Ana C. Chavez Caliz

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Hello! Welcome to my website.

I am currently a postdoctoral research fellow at IMATE Unidad Cuernavaca.

Previously, I was a postdoc at Heidelberg University. I received my Ph.D. in 2022 from The Pennsylvania State University, working under the supervision of Dr. Sergei Tabachnikov.

I am interested in billiard systems and spaces of projective polygons.

My research statement

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Septiembre 2023. Fotografía cortesía del Prof. Dr. Fernando Hernández Hernández.

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

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.)

Tiling by hyperbolic dominoes. Ana C. Chavez-Caliz and Jorge L. Lopez-Lopez. Elemente der Mathematik, 71 (2016), no. 2, 45-56

Affine invariants of polygons and matching under affine transformations. Edgar Chavez, Ana C. Chavez-Caliz, and Jorge L. Lopez-Lopez. Computational Geometry: Theory and Applications, 58 (2016) 60-69.

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