Latest Research in Algebraic and Geometric Analysis

Top Research Topics in Algebraic and Geometric Analysis

• Algebraic and Geometric Analysis — 3 papers
• Spectral Theory in Mathematical Physics — 2 papers
• Analytic Number Theory Research — 2 papers
• Advanced Mathematical Theories and Applications — 2 papers
• Representation Theory — 2 papers
• Quantum Computing Algorithms and Architecture — 1 papers
• Geochemistry and Geologic Mapping — 1 papers
• Analysis of PDEs — 1 papers
• Random Matrices and Applications — 1 papers
• Differential Geometry — 1 papers

Highest-Cited Papers

1. Spectral Analysis of a Fourier-Regularized Quantum Berry-Keating Hamiltonian and its Connection to the Riemann Hypothesis
2. Resolution of the Poincaré Conjecture via Natural Processual Methods
3. The Weighted Dual Minkowski Problem Under Group Symmetry
4. The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture
5. Mean curvature flows with cylindrical singularities II: stability and genericity
6. Liouville integrability of the two-parameter deformed A_{2N} cluster maps for every N
7. ON THE SPECTRAL GEOMETRY OF PAIR RESONANCES: AN INDEPENDENT PROOF OF THE TWIN PRIME CONJECTURE VIA THE SPECTRUM OF SELF-ADJOINT COUPLING OPERATORS
8. A complete classification of the existence of finite-dimensional quantum solutions to inconsistent linear constraint systems
9. Finite-Prime Factor-First Closure: Dollard-Renormalized Prolate–Jacobi Operators and Relative Fredholm Determinants
10. Prime-Power Fractional Residuals under PNT/Li Controls: A Controlled Computational Audit of Apparent Zeta-Related Structure
11. 32. Geometric Subsystem Quantisation programme: Rigidity, Decidability, and a Linearised Spectral Bridge
12. Carrier Birth, Primitive Renewal, and Extension Frustration: A Certified Phase Sequence in a Multivariate Chebyshev Extremal Problem
13. On the Heat Content of Compact Quantum Graphs
14. The Projective Residue as a Schur Complement: Reduction of the Generation Split to the Chiral Asymmetry of Projection Locking
15. Educational Videos on Riemann Zeta Function, Analytic Continuation, and Zeros — E8 Intelligence Research
16. Sharp Computational Bounds for Spectral Types of Schrödinger Operators
17. Unified Generative Number Theory
18. Collatz Conjecture Remains Unsolved; Recent Work Explores Topological Reformulation — E8 Intelligence Research
19. E8-Schubert Topological Braiding for Quantum Information Stability — E8 Intelligence Research
20. Minor-Arc Cancellation for the Dense Reciprocal Transform: A Complete Non-Local Theorem after Canonical Local-Conductor Extraction