Email

cartoroc@iu.edu

Publications

• Singly periodic minimal Wente torus with ends
  Pre-print arXiv (2026).
• Minimal surfaces with closed curvature lines
  Pre-print arXiv (2026).
• Non-existence of free boundary minimal Möbius bands in the unit three-ball
  Proc. Amer. Math. Soc. 153 (2025), no. 5, 2185–2198.

Events

• XXII Escola de Geometria Diferencial, Universidade Federal do Piauí, Teresina-Brazil, from July 13 to July 17, 2026. Short talk.
• European School of Differential Geometry, L'Aquila-Italia, from June 22 to July 03, 2026. Poster presentation.
• VI Congreso Brasileiro de Jovens Pesquisadoras e Pesquisadores em Matemática Pura, Aplicada e Estatística, Modern Trends in Geometric Analysis, Universidade Federal do Piauí, Teresina-Brazil, from May 18 to 21, 2026. Presentation.
• Systolic and Diastolic Geometry, Instituto de Matemática Pura e Aplicada IMPA, Rio de Janeiro-Brazil, from March 17 to 21, 2025.
• Workshop on Differential Geometry, Maceió, Alagoas-Brazil, from March 10 to 14, 2025. Poster presentation.
• 21st School of Differential Geometry, Diamantina, Minas Gerais-Brazil, from July 22 to July 26, 2024.
• European Doctorate School of Differential Geometry, Mathematical Institute of the University of Granada-Spain from June 24 to July 5, 2024. Poster presentation.
• Workshop of Differential Geometry and Geometric Analysis, Fortaleza, Ceará-Brazil, from March 11 to 15, 2024.
• 34º Colóquio Brasileiro de Matemática, Instituto de Matemática Pura e Aplicada IMPA, Rio de Janeiro-Brazil, from July 24 to 28, 2023.
• 32º Colóquio Brasileiro de Matemática, Instituto de Matemática Pura e Aplicada, from July 29 to August 02, 2019.
• Young Researcher, Algebra UdeA, Professor Pedro Hernandez Rizzo, Universidad de Antioquia, Medellín-Colombia, from March 2018 to March 2019.
• Matemáticas por Estudiantes, Universidad de los Andes, Bogotá-Colombia, December 2018. Poster presentation.
• Young Researcher, Phenomenological Group of Fundamental Interactions, Professor Oscar Alberto Zapata Noreña, Universidad de Antioquia, Medellín-Colombia, from May 2016 to April 2017.
• Summer School "Noncommutative Geometry and Poisson Geometry around Groupoids", Pontificia Universidad Javeriana Bogotá, Villa de Leyva-Colombia, from June to July 2018.
• 1st ComHEP: Colombian Meeting on High Energy Physics, Instituto Tecnológico Metropolitano ITM. Medellín-Colombia, from November to December 2016.