Juliana Londono Alvarez

Juliana Londono Alvarez

Departmetn of Applied Mathematics

Dr. Londono Alvarez earned her Ph.D. in Mathematics from Penn State, advised by Professor Carina Curto. Her dissertation focused on understanding and formalizing, from a mathematical perspective, the relationship between structure and function in a special family of threshold-linear networks. She used these networks to (1) model various neural functions and (2) derive theoretical insights about their dynamics. Broadly, she is interested in how the architecture of a neural network shapes its dynamics. Dr. Londono Alvarez’s research interests include how we can use this knowledge to develop more efficient models of brain functions like locomotion and complex movement sequences, and translating theoretical research to further bridge the gap between life sciences and mathematics. She got my BSc at Universidad Nacional de Colombia, in her hometown Medellín, where she wrote a monograph on De Rham cohomology.