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Personal Information
Personal Information
Current Affiliation
Current Affiliation
PhD Candidate at RPTU Kaiserslautern
Field of study: Stochastische Analysis und Differentialgeometrie.
Advisor: Prof. Dr Martin Grothaus
Qualifications Passed:
Probability Theory (March 2024)
Operator Semigroups (September 2024)
Research assistant:
Summer Semester SS 26: Functional Analysis (Prof. Dr Klaus Ritter)
Winter Semester WS 25/26: Probability Theory (Prof. Dr Klaus Ritter)
Summer Semester SS 25: Functional Analysis (Prof. Dr Martin Grothaus)
Winter Semester WS 24/25: Probability Theory (Prof. Dr Martin Grothaus)
Scholarships, Grants, and Awards
Scholarships, Grants, and Awards
2018–2020
Research Scholarship, Université de Bourgogne (CNRS), France
2023–2026
Doctoral Scholarship, RPTU Kaiserslautern, Germany
Travel and Research Grants
Travel and Research Grants
2025
Travel Grant (300 €), TU-Nachwuchsring
• Workshop on Stochastic Analysis and Applications (June 16–20, 2025)
• Young Summer School on Stochastic Analysis, Växjö, Sweden (June 11–14, 2025)
2025
Research Stay Grant (300 €), TU-Nachwuchsring - Denmark
Academic Distinctions
2011
Third Prize, Mathematical Olympiad (University Level), Universidad Autónoma de Cali
2008
First Prize, XVII Colombian Mathematical Olympiad (Intermediate Level)
2008
First Prize, Regional Mathematical Olympiad (High School Level), Universidad del Valle
Publications
Publications
• Hypocoercive Langevin dynamics on the Lie group SE(2). Martin Grothaus and Andrea V Hurtado-Quiceno. Accepted in Differential Geometry in Latin America 2025, Springer-Birkhäuser (Trends in Mathematics Series), 2026.https://arxiv.org/abs/2605.12175 .
• The constant in the Sobolev inequality and the boundedness of subelliptic operators on compact Lie groups.
Duvan Cardona and Andrea V Hurtado-Quiceno. To appear in Communications in Analysis and Mechanics (2025).
• Sobolev inequality and mapping properties of pseudo-differential operators on compact Lie groups.
Duvan Cardona and Andrea V Hurtado-Quiceno. To appear in Trends in Mathematics (2025).
Additional Academic Training
Additional Academic Training
• Specialization in Quantum Formalism (Group Theory Track),
Quantum Formalism Academy, 2026–Present.
• Introduction to Dynamics and Control on Lie Groups,
Online Mini-Course, Universidade Estadual de Maringá (UEM), Brazil, May–July 2026.
• Complex Analysis,
Instituto de Matemática Pura e Aplicada (IMPA), Brazil, 2017.
Research Visits
Research Visits
Denmark, October 2025 with Professor Fabrice Baudoin
Past Affiliations
Past Affiliations
Intern at Inria in Topological Data Analysis (TDA). (Sophia Antipolis). April 2023- August 2023.
Université Franche-Comte. Besancon 2022-2023
Université Sorbonne (Institute Pierre et Marie Curie). Paris 2020-2021.
Universite Bourgogne. Dijon 2018-2020.
Universidad del Valle. Cali-Colombia 2009-2016.
Past Advisors
Past Advisors
Mathieu Carrière. (Inria) 2022-2023
Camelia Goga. (Université Franche-Comte) 2022-2023
Simon Scott. (King's College London) 2020-2021.
Jose Luis Jaramillo. (Université de Bourgogne ) 2018-2020.
Michael Semenov-Tian-Shansky. (Université de Bourgogne) 2019-2020.
Alexander Cardona Guio. (Universidad de los Andes) 2015-2016.
Michael Semenov-Tian-Shansky and Jose Luis Jaramillo. Dijon, December 11, 2025.
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