English

Address:

Universidade Federal Fluminense - Instituto de Matemática

Rua Prof. Marcos Waldemar de Freitas Reis, S/N -- Bloco G -- sala 12

Campus do Gragoatá, Niterói, Rio de Janeiro, Brasil; 24210-201.

Email: julianacoelhochaves at id.uff.com

Curriculum   -   Orcid

Teaching (in portuguese)

Main research interest: Finite maps between curves: gonality of stable curves; Abel-Prym maps for smooth curves with group action. Previously worked on Abel maps and Brill-Noether theory for stable curves. 

Papers:

• "Characterizing gonality for two-component stable curves", com Frederico Sercio. Geometriae Dedicata, 214(1), 157-176, 2021. <arxiv>

• "Abel-Prym maps for isotypical components of Jacobians", com Kelyane Abreu. Bull. Braz.  Mat. Soc., 52(3), 679-695, 2021. <arxiv>

• "On the gonality of stable curves", with Frederico Sercio. Mathematische Nachrichten, v. 292, n. 11, p. 2338-2351, 2019. <arxiv>

• "Degree-2 Abel maps for nodal curves", with Eduardo Esteves and Marco Pacini. International Mathematics Research Notices, n. 10, 2912–2973, 2016. <arxiv>

• "On the geometry of Abel maps for nodal curves", with Alex Abreu and Marco Pacini. The Michigan Mathematical Journal, v. 64, p. 77-108, 2015. <arxiv>

• "Brill-Noether locus of rank 1 and degree g-1 on a nodal curve", with Eduardo Esteves. Communications in Algebra, v. 43, p. 2748-2762, 2015. <arxiv>

• "Abel maps for curves of compact type", with Marco Pacini. Journal of Pure and Applied Algebra, v. 214, p. 1319-1333, 2010. <arxiv>

• "Abel maps of Gorenstein curves", with Lucia Caporaso and Eduardo Esteves. Rendiconti del Circolo Matematico di Palermo, v. 57, p. 33-59, 2008. <arxiv>

• "Abel maps for reducible curves", doctor thesis, IMPA, 2006. Supervisor: Eduardo Esteves. 

• "Spectral properties of interval exchange maps", with Arnaldo Nogueira. Monasth. Math., v. 134, n. 2, p. 89-102, 2001.

Lecture notes:

• Notes on Jacobians varieties: a brief survey, expanded version of the notes writen for the school "Geometry at the Frontier I", held in Pucón, Chile (2016).

• Introdução à Geometria Algébrica, (in portuguese), course notes - UFF (2009).

• A função Zeta de Riemann, (in portuguese), notes from a presentation for a class at IMPA (2002).

• Grupos Algébricos e Variedades Abelianas, (in portuguese) notes from a presentation for a class at IMPA (2001).

Students:

• Renata Vieira Costa - Doctorate (since 2022).

• Manoel Oliveira - Doctorate (since 2021).

• Manoel Oliveira - Master. Dissertation: "O Teorema de Torelli" (2020).

• Kelyane Abreu - Doctorate. Thesis: "Generalized Abel-Prym maps" (2019).

• Frederico Sercio Feitosa - Doctorate.  Thesis: "On the degree-1 Abel map for nodal curves and the gonality of stable curves" (2014).

• Riane Mélo - Master. Dissertation: "Fibrados de posto 2 em curvas elípticas" (2011).