Mathematical Challenge 1: The Mathematics of the Brain

Mathematical Challenge 2: The Dynamics of Networks

Mathematical Challenge 3: Capture and Harness Stochasticity in Nature

Mathematical Challenge 4: 21st Century Fluids

Mathematical Challenge 5: Biological Quantum Field Theory

Mathematical Challenge 6: Computational Duality

Mathematical Challenge 7: Occam’s Razor in Many Dimensions

Mathematical Challenge 8: Beyond Convex Optimization

Mathematical Challenge 9: What are the Physical Consequences of Perelman’s Proof of Thurston’s Geometrization Theorem?

Mathematical Challenge 10: Algorithmic Origami and Biology

Mathematical Challenge 11: Optimal Nanostructures

Mathematical Challenge 12: The Mathematics of Quantum Computing, Algorithms, and Entanglement

Mathematical Challenge 13: Creating a Game Theory that Scales

Mathematical Challenge 14: An Information Theory for Virus Evolution

Mathematical Challenge 15: The Geometry of Genome Space

Mathematical Challenge 16: What are the Symmetries and Action Principles for Biology?

Mathematical Challenge 17: Geometric Langlands and Quantum Physics

Mathematical Challenge 18: Arithmetic Langlands, Topology, and Geometry

Mathematical Challenge 19: Settle the Riemann Hypothesis

Mathematical Challenge 20: Computation at Scale

Mathematical Challenge 21: Settle the Hodge Conjecture

Mathematical Challenge 22: Settle the Smooth Poincare Conjecture in Dimension 4

Mathematical Challenge 23: What are the Fundamental Laws of Biology?

Reference:


https://www.fbo.gov/?s=opportunity&mode=form&tab=core&id=7dde673beaaf9fc8f648f4c78036934d&tab=documents&tabmode=list