# Leonid Monin

 I am a PhD candidate in my last year at the University of Toronto and I work with Askold Khovanskii, here is my CV. You can find me in my office HU1027 or reach via my email: lmonin@math.utoronto.ca. You also might be interested in AdIMOM and our homemade seminars.

### Research

I am interested in several areas between algebra and geometry. More specifically, my research can be divided into three parts. The first part is combinatorial algebraic geometry. This includes Newton polyhedra theory, study of spherical varieties and tropical geometry. The second part focuses on Riemann surfaces and their moduli spaces. The third part is counting problems on Teichmüller spaces.

My publications and preprints:
• (with V. Telpukhovskiy) On normalizations of Thurston measure on the space of measured laminations, preprint 2019 [pdf]
• Overdetermined collections of linear series on toric, spherical, and other algebraic varieties, preprint 2018 [pdf]
• (with J. Rana) Equations of $$\overline{M_{0,n}}$$, in "Combinatorial Algebraic Geometry” Edited by Gregory G. Smith and Bernd Sturmfels 2017 [pdf]
• Discrete Invariants of Generically Inconsistent Systems of Laurent Polynomials, Mathematical Reports of the Academy of Science of the Royal Society of Canada, 2017 [pdf]
• (with A. Khovanskii) The Resultant of Developed Systems of Laurent Polynomials, Moscow Mathematical Journal, 2017 [pdf]
• Lattice Geometry and Reduction of Finitely Generated Abelian Groups to a Normal Form, Mathematical Reports of the Academy of Science of the Royal Society of Canada, 2014 [pdf]
Work in progress:
• (with E. Duryev) Billiards and hyperelliptic curves with many automorphisms.
• (with J. Hofscheier and A. Khovanskii) Cohomology of toric bundles and rings of conditions of horospherical varieties.
• (with E. Duryev and A. Patel) Twisted differentials, dilation surfaces, and complex affine surfaces.

### Teaching

I am currently teaching MAT 401 Polynomial equations and Fields. You can find some course information and course materials here.

Earlier I was an instructor for and a TA in the following courses:

Summer 2018: Instructor for MAT136 Calculus I (B)

2013-2018: TA for MAT333 Topology, MAT257 Analysis II, MAT402 Classical Geometries, MAT186 Calculus I, MAT332 Graph Theory, MAT135 Calculus I (A), MAT136 Calculus I (B).

2012-2013: TA for Geometry I, Topology I.

2011-2013: TA for Game Theory, Mathematical Introduction into Economic, Basic Mathematical Model of Political Economics, Discrete Mathematics.