Unsolved Problems

Create a mathematically consistent, predictive model of brain function that goes beyond biological inspiration....

Apply quantum and statistical field theory methods to model and potentially control pathogen evolution....

Develop the mathematics required to control the quantum world for computation....

Identify governing principles for biological systems, analogous to physical laws....

Extend understanding of symmetries and action principles in biology to include robustness, modularity, evolvability, and variability....

Connect the Langlands program to fundamental physics symmetries....

Explore homotopy theory's role in Langlands programs....