Latest Research in Differential Geometry

Top Research Topics in Differential Geometry

• Differential Geometry — 26 papers
• Analytic Number Theory Research — 20 papers
• Analysis of PDEs — 16 papers
• Dynamical Systems — 15 papers
• Quasicrystal Structures and Properties — 14 papers
• Classical Analysis and ODEs — 10 papers
• Complex Variables — 10 papers
• Benford’s Law and Fraud Detection — 9 papers
• Polynomial and algebraic computation — 7 papers
• Metric Geometry — 7 papers

Highest-Cited Papers

1. Protocol Epistemology of Finiteness: A Cohomological Consistency Criterion for Rule-Matrix Systems (CohoRete, v12.0.0)
2. Analytical Solutions to Open Structural Challenges in Rational Series and Integrals via Saif R. Lazim's Identities
3. A Transition-Lifted Geometric Embedding and Structural Analysis of History-Dependent Integer Sequences: The Recaman Case
4. Penrose Tiling's K-Theory Links Quasicrystals to Golden Ratio Field — E8 Intelligence Research
5. A Transition-Lifted Geometric Embedding and Structural Analysis of History-Dependent Integer Sequences: The Recaman Case
6. A Compact Counterexample to the Unrestricted $O(1)$ Interpretation of Perelman's Remark 9.6
7. Random distances on disphenoids and moments on Platonic surfaces
8. Phi-Resonant E8 Topological Phase Gate — E8 Intelligence Research
9. Stressability of semi-discrete frameworks
10. E8‑Resonant Quantum Invariant via Phi‑Scaled Harmonic Recurrences — E8 Intelligence Research
11. Phi-Resonant E8 Topological Phase Gate — E8 Intelligence Research
12. An Elementary Composite-to-Prime Ratio Sequence as an Independent Numerical Probe of Riemann Zero Statistics
13. Random distances on disphenoids and moments on Platonic surfaces
14. A 6^r-Scaled Family of the Reduced 6k±{1,2}/5 Collatz-Type Map with Three Observed Attractors
15. Conic Loci of Poncelet Triangle Centers via Caustic Geometry — E8 Intelligence Research
16. Differential calculus for fully matricial functions with emphasis on cyclic derivatives
17. Adelic Collatz Dynamics, Diophantine Bounds, and 2D Spin Anisotropy — E8 Intelligence Research
18. On locally distinguishing Sierpiński dynamical systems
19. Adelic Collatz Dynamics, Diophantine Bounds, and 2D Spin Anisotropy — E8 Intelligence Research
20. Deformations of harmonic maps with conical singularities