Research
Here’s a list of my math and old cryptography papers.
Mathematics
Published
- [arXiv, published] Liftability of singularities and their Frobenius morphism mod \(p^2\) in International Mathematics Research Notices, Volume 2018, Issue 14, July 2018, pages 4513–4577.
- [arXiv, published] Some elementary examples of non-liftable varieties, with Piotr Achinger, in Proc. Amer. Math. Soc. 145 (2017), 4717-4729.
- [arXiv, published] Global Frobenius Liftability I, with Piotr Achinger and Jakub Witaszek, in J. Eur. Math. Soc. 23, 2601–2648 (2021).
- [arXiv, published] Serre-Tate theory for Calabi-Yau varieties, with Piotr Achinger, first online in Journal für die reine und angewandte Mathematik.
- [arXiv, published] Arithmetically rigid schemes via deformation theory of equivariant vector bundles, in Mathematische Zeitschrift, Volume 297, pages 361–387 (2021).
- [arXiv, published] Ordinary varieties with trivial canonical bundle are not uniruled, with Zsolt Patakfalvi, in Mathematische Annalen, Volume 380, pages 1767–1799 (2021).
- [arXiv] Global Frobenius Liftability II, with Piotr Achinger and Jakub Witaszek, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
Gorgeous preprint - still refereed
- [arXiv] On the Beauville–Bogomolov decomposition in characteristic \(p \geq 0\), with Zsolt Patakfalvi, submitted.
Old Cryptography stuff
- [published] Quasi-chainrule for min-entropy, with Stefan Dziembowski and Tomasz Kazana, in Information Processing Letters 134 (2018)
- [published] Bounded-retrieval model with keys derived from private data, with K. Durnoga, S. Dziembowski, T. Kazana and M. Zając, in Inscrypt 2016 - Information Security and Cryptology
- [published] Position-Based Cryptography from the Noisy Channels with Stefan Dziembowski, in Progress in Cryptology – Africacrypt 2014