Alessia Mandini Professor (tenure-track) Mathematics Department / PUC-Rio Rua Marquês de São Vicente, 225 - Edifício Cardeal Leme CEP 22451-900, Rio de Janeiro, Brazil email : alessia.mandini_at_mat.puc-rio.br alessia.mandini_at_gmail.com

My research interests include symplectic geometry and topology. I am interested in the study of Kähler and hyperkähler manifolds (in particular polygon and hyperpolygon spaces), moduli problems such as moduli of parabolic and parabolic Higgs bundles, equivariant cohomology, geometric quantization, cobordism, Gromov width and related topics. Recently I also got interested in symplectic embeddings and toric contact geometry.

• The cobordism class of the moduli space of polygons in R3 , J. Symplectic Geom. 7, no. 1 (2009), 1-27.


• Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles, joint with Leonor Godinho , Adv. Math. 244 (2013), 465-532.


• Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1 , joint with Indranil Biswas , Carlos Florentino and Leonor Godinho , Transformation Groups 8 (2013), 995-1018.


• The Duistermaat-Heckman formula and the cohomology of moduli spaces of polygons , arXiv:0811.4062, J. Symplectic Geometry, Vol. 12, No. 1 (2014), 171-213.


• Symplectic form on hyperpolygon spaces , joint with Indranil Biswas , Carlos Florentino and Leonor Godinho , Geometriae Dedicata, Vol. 179, Issue 1 (2015), 187-195.


• Gromov width of polygon spaces , joint with Milena Pabiniak , arXiv 1501.00298


• Toric contact-symplectic spaces, joint with Fiammetta Battaglia , Leonor Godinho , Dan Zaffran, IN PREPARATION


• Symplectic embeddings and infinite staircases, joint with Dan Cristofaro-Gardiner , Tara Holm , Ana Rita Pires , IN PREPARATION (if you want to know more, watch this great seminar by Ana Rita!)

• A Note on the Moduli Space of Polygons, XVI International FallWorkshop, R. L. Fernandes and R. Picken (eds.), AIP Conference Proceedings Volume 1023, pp. 158 - 161, 2008.
• Some results on polygon and hyperpolygon spaces, Bol. Soc. Port. Mat. 2010, Special Issue, 57 - 61.

I received a PhD degree from the Department of Mathematics at the University of Bologna in June 2007 under the supervision of Luca Migliorini. After that, I have been a post-doctoral fellow at Department of Mathematics of IST in Lisbon, first with a grant awarded by CAMGSD (Sept. 2007 - May 2009) and then with an FCT fellowship (June 2009 - August 2013). I then held a post-doctoral fellowship at the mathematics department of the University of Pavia (September 2013 - February 2015). Since March 2015 I hold a tenure-track position at the Mathematics Department of PUC-Rio.
During my post-doctoral time I also held several short term visiting position, among which at the Isaac Newton Institute for Mathematical Sciences (March 2011) to take part in the Programme on Moduli Spaces , and at the MSRI, University of California at Berkeley, for the programme "Symplectic and Contact Geometry and Topology" (academic year 2009/2010). Before that, I had short visiting positions at the University of Barcelona (Nov. - Dec.2009) and at the University of Utrecht (February--June 2007, funded by a Marco Polo grant awarded by the University of Bologna).