Section de Mathématiques

Université de Genève

I am a member of the research group of Anton Alekseev.

I completed my PhD in Mathematics at the University of Toronto in January 2018.

My PhD advisor was Marco Gualtieri, and my thesis is titled *Abelianisation of Logarithmic Connections*.

Broadly speaking, my research area is Complex Algebraic Geometry with its relevance to Quantum Field Theory and String Theory.

More specifically, my research revolves around the study of the moduli space of meromorphic flat connections using methods from the theory of Higgs bundles developed by Nigel Hitchin.

Complex Algebraic Geometry

Mathematical Physics

**Research Group**

Anton Alekseev**PhD Advisor**

Marco Gualtieri**MMath Advisor**

Ruxandra Moraru

algebraic geometry

complex geometry

algebraic analysis

mathematical physics

quantum field theory

string theory

Lie algebroids and Lie groupoids

Higgs bundles

meromorphic connections

spectral correspondence

spectral networks

wall-crossing

exact WKB analysis

topological recursion

quantum curves

2

The Exact WKB Method is AbelianisationMarco Gualtieri, Kohei Iwaki, Andrew Neitzkein preparation2018

1

Abelianisation of Logarithmic ConnectionsPhD Dissertation2018meromorphic connection, Levelt filtration, abelianisation, WKB, spectral curve, Higgs bundle, quantum connection, de Rham-Prym variety

2

Homotopical StructuresNotes taken in the Homotopical Structures Seminar.2015homotopical algebra, operad

These are lecture notes for the course on D-modules that I took some years ago, read by Sergey Arkhipov.2012D-modules, meromorphic connections, Riemann-Hilbert correspondence

2018

9-14 SeptemberWorkshopGeometry and Physics of Quantum Curves, BIRS, Banf, Alberta, Canada

16-20 JulyConferencePoisson 2018, Fields Institute, Toronto, Ontario, Canada

8-13 AprilConferenceGeometric aspects of momentum maps and integrability, CSF Ascona, Switzerland

2 FebruaryGeometry behind the WKB MethodSeminarGroupes de Lie et espaces des modules, Université de Genève, Switzerland

18 JanuaryAbelianisation of Logarithmic ConnectionsWorkshopAlgebraic Structures in Topology and Geometry, Riederalp, Switzerland