## David Urbanik
PhD student interested in Math, CS, and Physics at the University of Toronto.
dburbani at uwaterloo dot ca |

## About Me |
## Auxiliary Work |
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### Academic Publications

#### New:

- Sets of Special Subvarieties of Bounded Degree. (Mathematics)
- On the Transcendence of Period Images. (Mathematics)
- Absolute Hodge and l-adic Monodromy. (Mathematics)
- On the Fields of Definition of Hodge Loci, joint work with
*Bruno Klingler*and*Ania Otwinowska*. (Mathematics)

#### Refereed:

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

#### Preprints:

- Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus. Masters Thesis. (Mathematics)

### Academic History

## '21 | ## October |

New paper, "Absolute Hodge and Exceptional Intersections" in preparation.

## '21 | ## September |

New paper, "Effective Methods for Diophantine Finiteness" in preparation.

## '21 | ## September |

New paper, "Sets of Special Subvarieties of Bounded Degree, posted on the arXiv.

## '21 | ## June |

New paper, "On The Transcendence of Period Images, posted on the arXiv.

## '20 | ## Nov |

New paper, "Absolute Hodge and l-adic Monodromy", posted on the arXiv.

## '20 | ## Oct |

New paper, "On the Fields of Definition of Hodge Loci", joint work with Bruno Klingler and Ania Otwinowska, released on the arXiv.

## '19 | ## May |

Began working with Jacob Tsimerman in Arithmetic Geometry.

## '18 | ## Sep |

Began my PhD in Mathematics at the University of Toronto.

## '18 | ## Aug |

Preprint "Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus" now available. This gives the first formulas for a rational group law (described in terms of rational functions) on any abelian variety of dimension greater than two. Source code is also available.

## '18 | ## Jul |

Paper "New Techniques for SIDH-based NIKE", joint work with

*David Jao*, accepted for publication to MathCrypt. Paper to be published in the*Journal of Mathematical Cryptology*.## '18 | ## Feb |

Paper "SoK: The SIDH Problem Landscape", joint work with

*David Jao*, accepted for publication to ASIAPKC.## '18 | ## Jan |

Paper "Simulations of Microscopic Propulsion of Soft Elastic Bodies", joint work with

*Shikhar Mani Dwivedi*and*Colin Denniston*, accepted for publication in EPJ E-Soft Matter & Biological Physics.## '17 | ## Sep |

Began Masters degree in Pure Mathematics at the University of Waterloo under the joint supervision of Matthew Satriano and David Jao.

## '17 | ## May — Aug |

Research Assistant in Mathematics at the University of Waterloo under the supervision of Yu-Ru Liu and Wentang Kuo.

## '17 | ## Jan | ## 18 |

"Efficient Compression of SIDH Public Keys", joint work with

*Craig Costello*,*David Jao*,*Patrick Longa*,*Michael Naehrig*, and*Joost Renes*, accepted to**Eurocrypt 2017**## '16 | ## May — Aug |

Research Assistant in Cryptography at the University of Waterloo under the supervision of David Jao.

See my work on SIDH, as well as my talk on SIDH on youtube.

See my work on SIDH, as well as my talk on SIDH on youtube.

## '15 | ## May — Aug |

Research Assistant in Computational Fluid Dynamics at the University of Western Ontario under the supervision of Colin Denniston.

## '13 | ## Sep |

Began undergraduate education at the University of Waterloo.