Paola BONACINI

Associate Professor of Geometry [MAT/03]

Paola Bonacini is associate professor in Geometry at the Department of Computer Science and Mathematics of the University of Catania since June 2021. She teaches Linear Algebra and Geometry for the undergraduate degrees in Computer Engineering and Electronics Engineering and in Computer Science. Her research area of interest is Discrete Mathematics, mainly Design Theory. She also made reaserch in Algebraic Geometry, specifically regarding lifting problems in codimension 2 and zero-dimensional schemes in P1xP1.

SELECTED PUBLICATIONS 

  1. Paola Bonacini, “On the plane section of an integral curve in positive characteristic”, Proceedings of the American Mathematical Society, 136 (2008), no. 7, 2289–2297, Amer. Math. Soc. 201 Charles St. Providence, RI 02904-2294 USA;
  2. Paola Bonacini, “Laudal’s Lemma in positive characteristic”, Journal of Algebraic Geometry, 18 (2009), no. 3, 459–475, Amer. Math. Soc. 201 Charles St. Providence, RI 02904-2294 Univ. Press P.O. Box 10641 General Post Office Hong Kong Hong Kong;
  3. Paola Bonacini, Lucia Marino, “On the Hilbert function of zero-dimensional schemes in P1 × P1”, Collect. Math. 62 (2011), no.1, 57–67;
  4. Paola Bonacini, Lucia Marino, “Minimal free resolutions of zero-dimensional schemes in P1 × P1”, Algebra Colloquium, 22 (2015), no.1, 97-108;
  5. Paola Bonacini, Lucia Marino, “Equitable block colourings”, Ars Combinatoria, 120 (2015), 255-258;
  6. Paola Bonacini, Lucia Marino, “Hilbert functions and set of points in P1 × P1”, Beiträge zur Algebra und Geometrie, 56 (2015), no. 1, 43-61;
  7. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Balanced House-systems and Nestings”, Ars Combinatoria, 121 (2015), 429-436;
  8. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Nesting House-designs”, Discrete Mathematics, 339 (2016), no. 4, 1291-1299;
  9. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Nonagon quadruple systems: existence, balance, embeddings”, Australasian Journal of Combinatorics, 66 (2016), no. 3, 393-406;
  10. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Block colourings of 6-cycle systems”, Opuscula Math. 37, no. 5 (2017), 647-664;
  11. Paola Bonacini, Lucia Marino, “Equitable block colourings for 8-cycle systems”, Australasian Journal of Combinatorics, 69 (2017), no. 2, 184–196;
  12. Paola Bonacini, Lucia Marino, “On the spectrum of Octagon Quadrangle Systems of any index”, Contributions to Discrete Mathematics, 12 (1), 2017, 74-82;
  13. Paola Bonacini, Maria Di Giovanni, Mario Gionfriddo, Lucia Marino, Antoinette Tripodi, “The spectrum of balanced P3(1, 5)-designs”, Contributions to Discrete Mathematics, 12 (1), 2017, 133–142.
  14. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Perfect blocking sets in P3 -designs”, The Art of Discrete and Applied Mathematics, 1 (2018), #P2.08, published online il 25 Luglio 2019.
  15. Paola Bonacini, Lucia Marino, “Blocking sets for cycles and paths designs”, Appl. Anal. Discrete Math., 14 (2020), 183–197.
  16. Paola Bonacini, Lucia Marino, “On Voloshin colorings in 3-hypergraph designs”, Discrete Mathematics, Volume 343, Issue 10, October 2020.
  17. Paola Bonacini, Mario Gionfriddo, Lucia Marino, “Edge balanced 3-uniform hypergraph designs”, Mathematics 2020, 8, 1353 .
VIEW THE COURSES FROM THE A.Y. 2022/2023 TO THE PRESENT

Academic Year 2021/2022


Academic Year 2020/2021


Academic Year 2019/2020


Academic Year 2018/2019


Academic Year 2017/2018


Academic Year 2016/2017


Academic Year 2015/2016
  • Voloshin colorings of graph and hypegraphs designs
  • Coloring of G-designs
  • Existence of G-designs
  • Balancing problems for G-designs
  • Blocking sets for G-designs
  • Equitable block colourings for G-designs
  • Hilbert functions and minimal free resolutions for 0-dimensional schemes in P1xP1
  • Lifting problem for 2-codimensional schemes in Pn in positive characteristic
  • Section editor for the journal Filomat from 2016.

Collaboration with schools of Catania and other cities in the province within MATITA project and tutoring and orientation projects of the University of Catania.