Latest Research in Algebraic and Categorical Topology

Top Research Topics in Algebraic and Categorical Topology

• Algebraic Geometry — 597 papers
• Number Theory — 273 papers
• Representation Theory — 226 papers
• Differential Geometry — 211 papers
• Geometric Topology — 198 papers
• Rings and Algebras — 132 papers
• Combinatorics — 119 papers
• Algebraic Topology — 114 papers
• Algebraic Geometry and Number Theory — 106 papers
• Geometric and Algebraic Topology — 99 papers

Highest-Cited Papers

1. A simple characterization of Quillen adjunctions (1 citations)
2. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
3. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
4. Pandrosion for 𝑝-th Roots
5. A Unconditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v3.0)
6. Exact invariant computations and Singer's conjecture for three degree families in rank four
7. Mathematical companion to the T3 topological model: Seifert fibration, Goldman bracket and identification of u(1), su(2), su(3)
8. On a Pascal-type theorem for lines in ℙ 3
9. Future-Minimum Critical Corridors and Beatty Clock Rigidity in Accelerated Collatz Dynamics (2 citations)
10. A Unconditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v3.0)
11. Mathematical companion to the T3 topological model: Seifert fibration, Goldman bracket and identification of u(1), su(2), su(3)
12. The Carlo Geometry Quartet: A Unified Symbolic Framework for Cycles, Complex Structure, Curvature, and Ricci‑Flat Geometry
13. Analytic Detection of Singularities in Categorified Spectral Geometry: Heat Kernels, Spectral Flow, and Obstruction Theory
14. Frustration, holonomy and projection constants: the sharp cycle gap for vector-valued sheaf cohomology on graphs
15. The order generated by a column of the SU(n)_k S-matrix is locally a numerical semigroup ring (Part I)
16. Pandrosion for 𝑝-th Roots
17. The order generated by a column of the SU(n)_k S-matrix is locally a numerical semigroup ring (Part I)
18. C*-Algebraic Structure of Penrose Hyperbolic Tilings Links Noncommutative Geometry to Aperiodic Order — E8 Intelligence Research
19. Frustration, holonomy and projection constants: the sharp cycle gap for vector-valued sheaf cohomology on graphs
20. Analytic Detection of Singularities in Categorified Spectral Geometry: Heat Kernels, Spectral Flow, and Obstruction Theory

Sub-Regions

• Group Theory — 899 papers
• Algebraic Geometry — 733 papers
• Differential Geometry — 652 papers
• Number Theory — 456 papers
• Representation Theory — 444 papers
• Geometric Topology — 435 papers