Research output per year
Research output per year
Asmussens Allé, 303B, 150
2800 Kgs. Lyngby
Denmark
Algebraic geometry is a branch of mathematics based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems and viceversa. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. The power of the connection between Algebra and Geometry shows itself in a number of applications. Leading examples are Coding theory and Cryptography.
My main research interests concern Galois Geometries, their applications to Coding Theory and Cryptography, and their interactions with Algebraic Curves over Finite Fields (both from purely algebraic and purely geometrical points of view).
(1) Algebraic Geometry in positive characteristic (automorphism groups of algebraic curves, birational invariants, maximal curves, quotient curves)
(2) Coding Theory (functional codes, AG codes, quantum codes, convolutional codes)
(3) Linear sets and their applications (scattered polynomials, MRD codes)
(4) Permutation polynomials over finite fields (bent functions)
Ph.D in Mathematics (Doctor Europaeus), Università degli studi della Basilicata
2015 → 2018
M.Sc in Mathematics, Università degli studi di Perugia
2010 → 2015
Research output: Contribution to journal › Journal article › Research › peer-review
Research output: Contribution to journal › Journal article › Research › peer-review
Research output: Contribution to journal › Journal article › Research › peer-review
Research output: Contribution to journal › Journal article › Research › peer-review
Research output: Contribution to journal › Journal article › Research › peer-review
Vom Braucke, M. F. (PhD Student), Montanucci, M. (Main Supervisor) & Beelen, P. (Supervisor)
01/04/2025 → 31/03/2028
Project: PhD
Niemann, J. T. (PhD Student), Montanucci, M. (Main Supervisor) & Beelen, P. (Supervisor)
15/03/2023 → 14/03/2026
Project: PhD
Vicino, L. (PhD Student), Beelen, P. (Main Supervisor), Montanucci, M. (Supervisor), Giulietti, M. (Examiner) & Quoos, L. (Examiner)
15/10/2020 → 11/03/2024
Project: PhD
Landi, L. (PhD Student), Bassa, A. (Examiner), Couvreur, A. (Examiner), Henriksen, C. (Examiner), Beelen, P. (Main Supervisor) & Montanucci, M. (Supervisor)
01/01/2019 → 09/05/2022
Project: PhD
Solomatov, G. A. (PhD Student), Augot, D. (Examiner), Storjohann, A. (Examiner), Markvorsen, S. S. (Examiner), Beelen, P. (Main Supervisor) & Montanucci, M. (Supervisor)
15/10/2018 → 11/02/2022
Project: PhD