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1. On the optimal arrangement of 2 d lines in ℂ d

   https://doi.org/10.1093/imaiai/iaaf008  

   Fallon, Kean; Iverson, Joseph W (March 2025, Information and Inference: A Journal of the IMA)

   Abstract We show the optimal coherence of $2d$ lines in $$\mathbb{C}^{d}$$ is given by the Welch bound whenever a skew Hadamard matrix of order $d+1$ exists. Our proof uses a variant of Hadamard matrix doubling that converts any equiangular tight frame of size $$\tfrac{d-1}{2} \times d$$ into another one of size $$d \times 2d$$. Among $$d \leq 160$$, this produces equiangular tight frames of new sizes when $d = 11$, $35$, $39$, $43$, $47$, $59$, $67$, $71$, $83$, $95$, $103$, $107$, $111$, $119$, $123$, $127$, $131$, $143$, $151$ and $155$. 

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2. The Role of N- Substitution in Regio- and Stereoselective Vinylogous Imidonaphthoquinone (VINAquinone) [2 + 2] Photocycloadditions

   https://doi.org/10.1021/acs.orglett.4c01418  

   Merski, Ian; Yin, Jinya; VanderLinden, Ryan T; Rainier, Jon D (June 2024, Organic Letters)
3. Phylogeny and taxonomy of the genera of Erysiphaceae, part 6: Erysiphe (the “ Microsphaera lineage” part 2)

   https://doi.org/10.1080/00275514.2024.2386230  

   Bradshaw, Michael; Braun, Uwe; Mitchell, James K; Crouch, Uma; LaGreca, Scott; Pfister, Donald H (January 2025, Mycologia)
4. Green function of the Poisson equation: D = 2, 3, 4

   https://doi.org/10.1088/2399-6528/aaa3bd  

   Jentschura, U D; Sapirstein, J (January 2018, Journal of Physics Communications)
5. Reconciling the results of the z ∼ 2 MOSDEF and KBSS-MOSFIRE Surveys

   https://doi.org/10.1093/mnras/stac1115  

   Runco, Jordan N.; Reddy, Naveen A.; Shapley, Alice E.; Steidel, Charles C.; Sanders, Ryan L.; Strom, Allison L.; Coil, Alison L.; Kriek, Mariska; Mobasher, Bahram; Pettini, Max; et al (April 2022, Monthly Notices of the Royal Astronomical Society)

   ABSTRACT The combination of the MOSDEF and KBSS-MOSFIRE surveys represents the largest joint investment of Keck/MOSFIRE time to date, with ∼3000 galaxies at 1.4 ≲ z ≲ 3.8, roughly half of which are at z ∼ 2. MOSDEF is photometric- and spectroscopic-redshift selected with a rest-optical magnitude limit, while KBSS-MOSFIRE is primarily selected based on rest-UV colours and a rest-UV magnitude limit. Analysing both surveys in a uniform manner with consistent spectral-energy-distribution (SED) models, we find that the MOSDEF z ∼ 2 targeted sample has higher median M* and redder rest U−V colour than the KBSS-MOSFIRE z ∼ 2 targeted sample, and smaller median SED-based SFR and sSFR (SFR(SED) and sSFR(SED)). Specifically, MOSDEF targeted a larger population of red galaxies with U−V and V−J ≥1.25, while KBSS-MOSFIRE contains more young galaxies with intense star formation. Despite these differences in the z ∼ 2 targeted samples, the subsets of the surveys with multiple emission lines detected and analysed in previous work are much more similar. All median host-galaxy properties with the exception of stellar population age – i.e. M*, SFR(SED), sSFR(SED), AV, and UVJ colours – agree within the uncertainties. Additionally, when uniform emission-line fitting and stellar Balmer absorption correction techniques are applied, there is no significant offset between both samples in the [O iii]λ5008/H β versus [N ii]λ6585/H α diagnostic diagram, in contrast to previously reported discrepancies. We can now combine the MOSDEF and KBSS-MOSFIRE surveys to form the largest z ∼ 2 sample with moderate-resolution rest-optical spectra and construct the fundamental scaling relations of star-forming galaxies during this important epoch. 

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