Latest Research in Differential Geometry

Top Research Topics in Differential Geometry

• Differential Geometry — 49 papers
• Benford’s Law and Fraud Detection — 19 papers
• Polynomial and algebraic computation — 19 papers
• Analytic Number Theory Research — 14 papers
• Dynamical Systems — 12 papers
• Geometric and Algebraic Topology — 10 papers
• Advanced Mathematical Theories and Applications — 9 papers
• Operator Algebras — 8 papers
• Spectral Theory in Mathematical Physics — 8 papers
• Analysis of PDEs — 8 papers

Highest-Cited Papers

1. Fine-Phase Defect Rigidity in Record-Critical Accelerated Collatz Cycles (2 citations)
2. Three Harmonic Log-Distances Characterize Holomorphic and Antiholomorphic Maps
3. Eigenvalues of Penrose Tiling Substitution Matrix: Golden Ratio Squared — E8 Intelligence Research
4. Double-Valued Irreps and F4 Structure in Baryon Interpolating Fields — E8 Intelligence Research
5. Three Harmonic Log-Distances Characterize Holomorphic and Antiholomorphic Maps
6. A Transition-Lifted Geometric Embedding and Structural Analysis of History-Dependent Integer Sequences: The Recaman Case
7. Eigenvalues of Penrose Tiling Substitution Matrix: Golden Ratio Squared — E8 Intelligence Research
8. Canonical Minkowski-Reduced Basis, Certified Regulator, and Arithmetic Spectroscopy of the Alpöge–Howell–Claude Elliptic Curve of Rank >= 31
9. Double-Valued Irreps and F4 Structure in Baryon Interpolating Fields — E8 Intelligence Research
10. Parity Invariant Solves IMO Windmill Problem — E8 Intelligence Research
11. Fine-Phase Defect Rigidity in Record-Critical Accelerated Collatz Cycles (2 citations)
12. Exact replication and screening of tropical finiteness certificates for central configurations
13. A Compact Counterexample to the Unrestricted $O(1)$ Interpretation of Perelman's Remark 9.6
14. From fractional Lane–Emden–Serrin equation—existence, multiplicity and local behaviors via classical ODE—to fractional Yamabe metrics with singularity of “maximal” dimension (2 citations)
15. A Classification-Free Proof of the Root-Polytope Projection Theorem
16. Catalan's Constant, Mock Theta, Euler Product, Jones polynomial: All one geometry?
17. Exact replication and screening of tropical finiteness certificates for central configurations
18. A Frankel type theorem in Euclidean and hyperbolic spaces
19. Langlands Duality: Killing Form Inversion and Quantum Weyl Action — E8 Intelligence Research
20. Unifying Conic Polarity, Isogonal Conjugates, and Circular Points via Projective Involutions — E8 Intelligence Research