Tootfinder

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
https://arxiv.org/abs/2506.14935 https://

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field $K$ using the Lawrence-Venkatesh method. The main new inputs we need are computation of certain Euler characteristics of these complete intersections and a big monodromy statement for the variation of Hodge structure arising from the middle cohomology of a family of such complete intersections. Following \cite{ls25}, we prove the latter by relat…

Quantum Advantage in Storage and Retrieval of Isometry Channels
Satoshi Yoshida, Jisho Miyazaki, Mio Murao
https://arxiv.org/abs/2507.10784 https://…

Quantum Advantage in Storage and Retrieval of Isometry Channels
Storage and retrieval refer to the task of encoding a quantum channel $Λ$ into a quantum state, known as the program state, such that the channel can later be retrieved. This task is closely related to quantum channel estimation, where multiple queries to $Λ$ are used to prepare a quantum state $ϕ_Λ$ that encodes information about the channel. The channel can then be retrieved by measuring $ϕ_Λ$, following a measure-and-prepare strategy. In this work, we analyze the asymptotic performance…

1/2 “My input stream is full of it: Fear and loathing and cheerleading and prognosticating on what generative AI means and whether it’s Good or Bad and what we should be doing. All the channels: Blogs and peer-reviewed papers and social-media posts and business-news stories. So there’s lots of AI angst out there, but this is mine. I think the following is a bit unique because it focuses on cost, working backward from there.”

AI Angst

AI is making it easier to create VTubers and faceless voiceover channels, fueling a flood of virtual creators on YouTube and TikTok amid concerns over AI slop (Zach Vallese/CNBC)
https://www.cnbc.com/2025/07/02/ai-virtual-perso…

AI virtual personality YouTubers, or 'VTubers,' are earning millions

Diverse high-Chern-number quantum anomalous Hall insulators in twisted rhombohedral graphene
Naitian Liu, Zhangyuan Chen, Jing Ding, Wenqiang Zhou, Hanxiao Xiang, Xinjie Fang, Linfeng Wu, Xiaowan Zhan, Le Zhang, Qianmei Chen, Kenji Watanabe, Takashi Taniguchi, Na Xin, Shuigang Xu
https://arxiv.org/abs/2507.11347

Diverse high-Chern-number quantum anomalous Hall insulators in twisted rhombohedral graphene
Quantum anomalous Hall (QAH) insulators with high Chern number (C) enables multiple dissipationless edge channels for low-power-consumption electronics. We report the realization of multiple high-C QAH insulators including C=3,5,6, and 7 in twisted monolayer-rhombohedral pentalayer graphene. In twist angles of approximately 1.40°, we observe QAH effect with C=5 at a filling of one electron per moiré unit cell, persisting up to 2 Kelvin. Furthermore, incommensurate QAH insulators with C=5,6, a…

AI is making it easier to create VTubers and faceless voiceover channels, fueling a flood of virtual creators on YouTube and TikTok amid concerns over AI slop (Zach Vallese/CNBC)
https://www.cnbc.com/2025/07/02/ai-virtual-perso…

AI virtual personality YouTubers, or 'VTubers,' are earning millions

Failure of Bott vanishing for (co)adjoint partial flag varieties
Pieter Belmans
https://arxiv.org/abs/2506.09811 https://arxiv.org/pd…

Failure of Bott vanishing for (co)adjoint partial flag varieties
Bott vanishing is a strong vanishing result for the cohomology of exterior powers of the cotangent bundle twisted by ample line bundles. Buch-Thomsen-Lauritzen-Mehta conjectured that partial flag varieties (which are not products of projective spaces) do not satisfy Bott vanishing, despite all their other nice properties. The cominuscule case is an easy application of the Borel-Weil-Bott theorem, following results of Snow. We show that the (co)adjoint partial flag varieties of all classical and…

Email as the Interface to Generative AI Models: Seamless Administrative Automation
Andres Navarro, Carlos de Quinto, Jos\'e Alberto Hern\'andez
https://arxiv.org/abs/2506.23850

Email as the Interface to Generative AI Models: Seamless Administrative Automation
This paper introduces a novel architectural framework that integrates Large Language Models (LLMs) with email interfaces to automate administrative tasks, specifically targeting accessibility barriers in enterprise environments. The system connects email communication channels with Optical Character Recognition (OCR) and intelligent automation, enabling non-technical administrative staff to delegate complex form-filling and document processing tasks using familiar email interfaces. By treating …

Three-Dimensional Channel Modeling for Molecular Communications in Tubular Environments with Heterogeneous Boundary Conditions
Yun-Feng Lo, Changmin Lee, Chan-Byoung Chae
https://arxiv.org/abs/2506.00803

Three-Dimensional Channel Modeling for Molecular Communications in Tubular Environments with Heterogeneous Boundary Conditions
Molecular communication (MC), one of the emerging techniques in the field of communication, is entering a new phase following several decades of foundational research. Recently, attention has shifted toward MC in liquid media, particularly within tubular environments, due to novel application scenarios. The spatial constraints of such environments make accurate modeling of molecular movement in tubes more challenging than in traditional free-space channels. In this paper, we propose a three-dim…

Universal tradeoff relations between resource cost and irreversibility of channels: General-resource Wigner-Araki-Yanase theorems and beyond
Hiroyasu Tajima, Koji Yamaguchi, Ryuji Takagi, Yui Kuramochi
https://arxiv.org/abs/2507.23760

Universal tradeoff relations between resource cost and irreversibility of channels: General-resource Wigner-Araki-Yanase theorems and beyond
Quantum technologies offer exceptional -- sometimes almost magical -- speed and performance, yet every quantum process costs physical resources. Designing next-generation quantum devices, therefore, depends on solving the following question: which resources, and in what amount, are required to implement a desired quantum process? Casting the problem in the language of quantum resource theories, we prove a universal cost-irreversibility tradeoff: the lower the irreversibility of a quantum proces…