papers

Scientific Publications

1.  Contour parametrization via anisotropic mean curvature flows, with E.I. Velázquez Richards, Applied Mathematics and Computation, 441 (2023) 127699. [arXiv] [code] 

2. 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]

3. 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]

4.  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]

5.  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]  

6.  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.

7.  On higher graph manifolds, with C. Connell, International Mathematics Research Notices IMRN, (2019) no. 5, 1281–1311. [arXiv]

8.  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.  

9.  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]

10.  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]

11.  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]

12.  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] 

13.  Socialbots supporting human rights, with E.I. Velázquez Richards, M. Yazdani, AIES 2018 AAAI/ACM Conference on Artificial Intelligence, Ethics, and Society, 2018. [arXiv]

14.  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]

15.  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] 

16.  Poisson structures on wrinkled fibrations, with J. Torres Orozco, Bulletin of the Mexican Mathematical Society, 22, No.1 (2016), 263–280. [arXiv]

17.  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] 

18.  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]

19.  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]

20.  Conformal entropy rigidity through Yamabe flows, with S. Tapie, Mathematische Annalen, 353, No.2 (2012) 333–357.

21.  Perelman’s λ -invariant and collapsing via geometric characteristic splittings, Geometriae Dedicata, 147, No.1 (2010) 149–157. [arXiv]

22.  A note the volume flux group of four-manifolds, with J. Petean. Topology and its Applications, 157 (2010) 870–873.

23.  The volume flux group and nonpositive curvature, Annals of Global Analysis and Geometry, 36, No. 1 (2009) 61–65. [arXiv]

24.  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]

25.  Minimal entropy and geometric decompositions in dimension four, Algebraic & Geometric Topology, 9 (2009) 365–395. [arXiv]

26.  Affine configurations and pure braids, Discrete & Computational Geometry, 41 no. 1 (2009) 177–181. [arXiv]

27.  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.