Rafael Montezuma

Professor of Mathematics at the Department of Mathematics - UFC (Fortaleza, CE, Brazil).

Contact Information: montezuma [at] mat.ufc.br

Papers

The width of embedded circles. (preprint) (with Lucas Ambrozio and Roney Santos) arXiv
The first width of non-negatively curved surfaces with convex boundary. J. Geom. Anal. 34 (2024), no. 2, 60. (with Sidney Donato) DOI arXiv
Morse inequalities for the area functional. J. Differential Geom. 124 (2023), no. 1, 81–111. (with Fernando Codá Marques and André Neves) DOI arXiv
On free-boundary minimal surfaces in the Riemannian Schwarzschild manifold. Bull. Braz. Math. Soc. (N.S.) 52 (2021), no. 4, 1055–1071. DOI arXiv
On the min-max width of unit volume three-spheres. (accepted J. Differential Geom.) (with Lucas Ambrozio) arXiv
On the two-systole of real projective spaces. Rev. Mat. Iberoam. 36 (2020), no. 7, 1979–1988. (with Lucas Ambrozio) DOI arXiv
A mountain pass theorem for minimal hypersurfaces with fixed boundary. Calc. Var. Partial Differential Equations 59 (2020), no. 6, Paper No. 188, 30 pp. DOI arXiv
Metrics of positive scalar curvature and unbounded min-max widths. Calc. Var. Partial Differential Equations 55 (2016), no. 6, Art. 139, 15 pp. DOI arXiv
Min-max minimal hypersurfaces in non-compact manifolds. J. Differential Geom. 103 (2016), no. 3, 475–519. DOI arXiv

Masters and PhD students

Undergraduate Students

Sayd de Moura Luz (UFPI, Serrapilheira Fellowship, 2023-current)
Samuel Cantoaria Ferreira (UFMA, Serrapilheira Fellowship, 2023-current)
Francisco Donato Leite Pessoa (PIBIC-UFC Fellowship, 2022-current)
Igor Pinheiro Freire Ximenes (PIBIC-UFC Fellowship, 2023-current)
Maria Eduarda Bezerra de Oliveira (PIBIC-UFC and Serrapilheira Fellowships, B. Math. 2021)
Camilly Maria Ferreira Cordeiro (PIBIC-UFC Fellowship, 2022-2023)

Postdocs: Roney Santos (2022-2023), Julieth Saavedra (2022-current)

Grants and awards