CV

Affiliations

Full member, July 2020. 

Affiliate Member, February 2017


Past Thesis

-Université Franche-Compte,

Master 1 in Modelisation Statistique, 2022-2023,

Thesis: "Topological Descriptors for Machine Translation and Word Embeddings" 

Advisors: Mathieu Carrière, Inria

      Camelia Goga, Université Franche-Comte. 


– Université Sorbonne,

Master 2 in Mathematiques Fondamentales, 2020-2021.

Thesis:" A proof of the Hirzebruch-Riemann-Roch theorem on a surface"

Advisor: Simon Scott University King’s College of London.


– Université de Bourgogne,

Master 2 in Mathematical Physics, 2019-2020.

Thesis: " The Lie group approach to geometry: the hyperbolic plane SL(2,R) -case."

Advisors: José Luis Jaramillo, Université de Bourgogne and Michael Semenov-Tian-Shansky - Professor Emeritus Université de Bourgogne.


– Université de Bourgogne,

Master 1 in Mathematical Physics, 2018-2019.

Thesis: “Spectral Geometry of the Laplacian: application to the Quasi-Geostrophic ocean and an invitation to the Black Holes apparent horizon”.

Advisor: José Luis Jaramillo Université de Bourgogne.


– BSc Mathematics, 2009-2016.

Thesis: “The heat flow out of a compact Riemannian Surfaces”.

Advisor: Alexander Cardona, Assistant Professor, Universidad de los Andes.

Co-advisor: Alexander Quintero, Assistant Professor, Universidad del Valle.

Cirm, 2019. 

Stockholm, 2022. 

Conferences & Seminars

-TDA Seminar Datashape,

Inria Datashape, Poquerolles France 2023. 


Mini workshop on Geometry and Mechanics

Antwerpen 2022


Workshop of the GAMM Activity Group APPLIED OPERATOR THEORY, 

Stockholm University, 2022. 


– Higher structures in QFT and string theory (ONLINE)

A Virtual Conference for Junior Researchers Switzerland, 2021.


– Quantum Fields, Geometry and Representation Theory 2021 (ONLINE).

International Centre for Theoretical Sciences, 2021.


– RAW Graduate School (online)

Cergy Paris Université, 2021.


– Séminaire de Mathématiques Supérieures 2021: Microlocal Analysis:

Theory and Applications. Montreal University, 2021.


– Generalized Functions Online Workshop

Online, 2021.


– Encuentro de Mujeres Matemáticas: Celebrating Women in Mathematics.

Pamplona University, Pamplona-Colombia, 2021.


– Winter School Master Class: Complex Geometry.

Cirm, Marseille-Luminy, 2019.


– Structures of 3 Manifolds Groups.

Cirm, Marseille-Luminy, 2018.


– Non-Commutative Geometry,

Summer School, Villa de Leyva, Colombia, 2016.


– Geometric, Algebraic and Topological Methods for Quantum Field Theory,

Summer School, Villa de Leyva, Colombia, 2015.


– International Conference on Applied Mathematics and Informatics,

San Andres, Colombia 2014.


– National School of History and Mathematics Education,

Cali, Colombia 2013.


– School of Geometry,

Cali, Colombia 2012.


– Colombian Congress of Mathematics,

CCM-2011 Bucaramanga, Colombia 2011.


– X Lecture Mathematics, module: Functions and Trigonometry,

Universidad del Valle 2009.

Talks

– “The heat flow out of a compact Riemannian Surface”, in Non-Commutative Geometry, Summer School, Villa de Leyva, Colombia, 2016.


  – “The heat flow out of a compact Riemannian Surfaces”, in Mathematics meets

Physics, La Havana, Cuba, 2017.


– “Introduction to Heat Kernels on Manifolds and Applications”, in Encuentro

de Mujeres Matematicas Colombia, 2021.


– “Introduction to the Heat Kernel techniques and some physical applications”,

in Ghent Methusalem Junior Seminar, Belgium, Ghent 2021.


References