Algebra & number theory
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- Resolving Erdős-Ulam Monochromatic Union-Closed Family Conjectures
- Categorical Dynamics of Abelian Varieties
- The Wang--Sun Sum over Affine Derangements
- Parabolic induction for Takiff algebras and character formulas in Chari's category 𝒪̃
- Almost Gorenstein standard graded rings and their localizations
- Arakelov inequalities for fibered surfaces in positive characteristic
- A uniform degree bound for modular rank-two Nahm sums
- Reflections on branched covers
- Extreme values of Dirichlet L-functions on the critical line with a growing prime modulus
- Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and T-Solvable Groups
- Sharp Noether-type inequalities for $3$-folds of intermediate Kodaira dimensions
- Verdier-Type Category, Geometric Serre's conditions and perversity
- A characterization of the Ree curve
- Lazard's Realization Problem for N-Series: Bar Obstructions and Finite-Quotient Descent
- A generalized Terao Conjecture for line arrangements
- The Beilinson--Bloch heights of generalized Ceresa cycles
- Extremal Derived Length in the Unipotent Radicals of Cartan-Type Automorphism Groups
- Augmentation-Ideal Realization of Special Nottingham Congruence Series and Cartier Indecomposables
- The Schur multiplier of SL2 and Dedekind zeta-functions over S-integers
- Abelian p-extensions with restricted p-ramification and the cyclotomic ℤ2-extension of ℚ (√q)
- An explicit power-saving bound for Sárközy's Theorem on shifted primes, assuming GRH
- Classification of torsion of elliptic curves over quintic fields
- A Truncated Singular-Value Bound for Spectral Variation of Normal Matrices
- A Proof of Fraenkel's Conjecture
- Finite permutation groups that act with fixity 4