My name is Daniel Tolosa (he/him)
I am a PhD candidate in the Mathematics Department at Purdue University. I was born in Bogotá, Colombia, and did my BS in Mathematics in the National University of Colombia, before moving to the US for my doctoral degree.
I specialize in algebraic topology, and work on a variety of projects with various degrees of applicability. Check out Research if you would like to know more!
I am also interested in sharing, discussing and developing initiatives and ideas that promote research and higher education, as well as general mathematical culture, in Latin America and among underrepresented groups in academia.
08/15/2023 PULSe Orientation Poster Session, Purdue University
Quantifying biological patterns using persistent homology
08/06/2023 Applied Geometry & Topology Seminar, Potsdam University, Germany (online)
Quantifying biological pattern formation: a time-dynamic persistent homology approach
01/06/2024 JMM Special Session, CA, USA
Categorical cyclic homology
Mathematicians like to state an axiomatic system as a starting point, and then derive theorems. I like to share Dr Ardila's axioms on the first session of any course I teach, hoping to build the rest of the semester upon this system.
Axiom 1. Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.
These statements should not sound revolutionary, and considering the current practices of the mathematical society, they are a pressing call to action.