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  1. High dimensional nonlinear dynamics

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

  3. Hamiltonian dynamics, Floer theory and symplectic topology

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

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

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

  7. Geometry, algebra and computation in moduli theory

  8. Geometric structures and representation spaces

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

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

  11. Gaussian free field and conformal field theory

  12. From mirror symmetry to enumerative geometry

  13. Freudenthal medal, Klein medal 수상자의 수학교육이론

  14. Free boundary problems arising from mathematical finance

  15. Fixed points of symplectic/Hamiltonian circle actions

  16. Fermat´s last theorem

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

  18. Fano manifolds of Calabi-Yau Type

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

  20. Existence of positive solutions for φ-Laplacian systems

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