Contact information:

Armando Cabrera Pacheco
Carl Zeiss Postdoctoral Fellow
Universität Tübingen
Email: cabrera at math dot uni-tuebingen dot de


Research interests:

Differential Geometry and Mathematical Relativity.


Education:

Ph.D. in Mathematics, University of Miami, USA (2016). Advisor: Pengzi Miao.
M.Sc. in Mathematics, University of Miami, USA (2012).
Bachelor's degree in Mathematics, Universidad Autónoma de Yucatán, México (2009).

[short CV]


Publications:

A. J. Cabrera Pacheco, and C. Cederbaum, A survey on extensions of Riemannian manifolds and Bartnik mass estimates, submitted, 2019. [arXiv:1904.05830]
- A. Alaee, A. J. Cabrera Pacheco, and C. Cederbaum, Asymptotically flat extensions with charge, submitted, 2019. [arXiv:1903.09014]
- A. J. Cabrera Pacheco, C. Ketterer, and R. Perales, Stability of graphical tori with almost nonnegative scalar curvature, submitted, 2019. [arXiv:1902.03458]
A. J. Cabrera Pacheco, On the stability of the positive mass theorem for asymptotically hyperbolic graphs, submitted, 2018. [arXiv:1803.01899]
- A. J. Cabrera Pacheco, C. Cederbaum, and S. McCormick, Asymptotically hyperbolic extensions and an analogue of the Bartnik mass, J. Geom. Phys. 132, 338-357, 2018. [arXiv:1802.0331]
- A. J. Cabrera Pacheco, C. Cederbaum, S. McCormick and P. Miao, Asymptotically flat extensions of CMC Bartnik dataClass. Quantum Grav. 34, 105001 (15 pp), 2017. [arXiv:1612.05241
- A. J. Cabrera Pacheco and P. Miao, Higher dimensional black hole initial data with prescribed boundary metricMath. Res. Lett., 25(3), 937-956, 2018. [arXiv:1505.01800
- A. J. Cabrera Pacheco and P. Miao, Isometric embeddings of 2-spheres into Schwarzschild manifolds, Manuscripta Math. 149 , 459-469, 2016.


Relevant publications as an undergraduate student:

- A. J. Cabrera Pacheco and D. A. Solis Gamboa, Espacio conforme y compactificación en espacio-tiempos de curvatura constante (Undergraduate thesis), Eureka (Mexico) 24 , 29-48, 2009. [Open access]


Outreach:

A. J. Cabrera Pacheco and S. Jahns, Un enfoque riemanniano de la relatividad general: el teorema de la masa positiva y la unicidad de agujeros negros estáticos, 2019.


Conference organization:

- "Avances recientes en Geometría de Lorentz" (co-organized with D. Solís and A. Sánchez-Valenzuela). [poster]
   Location: CIMAT-Mérida, México. 
   Dates: 30/aug/18-1/sep/18. 
- "Mathematical Relativity: A Riemannian Approach" (co-organized with L. Hernández Lamoneda). [webpage]
   Location: CIMAT-Guanajuato, México.
   Dates: 27/may/19-29/may/19.
- "Encuentro iberoamericano de geometría diferencial en Granada" (co-organized with J. L. Flores and M. Sánchez).  [webpage]
   Location: IEMath-GR, Granada, Spain.
   Dates: 10/jun/19-12/jun/19.


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