Daniel Posada-Buriticá
PhD Student in Mathematics
Centro de Investigación en Matemáticas (CIMAT), México
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About Me:
I am a PhD student in Mathematics at the Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, México, currently working under the supervision of Jorge Olivares.
Since 2022, I have been a co-organizer of the Seminario de Estudiantes de los Posgrados del CIMAT.
In the same year, I completed my Master's degree in Mathematics at CIMAT, also under the supervision of Jorge Olivares.
I am originally from Cali, Colombia, where I completed my undergraduate studies in Mathematics at the Universidad del Valle in 2020, under the supervision of Juan Miguel Velázquez and Alexander Quintero.
Outside mathematics, I enjoy cinema, traveling, and spending time with family and friends.
Research Interests:
My research interests lie in algebraic geometry, particularly in holomorphic foliations by curves.
My research focuses on two intertwined goals:
Understanding when a projective submanifold supports foliations that leave it invariant, following the modern formulation of the Poincaré problem.
Studying when a foliation is uniquely determined by its singular locus, a phenomenon commonly referred to as rigidity.
I am also interested in toric geometry, moduli spaces, and the Brill–Noether problem.
Preprint:
J. Olivares, D. Posada-Buriticá, Foliations on Projective Complete Intersection K3 Surfaces, 2025. (arXiv).
Some Recorded Talks:
De los sistemas dinámicos a la geometría algebraica. CONVImaTE, Universidad del Valle, 2025.
Foliations on Projective K3 Surfaces. Foliations, Complex Geometry, and Painlevé Equations: Celebrating the 60th Birthday of Frank Loray, IMPA, 2025.
Curriculum Vitae:
You can download my CV here.
Contact:
Feel free to contact me at daniel.posada@cimat.mx.
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