English

ADDRESS

Universidade Federal Fluminense

Instituto de Matemática e Estatística

Rua Professor Marcos Waldemar de Freitas Reis,

s/n Bloco G, 5º andar, Sala 37 – Campus do Gragoatá

São Domingos- Niterói – RJ – CEP: 24.210-201

Email: rsalomao@id.uff.br

RESEARCH INTERESTS

• Algebraic Singularity Theory: Algebroid hypersurfaces singularities in positive characteristic;
• Algebraic Geometry: Fibrations by nonsmooth curves, Regular but nonsmooth curves;
• Algebraic Function Fields: Nonconservative function fields.

PAPERS AND WORKS

• “Hypersurface Singularities in Arbitrary Characteristic” (With A. Hefez and J.H.O Rodrigues) Journal of Algebra, 2019
• “The Milnor Number of Plane Branches with Tame Semigroups of Values” (With A. Hefez and J.H.O Rodrigues) Bulletin of the Brazilian Mathematical Society, New Series, 2018
• “Kähler differentials on a plane curve and a counterexample to a result of Zariski in positive characteristic.” (With A. Hefez and J.H.O Rodrigues) Topology and its Applications, 2018
• “Fibrations by curves with more than one nonsmooth point.” Bulletin of the Brazilian Mathematical Society, New Series, 2014
• “Fibration by nonsmooth genus three curves in characteristic three”. Journal of Pure and Applied Algebra, 2011
• “On moving singularities in fibration by algebraic curves”, PhD Thesis, IMPA, 2009
• “O teorema do mergulho da reta”, MSc Thesis, UFF, 2004

TALKS AND MINICOURSES

• “Hypersurface singularity in arbitrary characteristic”, Talk, 24 th Brazilian Algebra Meeting, UFMG-2016
• “Fibrações por curvas não lisas”, Talk, LEGAL-2012;
• “On fibrations by nonsmooth curves”, Talk, ALGA-2011;
• “Criptografia com curvas elípticas”, Talk, Matfest-UFAL-2011;
• “Breve introdução à criptografia com curvas elípticas”, Minicourse, JOGA-2011;
• “Existe vida geométrica no mundo da álgebra abstrata?”, Talk, UFRRJ-2009;
• “Sobre o teorema de Bertini em característica positiva”, Talk, IMPA-2007;
• “O teorema de Bézout em P^n”, Course seminar, “Algebraic Geometry 2” IMPA-2005;