About me

My name is Ana Cristina Chávez Cáliz. I was born and raised in Morelia, Michoacán, Mexico. I participated in the Mathematic Olympiads, where I discovered the fun side of math.

​I got my bachelor's degree in Physics-Mathematics at the Universidad Michoacana de San Nicolás de Hidalgo UMSNH, with the thesis titled "About Conway's and Thurston's work on tilings" under the supervision of Dr. Jorge López López.​

After that, I pursued my master's degree in Mathematics at the Posgrado Conjunto de Ciencias Matemáticas (a Graduate program offered as a joint work between UMSNH, IFM, and UNAM). I graduated with the thesis "Solutions of the Bring Jerrard-Equation" again under the supervision of Dr. Jorge López López.

I obtained my Ph.D. in Mathematics at The Pennsylvania State University, supervised by Dr. Sergei Tabachnikov, working on "Topics in Projective geometry of Polygons," where we explored configuration theorems, periodic billiards in ellipses, and self-duality.

I am currently a postgraduate research fellow at Heidelberg University, as part of the symplectic geometry group, working with Dr. Peter Albers.

When I am not doing math, I enjoy reading, painting, and biking.

Research interests

I enjoy thinking about problems that show connections between:

And usually, Algebra gets in the way. I am interested in Spaces of Polygons, Tiling problems, and Configuration theorems, each in their Euclidean, Hyperbolic, and Projective geometry flavors. 

I would also like to explore Tropical geometry, Billiards in higher dimensions, and computer-based experimental mathematics.

Education


The Pennsylvania State University

Ph.D. in Mathematics

UMSNH-UNAM

Master's Degree in Mathematics

Universidad Michoacana de San Nicolas de Hidalgo

Bachelor's Degree in Physics-Mathematics