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  1. How to solve linear systems in practice

  2. High dimensional nonlinear dynamics

  3. Heavy-tailed large deviations and deep learning's generalization mystery

  4. Hamiltonian dynamics, Floer theory and symplectic topology

  5. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

  6. Green’s function for initial-boundary value problem

  7. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  8. Geometry, algebra and computation in moduli theory

  9. Geometric structures and representation spaces

  10. Geometric Langlands theory: A bridge between number theory and physics

  11. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  12. Gaussian free field and conformal field theory

  13. From mirror symmetry to enumerative geometry

  14. Freudenthal medal, Klein medal 수상자의 수학교육이론

  15. Free boundary problems arising from mathematical finance

  16. Fixed points of symplectic/Hamiltonian circle actions

  17. Fermat´s last theorem

  18. Fefferman's program and Green functions in conformal geometry

  19. Fano manifolds of Calabi-Yau Type

  20. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

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