papers
Preprints
Learning from landmarks, curves, surfaces, and shapes in Geomstats, with Pereira, Le Brigant, Myers, Hartman, Khan, Tuerkoen, Dold, Gu, and Miolane, 2024.
Asymptotic dimension and geometric decompositions in dimensions 3 and 4, with Haydeé Contreras Peruyero, 2024.
Areas on the space of smooth probability density functions on S², [code repo] with J.C. Ruíz-Pantaleón, 2021.
Yamabe flows and extremal entropy on complete manifolds, with S. Tapie, Max-Planck-Institute for Mathematics in Bonn, MPIM Preprint Series 2012 (22).
Scientific Publications
Contour parametrization via anisotropic mean curvature flows, with E.I. Velázquez Richards, Applied Mathematics and Computation, 441 (2023) 127699. [arXiv] [code]
Collapsing and group growth as obstructions to Einstein metrics on some smooth 4-manifolds, with Haydeé Contreras Peruyero, New York Journal of Mathematics 28 (2022) 659–671. [arXiv]
Maximal volume entropy rigidity for RCD*(−(N −1),N) spaces, with C. Connell, X. Dai, J. Núñez-Zimbrón, R. Perales, G. Wei, Journal of the London Mathematical Society, 104 (2021), 1615–1681. [arXiv]
On computational Poisson geometry I: Symbolic foundations, with M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, Journal of Geometric Mechanics (2021) 13 (4), 607–628. [code repo] [arXiv]
On computational Poisson geometry II: Numerical methods, with M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, Journal of Computational Dynamics (2021) 8 (3), 273–307. [code repo] [arXiv]
Examples of Symbolic and Numerical Computation in Poisson Geometry with M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, Geometric Science of information GSI (2021), Lecture Notes in Computer Science , vol. 12829, 200–208.
On higher graph manifolds, with C. Connell, International Mathematics Research Notices IMRN, (2019) no. 5, 1281–1311. [arXiv]
Non-backtracking Cycles: Length Spectrum Theory and Graph Mining Applications, with L. Torres, T. Eliassi-Rad, Applied Network Science, Machine Learning with Graphs, (2019) 4: 41.
BoostNet: Bootstrapping detection of socialbots, and a case study from Guatemala, with E. Gallagher E.I. Velázquez Richards, Selected contributions on Statistics and Data Science in Latin America, Springer Proceedings in Mathematics & Statistics 301 (2019). [arXiv]
On Bott-Morse Foliations and their Poisson Structures in Dimension 3, with M. Evangelista- Alvarado, J. Torres Orozco, R. Vera, Journal of Singularities, Volume 19 (2019), 19–33. [arXiv]
Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6, with J. Torres Orozco, R. Vera, Annals of Global Analysis and Geometry, Vol. 55, No. 4, (2019) 777–804. [arXiv]
Socialbots whitewashing contested elections; a case study from Honduras, with E. Gallagher E.I. Velázquez Richards, International Congress on Information and Communication Technology Proceedings 2018, Springer. [arXiv]
Socialbots supporting human rights, with E.I. Velázquez Richards, M. Yazdani, AIES 2018 AAAI/ACM Conference on Artificial Intelligence, Ethics, and Society, 2018. [arXiv]
Topological rigidity of higher graph manifolds, with N. Bárcenas and D. Juan-Pineda, Bulletin of the Mexican Mathematical Society, Volume in honor of Samuel Gitler, Vol. 23, No.1 (2017),119–127. [arXiv]
On the influence of social bots in online protests. Preliminary findings of a Mexican case study, with M.E. Roberts, C.A. Davis, F. Menczer, Lecture Notes in Computer Science 10047, SocInfo 2016, Part II, Springer (2016), SocInfo 2016: Social Informatics 269–278. [arXiv]
Poisson structures on wrinkled fibrations, with J. Torres Orozco, Bulletin of the Mexican Mathematical Society, 22, No.1 (2016), 263–280. [arXiv]
Poisson structures on smooth 4-manifolds, with L. García-Naranjo and R. Vera, Letters in Mathematical Physics, 105, No.11, (2015) 1533–550. [arXiv] [prezi]
Dynamics and Zeta functions of conformally compact manifolds, with S. Tapie and J. Rowlett. Transactions of the American Mathematical Society, 367 (2015), no. 4, 2459–2486. [arXiv]
A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds, with R. Torres, Journal of Geometry and Physics, 86 (2014), 383–391. [arXiv]
Conformal entropy rigidity through Yamabe flows, with S. Tapie, Mathematische Annalen, 353, No.2 (2012) 333–357.
Perelman’s λ -invariant and collapsing via geometric characteristic splittings, Geometriae Dedicata, 147, No.1 (2010) 149–157. [arXiv]
A note the volume flux group of four-manifolds, with J. Petean. Topology and its Applications, 157 (2010) 870–873.
The volume flux group and nonpositive curvature, Annals of Global Analysis and Geometry, 36, No. 1 (2009) 61–65. [arXiv]
An essential relation between Einstein metrics, volume entropy and smooth structures, with M. Brunnbauer and M. Ishida. Mathematical Research Letters, 16, No.3, (2009) 503– 514. [arXiv]
Minimal entropy and geometric decompositions in dimension four, Algebraic & Geometric Topology, 9 (2009) 365–395. [arXiv]
Affine configurations and pure braids, Discrete & Computational Geometry, 41 no. 1 (2009) 177–181. [arXiv]
Atoroidalité compléte et annulation de l’invariant λ de Perelman, Actes du Séminaire de Théorie Spectrale et Géométrie, Institut Fourier Grenoble, Vol. 26 (2007-2008) 145–154.
E-prints available upon request.
Media Articles
Álgebra y grupos: las matemáticas de Zelmanov, with Sofía Flores Fuentes, Nexos, 2015.
Los ganadores del premio Breakthrough: Simon Donaldson, universo.math, 2014.