Research interest

My primary research interest lies in commutative algebra and its interaction with algebraic geometry. My research topics are

  1. Demailly's Conjecture & Chudnovsky's Conjecture: Lower bounds of Waldschmidt constant of homogeneous radical ideals, especially ideals corresponding to points.

  2. Containment: Containment of symbolic and ordinary power of homogeneous radical ideals, especially ideals corresponding to the points.

  3. Resurgence of fibre product of homogeneous ideals.

  4. Regularity of powers of ideals homogeneous ideals in standard graded algebra.

  5. Matroids and singularities.


Publications & Preprints

  1. 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. arxiv.org/abs/2004.11213.

  2. 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 arxiv.org/abs/2009.05022.

  3. 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 arxiv.org/abs/1901.07967.

  4. 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) arxiv.org/abs/1901.04425.

  5. S. Bisui and T.T. Nguyen(2022). Chudnovsky’s Conjecture and the stable Harbourne-Huneke containment for general points, arxiv.org/abs/2112.15260.

  6. S. Bisui, Z. Jiang, S. Maitra, T.T. Nguyen, and K. Schwede. Finding points on varieties with MACAULAY2. Submitted to the Journal of Software for Algebra and Geometery {arxiv.org/abs/2101.09573.

  7. S. Bisui, S. Cooper, M. Katz, S. Kirkland, S. Stern, and S. Werbowesky. The order of dominance of the edge ideals of graphs (Expected submission winter 2023).




Undergraduate Student Research Supervision.

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).