Some arXiv links:

- Gwyneth R. Whieldon, Infinite Free Resolutions over Monomial Rings in Two Variables: Let $ k$ be a field. The author constructs an explicit free resolution of $ k$ over $ k[x,y]/M$ where $ M$ is a monomial ideal given by an explicit minimal generating set, and uses this to compute the Betti series of $ k$ over the $ k[x,y]/M$. This paper contains some nice examples.
- Volker Diekert and Armin Weiß, Context-Free Groups and Bass-Serre Theory: This is a set of lecture notes at a summer school on automorphisms of free groups. Given a finitely presented group, we can consider the formal language in the generators and relations whose words are the identity, and the group is called
*context free*if the language is context free. The authors illustrate the different characterisations of context free groups and the connections between them. - Eduardo Martínez-Pedroza and Daniel T. Wise, Coherence and Negative Sectional Curvature in Complexes of Groups: The authors, amongst other things, give a condition on a simply connected 2-complex so that any properly acting group is coherent (= finitely generated subgroups are finitely presented).
- Małgorzata Stawiska, Lucjan Emil Böttcher (1872-1937)– the Polish pioneer of holomorphic dynamics: A summary of the work of the fellow in the title, who worked on iterations of holomorphic functions.
- Goncalo Tabuada, Weil transfer of noncommutative motives: A noncommutative analogue of the Weil restriction on Chow motives to noncommutative motives.
- Pierre-Henri Chaudouard and Gérard Laumon, Sur le comptage des fibrés de Hitchin nilpotents: The authors investigate the counting of Hitchin pairs on a projective curve and give some explicit formulaes for a restricted class of adelic integrals via the zeta function of the curve.