Latest Research in Geometric Analysis and Curvature Flows

Top Research Topics in Geometric Analysis and Curvature Flows

• Differential Geometry — 13 papers
• Geometric Analysis and Curvature Flows — 5 papers
• Mathematical Physics — 4 papers
• Dynamical Systems — 4 papers
• Quantum many-body systems — 3 papers
• Mathematical Dynamics and Fractals — 3 papers
• Analysis of PDEs — 3 papers
• Topological and Geometric Data Analysis — 3 papers
• Polynomial and algebraic computation — 2 papers
• Geometric Topology — 2 papers

Highest-Cited Papers

1. Canonical Minkowski-Reduced Basis, Certified Regulator, and Arithmetic Spectroscopy of the Alpöge–Howell–Claude Elliptic Curve of Rank >= 31
2. A Topodynamic Field Theory and the Resolution of the Riemann Hypothesis via Invariant Geometric Operators
3. The Collateral Impact of the Three-Dimensional Jacobian Counterexample: a Source-Verified Cascade
4. From Three to Fifteen Grade Reciprocity, Phase-Spatial-Chirality, and the A₃ Completion Problem
5. Steklov isospectrality of conformal metrics
6. Non-Hitchin Borel Anosov representations from surface groups to $\mathrm{SL}_{3k}\mathbb{R}$
7. The Non-Injective Foundations Sub-Programme
8. The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture
9. LANA Project: Computational Verification of IUT Theory for abc Conjecture — E8 Intelligence Research
10. The Non-Injective Foundations Sub-Programme
11. Hamiltonian stationary Lagrangian surfaces in complex space forms with constant-length gradient of the mean curvature
12. The Born–Infeld Saturation Margin of the Chiral Modulus: Antisymmetric Structure, Lorentzian Genus, and Electric Determination of the Generation Split
13. Liouville integrability of the two-parameter deformed A_{2N} cluster maps for every N
14. Stability and rigidity of axisymmetric marginally outer trapped two-spheres
15. Parallel Radical and Screen Distributions on Lightlike Hypersurfaces of Indefinite Statistical Manifolds
16. Prime-Power Activation Geometry in Finite-Scale Weil Operators: Quadratic Rank, Intrinsic Curvature, and an Arithmetic Weyl Law
17. Stability of Minkowski-type inequalities in certain warped product spaces
18. A formal Bethe/gauge correspondence for classical gauge groups
19. PRIMBIT toward Tube(Fib): Algebraic Framework, Prism Realization, and a Falsifiable Certification Program
20. Cohomological beta function