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cs.LG2026
Continuous Optimization for p-adic Models
Julian Salazar, Dimitri Kanevsky, Matt Harvey +2
We present the first method for native, continuous gradient descent for machine learning models with -adic parameters. Existing native optimizers are discrete, mostly combinator…
cs.AI2026
AI co-mathematician: Accelerating mathematicians with agentic AI
Daniel Zheng, Ingrid von Glehn, Yori Zwols +15
We introduce the AI co-mathematician, a workbench for mathematicians to interactively leverage AI agents to pursue open-ended research. The AI co-mathematician is optimized to prov…
math.AG2026
-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence
Dimitri Kanevsky, Julian Salazar, Matt Harvey
Let be a smooth cubic surface over a -adic field with good reduction. Swinnerton-Dyer (1981) proved that -equivalence is trivial on except perhaps if is on…