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  1. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

  2. Structures of Formal Proofs

  3. Study stochastic biochemical systems via their underlying network structures

  4. Subgroups of Mapping Class Groups

  5. Subword complexity, expansion of real numbers and irrationality exponents

  6. Sums of squares in quadratic number rings

  7. Symmetry Breaking in Quasi-1D Coulomb Systems

  8. Symplectic Geometry, Mirror symmetry and Holomorphic Curves

  9. Symplectic topology and mirror symmetry of partial flag manifolds

  10. The classification of fusion categories and operator algebras

  11. The Lagrange and Markov Spectra of Pythagorean triples

  12. The Mathematics of the Bose Gas and its Condensation

  13. The phase retrieval problem

  14. The process of mathematical modelling for complex and stochastic biological systems

  15. The Shape of Data

  16. The significance of dimensions in mathematics

  17. Theory and applications of partial differential equations

  18. Topological aspects in the theory of aperiodic solids and tiling spaces

  19. Topological surgery through singularity in mean curvature flow

  20. Topology and number theory

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