Latest Research in Number Theory

Top Research Topics in Number Theory

• Number Theory — 53 papers
• Algebraic Geometry — 29 papers
• Representation Theory — 25 papers
• Geometric Topology — 25 papers
• Differential Geometry — 21 papers
• Algebraic Geometry and Number Theory — 18 papers
• Advanced Algebra and Geometry — 15 papers
• Operator Algebras — 14 papers
• Combinatorics — 13 papers
• Geometric and Algebraic Topology — 12 papers

Highest-Cited Papers

1. Pandrosion for 𝑝-th Roots
2. On a Pascal-type theorem for lines in ℙ 3
3. C*-Algebraic Structure of Penrose Hyperbolic Tilings Links Noncommutative Geometry to Aperiodic Order — E8 Intelligence Research
4. The ring of character values depends only on the segment: SU(n), Sp(2m) and GL(n) at a torsion element (4 citations)
5. A Structural Reduction of the Hodge Conjecture in Lean 4 via Mumford-Tate Weight Gradings and Hodge-Riemann Bilinear Relations
6. The ring of character values depends only on the segment: SU(n), Sp(2m) and GL(n) at a torsion element (4 citations)
7. A Structural Reduction of the Hodge Conjecture in Lean 4 via Mumford-Tate Weight Gradings and Hodge-Riemann Bilinear Relations
8. C*-Algebraic Structure of Penrose Hyperbolic Tilings Links Noncommutative Geometry to Aperiodic Order — E8 Intelligence Research
9. Curvilinear Geometry, Primary Structure, and Gröbner Degenerations of Conductor Fiber Cones in a Huneke–Wiegand Family
10. Abelian Formula for Quantum Weyl Group Action on Loop Modules — E8 Intelligence Research
11. Spectral Resolution of the Birch and Swinnerton-Dyer Conjecture via Non-Local Wave Split Operators
12. Prime-shift operators on Bj\"orner's complex of squarefree integers: an exact decomposition of the Mertens invariant, rigorous recovery bounds for the Guinand--Weil pipeline, and a structural obstruction to the spectral modification
13. Adelic Reformulation of Collatz via p-adic Langlands Correspondence — E8 Intelligence Research
14. Curvilinear Geometry, Primary Structure, and Gröbner Degenerations of Conductor Fiber Cones in a Huneke–Wiegand Family
15. Parity and Weyl Group A₁ Structure in Knot Concordance via s-Invariant — E8 Intelligence Research
16. Adelic Reformulation of Collatz via p-adic Langlands Correspondence — E8 Intelligence Research
17. Triangulations of the 3-sphere with knotted edge
18. Prime-shift operators on Björner's complex of squarefree integers: an exact decomposition of the Mertens invariant, and a corrected analysis of the Toeplitz--Hankel pipeline for the Guinand--Weil explicit formula
19. Non-Commutative Quantum Multiplicity in Schubert Calculus: An Explicit, Non-Recursive Positive Rule via Nil-Hecke Highest-Weight Crystals
20. Prime-shift operators on Björner's complex of squarefree integers: spectral obstruction, kernel structure, and a Toeplitz--Hankel pipeline for the Guinand--Weil explicit formula