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1. ADM mass for C 0 C^{0} metrics and distortion under Ricci–DeTurck flow

   https://doi.org/10.1515/crelle-2023-0085  

   Burkhardt-Guim, Paula (December 2023, Journal für die reine und angewandte Mathematik (Crelles Journal))

   Abstract We show that there exists a quantity, depending only on $C^0$C^{0}data of a Riemannian metric, that agrees with the usual ADM mass at infinity whenever the ADM mass exists, but has a well-defined limit at infinity for any continuous Riemannian metric that is asymptotically flat in the $C^0$C^{0}sense and has nonnegative scalar curvature in the sense of Ricci flow.Moreover, the $C^0$C^{0}mass at infinity is independent of choice of $C^0$C^{0}-asymptotically flat coordinate chart, and the $C^0$C^{0}local mass has controlled distortion under Ricci–DeTurck flow when coupled with a suitably evolving test function. 

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2. An Immobilized-Dirhodium Hollow-Fiber Flow Reactor for Scalable and Sustainable C−H Functionalization in Continuous Flow

   https://doi.org/10.1002/anie.201805528  

   Yoo, Chun-Jae; Rackl, Daniel; Liu, Wenbin; Hoyt, Caroline B.; Pimentel, Brian; Lively, Ryan P.; Davies, Huw M.; Jones, Christopher W. (August 2018, Angewandte Chemie International Edition)
3. On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow

   https://doi.org/10.1063/5.0117895  

   Barron, Katrina; Batistelli, Karina; Orosz_Hunziker, Florencia; Pedić_Tomić, Veronika; Yamskulna, Gaywalee (September 2022, Journal of Mathematical Physics)

   Using the Zhu algebra for a certain category of C-graded vertex algebras V, we prove that if V is finitely Ω-generated and satisfies suitable grading conditions, then V is rational, i.e., it has semi-simple representation theory, with a one-dimensional level zero Zhu algebra. Here, Ω denotes the vectors in V that are annihilated by lowering the real part of the grading. We apply our result to the family of rank one Weyl vertex algebras with conformal element ωμ parameterized by μ∈C and prove that for certain non-integer values of μ, these vertex algebras, which are non-integer graded, are rational, with a one-dimensional level zero Zhu algebra. In addition, we generalize this result to appropriate C-graded Weyl vertex algebras of arbitrary ranks. 

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4. π-Bond Dissociation Energies: C–C, C–N, and C–O

   https://doi.org/10.1021/acs.joc.4c01925  

   Kass, Steven R (October 2024, The Journal of Organic Chemistry)
5. HiCForecast: dynamic network optical flow estimation algorithm for spatiotemporal Hi-C data forecasting

   https://doi.org/10.1093/bioinformatics/btaf030  

   Pinchuk, Dmitry; Chowdhury, H_M_A_Mohit; Pandeya, Abhishek; Oluwadare, Oluwatosin; Alkan, ed., Can (January 2025, Bioinformatics)

   Abstract MotivationThe exploration of the 3D organization of DNA within the nucleus in relation to various stages of cellular development has led to experiments generating spatiotemporal Hi-C data. However, there is limited spatiotemporal Hi-C data for many organisms, impeding the study of 3D genome dynamics. To overcome this limitation and advance our understanding of genome organization, it is crucial to develop methods for forecasting Hi-C data at future time points from existing timeseries Hi-C data. ResultIn this work, we designed a novel framework named HiCForecast, adopting a dynamic voxel flow algorithm to forecast future spatiotemporal Hi-C data. We evaluated how well our method generalizes forecasting data across different species and systems, ensuring performance in homogeneous, heterogeneous, and general contexts. Using both computational and biological evaluation metrics, our results show that HiCForecast outperforms the current state-of-the-art algorithm, emerging as an efficient and powerful tool for forecasting future spatiotemporal Hi-C datasets. Availability and implementationHiCForecast is publicly available at https://github.com/OluwadareLab/HiCForecast. 

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