Contacts
School of Mathematics
Monash University
9
Rainforest Walk, Clayton Campus
Victoria 3800 Australia
davide.ravotti@gmail.com
I have completed my Ph.D. at the University of Bristol in 2018 under the supervision of Corinna Ulcigrai.
From April to August 2018, I was a Research Associate at the University of Bristol, and from September 2018 to February 2019 I was a Postdoctoral Assistant at the University of Zürich.
Since March 2019, I am a Research Fellow at Monash University, working with Andy Hammerlindl.
I study the ergodic and mixing properties of some classes of smooth dynamical systems.
I am interested in smooth parabolic flows, in particular locally Hamiltonian flows on compact surfaces, timechanges of nilflows, and perturbations of unipotent flows on quotients of semisimple Lie groups, and, more recently, in partially hyperbolic diffeomorphisms.
Publications and preprints

Quantitative equidistribution of horocycle pushforwards of transverse arcs, preprint arXiv:1910.03187, 2019.

Polynomial decay of higher order correlations for discreteseries reparametrizations of horocycle flows, (joint paper with Adam Kanigowski), preprint arXiv:1909.08799, 2019.

Mixing for smooth timechanges of general nilflows, (joint paper with Artur Avila, Giovanni Forni, and Corinna Ulcigrai), preprint arXiv:1905.11628, 2019.

Parabolic perturbations of unipotent flows on compact quotients of SL(3,R), Communications in Mathematical Physics, 371(1):331351, 2019.

Mixing for suspension flows over skewtranslations and timechanges of quasiabelian filiform nilflows, Ergodic Theory and Dynamical Systems, 39(12):34073436, 2019.

Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfaces, Annales Henri Poincaré, 18(12):38153861, 2017.

Measures induced by units, (joint paper with Giovanni Panti), Journal of Symbolic Logic, 78(3):886910, 2013.
Talks
Sep. 2019: Conference Smooth and Homogeneous Dynamics, Bangalore, India.
Jul. 2019: Conference Dynamics of Parabolic Flows, Zuerich, Switzerland.
Mar. 2019: Monash University, Melbourne, Australia.
Dec.
2018: Scuola Normale Superiore, Pisa, Italy.
Sep. 2018:
Conference Dynamics Days Europe, Loughborough, UK.
Jan. 2018: Queen Mary University, London, UK.
Nov. 2017:
Scuola Normale Superiore, Pisa, Italy.
Oct. 2017:
University of Warwick, Coventry, UK.
Oct. 2017: University
of Manchester, Manchester, UK.
Aug. 2017: Conference
Dynamics in Number Theory and Geometry, Kingston, Canada.
Jun. 2017: Workshop Modern Trends in the Ergodic Theory of
Dynamical Systems, Rome, Italy.
Mar. 2017: University of
Bristol, Bristol, UK.
Jan. 2017: Workshop
Oneday Workshop on Dynamical Systems, ICTP, Trieste, Italy.
Jan. 2017: University of Udine, Udine, Italy.
I have been a tutor for the following courses:
 Dynamical Systems and Ergodic Theory (University of Zürich, 2018/19).
 Analysis 1, Foundations and Proof (University of Bristol, 2017/18).
 Introduction to Geometry, Analysis 1, Foundations and Proof (University of Bristol, 2016/17).
 Analysis 1, Linear Algebra and Geometry (University of Bristol, 2015/16).
 Dynamical Systems and Ergodic Theory, Algebra II (University of Bristol, 2014/15).