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  1. Diophantine equations and moduli spaces with nonlinear symmetry

  2. Descent in derived algebraic geometry

  3. Deformation spaces of Kleinian groups and beyond

  4. Creation of concepts for prediction models and quantitative trading

  5. Counting number fields and its applications

  6. Counting circles in Apollonian circle packings and beyond

  7. Convex and non-convex optimization methods in image processing

  8. Contact topology of singularities and symplectic fillings

  9. Contact topology and the three-body problem

  10. Contact instantons and entanglement of Legendrian links

  11. Contact Homology and Constructions of Contact Manifolds

  12. Conservation laws and differential geometry

  13. Connes's Embedding Conjecture and its equivalent

  14. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  15. Congruences between modular forms

  16. Conformal field theory in mathematics

  17. Conformal field theory and noncommutative geometry

  18. Compressible viscous Navier-Stokes flows: Corner singularity, regularity

  19. Combinatorics and Hodge theory

  20. Combinatorial Laplacians on Acyclic Complexes

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