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Towards natural and realistic $E_7$ GUTs in F-theory. (arXiv:2401.00040v1 [hep-th]) arxiv.org/abs/2401.00040

Polynomial time decay for solutions of the Klein--Gordon equation on a subextremal Reissner--Nordstr\"{o}m black hole. (arXiv:2401.00048v1 [gr-qc]) arxiv.org/abs/2401.00048

Some extremal problems for martingale transforms, I. (arXiv:2401.00053v1 [math.CA]) arxiv.org/abs/2401.00053

A Quantum $H^*(T)$-module via Quasimap Invariants. (arXiv:2401.00066v1 [math.AG]) arxiv.org/abs/2401.00066

Deciding finiteness of bosonic dynamics with tunable interactions. (arXiv:2401.00069v1 [quant-ph]) arxiv.org/abs/2401.00069

A new view of hypercube genus. (arXiv:2401.00070v1 [math.CO]) arxiv.org/abs/2401.00070

Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds. (arXiv:2401.00071v1 [math.PR]) arxiv.org/abs/2401.00071

On subgroups of the Monster isomorphic to $PSL_2(8)$. (arXiv:2312.17252v1 [math.GR]) arxiv.org/abs/2312.17252

Decomposition of State Spaces into Subobjects in Quantum Field Theory. (arXiv:2312.17275v1 [quant-ph]) arxiv.org/abs/2312.17275

The minimal primes of localizations of rings. (arXiv:2312.17299v1 [math.RA]) arxiv.org/abs/2312.17299

Classifications of prime ideals and simple modules of the quantum Weyl algebra $A_1(q)$ ($q$ is a root of unity). (arXiv:2312.17302v1 [math.RA]) arxiv.org/abs/2312.17302

Rings of differential operators on singular generalized multi-cusp algebras. (arXiv:2312.17303v1 [math.RA]) arxiv.org/abs/2312.17303

On the strongly regular locus of the inertia stack of $\mathrm{Bun}_G$. (arXiv:2312.17307v1 [math.NT]) arxiv.org/abs/2312.17307

The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries. (arXiv:2312.17322v1 [hep-th]) arxiv.org/abs/2312.17322

On a Dini type blow-up condition for nonlinear higher order differential inequalities. (arXiv:2312.17326v1 [math.AP]) arxiv.org/abs/2312.17326

Expansion of a digraph with a doubly bidirectionally connected pair is not cactus. (arXiv:2312.17327v1 [math.CO]) arxiv.org/abs/2312.17327

Symmetric noncrossing partitions of an annulus with double points. (arXiv:2312.17331v1 [math.CO]) arxiv.org/abs/2312.17331

On generalized Li-Yau inequalities. (arXiv:2312.16181v1 [math.AP]) arxiv.org/abs/2312.16181

Log canonical threshold of du Val singularities. (arXiv:2312.16187v1 [math.AG]) arxiv.org/abs/2312.16187

Iterated Resultants and Rational Functions in Real Quantifier Elimination. (arXiv:2312.16210v1 [cs.SC]) arxiv.org/abs/2312.16210

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