Latest Research in Geometric Representation Theory

Top Research Topics in Geometric Representation Theory

• Algebraic Geometry — 605 papers
• Differential Geometry — 418 papers
• Number Theory — 278 papers
• Representation Theory — 231 papers
• Geometric Topology — 212 papers
• Rings and Algebras — 141 papers
• Combinatorics — 129 papers
• Algebraic Topology — 115 papers
• Geometric and Algebraic Topology — 113 papers
• Algebraic Geometry and Number Theory — 112 papers

Highest-Cited Papers

1. A simple characterization of Quillen adjunctions (1 citations)
2. Matrix Product Operator Algebras I: Representations of Weak Hopf Algebras and Projected Entangled Pair States (10 citations)
3. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
4. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
5. Pandrosion for 𝑝-th Roots
6. A Unconditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v3.0)
7. Exact invariant computations and Singer's conjecture for three degree families in rank four
8. Mathematical companion to the T3 topological model: Seifert fibration, Goldman bracket and identification of u(1), su(2), su(3)
9. On a Pascal-type theorem for lines in ℙ 3
10. A Unconditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v3.0)
11. E8‑Phi Harmonic Topological Lattice (EPTL) for Quantum Transfer — E8 Intelligence Research
12. E8‑Khovanov Homology Waveguide Quantum Channel — E8 Intelligence Research
13. Mathematical companion to the T3 topological model: Seifert fibration, Goldman bracket and identification of u(1), su(2), su(3)
14. The Carlo Geometry Quartet: A Unified Symbolic Framework for Cycles, Complex Structure, Curvature, and Ricci‑Flat Geometry
15. Analytic Detection of Singularities in Categorified Spectral Geometry: Heat Kernels, Spectral Flow, and Obstruction Theory
16. Frustration, holonomy and projection constants: the sharp cycle gap for vector-valued sheaf cohomology on graphs
17. Novel integration of 50 kW photovoltaic systems in microgrids using quantum slime mould optimization for enhanced power output and efficiency
18. The Carlo Geometry Quartet: A Unified Symbolic Framework for Cycles, Complex Structure, Curvature, and Ricci‑Flat Geometry
19. E8‑Khovanov Homology Waveguide Quantum Channel — E8 Intelligence Research
20. The order generated by a column of the SU(n)_k S-matrix is locally a numerical semigroup ring (Part I)

Sub-Regions

• Algebraic and Categorical Topology — 3,621 papers
• Quantum Field Topology — 285 papers
• Power Electronics and Motor Control — 224 papers
• Scholarly Infrastructure and Web Operations — 2 papers