email: juliana_londono_alvarez at brown dot edu
I am a Provost's STEM Postdoctoral Fellow in the Division of Applied Mathematics at Brown University. My research investigates how network architecture shapes dynamics, with a particular focus on sequences and oscillations. Using tools from dynamical systems and graph theory, I analyze graph-based Threshold-Linear Networks (TLNs) to formalize the relationship between structure and function. The goal is to derive theoretical principles that can be applied to understand neural computations. A central part of my work involves constructing and analyzing modular networks to understand how components can combine to produce specific dynamic behaviors. This work builds on my Ph.D. in Mathematics from Penn State University with Carina Curto. I got my B.Sc. in Mathematics from Universidad Nacional de Colombia (where I wrote a monograph on De Rham cohomology).
Selected presentations
Talk: NITMB MathBio Convergence Conference, Aug 2025 [video and slides]
🇨🇴 Talk: III Conferencia Colombiana 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. SIAM Journal on Applied Dynamical Systems, Vol. 21, Issue 2, pp. 735-1661.
Teaching
Instructor
- MATH220 – Matrices, Pennsylvania State University (3 semesters)
- Vector Geometry, Universidad Nacional de Colombia (2 semesters)
Teaching Assistant
- Linear Algebra, Universidad Nacional de Colombia (1 semester)
- Vector Geometry, Universidad Nacional de Colombia (3 semesters)