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

  2. Existence of positive solutions for φ-Laplacian systems

  3. Essential dimension of simple algebras

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

  5. Entropy of symplectic automorphisms

  6. Entropies on covers of compact manifolds

  7. Elliptic equations with singular drifts in critical spaces

  8. Diophantine equations and moduli spaces with nonlinear symmetry

  9. Descent in derived algebraic geometry

  10. Deformation spaces of Kleinian groups and beyond

  11. Creation of concepts for prediction models and quantitative trading

  12. Counting number fields and its applications

  13. Counting circles in Apollonian circle packings and beyond

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

  15. Contact topology of singularities and symplectic fillings

  16. Contact instantons and entanglement of Legendrian links

  17. Contact Homology and Constructions of Contact Manifolds

  18. Conservation laws and differential geometry

  19. Connes's Embedding Conjecture and its equivalent

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

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