Algebraic curves in positive characteristic and applications

• Grant number: 17/18776-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2018
• End date: May 02, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Herivelto Martins Borges Filho
• Grantee: Pietro Speziali
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This research project focuses on the study of the Geometry of Algebraic Curves in positive characteristic (with particular attention to curves defined over finite fields) and their applications, mainly to cryptography and coding theory. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ARAKELIAN, NAZAR; SPEZIALI, PIETRO. Algebraic curves with automorphism groups of large prime order. MATHEMATISCHE ZEITSCHRIFT, v. 299, n. 3-4, p. 2005-2028, DEC 2021. (17/18776-6)

KORCHMAROS, GABOR; NAGY, GABOR P.; SPEZIALI, PIETRO. Hemisystems of the Hermitian surface. JOURNAL OF COMBINATORIAL THEORY SERIES A, v. 165, p. 408-439, JUL 2019. (17/18776-6)

MONTANUCCI, MARIA; SPEZIALI, PIETRO. Large automorphism groups of ordinary curves in characteristic 2. Journal of Algebra, v. 526, p. 30-50, MAY 15 2019. (17/18776-6)