Category Archives: Publications

Publications

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 $\mathbb{C}^2$

Book

How many zeroes?

Papers

Compactification of affine varieties

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.

Publications

Affine Bézout problem

Preprints

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

Publications (primarily announcements)