Daniele Alessandrini
Lecturer
Charles V. Schaefer, Jr. School of Engineering and Science
Department of Mathematical Sciences
Education
- PhD (2007) Scuola Normale Superiore (Mathematics)
- MS (2003) University of Pisa (Mathematics)
Research
Geometric Topology, Differential Geometry, Geometry of Surfaces.
Higher Teichmüller Theory, Higgs Bundles, Geometric Structures, Character Varieties,
Teichmüller Theory, Hyperbolic Geometry.
Higher Teichmüller Theory, Higgs Bundles, Geometric Structures, Character Varieties,
Teichmüller Theory, Hyperbolic Geometry.
Selected Publications
Recent preprints
1. D. Alessandrini, S. Maloni, N. Tholozan, A. Wienhard, Fiber bundles associated with Anosov representations, preprint arXiv:2303.10786.
Published or accepted papers
24. D. Alessandrini, O. Guichard, E. Rogozinnikov, A. Wienhard, Noncommutative coordinates for symplectic representations, Memoirs of AMS 300 (2024), 1-116.
23. D. Alessandrini, C. Davalo, Q. Li, Projective Structures with (Quasi-)Hitchin Holonomy, Journal of the London Mathematical Society 110 no. 4 (2024), 56 pages.
22. D. Alessandrini (joint w. S. Maloni, N. Tholozan, A. Wienhard), Domains of Discontinuity for Anosov Representations, Oberwolfach Reports 20 (2024), 1847-1849. 21. D. Alessandrini, G. Lee, F. Schaffhauser, Hitchin components for orbifolds, Journal of the European Mathematical Society 25 (2023), 1285-1347.
20. D. Alessandrini, A. Berenstein, V. Retakh, E. Rogozinnikov, A. Wienhard, Symplectic groups over noncommutative algebras, Selecta Mathematica 28 (2022), 119 pages.
19. D. Alessandrini, V. Disarlo, Generalizing stretch lines for surfaces with boundary, International Mathematics Research Notices 2022 (2022), 18919-18991.
18. D. Alessandrini, Higgs bundles and geometric structures on manifolds, SIGMA 15 (2019), 039, 32 pages.
17. D. Alessandrini, B. Collier, The Geometry of Maximal Components of the PSp(4,R) Character Variety, Geometry & Topology 23 (2019), 1251-1337.
16. D. Alessandrini, Q. Li, AdS 3-manifolds and Higgs Bundles, Proceedings of AMS 146 (2018), n. 2, 845-860.
15. V. Disarlo (joint w. D. Alessandrini), Generalized stretch lines for surfaces with boundary, Oberwolfach Reports 40 (2018), 2506-2509.
14. 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.
13. 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.
12. D. Alessandrini, New Trends in Teichmüller Theory and Mapping Class Groups - Open Questions, Oberwolfach Reports 11 (2014), 444-447.
11. D. Alessandrini, M. Nesci, On the tropicalization of the Hilbert schemes, Collectanea Mathematica 64 (2013), n. 1, 39-59.
10. D. Alessandrini, Logarithmic limit sets of real semi-algebraic sets, Advances in Geometry 13 (2013), n. 1, 155-190.
9. 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.
8. 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.
7. 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.
6. D. Alessandrini, A.Saracco, Convexity properties and complete hyperbolicity of Lempert's elliptic tubes, International Journal of Mathematics 22 (2011), 603-617.
5. 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.
4. D. Alessandrini, On Teichmüller spaces for surfaces of infinite topological type, Oberwolfach Reports 7 (2010), 3113-3116.
3. D. Alessandrini, Dequantization of real convex projective manifolds, AMS Contemporary Mathematics 495 (2009), 61-84.
2. D. Alessandrini, Tropicalization of group representations, Algebraic & Geometric Topology 8 (2008), 279-307.
1. D. Alessandrini, Geometric properties of logarithmic limit sets over the reals, Oberwolfach Reports 4 (2007), 3286-3288.
1. D. Alessandrini, S. Maloni, N. Tholozan, A. Wienhard, Fiber bundles associated with Anosov representations, preprint arXiv:2303.10786.
Published or accepted papers
24. D. Alessandrini, O. Guichard, E. Rogozinnikov, A. Wienhard, Noncommutative coordinates for symplectic representations, Memoirs of AMS 300 (2024), 1-116.
23. D. Alessandrini, C. Davalo, Q. Li, Projective Structures with (Quasi-)Hitchin Holonomy, Journal of the London Mathematical Society 110 no. 4 (2024), 56 pages.
22. D. Alessandrini (joint w. S. Maloni, N. Tholozan, A. Wienhard), Domains of Discontinuity for Anosov Representations, Oberwolfach Reports 20 (2024), 1847-1849. 21. D. Alessandrini, G. Lee, F. Schaffhauser, Hitchin components for orbifolds, Journal of the European Mathematical Society 25 (2023), 1285-1347.
20. D. Alessandrini, A. Berenstein, V. Retakh, E. Rogozinnikov, A. Wienhard, Symplectic groups over noncommutative algebras, Selecta Mathematica 28 (2022), 119 pages.
19. D. Alessandrini, V. Disarlo, Generalizing stretch lines for surfaces with boundary, International Mathematics Research Notices 2022 (2022), 18919-18991.
18. D. Alessandrini, Higgs bundles and geometric structures on manifolds, SIGMA 15 (2019), 039, 32 pages.
17. D. Alessandrini, B. Collier, The Geometry of Maximal Components of the PSp(4,R) Character Variety, Geometry & Topology 23 (2019), 1251-1337.
16. D. Alessandrini, Q. Li, AdS 3-manifolds and Higgs Bundles, Proceedings of AMS 146 (2018), n. 2, 845-860.
15. V. Disarlo (joint w. D. Alessandrini), Generalized stretch lines for surfaces with boundary, Oberwolfach Reports 40 (2018), 2506-2509.
14. 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.
13. 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.
12. D. Alessandrini, New Trends in Teichmüller Theory and Mapping Class Groups - Open Questions, Oberwolfach Reports 11 (2014), 444-447.
11. D. Alessandrini, M. Nesci, On the tropicalization of the Hilbert schemes, Collectanea Mathematica 64 (2013), n. 1, 39-59.
10. D. Alessandrini, Logarithmic limit sets of real semi-algebraic sets, Advances in Geometry 13 (2013), n. 1, 155-190.
9. 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.
8. 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.
7. 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.
6. D. Alessandrini, A.Saracco, Convexity properties and complete hyperbolicity of Lempert's elliptic tubes, International Journal of Mathematics 22 (2011), 603-617.
5. 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.
4. D. Alessandrini, On Teichmüller spaces for surfaces of infinite topological type, Oberwolfach Reports 7 (2010), 3113-3116.
3. D. Alessandrini, Dequantization of real convex projective manifolds, AMS Contemporary Mathematics 495 (2009), 61-84.
2. D. Alessandrini, Tropicalization of group representations, Algebraic & Geometric Topology 8 (2008), 279-307.
1. D. Alessandrini, Geometric properties of logarithmic limit sets over the reals, Oberwolfach Reports 4 (2007), 3286-3288.