnamica 45, 183–198 (2020), Journal Link.
Undergraduate Student Research Supervision.
Our paper is in preparation and we expect to submit in Fall 2024
1. Marshall Kaatz, University of Manitoba, May-August, 2022 (co-mentored with Dr. Susan Cooper, Dr. Stephen Kirkland, and Stephen Stern).
2. Serena Werbowesky, University of Manitoba, May-August, 2022 (co-mentored with Dr. Susan Cooper, Dr. Stephen Kirkland, and Stephen Stern).