I am a postdoctoral researcher working on algebraic topology under the supervision of José Cantarero at CIMAT Mérida. My current research centers on describing the homotopical properties of some complements of hyperplane arrangements.
Previously, I got my Ph. D. from the CINVESTAV research center under the supervision of Jesús González where I worked on the topological complexity of no-$k$-equal spaces, a kind of generalization of configuration spaces.
Download my CV.
PhD in Mathematics, 2022
CINVESTAV
MSc in Mathematics, 2018
CINVESTAV
BSc in Mathematics, 2016
Meritorious Autonomous University of Puebla
Courses taught:
We compute the Lusternik-Schnirelmann category and all the higher topological complexities of non-$k$-equal manifolds $M_d^{(k)}(n)$ for certain values of $d$, $k$ and $n$. This includes instances where $M_d^{(k)}(n)$ is known to be rationally non-formal. The key ingredient in our computations is the knowledge of the cohomology ring $H^*(M_d^{(k)}(n))$ as described by Dobrinskaya and Turchin. A fine tuning comes from the use of obstruction theory techniques. The table shown above shows the Lusternik-Schnirelmann category values for the case $d=2$ and small values of $k$ and $n$.