Marco Mazzucchelli

(with Colin Guillarmou) An introduction to geometric inverse problems
monograph; preliminary version:
(with Marcelo Alves) From curve shortening to flat link stability and Birkhoff sections of geodesic flows
(with Gonzalo Contreras) Closed geodesics and the first Betti number
(with Erman Çineli, Viktor L. Ginzburg, and Başak Z. Gürel) On the barcode entropy of Reeb flows
(with Erman Çineli, Viktor L. Ginzburg, and Başak Z. Gürel) Invariant sets and hyperbolic closed Reeb orbits
(with Mikko Salo and Leo Tzou) A general support theorem for analytic double fibration transforms

(with Gonzalo Contreras, Gerhard Knieper, and Benjamin Schulz) Surfaces of section for geodesic flows of closed surfaces
to appear in Ergodic Theory and Dynamical Systems
(with Philippe Bolle and Andrea Venturelli) On potentials whose level sets are orbits
Calculus of Variations and Partial Differential Equations 63 (2024), no. 7, Paper No. 187
(with Luca Baracco, Olga Bernardi, and Christian Lange) On the local maximizers of higher capacity ratios
to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
(with Viktor L. Ginzburg and Başak Z. Gürel) Barcode entropy of geodesic flows
to appear in Journal of the European Mathematical Society
(with Gonzalo Contreras) Proof of the C²-stability conjecture for geodesic flows of closed surfaces
Duke Mathematical Journal 173 (2024), no. 2, 347-390
(with Gonzalo Contreras) Existence of Birkhoff sections for Kupka-Smale Reeb flows of closed contact 3-manifolds
Geometric And Functional Analysis 32 (2022), no. 5, 951-979
(with Marco Radeschi) On the structure of Besse convex contact spheres
Transactions of the American Mathematical Society 376 (2023), no. 3, 2125-2153
(with Colin Guillarmou and Leo Tzou) Asymptotically Euclidean metrics without conjugate points are flat
The Journal of Geometric Analysis 33 (2023), no. 2, paper no. 37
(with Alberto Abbondandolo and Christian Lange) Higher systolic inequalities for 3-dimensional contact manifolds
Journal de l'École polytechnique - Mathématiques 9 (2022), 807-851
(with Guido De Philippis, Michele Marini, and Stefan Suhr) Closed geodesics on reversible Finsler 2-spheres
Journal of Fixed Point Theory and Applications 24 (2022), no. 2, paper no. 19 (Claude Viterbo's 60th birthday Festschrift)
(with Alberto Abbondandolo) The monotonicity of the systole of convex Riemannian two-spheres
appendix of the paper Relative Hofer–Zehnder capacity and positive symplectic homology by Gabriele Benedetti and Jungsoo Kang
Journal of Fixed Point Theory and Applications 24 (2022), no. 2, paper no. 44 (Claude Viterbo's 60th birthday Festschrift)
(with Stefan Suhr) A min-max characterization of Zoll Riemannian metrics
Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022), no. 3, 591-615
(with Viktor L. Ginzburg and Başak Z. Gürel) On the spectral characterization of Besse and Zoll Reeb flows
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 38 (2021), no. 3, 549-576
(with Colin Guillarmou and Leo Tzou) Boundary and lens rigidity for non-convex manifolds
American Journal of Mathematics 143 (2021), no. 2, 533-575
(with Luca Asselle and Gabriele Benedetti) Minimal boundaries in Tonelli Lagrangian systems
International Mathematics Research Notices 2021, no. 20, 15746-15787
(with Daniel Cristofaro-Gardiner) The action spectrum characterizes closed contact 3-manifolds all of whose Reeb orbits are closed
Commentarii Mathematici Helvetici 95 (2020), no. 3, 461-481.
(with Luca Asselle) Waist theorems for Tonelli systems in higher dimensions
Manuscripta Mathematica 163 (2020), no. 1-2, 185-199
(with Luca Asselle) On Tonelli periodic orbits with low energy on surfaces
Transactions of the American Mathematical Society 371 (2019), no. 5, 3001-3048
(with Stefan Suhr) A characterization of Zoll Riemannian metrics on the 2-sphere
Bulletin of the London Mathematical Society 50 (2018), 997-1006
corrigendum
(with Luca Asselle) Closed geodesics with local homology in maximal degree on non-compact manifolds
Differential Geometry and its Applications 58 (2018), 17-51
corrigendum
(with Colin Guillarmou) Marked boundary rigidity for surfaces
Ergodic Theory and Dynamical Systems 38 (2018), no. 4, 1459-1478
(with Leonardo Macarini) Isometry-invariant geodesics and the fundamental group, II
Advances in Mathematics 308 (2017), 671-698
(with A. Abbondandolo, L. Asselle, G. Benedetti, and I. A. Taimanov) The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
Advanced Nonlinear Studies 17 (2017), no. 1, 17-30
(with Luca Asselle) On the existence of infinitely many closed geodesics on non-compact manifolds
Proceedings of the American Mathematical Society 145 (2017), no. 6, 2689-2697
(with A. Abbondandolo, L. Macarini, and G. P. Paternain) Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
Journal of the European Mathematical Society 19 (2017), no. 2, 551-579
The Morse index of Chaperon's generating families
Publicaciones Matemáticas del Uruguay 16 (2016), 81-125
(with Alfonso Sorrentino) Remarks on the symplectic invariance of Aubry-Mather sets
Comptes Rendus de l'Académie des Sciences de Paris - Séries I 354 (2016), no. 4, 419-423
Isometry-invariant geodesics and the fundamental group
Mathematische Annalen 362 (2015), no. 1-2, 265-280
On the multiplicity of isometry-invariant geodesics on product manifolds
Algebraic & Geometric Topology 14 (2014), 135-156
Symplectically degenerate maxima via generating functions
Mathematische Zeitschrift 275 (2013), no. 3-4, 715-739
On the multiplicity of non-iterated periodic billiard trajectories
Pacific Journal of Mathematics 252 (2011), no. 1, 181-205
(with Peter Albers) Periodic bounce orbits of prescribed energy
International Mathematics Research Notices 2011, no. 14, 3289-3314
The Lagrangian Conley conjecture
Commentarii Mathematici Helvetici 86 (2011), no. 1, 189-246
(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

Critical point theory for Lagrangian systems
Progress in Mathematics, vol. 293, Birkhäuser
corrigendum

Periodic orbits in symplectic dynamics
Habilitation thesis, École normale supérieure de Lyon
Periodic orbits of Tonelli Lagrangian systems
Ph.D. thesis, Università di Pisa
advisor: Alberto Abbondandolo
Applicazioni della teoria degli automi al problema della parola in semigruppi inversi
Master thesis, Politecnico di Milano
advisor: Alessandra Cherubini

Preprints

Papers

Books

Theses

	Marco Mazzucchelli, UMPA, ENS de Lyon, 46 allée d'Italie, 69364 Lyon, France
	+33426233839
	marco.mazzucchelli@ens-lyon.fr