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1. Perfect even modules and the even filtration

   https://doi.org/10.4171/JEMS/1669  

   Pstrągowski, Piotr (July 2025, Journal of the European Mathematical Society)

   Inspired by the work of Hahn–Raksit–Wilson, we introduce a variant of the even filtration which is naturally defined on\mathbf{E}_{1}-rings and their modules. We show that our variant satisfies flat descent and so agrees with the Hahn–Raksit–Wilson filtration on ring spectra of arithmetic interest, showing that various “motivic” filtrations are in fact invariants of the\mathbf{E}_{1}-structure alone. We prove that our filtration can be calculated via appropriate resolutions in modules and apply it to the study of even cohomology of connective\mathbf{E}_{1}-rings, proving vanishing above the Milnor line, base-change formulas, and explicitly calculating cohomology in low weights. 

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2. Multifaceted effects on even-skipped transcriptional dynamics upon Krüppel dosage changes

   https://doi.org/10.1242/dev.202132  

   Lin, Shufan; Lim, Bomyi (March 2024, Development)

   ABSTRACT Although fluctuations in transcription factor (TF) dosage are often well tolerated, TF dosage modulation can change the target gene expression dynamics and result in significant non-lethal developmental phenotypes. Using MS2/MCP-mediated quantitative live imaging in early Drosophila embryos, we analyzed how changing levels of the gap gene Krüppel (Kr) affects transcriptional dynamics of the pair-rule gene even-skipped (eve). Halving the Kr dosage leads to a transient posterior expansion of the eve stripe 2 and an anterior shift of stripe 5. Surprisingly, the most significant changes are observed in eve stripes 3 and 4, the enhancers of which do not contain Kr-binding sites. In Kr heterozygous embryos, both stripes 3 and 4 display narrower widths, anteriorly shifted boundaries and reduced mRNA production levels. We show that Kr dosage indirectly affects stripe 3 and 4 dynamics by modulating other gap gene dynamics. We quantitatively correlate moderate body segment phenotypes of Kr heterozygotes with spatiotemporal changes in eve expression. Our results indicate that nonlinear relationships between TF dosage and phenotypes underlie direct TF-DNA and indirect TF-TF interactions. 

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3. Even redder than we knew: Color and A _V evolution up to z = 2.5 from JWST/NIRCam photometry

   https://doi.org/10.1051/0004-6361/202555488  

   van_der_Wel, A; Martorano, M; Marchesini, D; Wuyts, S; Bell, E F; Meidt, S E; Gebek, A; Brammer, G B; Whitaker, K E; Bezanson, R; et al (September 2025, Astronomy & Astrophysics)

   Aims.JWST/NIRCam provides rest-frame near-IR photometry of galaxies up toz = 2.5 with exquisite depth and accuracy. This affords us an unprecedented view of the evolution of the UV/optical/near-IR color distribution and its interpretation in terms of the evolving dust attenuation,A_V. Methods.We used the value-added data products (photometric redshift, stellar mass, rest-frameU − VandV − Jcolors, andA_V) provided by the public DAWN JWST Archive. These data products derive from fitting the spectral energy distributions obtained from multiple NIRCam imaging surveys, augmented with preexisting HST imaging data. Our sample consists of a stellar-mass-complete sample of ≈28 000M_⋆ >  10⁹ M_⊙galaxies in the redshift range 0.5 <  z <  2.5. Results.TheV − Jcolor distribution of star-forming galaxies evolves strongly, in particular for high-mass galaxies (M_⋆ >  3 × 10¹⁰ M_⊙), which have a pronounced tail of very red galaxies reachingV − J >  2.5 atz >  1.5 that does not exist atz <  1. Such redV − Jcan only be explained by dust attenuation, with typical values forM_⋆ ≈ 10¹¹ M_⊙galaxies in the rangeA_V ≈ 1.5 − 3.5 atz ≈ 2. This redshift evolution went largely unnoticed before. Today, however, photometric redshift estimates for the reddest (V − J >  2.5), most attenuated galaxies have markedly improved thanks to the new, precise photometry, which is in much better agreement with the 25 available spectroscopic redshifts for such galaxies. The reddest population readily stands out as the independently identified population of galaxies detected at submillimeter wavelengths. Despite the increased attenuation,U − Vcolors across the entire mass range are slightly bluer at higherz. A well-defined and tight color sequence exists at redshifts 0.5 <  z <  2.5 forM_⋆ >  3 × 10¹⁰ M_⊙quiescent galaxies, in bothU − VandV − J, but inV − Jit is bluer rather than redder compared to star-forming galaxies. In conclusion, whereas the rest-frame UV-optical color distribution evolves remarkably little fromz = 0.5 toz = 2.5, the rest-frame optical/near-IR color distribution evolves strongly, primarily due to a very substantial increase with redshift in dust attenuation for massive galaxies. 

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4. Detecting a long even hole

   https://doi.org/10.1016/j.ejc.2022.103537  

   Cook, Linda; Seymour, Paul (August 2022, European Journal of Combinatorics)
5. Induced subgraphs and tree decompositions I. Even-hole-free graphs of bounded degree

   https://doi.org/10.1016/j.jctb.2022.05.009  

   Abrishami, Tara; Chudnovsky, Maria; Vušković, Kristina (November 2022, Journal of Combinatorial Theory, Series B)