4 papers
GTBench: A Curriculum-Grounded Benchmark for Evaluating LLMs as Mathematical Research Assistants in Graph Theory
Noujoud Nader, Ibrahem Aljabea, Patrick Diehl +1
Large language models (LLMs) are increasingly used as self-study assistants in technical disciplines, yet their reliability as mathematical reasoning assistants remains poorly unde…
TopoU-Net: a U-Net architecture for topological domains
Gaurav Gaurav, Ibrahem ALJabea, Yaroslav Zakomornyy +4
Many modern datasets mix points, edges, regions, groups, objects, events, hyperedges, and relations. Yet neural architectures often force such data into grids, graphs, or sequences…
Coordinate-wise splitting algorithms for ODE simulation via Koopman-Lie product formulas
Arun Banjara, Ibrahem AlJabea, Theodore Papamarkou +1
We present a computational framework for simulating finite-dimensional ordinary differential equations by combining classical Koopman-Lie product formulas with coordinate-wise froz…
Cohomology of GKM-sheaves
Ibrahem Al-Jabea, Thomas John Baird
Let be a compact torus and be a a finite -CW complex (e.g. a compact -manifold). In earlier work, the second author introduced a functor which assigns to a so cal…