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Carlos Daniel Velázquez Mendoza is a Ph.D. student in the Graduate Program in Mathematical Sciences at Universidad Nacional Autónoma de México (UNAM). His interests include global analysis, geometric analysis, Sobolev spaces on manifolds and vector bundles, geometric PDE, variational methods, and topology.

Education

2025–present · Ph.D. in Mathematics, UNAM
Project: Trace Theorems in Riemannian Manifolds with Boundary
Advisor: Dra. María de los Ángeles Sandoval Romero

2023–2025 · M.Sc. in Mathematics, UNAM
Thesis: The Rellich-Kondrashov Theorem in Riemannian Manifolds
Advisor: Dra. María de los Ángeles Sandoval Romero
GPA: 10/10. Latin Honors.

2024 · B.Sc. in Computer Science, UNAM
Current GPA: 9.8/10.

2018–2022 · B.Sc. in Mathematics, UNAM
Thesis: Maximal P-Extensions and Realcompact Spaces
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Advisor: Dr. Alejandro Darío Rojas Sánchez
GPA: 9.9/10. Latin Honors.

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