Research Page of Fabio Pusateri
I am an Associate Professor at University of Toronto.
  Here is my Curriculum Vitae
My main interests are Analysis of nonlinear PDEs,
Dispersive and Wave Equations, Fluid Dynamics, Harmonic Analysis
I support Federico Ardila's axioms:
Axiom 1. Mathematical potential 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.
TIDE
(Toronto initiative for diversity and equity)
Positions
2022 - present: Associate Professor, University of Toronto.
2018 - 2022: Assistant Professor, University of Toronto.
2014 - 2018: Assistant Professor, Princeton University.
2011 - 2014: Post Doc/Instructor and Simons Fellow, Princeton University.
2011 Ph.D. New York University.
2006 M. Sc. Università ''Roma Tre''.
I had the great honor of being a recipient of the following
awards :
the
Coxeter-James prize
(2022),
the
Antonio Ambrosetti Medal
(2021),
and the
ISAAC award (2019).
I am editor an at
Nonlinear Analysis. Submit your work
here.
I co-organize the Departmental Colloquium
(schedule)
and the
Fields Colloquium in Applied Math
(schedule)
Selected works
-
On the wave turbulence theory of 2d gravity waves, I: deterministic energy estimates
  - with
A. Ionescu
and
Y. Deng,
89 pages
-
Internal modes and radiation damping for quadratic Klein-Gordon in 3d
  - with
T. Léger,
127 pages
-
Quadratic Klein-Gordon equations with a potential in one dimension
(link to
arXiv version)
  - with
P. Germain
- Forum Math. Pi 10 (2022), Paper No. e17, 172 pages.
-
Bilinear estimates in the presence of a large potential and a critical NLS in 3d
  - with
A. Soffer - 94 pages. To appear in Memoirs of the Amer. Math. Soc.
-
Birkhoff normal form and long time existence for periodic gravity water waves
  - with
M. Berti
and
R. Feola
- 71 pages. To appear in Comm. Pure Appl. Math.
-
Long-time existence for multi-dimensional periodic water waves
(link to
arXiv version)
- with A. Ionescu
- Geom. Funct. Anal. (2019), vol 29, Issue 3, pp 811-870
-
Global solutions of the gravity-capillary water wave system in three dimensions
 
(link to
arXiv
version)
- with
Y. Deng,
A. Ionescu
and
B. Pausader
- Acta Mathematica 219 (2017), no. 2, 213-402
-
Global regularity for 2d water waves with surface tension
 
(link to
arXiv version)
- with
A. Ionescu
- Memoirs of the Amer. Math. Soc. (2018), vol 256, no. 1227. v+123 pages
-
Global solutions for the gravity water waves system in 2d
 
(link to arXiv version)
- with A. Ionescu
-
Inventiones Mathematicae 199 (2015), no. 3, 653-804
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