Education
Cornell University
Ph.D. in Mathematics, August 2017
Universidad Nacional Autónoma de México (UNAM)
B.Sc. in Mathematics, December 2011
Awards
Eleanor York Award – Awarded by the Department of Mathematics, Cornell University for academic achievement, 2014
Gabino Barreda Medal – For academic merit, Universidad Nacional Autónoma de México, 2013
Sotero Prieto Medal – Awarded by Sociedad Matemática Mexicana to the best undergraduate thesis in 2012
Academic Excellence Prize – I received this prize (Beca de Excelencia Académica) three years in a row in 2008, 2009 and 2010 from the Mexican Department of Education (SEP)
Fellowships
Marie Skłodowska-Curie Fellow – 2017 to present
Campus France PRESTIGE Fellow – 2017 to present
Conacyt Fellow – 2013-2017
Cornell Graduate School Fellow – 2015-2017
Beca Complemento DGRI-SEP – 2013-2015
Cornell Sage Fellowship – 2012-2013
Conacyt Fellow (tesista) – 2010-2011
Fundación Telmex Fellow – 2008-2011
Publications
[1] “Strong topological invariance of the monodromy group at infinity for quadratic vector fields”. J. Singul. 9, 193-202 (2014).
doi: 10.5427/jsing.2014.9n. (pdf).
[2] “The utmost rigidity property for quadratic foliations on $\mathbb{P}^2$ with an invariant line”. Bol. Soc. Mat. Mex. 23, no.2, 759-813 (2017).
doi: 10.1007/s40590-016-0127-5. (pdf).
[3] “An example of a non-algebraizable singularity of a holomorphic foliation”. Enseign. Math. 62, 7-14 (2016).
doi: 10.4171/LEM/62-1/2-3. (pdf).
[4] “Twin vector fields and independence of spectra for quadratic vector fields”. J. Dynam. Control Syst. 23, 623-633 (2017).
doi: 10.1007/s10883-016-9344-5. (pdf).
[5] (With Y. Kudryashov) “Spectra of quadratic vector fields on $\mathbb{C}^2$: The missing relation”. To appear in: Mosc. Math. J. (2018).
arXiv: 1705.06340. (pdf).
[6] (With A. Guillot) “On the multipliers of fixed points of quadratic self-maps of the projective plane with an invariant line”. Comput. Methods Funct. Theory. 19, no.4, 687-716 (2019).
doi: 10.1007/s40315-019-00293-w. (pdf).
[7] (With F. Loray) “A map between moduli spaces of connections”. SIGMA Symmetry Integrability Geom. Methods Appl. 16, n.125, 42p (2020).
doi: 10.3842/SIGMA.2020.125. (pdf).
Preprints
[a] “The Woods Hole trace formula and indices for vector fields and foliations on $\mathbb{C}^2$” (2016).
arXiv: 1608.05321. (pdf).
Ph.D. Thesis
“Quadratic vector fields on the complex plane: rigidity and analytic invariants”. Dissertation. Cornell University (2017).
doi: 10.7298/X48913Z1.
Additional material
The computations needed in some of the above papers are hosted in my GitHub page: