1 citations · 1 across the 9 of their papers we have counts for
9 papers
The Assistant as a Privileged Persona: A canonical reference in cross-persona self-recognition
Asvin G
Post-trained language models can recognize their own outputs from a sentence or two out of context. In a companion paper \citep{jack2026twomodes} we showed they can also recognize…
From Simulation to Enaction: Post-trained language models recognize and react to their own generations
Asvin G., Jack Lindsey
Language models are pretrained as passive predictors with no incentive to model the consequences of their own outputs. Post-training changes this: a model producing its own respons…
Matrix Points on Varieties
Asvin G, Yifeng Huang, Ruofan Jiang +1
We study the cohomology of , the moduli space of commuting -by- matrices satisfying the equations defining a quasi-projective scheme . This space can be viewed as…
On the mechanical creation of mathematical concepts
Asvin G
Any act of problem-solving combines prior knowledge, local search, and a third element that is less often discussed: the extraction of information from search to update understandi…
Computational Platonism
Asvin G
We offer a view of mathematics as an experimental science where axioms play the role of foundational theories like general relativity and quantum mechanics in physics. Under this v…
A Chebotarev Density Theorem over Local Fields
Asvin G, Yifan Wei, John Yin
We compute the -adic densities of points with a given splitting type along a (generically) finite map, analogous to the classical Chebotarev theorem over number fields and funct…
Just-likely intersections on Hilbert modular surfaces
Asvin G., Qiao He, Ananth N. Shankar
In this paper, we prove an intersection-theoretic result pertaining to curves in certain Hilbert modular surfaces in positive characteristic. Specifically, we show that given two a…
Polysymmetric functions and motivic measures of configuration spaces
Asvin G, Andrew O'Desky
We introduce a generalization of symmetric functions and apply the resulting theory to compute the class in the Grothendieck ring of varieties of the space of geometrically irreduc…
Unlikely and just likely intersections for high dimensional families of elliptic curves
Asvin G
Given two varieties V,W in the n-fold product of modular curves, we answer affirmatively a question (formulated by Shou-Wu Zhang's AIM group) on whether the set of points in V that…