Gianluca Faraco, Ph.D.

Gianluca Faraco, Mathematician

I am a Lecturer at the School of Mathematics at Monash University. My work lies at the juncture of low-dimensional topology, complex algebraic geometry, and dynamics. I study the connection between surface group representations into Lie groups and geometric structures on surfaces, along with some closely-related dynamical questions (the mapping class group action on character varieties and representation spaces), and moduli spaces of Riemann surfaces and meromorphic differentials.

Contact Info

School of Mathematical Sciences

Monash University

Clayton VIC 3800 Australia

gianluca (dot) faraco (at) unimib (dot) it

gianluca (dot) faraco (at) monash (dot) edu

Salvador de Bahia, July 2024

Previous appointments

From October 2022 to March 2026, I was a Postdoctoral Fellow at the University of Milano-Bicocca (Italy). Mentor: Prof. Stefano Pigola

From March 2021 to February 2022 I was a Postdoctoral Fellow at Max Planck Institute for Mathematics. In March 2022 I moved to University of Bonn. My mentor was Prof. Ursula Hamenstädt.

Before I was a Raman Postdoctoral Fellow at the Department of Mathematics at IISc Bangalore, India, from March 2020 to February 2021 under the mentorship of Prof. Subhojoy Gupta.

Prior to this, I was a Visiting Fellow at TIFR Mumbai from September 2018 to August 2019 under the mentorship of Prof. Anish Ghosh.

I achieved my Ph.D. in Mathematics at the University of Ferrara (Italy) under the mentoring of Prof. Stefano Francaviglia.

I share in Federico Ardila-Mantilla's axioms

Axiom 1

Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

Axiom 2

Everyone can have joyful, meaningful, and empowering mathematical experiences.

Axiom 3

Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

Axiom 4

Every student deserves to be treated with dignity and respect.

Me and my mathematical family, July 2018

From the left to the right: Lorenzo Ruffoni, Alessio Savini, myself, Alex Casella and Stefano Francaviglia

Home is behind, the world ahead,

And there are many paths to tread

Through shadows to the edge of night,

Until the stars are all alight.

The Lord of Rings

J.R.R. Tolkien