Category Archives: Publications

Math Research


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 \(\mathbb{C}^2\)


Compactification of affine varieties

Compactification of \(\mathbb{C}^2\)


  • 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


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

Publications (primarily announcements)