I got my BSc at Universidad Nacional de Colombia, in my hometown Medellin, where I wrote a monograph on De Rham cohomology.
My PhD research focused in understanding and formalizing, from a mathematical perspective, the relationship between structure and function in a very special family of Threshold-Linear Networks. I used these networks to (1) model various neural functions and (2) derive theoretical insights about their dynamics. Broadly, I am interested in how the architecture of a neural network shapes its dynamics.
I like network dynamics, topology and neuroscience. I also like teaching, libraries and public transportation. 🚲
Selected presentations
🇨🇴 Talk: III Conferencia Colombianas de Matemáticas Aplicadas e Industriales, June 2023 [pdf]
Talk: Special Session of AMS Sectional Meeting, Oct 2023
Poster: Benzon Symposium 67, Sept 2023 [pdf]
Talk: Flatiron CCN Junior Theoretical Neuroscientist's Workshop, Jun 2023
Talk: NYU CoNNExINS, Jun 2023
Talk: SMB Diversity in Math Bio summer seminar, Jun 2023
Poster: Society for Neuroscience, Nov 2022 [pdf]
Talk: Penn State Theoretical biology seminar, Oct 2022
Poster: Penn State Center for Neural Engineering retreat, Aug 2022
Talk: BIRS Dynamical Principles of Biological and Artificial Neural Networks Workshop, Jan 2022 [video]
Poster: 30th Annual Computational Neuroscience Meeting (CNS), Jul 2021
Publications
Sequential control of coexistent attractors using combinatorial threshold-linear networks. J. Londono Alvarez, K. Morrison, C. Curto. In preparation.
Sequence generation in inhibition-dominated neural networks (summary of Sequential attractors in combinatorial threshold-linear networks). C. Parmelee, J. Londono Alvarez, C. Curto, K. Morrison.
Sequential attractors in combinatorial threshold-linear networks. C. Parmelee, J. Londono Alvarez, C. Curto, K. Morrison.
Teaching
I usually teach Linear Algebra (MATH220) during the fall semester at Penn State. I won a teaching award in Fall 2022.