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Hello! 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, where I am part of Dr. Peter Albers' research group.Â
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) and the Geometry Seminar in Heidelberg.Â
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: I am interested in billiard systems and spaces of projective polygons.
Septiembre 2023. FotografĂa cortesĂa del Prof. Dr. Fernando Hernández Hernández.
Preprints
Preprints
Outer symplectic billiard map at infinity, P. Albers, A. Chavez Caliz, and S. Tabachnikov. https://arxiv.org/abs/2508.15142
Outer symplectic billiards, P. Albers, A. Chavez Caliz, and S. Tabachnikov. https://arxiv.org/pdf/2409.07990.
Papers
Papers
Projective self-dual polygons in higher dimensions, Chavez-Caliz, Ana. Â Advances in Geometry, vol. 23, no. 4, 2023, pp. 567-582. https://doi.org/10.1515/advgeom-2023-0024 (arXiv version here.)
PolĂgonos 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.)
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