I earned my Ph.D. in 2025 from the Institute of Mathematics at the Universidad de Talca in Chile, where I also completed my Master’s degree in 2021. Both degrees were completed under the supervision of Professor Stephen Griffeth. I earned my undergraduate degree from the Escuela Politécnica Nacional in 2018.
My research lies in the representation theory of rational Cherednik algebras and (double) affine Hecke algebras, with particular interest in the geometric structures underlying these algebras and their categories of representations.
Contact information:
Instituto de Matemáticas, Universidad de Talca
e-mail: cajila@yachaytech.edu.ec
carlos.ajila.epn@gmail.com
I'm constantly asked, "What is the best way to learn about X topic?" or "Where can I find a quick review of Y proof?" To help answer these frequent inquiries, I've gathered the core references I always suggest into this (still growing) resource list.