## 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*. (2019).

doi: 10.1007/s40315-019-00293-w. (pdf).

### Preprints

**[a]** “The Woods Hole trace formula and indices for vector fields and foliations on $\mathbb{C}^2$” (2016).

arXiv: 1608.05321. (pdf).

**[b]** (With F. Loray) “A map between moduli spaces of connections” (2019).

arXiv: 1910.13535. (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: