I am Antonino Ficarra,
a researcher in Commutative Algebra working as a PostDoc in BCAM
Currently, I work as a postDoc in BCAM, Spain, in the group Singularity Theory and Algebraic Geometry led by Professors Javier Fernandez de Bobadilla and Ilya Smirnov.
Previously, I was a postDoc at the University of Évora, Portugal, under the supervision of Professor Pedro Macias Marques.
Email: aficarra@bcamath.org , antficarra@unime.it
My primary area of research is Commutative Algebra and its interactions with Combinatorics. In particular, I have worked on problems related to: Stanley-Reisner ideals and their asymptotic behaviour, Rees algebras, edge ideals, complementary edge ideals, cover ideals, polymatroidal ideals, vector-spread ideals, asymptotic behaviour of the v-number of homogeneous ideals, toric rings arising from simplicial complexes, squarefree and matching powers, symbolic powers, componentwise linearity of various kind of powers, mapping cones, Betti splittings, Koszul cycles, Fitting ideals, homological shift ideals and their corresponding algebras, asymptotic Golodness, Dao numbers and the asymptotic behaviour of fullness, cotangent functors, binomial edge ideals, exterior algebras, generalized blocking semiovals in finite projective spaces, vertex splittable ideals, determinantal rings, and the canonical trace of certain Cohen-Macaulay algebras, among others.
Furthermore, I have also developed three Macaulay2 packages: HomologicalShiftIdeals, MatchingPowers, VNumber.
Jurgen Herzog, Viyaja Trivedi and me working on a project regarding the canonical trace of determinantal rings.
Spending a lovely night in Bucharest streets during a conference with Ernesto Lax, Oleksandra Gasanova, Carmelo Cisto and Sora Miyashita.
Having lunch with Jurgen Herzog, Nursel Erey and Takayuki Hibi in Essen.