Algebra & number theory
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- Valuations and henselization
- Smoothing Calabi-Yau threefolds with nodes and del Pezzo cone points
- Nonvanishing implies abundance
- A vanishing-cycle obstruction to smoothing Calabi-Yau threefolds
- Motion groups, Legendrian links, and non-trivial loops of embeddings
- Strong nonfinite basability of the three-element flat semiring S7
- Finite Chains of Two-Complexes and Acyclic Covers
- de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
- Additive Sums of Generalized Shifted Ternary Divisor Functions
- Infinite girth and profinite properties of residually finite groups
- Lower and Upper Lie Nilpotency Indices of Modular Group Algebras
- Splitting fields of complex hyperbolic groups: matrix extraction, Hermitian descent, and spectral fields
- Equidistribution of number theoretic point sets in the torus and the sphere in Wasserstein metric and L2 discrepancy
- Effective syzygies of secant varieties
- Non-degeneracy and Fibering with Applications to Diophantine Approximation
- K-moduli wall crossing for quasimaps to a projective variety
- K-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic Surfaces
- The rational homology of quotients of the curve complex
- Cardinalities of Jordan Diophantine sets of upper triangular integer matrices
- Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers
- Simultaneous non-vanishing of twists of GL3 and GL1 L-functions
- Classification of the Orbits of Three Quadratic Collatz-type Maps
- Irreducibility of Generalised Laguerre Polynomials for Large Integer Parameters
- A Generalization of the Riemann Functional Equation with Three Variables
- Rogers--Ramanujan identities from the geometry of Xa=Yb