Vincenzo MICALE

Studies and Education:
- July 1997: degree in Mathematics (supervisor: prof. R. Strano) thesis entitled: " Chiusura stretta di un ideale"; mark: 110/110 with honours;
- from 1997-98 to 2001-02: PhD in Matematics at Catania University, positively accomplished with a thesis entitled: "On Analytically Unramified One-dimensional Local Rings and their Value Semigroups ";
- January 2000 - July 2001, October 2002 - July 2003 and November 2004 - March 2005: visiting scholar at Stockholm University (Sweden) with research activities under the direction of Professor Ralf Froberg;
- January - May 2004: visiting scholar at Universitat de Barcelona (Spain) with research activities under the direction of Professor S. Zarzuela;

Partecipation to the following schools:
- August 1999: " Summerschool on Computational Algebra ", Nordfjorded - Norway;
- May 2004 “School on Commutative Algebra and interactions with Algebraic Geometry and Combinatorics” Trieste.

- July 13^th-August 3^rd 2008. P.R.A.G.MAT.I.C. “Free resolution and Hilbert series : algebraic, combinatorial and geometric aspects”, Catania.

- June 20^th-July 9^th 2011. P.R.A.G.MAT.I.C. “Graded algebras and modules: properties and invariants”, Catania.

Education grants and titles:
- 1993-95: grants for undergraduates provided by the University of Catania;
- 1997: winner of a position as PhD student in Mathematics (XIII cycle) at the University of Catania;
- 2001: national final discussion of the PhD thesis with a positive result;
- March 2006: winner of a competition for a position as a researcher in Algebra at the University of Catania;
- November 2006: come on duty as a researcher of Algebra at the Faculty of Sciences of the University of Catania;
- November 2009: confirmed as researcher of Algebra;
- Since 2006 referee for some journals; in particular, for “Communications in Algebra” and “Semigroup Forum”;


Teaching activities:
- Course for the Degree in Mathematics: Complement in Algebra;
- Course for the Master degree in Mathematics: Istitution of Algebra (second module), Computational Algebra;
- Course for the Degree in Mathematics: Algebra;
- Supervisor of several first-level thesis in Mathematics and of several Master Degrees in Mathematics;

Communications at conferences:
- May 2002: Giornate di Geometria Algebrica ed argomenti correlati VI - Anacapri (Italy); communication entitled “Semigruppi Monomiali”;
- September 2003: Workshop on Commutative Algebra with applications in Geometry and Combinatorics - Piraino (Italy); communication entitled “La serie di Poincaré del modulo delle derivate di Anelli monomiali”;
- May 2005: Antalya Algebra days – Antalya (Turkey); communication entitled “The Poincaré series of the module of derivations of some monomial rings”;
- July 2007: Homological and combinatorial aspects in commutative algebra – Busteni (Romania); communication entitled “On the Buchbaumness of the associated graded ring of a numerical semigroup ring”;
- June 2009: Topics in Algebra – Stockholm (Sweden); communication entitled “On the Buchbaumness of the associated graded ring of a numerical semigroup ring”;
- February 2010: Iberian meeting on numerical semigroups - Granada (Spain); communication entitled “Apery set of a numerical semigroup and properties of the associated graded ring of a numerical semigroup ring”;
- July 2012: Iberian meeting on numerical semigroups - Vila Real (Portugal); communication entitled “ On the Betti numbers of some semigroup rings”;
- September 2014: Organizer of the INdAM meeting "International meeting on numerical semigroups" - Cortona;
- June 2015 Mega – Trento (Italy); communication entitled “Bases of subalgebras of K[[x]] and K[x]";
- July 2016 Organizer of the CIRM meeting "International meeting on numerical semigroups with applications" - Levico Terme.
- June 2017 Research Days in Commutative Algebra and Combinatorics – Messina (Italy); communication entitled “Good semigroups".

- September 2018: Organizer of the INdAM meeting "International meeting on numerical semigroups" - Cortona.

- June 2022: Organizer of the meeting INdAM workshop: International meeting on numerical semigroups - Rome.

Date 20/03/2024

My research deals with the study of numerical semigroups from the point of view of commutative algebra. In particular I am interested in studying the properties of the semigroup rings (local or graded) and their invariants in relation to the semigroups associated with them (and eventually to generalize the results obtained in the case of one-dimensional rings).