Ricardo Gloria Picazzo

About me ...

I am a PhD student in Mathematics at the University of Houston under the supervision of Yingying Wu. My interests revolve around (Discrete) Differential Geometry, Spectral Theory, Applied Topology, Discrete Exterior Calculus and Riemannian Geometry, along with their applications to Geometry Processing and Machine Learning.

I earned my bachelor's degree in Mathematical Computing at the University of Guanajuato / CIMAT. During my undergraduate studies I was part of some summer programs as a fellow such as Big Data Summer Institute 2022 (University of Michigan), Summer Geometry Initiative 2023 (MIT) and EMALCA 2023 (Escuela de Matemáticas de América Latina y el Caribe).

In my spare time I enjoy watching films, soccer, cycling, swimming and playing the guitar :)

Publications and Preprints:

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A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces

Ricardo Gloria-Picazzo, Yingying Wu, Shing-Tung Yau

preprint, 2026: arXiv:2603.21035

Projects, Blogs and Notes:

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Summer Geometry Initiative 2023

As a MIT SGI 2023 fellow I worked on two research projects led by faculty and research scientists in the field of Geometry Processing:

  • Geometric Surface Characterization , mentored by Dr. Yingying Wu.
  • Intrinsic Mollification, mentored by Dr. Keenan Crane.

    • Project 1 Image

    Notes on Discrete Exterior Calculus

    Final project intended for a PDE course in the fall of 2022. An introduction to basic concepts to Discrete Exterior Calculus is presented. Theoretical aspects are widely explained through drawings, figures and examples. You can access this project through here.

    Talks, Conferences and Events:

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    Houston and College Station Learning Seminar 2026: Seiberg-Witten Equations

    Rice University / Texas A&M / University of Houston. Spring 2026.

    I take part in the Houston and College Station Learning Seminar. I contributed with the first talk of the semester on vector bundles and connections on January 23, 2026 at Rice University.

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    SIAM Texas-Lousiana Sectional Meeting 2025

    University of Texas at Austin. September 2025.

    I presented the talk: "Spectra of Hodge Laplacians as a Global Shape Descriptor for Surface Classification" at the minisymposium Applied Computational Topology and Geometry.

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    Young Topologist Meeting 2025

    Stockholm, Sweden. June 2025.

    I was part of YTM 2025! and presented a contributed talk: "Spectra of Hodge Laplacians as a Global Shape Descriptor for Surface Classification".

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    Tu investigación en 3 minutos

    University of Houston. April 2025.

    As a SACNAS-UH officer, I co-organized the first "3 Minute Thesis Competition" in Spanish at UH, in which laninxs/hispanic students in STEM, both from undergraduate and graduate school, had a space to communicate science in Spanish!

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    Interactions of Statistics and Geometry II

    National University of Singapore. October 2024.

    I was honored to be invited to take part in ISAG II, attending lectures and talks. Also, my first time out of America! (and by "America" I mean the continent).

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    Seminario Junior de Estudiantes DEMAT

    Universidad de Guanajuato. April 2023.

    I presented the talk "Solving Differential Equations with Discrete Exterior Calculus" at the seminar organized by and for undergraduate math students at the University of Guanajuato.