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On the Hasse Principle for conic bundles over even degree extensions
Sam Roven, Alexander Wang
https://arxiv.org/abs/2508.07564 https://arxiv.org/pdf/2508.…

On the Hasse Principle for conic bundles over even degree extensions
Let $k$ be a number field and let $π\colon X \rightarrow\mathbb{P}_k^1$ be a smooth conic bundle. We show that if $X/k$ has four geometric singular fibers and either $X(\mathbb{A}_k)\neq \emptyset$ or $X/k$ has non-trivial Brauer group, then $X$ satisfies the Hasse principle over any even degree extension $L/k$. Furthermore for arbitrary $X$ we show that, conditional on Schinzel's hypothesis, $X$ satisfies the Hasse principle over all but finitely many quadratic extensions of $k$. We prove the…

Presentation and uniqueness of Kac-Moody groups over local rings
Timoth\'ee Marquis, Bernhard M\"uhlherr
https://arxiv.org/abs/2510.11272 https://…

Presentation and uniqueness of Kac-Moody groups over local rings
To any generalised Cartan matrix (GCM) $A$ and any ring $R$, Tits associated a Kac-Moody group $\mathfrak{G}_A(R)$ defined by a presentation à la Steinberg. For a domain $R$ with field of fractions $\mathbb{K}$, we explore the question of whether the canonical map $φ_R\colon\thinspace \mathfrak{G}_A(R)\to \mathfrak{G}_A(\mathbb{K})$ is injective. This question for Cartan matrices has a long history, and for GCMs was already present in Tits' foundational papers on Kac-Moody groups. We prove th…

Extremely UV-bright starbursts at the end of cosmic reionization
R. Marques-Chaves, D. Schaerer, M. Dessauges-Zavadsky, J. \'Alvarez-M\'arquez, T. Hashimoto, L. Colina, A. K. Inoue, C. Blanco-Prieto, Y. Nakazato, L. Costantin, S. Arribas, T. J. L. C. Bakx, D. Ceverino, A. Crespo G\'omez, Y. Fudamoto, M. Hagimoto, A. Hamada, Y. Matsuoka, K. Mawatari, M. Onoue, W. Osone, Y. W. Ren, Y. Sugahara, Y. Terui, N. Yoshida

Extremely UV-bright starbursts at the end of cosmic reionization
We present a study of 27 very UV-bright (-22.0

Experimental validation of electron correlation models in warm dense matter
Dmitrii S. Bespalov, Ulf Zastrau, Zhandos A. Moldabekov, Thomas Gawne, Tobias Dornheim, Moyassar Meshhal, Alexis Amouretti, Michal Andrzejewski, Karen Appel, Carsten Baehtz, Erik Brambrink, Khachiwan Buakor, Carolina Camarda, David Chin, Gilbert Collins, Celine Crepisson, Adrien Descamps, Jon Eggert, Luke Fletcher, Alessandro Forte, Gianluca Gregori, Marion Harmand, Oliver S. Humphries, Hauke Hoeppner, Jonas Ku…

Experimental validation of electron correlation models in warm dense matter
We report X-ray Thomson scattering measurements of warm dense aluminium at densities 3.75-4.5 g/cm$^3$ and a temperature of approximately 0.6 eV, performed at the HED-HiBEF instrument of the European XFEL using the DiPOLE-100X drive laser. By probing plasmon dispersion across momentum transfers $k$ = 0.99-2.57 Angstrom$^{-1}$ with high statistical fidelity, we directly test competing theories of electron dynamics under extreme conditions. Time-dependent density functional theory (TDDFT) reprodu…

Further constructions of square integer relative Heffter arrays
Diane Donovan, Sarah Lawson, James Lefevre
https://arxiv.org/abs/2509.09907 https://arxiv.o…

Further constructions of square integer relative Heffter arrays
A square integer relative Heffter array is an $n \times n$ array whose rows and columns sum to zero, each row and each column has exactly $k$ entries and either $x$ or $-x$ appears in the array for every $x \in \mathbb{Z}_{2nk+t}\setminus J$, where $J$ is a subgroup of size $t$. There are many open problems regarding the existence of these arrays. In this paper we construct two new infinite families of these arrays with the additional property that they are strippable. These constructions compl…

Continued Rapid Radio Brightening of the Tidal Disruption Event AT2018hyz
Yvette Cendes, Edo Berger, Paz Beniamini, Ramandeep Gill, Tatsuya Matsumoto, Kate D. Alexander, Michael F. Bietenholz, Aprajita Hajela, Collin T. Christy, Ryan Chornock, Sebastian Gomez, Mark A. Gurwell, Garrett K. Keating, Tanmoy Laskar, Raffaella Margutti, Ramprasad Rao, Natalie Velez, Mark H. Wieringa

Continued Rapid Radio Brightening of the Tidal Disruption Event AT2018hyz
We present ongoing radio observations of the tidal disruption event (TDE) AT2018hyz, which was first detected in the radio at 972 days after disruption, following multiple non-detections from earlier searches. The new observations presented here span approximately 1370-2160 days and 0.88-240 GHz. We find that the light curves continue to rise at all frequencies during this time period, following a power law of about F ~ t^3 (compared to F_nu ~ t^5.7 at 972-1400 days), and reaching a peak lumino…

Early massive galaxy formation in the core of a galaxy protocluster 650 million years after the Big Bang
Yoshinobu Fudamoto, Yurina Nakazato, Daniel Ceverino, Luis Colina, Takuya Hashimoto, Akio K. Inoue, Yoichi Tamura, Naoki Yoshida, Yongda Zhu, Yuma Sugahara, Santiago Arribas, Javier 'Arvarez-M'arquez, Tom Bakx, Carmen Blanco Prieto, Luca Costantin, Alejandro Crespo G'omez, Masato Hagimoto, Takeshi Hashigaya, Hiroshi Matsuo, Rui Marques-Chaves, Ken Mawatari, Ikki Mitsuhas…

Early massive galaxy formation in the core of a galaxy protocluster 650 million years after the Big Bang
Rest-frame optical observations with the James Webb Space Telescope (JWST) have uncovered a population of massive galaxies, exceeding $10^{10}$ solar masses, present less than a billion years after the Big Bang. The large stellar masses of these galaxies require an efficient conversion of baryons into stars, which may exceed theoretical expectations. However, the formation process of massive galaxies so early in the Universe's history is perplexing, as observations provide limited information t…

A marking graph for finite-type Artin groups
Kaitlin Ragosta
https://arxiv.org/abs/2508.10394 https://arxiv.org/pdf/2508.10394

A marking graph for finite-type Artin groups
Clean markings on surfaces were a key component in Masur and Minsky's hierarchy machinery, which proved to be a powerful tool in the study of mapping class groups. We construct a marking graph for irreducible finite-type Artin groups which is quasi-isometric to the group modulo its center, i.e., an element of $A_Γ/Z(A_Γ)$ is determined up to finite error by its action on one of our markings. To construct this graph, we construct suitable collections of transverse parabolic subgroups which ext…

ELPIS: Accelerated metal and dust enrichment in a proto-cluster core at $z\approx8$
Hideki Umehata, Yoichi Tamura, Yoshinobu Fudamoto, Yurina Nakazato, Daniel Ceverino, Naoki Yoshida, Akio K. Inoue, Ryota Ikeda, Yuma Sugahara, Shutaro Inui, Santiago Arribas, Tom Bakx, Masato Hagimoto, Takuya Hashimoto, Luis Colina, Yi W. Ren, Wataru Osone, Alejandro Crespo Gomez, Ken Mawatari, Javier Alvarez-Marquez

ELPIS: Accelerated metal and dust enrichment in a proto-cluster core at $z\approx8$
We present a study of the metal, dust, and molecular gas content in galaxies within the A2744-z7p9OD proto-cluster at z ~ 7.88. We focus on two galaxy groups, the Quintet and the Chain, which are covered by the ELPIS survey (The Emission-Line Protocluster Imaging Survey of the furthest overdensity beyond Pandora's Cluster Abell 2744). [C II] 158 um emission is detected in five galaxies, revealing molecular gas reservoirs with log(M_gas/Msun) ~ 9.0-9.6, while dust continuum at the observed frame…