short CV
Employment
January 2024 -- present. Level A Researcher (Investigadora titular A). CIMAT. Guanajuato, Mexico
October 2021 -- December 2023. Investigadora por México at the Math Institute of the National Autonomous University of Mexico (UNAM) at Oaxaca
November 2016--October 2021. Conacyt Research Fellow at the Math Institute of the National Autonomous University of Mexico (UNAM) at Oaxaca
September 2015--September 2016. Postdoc at the Math Institute of the National Autonomous University of Mexico (UNAM) at Mexico City, under the supervision of Pablo Suárez-Serrato
January--May 2016. Postdoc at the Mathematical Science Research Institute (MSRI), Berkeley
Education
PhD in Mathematics at Stony Brook University, USA. May, 2015. Advisors: Blaine Lawson (SBU) and Christina Sormani (CUNY)
B.S. in Mathematics at the University of Guanajuato, Mexico. Aug, 2008. Advisor: Rafael Herrera Guzmán (CIMAT)
Published and accepted papers
"Volume Above Distance Below", With B. Allen and C. Sormani. To appear in JDG
"The mean curvature flow on submanifolds", With R. Arroyo, G. Ovando, M. Sáez. Bol. Soc. Mat. Mex. 2024, https://doi.org/10.1007/s40590-024-00612-9
"Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds", With A.J. Cabrera Pacheco and M. Graf. General Relativity and Gravitation 55 (11), 132, 2023
"Rigidity of mass-presserving 1-Lipschitz maps from integral current spaces into R^n", With G. Del Nin. Mathematical Analysis and Applications, 526 (2023)
"Yamabe problem in the presence of singular Riemannian Foliations", With D. Corro and J. C. Fernández. Calculus of Variations and PDE. 62, 26 (2023). https://doi.org/10.1007/s00526-022-02359-5
"An upper bound on the revised first Betti number and a torus stability result for RCD spaces", With I. Mondello and A. Mondino. Comentarii Mathematici Helvetici, 97 (2022), no. 3, pp. 555–609, https://doi.org/10.4171/CMH/540
"Intrinsic flat convergence of points and applications to stability of the positive mass theorem" With L.H. Huang and D. Lee. Annales Henri Poincare, 2022, doi: 10.1007/s00023-022-01158-0
"Maximal volume entropy rigidity for RCD*(-(N-1),N) spaces" With C. Connell, X. Dai, J. Núñez-Zimbrón, P. Suárez-Serrato, G. Wei. Journal of the London Mathematical Society, 2021
"Alexandrov Spaces with Integral Current Structure” With M. Jaramillo , P. Rajan, C. Searle and A. Siffert. Communications in Analysis and Geometry, Vol 29, No. 1, pp 115-149, 2021
"Stability of graphical tori with almost nonnegative scalar curvature” With A.J. Cabrera Pacheco and C. Ketterer. Calculus of Variations and Partial Differential Equations, Vol 59, No. 4, pp. 1-27, 2020
“A generalized tetrahedral property” With J. Núñez-Zimbrón. Mathematische Zeitschrift Journal, Vol. 298, No. 1, pp 747-769, 2021
“On the Sormani-Wenger Intrinsic Flat Convergence of Alexandrov Spaces” With Nan Li, Journal of Topology and Analysis, Vol 12, No. 3, pp. 819-839, 2020
“Convergence of Manifolds and Metric spaces with Boundary” Journal of Topology and Analysis, Vol 12, No. 3, pp. 735-774, 2020
“Volumes and Limits of Manifolds with Nonnegative Ricci Curvature and Mean Curvature Bounded Below” Differential Geometry and its Applications, Vol 48, pp. 23-37, 2016
“Survey on the Convergence of Riemannian Manifolds with Boundary” Contemporary Mathematics: Aportaciones Matemáticas, 657, pp. 179-188, 2016
“Sequences of Open Riemannian Manifolds with Boundary” With C. Sormani, Pacific Journal of Mathematics, Vol 270, No 2, 2014
For a complete list of my papers: arXiv
For a complete list of my papers: Arxiv
Some previous co-organization
mms&convergence seminar : With D. Semola , June 2020-May 2022
Coloquio Matemático Oaxaqueño : With L. Bossinger from October 2020- December 2021
Coloquio Ex-estudiantes CIMAT-DEMAT : With A. Prieto Langarica , F. Galaz-García, C. Tokman, L. Núñez-Betancourt
RCD Spaces: Splitting theorems and applications. With N. Barcenas, November 9-11, 2021