Livio Liechti
Sorbonne Université
Institut de Mathématiques de Jussieu
4 place Jussieu, Boîte Courrier 247
75252 Paris Cedex 05
e-mail: livio.liechti(makeawildguess)

My stay at the IMJ is funded by a grant of the Swiss National Science Foundation (project no. 175260).


Here is a CV.

Research interests.

Low-dimensional topology and geometry. In particular, everything concerning fibred knots, concordance, the mapping class group, pseudo-Anosov homeomorphisms, hyperbolic volume and connections to Lehmer's question.


12. Minimal Penner dilatations on nonorientable surfaces (joint with Balázs Strenner), preprint.

11. Minimal pseudo-Anosov stretch factors on nonorientable surfaces (joint with Balázs Strenner), preprint.

10. On the genus defect of positive braid knots, preprint.

9. The Arnoux-Yoccoz mapping classes via Penner's construction (joint with Balázs Strenner), preprint.

8. Checkerboard graph monodromies (joint with Sebastian Baader and Lukas Lewark), accepted for publication in Enseign. Math. (2018).

7. Teichmüller polynomials of fibered alternating links (joint with Robert Billet), accepted for publication in Osaka J. Math. (2018).

6. On the topological 4-genus of torus knots (joint with Sebastian Baader, Peter Feller and Lukas Lewark), Trans. Amer. Math. Soc. 370 (2018), no. 4, 2639-2656.

5. Minimal dilatation in Penner's construction, Proc. Amer. Math. Soc. 145 (2017), no. 9, 3941-3951.

4. Positive braid knots of maximal topological 4-genus, Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 3, 559-568.

3. On Coxeter mapping classes and fibered alternating links (joint with Eriko Hironaka), Michigan Math. J. 65 (2016), no. 4, 799-812.

2. Signature and concordance of positive knots (joint with Sebastian Baader and Pierre Dehornoy), Bull. London Math. Soc. 50 (2018), no. 1, 166-173.

1. Signature, positive Hopf plumbing and the Coxeter transformation (with an appendix jointly written with Peter Feller), Osaka J. Math. 53 (2016), no. 1, 251-266.

PhD thesis.

On the spectra of mapping classes and the 4-genera of positive knots, written under the supervision of Sebastian Baader at Universität Bern, 2017.