My publications
In this page you can find the list of my publications and the links to the pdf version.
Published or accepted papers
D. Alessandrini, S. Maloni, N. Tholozan, A. Wienhard, Fiber bundles associated with Anosov representations, to appear in Forum of Mathematics Sigma, preprint arXiv:2303.10786.
D. Alessandrini, O. Guichard, E. Rogozinnikov, A. Wienhard, Noncommutative coordinates for symplectic representations, Memoirs of AMS 300 (2024), 1-116.
D. Alessandrini, C. Davalo, Q. Li, Projective Structures with (Quasi-)Hitchin Holonomy, Journal of the London Mathematical Society 110 no. 4 (2024), 56 pages.
D. Alessandrini (joint w. S. Maloni, N. Tholozan, A. Wienhard), Domains of Discontinuity for Anosov Representations, Oberwolfach Reports 20 (2024), 1847-1849. https://doi.org/10.14760/OWR-2023-33
D. Alessandrini, G. Lee, F. Schaffhauser, Hitchin components for orbifolds, Journal of the European Mathematical Society 25 (2023), 1285-1347. https://doi.org/10.4171/JEMS/1210
D. Alessandrini, V. Disarlo, Generalizing stretch lines for surfaces with boundary, International Mathematics Research Notices 2022 (2022), 18919-18991. https://doi.org/10.1093/imrn/rnab222
D. Alessandrini, A. Berenstein, V. Retakh, E. Rogozinnikov, A. Wienhard, Symplectic groups over noncommutative algebras, Selecta Mathematica 28 (2022), 119 pages. https://doi.org/10.1093/10.1007/s00029-022-00787-x
D. Alessandrini, Higgs bundles and geometric structures on manifolds, SIGMA 15 (2019), 039, 32 pages.
D. Alessandrini, B. Collier, The Geometry of Maximal Components of the PSp(4,R) Character Variety, Geometry & Topology 23 (2019), 1251-1337.
D. Alessandrini, Q. Li, AdS 3-manifolds and Higgs Bundles, Proceedings of AMS 146 (2018), n. 2, 845-860.
V. Disarlo (joint w. D. Alessandrini), Generalized stretch lines for surfaces with boundary, Oberwolfach Reports 40 (2018), 2506-2509.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, The Horofunction Compactification of Teichmuller Spaces of Surfaces with Boundary, Topology and its Applications, 208 (2016), 160-191.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space, Monatshefte Math 179 (2016), 165-189.
D. Alessandrini, New Trends in Teichmüller Theory and Mapping Class Groups - Open Questions, Oberwolfach Reports 11 (2014), 444-447.
D. Alessandrini, M. Nesci, On the tropicalization of the Hilbert schemes, Collectanea Mathematica 64 (2013), n. 1, 39-59, the final publication is available at www.springerlink.com.
D. Alessandrini, Logarithmic limit sets of real semi-algebraic sets, Advances in Geometry 13 (2013), n. 1, 155-190.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, The behaviour of Fenchel-Nielsen distance under a change of pants decomposition, Communications in Analysis and Geometry 20 (2012), n. 2, 369-396.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, On local comparison between various metrics on Teichmüller spaces, Geometriae Dedicata 157 (2012), n. 1, 91-110.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, On various Teichmüller spaces of a surface of infinite topological type, Proceedings of the American Mathematical Society 140 (2012), 561-574.
D. Alessandrini, A.Saracco, Convexity properties and complete hyperbolicity of Lempert's elliptic tubes, International Journal of Mathematics 22 (2011), 603-617, Copyright © 2011 World Scientific Publishing Company, reproduced with permission from World Scientific Publishing Co. Pte. Ltd.
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su, Z. Sun, On Fenchel-Nielsen coordinates on Teichmüller spaces of surfaces of infinite type, Annales Academiae Scientiarum Fennicae-Mathematica 36 (2011), 621-659.
D. Alessandrini, On Teichmüller spaces for surfaces of infinite topological type, Oberwolfach Reports 7 (2010), 3113-3116.
D. Alessandrini, Dequantization of real convex projective manifolds, AMS Contemporary Mathematics 495 (2009), 61-84.
D. Alessandrini, Tropicalization of group representations, Algebraic & Geometric Topology 8 (2008), 279-307.
D. Alessandrini, Geometric properties of logarithmic limit sets over the reals, Oberwolfach Reports 4 (2007), 3286-3288.
Preprints
D. Alessandrini, Amoebas, tropical varieties and compactification of Teichmüller spaces, preprint arXiv:math/0505269.
D. Alessandrini, A compactification for the spaces of convex projective structures on manifolds, preprint arXiv:0801.0165.
Papers in preparation
D. Alessandrini, Q. Li, A. Sanders, Nilpotent Higgs bundles and minimal surfaces in hyperbolic three space, in preparation.
PhD Thesis
Title : A tropical compactification for character spaces of convex projective structures
Date of defence : 20/12/2007
Institution : Scuola Normale Superiore, Pisa
Final mark : 70/70 cum laude
Advisor : Riccardo Benedetti, University of Pisa