Ronald A. Zúñiga-Rojas

Contact Information

S - mail:

Centro de Investigaciones en Matemática Pura y Aplicada CIMPA

Ciudad de la Investigación, Universidad de Costa Rica

Calle Novillos, s.n.

11502 Sabanilla, Montes de Oca, San José

E - mail: 

ronald.zunigarojas (at) ucr.ac.cr

Phone:

(+506) 2511 - 3450

Publications

My publications on the arXiv
My author profile on MathSciNet
My author profile on ZentralBlatt MATH
ORCID: 0000-0003-3402-2526

Thesis

Zúñiga-Rojas, R.A., “Homotopy Groups of the Moduli Space of Higgs Bundles”, Ph.D. Thesis,
Universidade do Porto, Porto, Portugal, 2015.

Papers

1. Gothen, P.B. and Zúñiga-Rojas, R.A., “Stratifications on the Nilpotent Cone of the
Hitchin Map”, Revista Matemática Complutense 35, 311--321 (2022).
https://doi.org/10.1007/s13163-021-00400-3

2. Zúñiga-Rojas, R.A., “Variations of Hodge Structures of Rank Three k-Higgs Bundles
and Moduli Spaces of Holomorphic Triples”, [new version of “On the Cohomology of The
Moduli Space of sigma-Stable Triples and (1,2)-VHS”], Geometriae Dedicata 213, 137–172 (2021).
https://doi.org/10.1007/s10711-020-00572-0

3. Zúñiga-Rojas, R.A., “A Brief Survey of Higgs Bundles”, RMTA,vol. 26 (2019), n. 2,
197-214. 

4. Zúñiga-Rojas, R.A., “Stabilization of the Homotopy Groups of the Moduli Space of k-
Higgs Bundles”, Revista Colombiana de Matemáticas, U. N. Colombia, 52 (2018) 1, 9-31.
doi: 10.15446/recolma.v1n52.74525

5. Gothen, P.B. and Zúñiga-Rojas, R.A., “Stratifications on the Moduli Space of Higgs
Bundles”, Portugaliae Mathematica, EMS, 74 (2017), 127-148. doi: 10.4171/PM/1996

6. Zúñiga-Rojas, R.A., “Estratificações no Espaço Moduli dos Fibrados de Higgs”, Encontro
Nacional da Sociedade Portuguesa de Matemática (ENSPM 2014), Boletim SPM, Lisboa (2016),
129-133.

Monographs

Zamora, A. and Zúñiga-Rojas, R.A., Geometric Invariant Theory, holomorphic vector bundles
and the Harder-Narasimhan filtration, Monograph, Springer-Briefs in Mathematics, 2021. 
https://doi.org/10.1007/978-3-030-67829-6


Preprints

1. Sánchez-Guevara J.E. and Zúñiga-Rojas, R.A., “Introducción a la teoría de categorías,
lógica y topos elementales para una mente curiosa”, (to appear). arxiv:2211.14421 [math.CT]

Seminars and Conferences

Photos