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1. TENSOR PRODUCTS OF d -FOLD MATRIX FACTORIZATIONS

   https://doi.org/10.1017/nmj.2025.12  

   SHENG, RICHIE; TRIBONE, TIM (February 2025, Nagoya Mathematical Journal)

   Abstract Consider a pair of elementsfandgin a commutative ringQ. Given a matrix factorization offand another ofg, the tensor product of matrix factorizations, which was first introduced by Knörrer and later generalized by Yoshino, produces a matrix factorization of the sum$$f+g$$. We will study the tensor product ofd-fold matrix factorizations, with a particular emphasis on understanding when the construction has a non-trivial direct sum decomposition. As an application of our results, we construct indecomposable maximal Cohen–Macaulay and Ulrich modules over hypersurface domains of a certain form. 

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2. How Persistent and Bioavailable Are Oxygenated Deepwater Horizon Oil Transformation Products?

   https://doi.org/10.1021/acs.est.8b01001  

   Aeppli, Christoph; Swarthout, Robert F.; O’Neil, Gregory W.; Katz, Samuel D.; Nabi, Deedar; Ward, Collin P.; Nelson, Robert K.; Sharpless, Charles M.; Reddy, Christopher M. (June 2018, Environmental Science & Technology)
3. Full quantum crossed products, invariant measures, and type-I lifting

   Alexandru Chirvasitu (October 2022, Munster journal of mathematics)

   We show that for a closed embedding H ≤ G of locally compact quantum groups (LCQGs) with G/H admitting an invariant probability measure, a unitary G-representation is type-I if its restriction to H is. On a related note, we also prove that if an action G ⟳ A of an LCQG on a unital C∗ -algebra admits an invariant state then the full group algebra of G embeds into the resulting full crossed product (and into the multiplier algebra of that crossed product if the original algebra is not unital). We also prove a few other results on crossed products of LCQG actions, some of which seem to be folklore; among them are (a) the fact that two mutually dual quantum-group morphisms produce isomorphic full crossed products, and (b) the fact that full and reduced crossed products by dual-coamenable LCQGs are isomorphic. 

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4. Full quantum crossed products, invariant measures, and type-I lifting

   Chirvasitu, Alexandru (January 2022, Münster journal of mathematics)
5. De novo asymmetric Achmatowicz approach to oligosaccharide natural products

   https://doi.org/10.1039/D2CC05280F  

   Kim, Sugyeom; Oiler, Jeremy; Xing, Yalan; O’Doherty, George A. (November 2022, Chemical Communications)

   The development and application of the asymmetric synthesis of oligosaccharides from achiral starting materials is reviewed. This de novo asymmetric approach centers around the use of asymmetric catalysis for the synthesis of optically pure furan alcohols in conjunction with Achmatowicz oxidative rearrangement for the synthesis of various pyranones. In addition, the use of a diastereoselective palladium-catalyzed glycosylation and subsequent diastereoselective post-glycosylation transformation was used for the synthesis of oligosaccharides. The application of this approach to oligosaccharide synthesis is discussed. 

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