David Urbanik Professor at Rice University. urbanik at ihes dot fr

Posted on arXiv:

1. Special Loci in the Moduli of Curves, with Ziquan Yang.
2. Algebraic Hodge generic points are dense, with Greg Baldi and Gal Binyamini.
3. Intersections and the Bezout Range: Abelian Varieties, with Greg Baldi.
4. Galois Orbit Bounds for Surface Degenerations.
5. On the Complexity of Atypical Special Points.
6. Degrees of Hodge Loci.
7. Unlikely Intersections with Bruhat Strata.
8. Algebraic Cycle Loci at the Integral Level.
9. Effective Methods for Diophantine Finiteness.

Refereed:

Mathematics:

1. Effective atypical intersections and applications to orbit closures, with Greg Baldi. Journal of the European Mathematical Society (to appear)
2. Arithmetic Deformation of Line Bundles, with Ziquan Yang. Mathematische Annalen
3. Existence and density of typical Hodge loci, with Nazim Khelifa. Mathematische Annalen
4. Geometric G-functions and Atypicality. Duke Mathematical Journal
5. Absolute Hodge and l-adic Monodromy. Compositio Mathematica.
6. On the Fields of Definition of Hodge Loci, with Bruno Klingler and Ania Otwinowska. Annales scientifiques de l'École normale supérieure.
7. On the Transcendence of Period Images. Journal of Differential Geometry.
8. Sets of Special Subvarieties of Bounded Degree. Compositio Mathematica.

Cryptography:

1. New Techniques for SIDH-based NIKE, joint work with David Jao, Journal of Mathematical Cryptology, presented at MathCrypt 2018.
2. SoK: The SIDH Problem Landscape, joint work with David Jao, presented at ASIAPKC 2018.
3. Efficient Compression of SIDH Public Keys, joint work with Craig Costello, David Jao, Patrick Longa, Michael Naehrig, and Joost Renes, presented at Eurocrypt 2017.

Other:

1. Simulations of Microscopic Propulsion of Soft Elastic Bodies, joint work with Shikhar Mani Dwivedi and Colin Denniston, published in EPJ E-Soft Matter & Biological Physics. (2018)
2. Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus. Masters Thesis. Published in Bull. Polish Acad. Sci. Math.