This is a list of papers that caught my attention and that I hope to eventually read—hopefully. The list is in no particular order, other than the moment they came to my attention (e.g., through the arXiv daily update), starting from 2025. It is by no means exhaustive and reflects only my specific interests on certain (and somewhat random) days. There are possibly a thousand more papers out there that I would find equally interesting, if only I had come across them.
2025:
Peskine sixfolds and Debarre-Voisin fourfolds with associated cubic fourfolds (Brooke, Flapan, Frei, Marquand) - arXiv
A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology (Galkin, Leung, Li, Xiong) - arXiv
F4 and desmic quartic surfaces (Manivel) - arXiv
BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions (Manivel) - arXiv
Boundedness of some fibered K-trivial varieties (Engel, Filipazzi, Greer, Mauri, Svaldi)- arXiv
Göpel varieties (Benedetti, Bolognesi, Faenzi, Manivel) - arXiv
The QuiverTools package for SageMath and Julia (Belmans, Franzen, Petrella) - arXiv
Failure of Bott vanishing for (co)adjoint partial flag varieties (Belmans) - arXiv
On linear sections of the spinor tenfold II (Liu, Manivel) - arXiv
The intersection of three quadrics in P^7 revisited (Donagi, Pantev) - arXiv
Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one (Seo) - arXiv
Mukai models of Fano varieties (Bayer, Kuznetsov, Macrì) - arXiv
Geometry of genus sixteen K3 surfaces (Han) - arXiv