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My research interests are in symplectic topology
and dynamical systems.
In particular I am interested in the application of Morse-Floer theory
to Lagrangian and Hamiltonian dynamics. As an undergraduate, I also
worked on the algebraic theory of inverse
semigroups.
You can find a more detailed description of my work together with an
illustration of my ongoing and future projects in my research statement.
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Preprints
- A simple proof of the Conley
conjecture for Hamiltonian diffeomorphisms C1-close to the identity
submitted
for publication
preprint: pdf
Papers
- On the multiplicity
of
non-iterated periodic billiard trajectories
Pacific
Journal of Mathematics 252
(2011), no. 1, 181-205
preprint: pdf, published version: pdf
- (with
Peter Albers) Periodic
bounce orbits of prescribed energy
International Mathematics Research
Notices 2011, no. 14, 3289-3314
preprint: pdf, published version: pdf
- The Lagrangian Conley conjecture
Commentarii
Mathematici Helvetici 86
(2011), no. 1, 189-246
preprint: pdf,
published version: pdf
- (with
Alessandra Cherubini) On
the Decidability of the Word Problem for Amalgamated Free Products of
Inverse Semigroups
Semigroup Forum 76 (2008), no.
2, 309-329
preprint: pdf,
published version: pdf
Books
- Critical point theory for
Lagrangian systems
Progress in Mathematics, vol. 293, Birkhäuser
publisher webpage
Theses
- Periodic orbits of Tonelli
Lagrangian systems
Ph.D. Thesis
advisor: Alberto Abbondandolo
- Applicazioni della teoria degli
automi al problema della parola in semigruppi inversi
Master Thesis
advisor: Alessandra Cherubini
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