1. Naked Singularities in Einstein Vacuum Equations: Explores solutions to the Einstein vacuum equations, specifically focusing on naked singularities in the exterior solution.
2. Lo Estimates for Complex Monge-Ampère Equations: Discusses estimates related to complex Monge-Ampère equations, a topic in partial differential equations.
3. Frobenius Structure Theorem for Affine Log Calabi-Yau Varieties:Investigates the Frobenius structure theorem for certain algebraic varieties with applications to Calabi-Yau varieties.
4. Proof of the Erdős-Faber-Lovász Conjecture:Presents a proof for the Erdős-Faber-Lovász conjecture, likely related to graph theory or combinatorics.
5. Parabolicity Conjecture of F-Isocrystals:Explores the parabolicity conjecture in the context of F-isocrystals, which are objects in algebraic geometry.
6. High Rank Invariant Subvarieties: Discusses invariant subvarieties in algebraic geometry, specifically those with high rank.
7. Compact Moduli of K3 Surfaces: Examines compact moduli spaces related to K3 surfaces, which are special types of algebraic surfaces.
8. Near Optimal Spectral Gaps for Hyperbolic Surfaces: Investigates spectral gaps for hyperbolic surfaces and aims for near-optimal results.
9. Wall Crossing for Moduli of Stable Log Pairs:Explores wall crossing phenomena in the moduli space of stable log pairs, likely in algebraic geometry.
10. Corrections and Disparity in Selmer Ranks:Contains corrections to the averaged Colmez conjecture and addresses issues related to Selmer ranks of quadratic twists of elliptic curves.
11. Universality for Lozenge Tiling Local Statistics: Discusses universality in the context of statistical properties related to lozenge tilings.
12. Regularity of Minimal Surfaces near Quadratic Cones:Investigates the regularity of minimal surfaces in proximity to quadratic cones.
13. Statistical Dynamics of a Hard Sphere Gas: Explores the statistical dynamics of a hard sphere gas, likely involving the fluctuating Boltzmann equation.
14. Characterizing Finitely Generated Fields: Discusses a characterization of finitely generated fields based on a single field axiom.
15. Schur Multipliers in Schatten-von Neumann Classes: Investigates Schur multipliers within Schatten-von Neumann classes, likely in functional analysis.
16. Wreath-like Products and W"-Superrigidity: Explores wreath-like products of groups and their von Neumann algebras, specifically W"-superrigi
2. Lo Estimates for Complex Monge-Ampère Equations: Discusses estimates related to complex Monge-Ampère equations, a topic in partial differential equations.
3. Frobenius Structure Theorem for Affine Log Calabi-Yau Varieties:Investigates the Frobenius structure theorem for certain algebraic varieties with applications to Calabi-Yau varieties.
4. Proof of the Erdős-Faber-Lovász Conjecture:Presents a proof for the Erdős-Faber-Lovász conjecture, likely related to graph theory or combinatorics.
5. Parabolicity Conjecture of F-Isocrystals:Explores the parabolicity conjecture in the context of F-isocrystals, which are objects in algebraic geometry.
6. High Rank Invariant Subvarieties: Discusses invariant subvarieties in algebraic geometry, specifically those with high rank.
7. Compact Moduli of K3 Surfaces: Examines compact moduli spaces related to K3 surfaces, which are special types of algebraic surfaces.
8. Near Optimal Spectral Gaps for Hyperbolic Surfaces: Investigates spectral gaps for hyperbolic surfaces and aims for near-optimal results.
9. Wall Crossing for Moduli of Stable Log Pairs:Explores wall crossing phenomena in the moduli space of stable log pairs, likely in algebraic geometry.
10. Corrections and Disparity in Selmer Ranks:Contains corrections to the averaged Colmez conjecture and addresses issues related to Selmer ranks of quadratic twists of elliptic curves.
11. Universality for Lozenge Tiling Local Statistics: Discusses universality in the context of statistical properties related to lozenge tilings.
12. Regularity of Minimal Surfaces near Quadratic Cones:Investigates the regularity of minimal surfaces in proximity to quadratic cones.
13. Statistical Dynamics of a Hard Sphere Gas: Explores the statistical dynamics of a hard sphere gas, likely involving the fluctuating Boltzmann equation.
14. Characterizing Finitely Generated Fields: Discusses a characterization of finitely generated fields based on a single field axiom.
15. Schur Multipliers in Schatten-von Neumann Classes: Investigates Schur multipliers within Schatten-von Neumann classes, likely in functional analysis.
16. Wreath-like Products and W"-Superrigidity: Explores wreath-like products of groups and their von Neumann algebras, specifically W"-superrigi
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