Lorenzo Riva

I am a graduate student at Notre Dame working with Christopher Schommer-Pries. My research at the moment concerns 3-dimensional TFTs arising from physics and algebraic geometry, but I am also interested in (and motivated by) manifold topology, infinity-category theory, and categorical logic. I fold origami when I can; tessellations and polyhedra have been my favorite subjects for a while but I enjoy folding the occasional frog.

My email is lriva (at) nd (dot) edu. Here is my CV.

Papers and preprints

Low regularity of non-L^2(R^n) local solutions to gMHD-alpha systems (with Nathan Pennington), Electron. J. Differential Equations, Vol. 2020 (2020), No. 54. pdf, arXiv:2005.14130
Higher categories of push-pull spans, I: Construction and applications. Preprint, pdf, arXiv:2404.14597
Higher categories of push-pull spans, II: Matrix factorizations and dualizable objects. In preparation.

Slides

A step towards the Rozansky-Witten TFT - prepared for "(infinity, n)-Categories and Applications" in Utrecht, April 2024
Towards a 3-category for the Rozansky-Witten TFT - prepared for Nils Carqueville's Vienna Seminar, May-June 2024