David Urbanik
Math post-doc at the IHES.
urbanik at ihes dot fr
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About Me |
Auxiliary Work |
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Academic Publications
Preprints:
- Degrees of Hodge Loci.
- Effective atypical intersections and applications to orbit closures, with Greg Baldi.
- Arithmetic Deformation of Line Bundles, with Ziquan Yang.
- Unlikely Intersections with Bruhat Strata.
- Algebraic Cycle Loci at the Integral Level.
- Effective Methods for Diophantine Finiteness*.
Refereed:
Mathematics:
- Existence and density of typical Hodge loci, with Nazim Khelifa. Mathematische Annalen
- Geometric G-functions and Atypicality. Duke Mathematical Journal (to appear)
- Absolute Hodge and l-adic Monodromy. Compositio Mathematica.
- On the Fields of Definition of Hodge Loci, with Bruno Klingler and Ania Otwinowska. Annales scientifiques de l'École normale supérieure.
- On the Transcendence of Period Images. Journal of Differential Geometry.
- Sets of Special Subvarieties of Bounded Degree. Compositio Mathematica.
Cryptography:
- New Techniques for SIDH-based NIKE, joint work with David Jao, Journal of Mathematical Cryptology, presented at MathCrypt 2018.
- SoK: The SIDH Problem Landscape, joint work with David Jao, presented at ASIAPKC 2018.
- 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:
- 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)
- Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus. Masters Thesis. Published in Bull. Polish Acad. Sci. Math.
Academic History and Future Plans
'25 | Sep |
Will visit the IAS for the special year program in Arithmetic Geometry, Hodge Theory and o-minimality.
'23 | June |
Continued my postdoctoral position at the IHES.
'23 | Jan |
Held a five month post doctoral position at the MSRI.
'22 | Sep |
Started a three year post doctoral position at IHES.
'19 | May |
Began working with Jacob Tsimerman in Arithmetic Geometry.
'18 | Sep |
Began my PhD in Mathematics at the University of Toronto.
'17 | Sep |
Began Masters degree in Pure Mathematics at the University of Waterloo under the joint supervision of Matthew Satriano and David Jao.
'13 | Sep |
Began undergraduate education at the University of Waterloo.