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Journals and Conferences
– The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef–Pas language, and its application to analytic motivic integrals and analytic integrals over Fq((t)) of big enough characteristic. To accomplish this, we introduce a general framework for Henselian valued fields K with… (More)
In the context of rigid analytic spaces over a non-Archimedean valued field, a rigid subanalytic set is a Boolean combination of images of rigid analytic maps. We give an analytic quantifier elimination theorem for (complete) algebraically closed valued fields that is independent of the field; in particular, the analytic quantifier elimination is… (More)
In this paper, we establish a basic dimension theory for rigid subanalytic sets, and we prove a Smooth Stratification Theorem for such sets, in all characteristics.
Epidermolysis bullosa simplex (EBS) is an inherited skin-blistering disease that is caused by dominant mutations in the genes for keratin K5 or K14 proteins. While the link between keratin mutations and keratinocyte fragility in EBS patients is clear, the exact biophysical mechanisms underlying cell fragility are not known. In this study, we tested the… (More)
Let K be an algebraically closed eld of any characteristic, complete with respect to the non-trivial ultrametric absolute value jj : K ! R +. By R denote the valuation ring of K, and by } its maximal ideal. We work within the class of subanalytic sets deened in L2], but our results here also hold for the strongly subanalytic sets introduced in S] as well as… (More)
In this paper, we establish a basic dimension theory for rigid subanalytic sets, and we prove a Smooth Stratiication Theorem for such sets, in all characteristics.
The observed structure-activity relationship of three distinct ATP noncompetitive With-No-Lysine (WNK) kinase inhibitor series, together with a crystal structure of a previously disclosed allosteric inhibitor bound to WNK1, led to an overlay hypothesis defining core and side-chain relationships across the different series. This in turn enabled an efficient… (More)
Synthetic studies of the antimicrobial secondary metabolite thiomuracin A (1) provided access to analogues in the Northern region (C2-C10). Selective hydrolysis of the C10 amide of lead compound 2 and subsequent derivatization led to novel carbon- and nitrogen-linked analogues (e.g., 3) which improved antibacterial potency across a panel of Gram-positive… (More)