Christopher P. Austin1,∗, Christine M. Cutillo1, Lilian P.L. Lau2, Anneliene H. Jonker2, Ana Rath2,3, Daria Julkowska4, David Thomson5, Sharon F. Terry6, Béatrice de Montleau7, Diego Ardigò8, Virginie Hivert7, Kym M. Boycott9, Gareth Baynam10,11, Petra Kaufmann1, Domenica Taruscio12, Hanns Lochmüller13, Makoto Suematsu14, Carlo Incerti15, Ruxandra Draghia-Akli16,17, Irene Norstedt16, Lu Wang18 ...

This is an introductory exposition to background material useful to appreciate various formulations of the Mordell–Lang conjecture (now established by recent spectacular work due to Vojta, Faltings, Hrushovski, Buium, Voloch, and others). It gives an exposition of some of the elementary and standard constructions of algebro-geometric models (rather than model-theoretic ones) with applications (...

The Gamma Interferon (IFN) Mimetic Peptide IFN(95-133) Prevents Encephalomyocarditis Virus Infection both in Tissue Culture and in Mice Mustafa G. Mujtaba,* Chintak B. Patel, Ravi A. Patel, Lawrence O. Flowers, Marjorie A. Burkhart, Lilian W. Waiboci, James Martin, Mohammad I. Haider, Chulbul M. Ahmed, and Howard M. Johnson Department of Microbiology and Cell Science, University of Florida, Gai...

Mariana Postal, Nailu Angélica Sinicato, Karina Oliveira Peliçari, Roberto Marini, Lilian Tereza Lavras Costallat, Simone Appenzeller I State University of Campinas, Faculty of Medical Science, Department of Medicine, Rheumatology Unit, Campinas/SP, Brazil. II State University of Campinas, Faculty of Medical Science, Postgraduate Program of Child and Adolescent Health, Campinas/ SP, Brazil. III...

Given a curve of genus 3 with an unramified double cover, we give an explicit description of the associated Prym variety. We also describe how an unramified double cover of a non-hyperelliptic genus 3 curve can be mapped into the Jacobian of a curve of genus 2 over its field of definition and how this can be used to do Chabautyand Brauer-Manin type calculations for curves of genus 5 with an unr...

We study, as hypersurfaces in toric varieties, elliptic Calabi–Yau fourfolds for F-theory compactifications dual to E8 × E8 heterotic strings compactified to four dimensions on elliptic Calabi–Yau threefolds with some choice of vector bundle. We describe how to read off the vector bundle data for the heterotic compactification from the toric data of the fourfold. This map allows us to construct...

Mirror Symmetry for Calabi-Yau hypersurfaces in toric varieties is by now well established. However, previous approaches to it did not uncover the underlying reason for mirror varieties to be mirror. We are able to calculate explicitly vertex algebras that correspond to holomorphic parts of A and B models of Calabi-Yau hypersurfaces and complete intersections in toric varieties. We establish th...

Mary E. Tinetti, MD; Darcé M. Costello, EdD, MPH, MBA; Aanand D. Naik, Claire Davenport, MD, MS; Kizzy Hernandez-Bigos, BA; Julia R. Van Liew, PhD; Jessica Esterson, MPH; Eliza Kiwak, Lilian Dindo, PhD