Algebra & number theory
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- The most singular loci of twisted character varieties
- Smooth numbers in simultaneous arithmetic progressions
- Du Bois cohomology of noncommutative spaces and the Hodge numbers invariance conjecture for singular varieties
- A Counterexample to Wooley's L1 Question for Beatty Sequences
- A solution to the Erdős-Sárközy product-density problem
- Adelic Galois representations are maximal for almost all Drinfeld modules
- An Odd-Arch Family of Perturbed Hofstadter Q-Recursions: Gaussian Profiles and Exact Frequency Laws
- Improved first moments of primitive quartic and sextic Dirichlet L-functions
- A secondary term in the first moment of primitive cubic Dirichlet L-functions
- Generating the liftable outer automorphism groups of regular cyclic covers
- Parameters and lim CM sequences: the Q-sequence conjecture and Lech's formula
- Whittaker modules for the principal W-algebra 𝒲k(sl3) via free field realizations
- The classification of Fano contact manifolds revisited
- Topological transcendence degree and the dimension problem for perfectoid spaces
- The Yangian associated with the binary tree
- Counterexamples to uniqueness for a discrete X-ray transform under quadratic decay
- Contact multiplicity and a sharp six-map bound for collinear self-similar dendrites
- Small-LCM Distinct Covering Systems via Segmented Local Search
- Artinian reduction applied to the Largest Intersection Problem
- Gromov-Witten theory of the local model of the standard flop
- Varieties of associative algebras with slow central codimension growth
- Halving Partitions and Hyperbinary Expansions
- Partial coactions of Hopf algebras on nonunital algebras and categories
- Quadratic and Koszul Licci Ideals
- Hodge theory and topology of Bogomolov--Guan manifolds