Ana C. Chavez Caliz
Mathematician
Hola! Welcome to my website.
I am currently a postdoctoral research fellow in the Research Station of Geometry & Dynamics at the Mathematical Institute of Heidelberg University as part of Dr. Peter Albers' research group.
I am also part of the organizing committee of the RTG colloquium - "Asymptotic Invariants and Limits of Groups and Spaces" (a joint Research Training Group between Heidelberg University and the Karlsruhe Institute of Technology).
I received my Ph.D. in 2022 from The Pennsylvania State University, working under the supervision of Dr. Sergei Tabachnikov.
I enjoy thinking about problems that show connections between:
Geometry, and
Combinatorics
And usually, Algebra gets in the way. I am interested in symplectic billiards, spaces of projective polygons, and tiling problems.
Septiembre 2023. Fotografía cortesía del Prof. Dr. Fernando Hernández Hernández.
Papers
Projective self-dual polygons in higher dimensions, Chavez-Caliz, Ana. Advances in Geometry, vol. 23, no. 4, 2023, pp. 567-582. https://doi.org/10.1515/advgeom-2023-0024 (arXiv version here.)
Polígonos de Poncelet. Ana C Chavez-Caliz. Paskin Matemático (2022) no. 2, vol. 4, pag. 1-4 https://editorial.konradlorenz.edu.co/2022/05/paskin-matematico-vol-4-num-2.html?fbclid=IwAR3F4hV4Fh0R4QHewAfmPVtwaEMSPwWbeegz7BYuLkhq2ZYhXHVq1CsEnFE
More about areas and centers of Poncelet polygons. Ana C. Chavez-Caliz. Arnold Mathematical Journal (2020) https://doi.org/10.1007/s40598-020-00154-8 (arXiv version here.)
