# Math Research

## Overview

Starting from my PhD thesis Towards a Bezout-type Theory of Affine Varieties written at University of Toronto under the supervision of Pierre Milman, my research in math falls under two broad themes:

• Compactification of affine varieties
• Affine Bézout problem

I am in particular interested in one of the simplest cases of the first problem:

• Compactification of $$\mathbb{C}^2$$

## Papers

### Compactification of $$\mathbb{C}^2$$

#### Preprints

• Normal equivariant compactifications of $$\mathbb{G}^2_a$$ of Picard rank one, arXiv:1610.03563.
• Mori dream surfaces associated with curves with one place at infinity, arXiv:1312.2168.
• Analytic compactifications of $$\mathbb{C}^2$$ part II – one irreducible curve at infinity, arXiv:1307.5577.

### Affine Bézout problem

#### Preprints

• Intersection multiplicity, Milnor number and Bernstein’s theorem, arXiv:1607.04860