I am a Ph.D. Student in the department of mathematical sciences at the University of Arkansas, USA. My expected graduation date is May 2026. I was born in Barranquilla, Colombia, where I finished my Bachelor's degree in mathematics at Universidad del Norte in 2020.
Invited Talks
An explicit section of the Laudenbach-type exact sequence of the big mapping class group of Map(M_{\Gamma}) , spring 2026, 59th Spring Topology and Dynamics Conference, University of Alabama at Birmingham
Fuglede-Kadison determinants over universal Coxeter groups, Spring 2025, Redbud Topology Conference, University of Arkansas
An explicit section of the Laudenbach exact sequence of the mapping class group of connected sums of S^2\times S^1 , fall 2024, Redbud Topology Conference, University of Oklahoma
An explicit section of the Laudenbach exact sequence of the mapping class group of connected sums of S^2 \times S^1 , fall 2024, AMS Central Sectional Meeting, San Antonio, Texas
Infinite groups in geometry and topology, Graduate Student Colloquium, fall 2024, University of Arkansas
An explicit section of the Laudenbach exact sequence of the mapping class group of connect sums of S^2\times S^1 , Spring 2024, Topology seminar, University of Arkansas
The mapping class group of connect sums of S^2\times S^1 , Spring 2022, Graduate Student Colloquium, University of Arkansas
Teaching Experience
Teaching Assistant for Calculus 1, fall 2021-spring 2022
Teaching Assistant for Calculus 2, spring 2026
Teaching Assistant for Calculus 3, fall 2022-spring 2023 and spring 2024- spring 2025
Instructor of Record for College Algebra, fall 2023 and fall 2025
Fellowships and Awards
The Lawrence Jesser Toll Jr. Endowed Scholarship, awarded by the department of Mathematical Sciences, in Fulbright College of Arts & Sciences, 2022.
Joe and Ellyn Richarson Endowed Doctoral Fellowship, awarded by the department of Mathematical Sciences, in Fulbright College of Arts & Sciences, 2024. 2 of 3
The Lawrence Jesser Toll Jr. Endowed Fund, awarded by the department of Mathematical Sciences, in Fulbright College of Arts & Sciences, 2025.
Workshop Attendance
GAGTA conference Group Actions and Dynamics, June 1st- June 5th, New York, 2026
Recent Progress in Topological and Geometric Structures in Low Dimensions, SLMath March 23rd-March 27th, 2026
Introductory workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups, SLMath, January 26th-January 30th, 2026
Pathways Workshop : Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups, SLMath, January 21st-January 23rd, 2026
Topology Students Workshop, Georgia Institute of Technology, June 7th-June 10th, 2022.
Geometric Topology in New York, Columbia University, June 2nd-June 4th , 2023.
Riverside Workshop in Geometric Group Theory, Riverside, May 3rd - May 6th, 2024.
Special Geometric Structures and Analysis, St Mary’s college, June 17th -June 28th, 2024.
Topological and Geometric Structures in Low Dimensions, SLMath, July 21st-August 1st, 2025.