Livia Grammatica
Université de Strasbourg
livia.grammatica at math.unistra.fr
Talk to me in: it · fr · en · de
Livia Grammatica
Université de Strasbourg
livia.grammatica at math.unistra.fr
Talk to me in: it · fr · en · de
Welcome to my homepage! I am a first year PhD student at IRMA Strasbourg, working under the joint supervision of Marco D'Addezio (IRMA) and Anna Cadoret (IMJ-PRG). I am broadly interested in algebraic and arithmetic geometry, and my current research revolves around cohomology theories in positive characteristic, especially crystalline cohomology and syntomic cohomology.
Here is my extended CV. And here some places where I have been or will be in the future:
- 19-23 January 2026 · Motives in Montpellier [†]
- 3-28 November 2025 · Visit @ University of Regensburg
- — — —
- 1-5 September 2025 · Period maps: classical and p-adic, Cargese [†]
- 23 April to 9 May 2025 · Arithmetic of K3 Surfaces, Lausanne [†]
- 8-12 March 2025 · Arizona Winter School, Tucson [†]
- 2-4 October 2024 · Arithmetic of K3 Surfaces @ Imperial College [†]
Research
L.G., Formal smoothness of the Artin–Mazur formal groups (2025), preprint
In this paper we establish cohomological criteria for the Artin-Mazur formal groups of X to be smooth, when X be a smooth proper variety over an algebraically closed field. We use them to construct, in characteristic 2 and for any d≥2, varieties X for which Фᵈ(X,𝔾ₘ) is representable but not formally smooth.
L.G., Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic (2025), preprint
This article gives an expository account of quasisyntomic descent and the Nygaard filtration in positive characteristic, complemented by several new applications to p-adic cohomology theories. This is an expanded version of my master thesis.
External links
Made with help from Marco Lastres ⟩<^,«·>