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MEGATRON: Reproducing the Diversity of High-Redshift Galaxy Spectra with Cosmological Radiation Hydrodynamics Simulations
Harley Katz, Martin P. Rey, Corentin Cadiou, Oscar Agertz, Jeremy Blaizot, Alex J. Cameron, Nicholas Choustikov, Julien Devriendt, Uliana Hauk, Gareth C. Jones, Taysun Kimm, Isaac Laseter, Sergio Martin-Alvarez, Kosei Matsumoto, Autumn Pearce, Francisco Rodr\'iguez Montero, Joki Rosdahl, Mahsa Sanati, Aayush Saxena, Adrianne Slyz, Richard Stiskalek, Anatole Stor…

MEGATRON: Reproducing the Diversity of High-Redshift Galaxy Spectra with Cosmological Radiation Hydrodynamics Simulations
We present the MEGATRON suite of cosmological radiation hydrodynamics simulations following the formation of Milky Way-mass galaxies from the earliest cosmic epochs when Population III stars form to Cosmic Noon. The suite represents the first set of cosmological simulations that couples a vast non-equilibrium thermochemistry network of primordial species, metals, and molecules to multifrequency, on-the-fly radiation transport, allowing us to directly predict the spectral properties of early gal…

Binomial edge ideals of Cameron-Walker graphs
Takayuki Hibi, Sara Saeedi Madani
https://arxiv.org/abs/2509.01150 https://arxiv.org/pdf/2509.01150

Binomial edge ideals of Cameron-Walker graphs
Let $G$ be a Cameron--Walker graph on $n$ vertices and $J_G$ the binomial edge ideal of $G$. Let $S$ denote the polynomial ring in $2n$ variables over a field. It is shown that the following conditions are equivalent: (i) $S/J_G$ is Cohen--Macaulay; (ii) $J_G$ is unmixed; (iii) $\dim (S/J_G) = n+1$; (iv) (a) $n = 3$ and $G$ is a path of length $2$ or (b) $n = 5$ and $G$ is a path of length $4$ or (c) $n=5$ and $G$ is obtained by attaching a path of length $2$ to a triangle. Moreover, the depth …

Molecular Tools for Non-Planar Surface Chemistry
Taleana Huff, Brandon Blue, Terry McCallum, Mathieu Morin, Damian G. Allis, Rafik Addou, Jeremy Barton, Adam Bottomley, Doreen Cheng, Nina M. \'Culum, Michael Drew, Tyler Enright, Alan T. K. Godfrey, Ryan Groome, Aru J. Hill, Alex Inayeh, Matthew R. Kennedy, Robert J. Kirby, Mykhaylo Krykunov, Sam Lilak, Hadiya Ma, Cameron J. Mackie, Oliver MacLean, Jonathan Myall, Ryan Plumadore, Adam Powell, Henry Rodriguez, Luis Sandoval, Marc Sav…

Molecular Tools for Non-Planar Surface Chemistry
Scanning probe microscopy (SPM) investigations of on-surface chemistry on passivated silicon have only shown in-plane chemical reactions, and studies on bare silicon are limited in facilitating additional reactions post-molecular-attachment. Here, we enable subsequent reactions on Si(100) through selectively adsorbing 3D, silicon-specific "molecular tools". Following an activation step, the molecules present an out-of-plane radical that can function both to donate or accept molecular fragments,…

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IP Models for Minimum Zero Forcing Sets, Forts, and Related Graph Parameters
Thomas R. Cameron, Jonad Pulaj
https://arxiv.org/abs/2508.07293 https://arxiv.…

IP Models for Minimum Zero Forcing Sets, Forts, and Related Graph Parameters
Zero forcing is a binary coloring game on a graph where a set of filled vertices can force non-filled vertices to become filled following a color change rule. In 2008, the zero forcing number of a graph was shown to be an upper bound on its maximum nullity. In addition, the combinatorial optimization problem for the zero forcing number was shown to be NP-hard. Since then, the study of zero forcing and its related parameters has received considerable attention. In 2018, the forts of a graph were…

Can utilities replace power lines with solar and batteries in remote areas? The rise of microgrids offers a promising solution for communities looking to reduce costs and carbon footprint. #climatechange #climatesolutions

Can utilities replace power lines with solar and batteries in remote areas?
Expanding the grid to reach far-flung customers can be a costly fire hazard. So utilities like PG&E are testing out microgrids using solar, batteries, and…