Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Professional development program to promote students' conceptual understanding through technology-enhanced teaching: a learner-centered evaluation. [PDF]
Front PsycholDigel S, Roth J.
europepmc +1 more source
On finitely generated left nilpotent braces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if B$B$ is left nilpotent of class at most 2, that is B3=0$B^3 = 0$, then B$B$ is right nilpotent of class at most 3, that is B(4)=0$B^{(4)} = 0$. In addition, we construct a free object in
Hangyang Meng +3 more
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Acoustic scattering and mode interaction in bifurcated circular waveguide structures with reacting liners and discontinuities. [PDF]
PLoS OneAlkuhayli N +3 more
europepmc +1 more source
7‐Location, weak systolicity, and isoperimetry
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract m$m$‐Location is a local combinatorial condition for flag simplicial complexes introduced by Osajda. Osajda showed that simply connected 8‐located locally 5‐large complexes are hyperbolic. We treat the nonpositive curvature case of 7‐located locally 5‐large complexes.
Nima Hoda, Ioana‐Claudia Lazăr
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A novel approach to explore common prime divisor graphs and their degree based topological descriptor. [PDF]
PLoS OneKoam ANA, Haider A, Ahmad A, Ansari MA.
europepmc +1 more source
Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov-Ivanov equation. [PDF]
Sci RepYan Z, Li J, Barak S, Haque S, Mlaiki N.
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Scaling Invariant Generation Using State Space Embeddings and GPU Streaming
Concurrency and Computation: Practice and Experience, Volume 37, Issue 25-26, 30 November 2025.ABSTRACT The formal verification of railway control systems can ensure the safety of complex scheme plans through techniques such as induction‐based model checking. While inductive verification performs well in complex settings, it often produces false positives due to its consideration of transitions from unreachable safe states to unsafe states ...
Ben Lloyd‐Roberts +4 more
wiley +1 more source