1. Essential dimension of simple algebras

  2. Equations defining algebraic curves and their tangent and secant varieties

  3. Entropy of symplectic automorphisms

  4. Entropies on covers of compact manifolds

  5. Elliptic equations with singular drifts in critical spaces

  6. Diophantine equations and moduli spaces with nonlinear symmetry

  7. Descent in derived algebraic geometry

  8. Deformation spaces of Kleinian groups and beyond

  9. Creation of concepts for prediction models and quantitative trading

  10. Counting number fields and its applications

  11. Counting circles in Apollonian circle packings and beyond

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

  13. Contact topology of singularities and symplectic fillings

  14. Contact instantons and entanglement of Legendrian links

  15. Contact Homology and Constructions of Contact Manifolds

  16. Conservation laws and differential geometry

  17. Connes's Embedding Conjecture and its equivalent

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

  19. Congruences between modular forms

  20. Conformal field theory in mathematics

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