Alessio Caminata

at UB
Research area: Algebra / Geometry

PhD in Mathematics obtained at University of Osnabrück (2016)

Biosketch

I received my Ph.D. in 2016 from the University of Osnabrück under the supervision of Holger Brenner. After that, I spent one year as a postdoc in the applied algebra group of Elisa Gorla at the University of Neuchâtel. Since spring 2017, I am a postdoc at the Institute of Mathematics of the UB founded by a Marie Sklodowska-Curie Individual Fellowship. My supervisor is Santiago Zarzuela.

Research lines

My research interests are in commutative algebra and its applications to the related fields of algebraic geometry and cryptography. In particular, I like the following topics: numerical functions and multiplicities of rings of positive characteristic (Hilbert-Kunz, F-signature), arithmetical rank of algebraic varieties, algorithms for polynomial systems solving, and multivariate cryptography.

Selected publications

  • A.Caminata, E. Gorla, Solving Multivariate Polynomial Systems and an Invariant from Commutative Algebra, submitted, arXiv:1706.06319.
  • A. Caminata, L. Katthän, The symmetric signature of cyclic quotient singularities, to appear in Journal of Commutative Algebra.
  • H. Brenner, A. Caminata, Generalized Hilbert-Kunz function in graded dimension two, to appear in Nagoya Mathematical Journal.
  • H. Brenner, A. Caminata, The symmetric signature, Communications in Algebra, Vol. 45, No. 9, pp. 3730-3756, 2017.
  • D. Bolognini, A. Caminata, A. Macchia, M. Mostafazadehfard, Cohomological dimension and arithmetical rank of some determinantal ideals, Le Matematiche, Vol. 70, no. 1, pp. 273-300, 2015.