Latest Research in Geometric Topology and Arithmetic Structures

Top Research Topics in Geometric Topology and Arithmetic Structures

• Algebraic Geometry — 426 papers
• Differential Geometry — 324 papers
• Quasicrystal Structures and Properties — 256 papers
• Number Theory — 242 papers
• Geometric Topology — 178 papers
• Representation Theory — 167 papers
• Analytic Number Theory Research — 120 papers
• Algebraic Topology — 119 papers
• Algebraic Geometry and Number Theory — 115 papers
• Homotopy and Cohomology in Algebraic Topology — 109 papers

Highest-Cited Papers

1. From Nothing to Fold: A Premise-Free, Parameter-Free and Machine-Closed Foundation for Smithian Fold Theory (10 citations)
2. Fay identities for polylogarithms on higher-genus Riemann surfaces (4 citations)
3. Rigidity of Lipschitz map using harmonic map heat flow (3 citations)
4. Effective Archimedean Stark Theorems over Real Quadratic Fields: Quadratic Support, Shintani Transfer, and CM Descent (1 citations)
5. Effective Computation of Centralizers of ODOs (1 citations)
6. Structural Lemmas for the First-Prime Window of the Weil Quadratic Form
7. Making Surfaces Biharmonic by Conformal Reparametrization in Anti-de Sitter Three-Space
8. $δ$-Poisson and transposed $δ$-Poisson algebras
9. Hodge numbers for orbifolds of Calabi-Yau threefolds Fermat type and the Roan pairs
10. Rigidity and Structural Asymmetry of Bounded Solutions
11. Algebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulation
12. Steinberg Algebras of Ample Semicategories and their Boolean-Cartan Restriction Semigroups
13. Structural properties and tilting correspondences of perfectoid towers
14. Pólya's Conjecture for the Neumann Eigenvalues on Euclidean Balls
15. New Complex-Valued Harmonic Morphisms via Rational Exponents
16. A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications
17. The Non-Archimedean Ryu-Takayanagi Correspondence: An Exact Isomorphism for p-adic L-Functions
18. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
19. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
20. Primal–Dual Mellin Neutralization for Arithmetic Quantum Observables: Incomplete-Eisenstein Matrix Elements, Exact Harmonic Variance, and Noncommuting Limits

Sub-Regions

• Quasicrystal Structures and Properties — 1,441 papers
• Algebraic Geometry — 851 papers
• Analytic Number Theory Research — 660 papers
• Differential Geometry — 482 papers
• Number Theory — 466 papers
• Combinatorics — 333 papers