The scientific activities of the group are focused on different aspects of Algebraic and Arithmetic Geometry, Combinatorics of Evolutionary Structures, Complex and Differential Geometry, and Geometric Topology.
The group runs the following Seminars Series:
 Algebraic and Arithmetic Geometry Seminar
 Baby Geometri Seminar (managed by the Ph.D. Students of the Department and at the Scuola Normale Superiore)
 Dynamical Systems Seminar
 Geometry Seminar (focusing on topics related to Geometric Topology)
 Seminar on Combinatorics, Lie Theory, and Topology
Usually, the group organizes workshops, conferences, and summer schools. A list of the upcoming ones is available on this page.
Research Topics
Algebraic and arithmetic geometry
Members
Below is the list of the specific topics studied in this research area, each of them with a detailed description and the lists of members and collaborators.
Cohomology of varieties and arithmetic questions
Given an algebraic variety $X$ defined over a field $k$, one can associate to it various cohomology groups: coherent, étale, $p$adic, or even motivic. These groups reflect the geometry, and in case $k$ is of arithmetic interest, the arithmetic of the variety $X$. Using cohomological methods we study, among other things:
 algebraic cycles
 algebraic fundamental groups
 localglobal principles for rational points
Members
Collaborators
Logarithmic and tropical algebraic geometry
Logarithmic geometry is an enhanced version of algebraic geometry, where spaces are equipped with an additional structure sheaf, which encodes information of a combinatorial nature (e.g. toric varieties). This recent theory has been fruitfully applied to questions regarding special kinds of degenerations of varieties or other more complicated objects, and compactifications of moduli spaces, for example in the context of mirror symmetry. There are also very interesting interactions with the field of tropical (and nonArchimedean) geometry. Our activity focuses for example on
 the study of moduli spaces of parabolic bundles (some notion of coherent sheaf, adapted to log schemes)
 sheafcounting on log smooth varieties
 interactions between (log) algebraic and tropical moduli spaces (e.g. for curves with level structures)
Members
Collaborators
Moduli spaces of surfaces
The moduli space of surfaces of general type is well known to have an intricate structure. Its “geography” has been extensively studied. Furthermore, a modular compactification of it is the moduli
space of stable surfaces, i.e. semilogcanonical surfaces with ample canonical divisor. The activity of the group is focused on the analysis of the compactified moduli space $\mathcal{M}(a,b)$ (where $a=K^2$ and $b$ is the holomorphic Euler characteristic), with particular attention to the case of surfaces with low numerical invariants. Such analysis is given by studying logcanonical pairs via a classical approach and analyzing the singularities, via Deformation Theory, and a detailed study of the canonical ring.
Related goals are to extend the knowledge of the moduli space by analyzing $\mathbb{Q}$Gorenstein surfaces and to study the Hodge theoretic approach, by associating to a variety its cohomology and analyzing the induced variation of Hodge structures.
Members
Collaborators
Moduli stacks, cohomological Hall algebras, and quantum groups
Quantum groups encode the ‘hidden symmetries’ of quantum physics through integrability. The geometric approach to these groups has proven successful in various areas, including representation theory (e.g. the theory of MaulikOkounkov Yangians), the theory of moduli stacks and spaces (e.g. the proof of Beauville and Voisin’s conjectures of MaulikNegut), and theoretical physics (e.g. the proof of the AldayGaiottoTachikawa conjecture).
Our group aims to investigate quantum groups through their geometric incarnations, focusing on Hall algebras and their refined versions (such as cohomological, Ktheoretical, and categorified) associated with moduli stacks of coherent sheaves on curves or surfaces.
Members
Collaborators
Moduli stacks of curves and their invariants
The interests of this group focus on moduli stacks of curves and surfaces, and on explicit computations of some of their invariants (e.g. Chow rings, unramified cohomology, Brauer groups). The stacks studied by the group are: moduli stacks of smooth/stable marked curves, moduli stacks of Weierstrass fibrations, moduli stacks of polarized K3 surfaces, moduli stacks of stable maps.
Members
Collaborators
Combinatorics of evolutionary structures
I am interested in combinatorial methods and structures of use in the study of the evolutionary relationships among or within groups of organisms. A particular focus is on coalescent models of evolution, in which gene trees, representing the evolutionary history of individual genes sampled from a set of species, evolve along the branches of species trees, reflecting the history of species divergences. In order to understand how features of the species tree can influence the distribution of the possible gene trees, the number and probability of the combinatorially different configurations that gene trees can assume within a given species tree are investigated. When individual gene copies are selected within a single species, the gene tree is modeled as a random coalescent tree that evolves independently of the branching pattern of the species tree, and the goal is to describe the distributive properties of its combinatorial parameters.
Members
Collaborators
Complex and differential geometry
The group focuses on different aspects of complex and differential geometry from both an analytical and a geometric viewpoint.
Members
Below is the list of the specific topics studied in this research area, each of them with a detailed description and the lists of members and collaborators.
Complex differential geometry
We studied complex Finsler manifolds, having in mind as a guiding example hyperbolic manifolds endowed with the Kobayashi metric, and in particular KählerFinsler manifolds with constant holomorphic curvature. Using techniques coming from both differential geometry and algebraic topology we studied the rich geometrical structure of analytic varieties that can be obtained as fixed point sets of a holomorphic selfmap, proving a number of index theorems generalising to this setting classical BaumBott and LehmannSuwa theorems known for holomorphic foliations, and with applications to holomorphic dynamics.
Members
Collaborators
Einstein and special metrics
We study the aspect of differential geometry that revolves around the explicit construction of Einstein or special metrics, with special emphasis on the case where the metric is either homogeneous or of cohomogeneity one.
Riemannian homogeneous Einstein metrics of negative scalar curvature can be identified with leftinvariant metrics on a Lie group, and more precisely standard metrics on a solvable Lie algebra. In the pseudoRiemannian case, homogeneous Einstein metric need not be standard, and the Lie algebra may be nilpotent. Our goal is to prove more general structure results for arbitrary signature, and obtain classifications under suitable extra assumptions.
Regardless of any assumption of invariance, among Einstein metrics one finds those of special holonomy and those that admit a Killing spinor; weaker geometries can also be considered. All these fall into the class of special metrics. Of particular interest to us is the interplay between the intrinsic torsion and curvature of a special metric. We also aim at producing examples, both by direct inspection of leftinvariant metrics on Lie groups and by exploiting the wellposedness of the Cauchy problem for hypersurfaces, which often holds in the context of special metrics.
Members
Collaborators and Ph.D. students at other institutions
Geometric function theory
A characteristic feature of complex analysis is the use of geometrical tools to study analytic phenomena. A typical example consists in using the behaviour of the natural invariant (under biholomorphisms) metrics and distances defined on complex manifolds to study the boundary behaviour of holomorphic functions or the action of integral operators on spaces of holomorphic functions. In particular, we are using the Kobayashi metric and distance in pseudoconvex and convex domains to study the boundary behaviour of the derivatives of a holomorphic function at a specific point in the boundary and, more recently, to study the mapping properties of Toeplitz operators on weighted Bergmann spaces using characterisations of Carleson measures expressed in terms of Kobayashi balls.
Members
Collaborators
Holomorphic dynamical systems
In the last forty years, the study of holomorphic dynamical systems has become one of the most important topics in complex analysis and complex geometry of one and several variables, at the forefront of contemporary mathematical research. In Pisa, we are particularly interested in studying:
 the global dynamics of holomorphic selfmaps of hyperbolic manifolds and domains, and more generally of nonexpanding selfmaps of Gromov hyperbolic metric spaces;
 the local dynamics around a nonhyperbolic fixed point;
 the dynamics of meromorphic connections on hyperbolic Riemann surfaces;
 the global dynamics of complex dynamical systems in any dimension (endomorphisms of projective spaces, Hénon maps, automorphisms of Kahler manifolds), usually through pluripotential theory methods;
 Stability and bifurcation phenomena in one and several complex variables.
Members
Collaborators
Geometric topology
Members
Below is the list of the specific topics studied in this research area, each of them with a detailed description and the lists of members and collaborators.
Classical and higher rank Teichmüller theory
This area of research studies the geometric and dynamical properties of representations of the fundamental group of a surface $S$ (of negative Euler characteristic) into a Lie group $G$. For example, when $G=\mathbb{P}\mathrm{SL}(2, \mathbb{R})$, conjugacy classes of discrete and faithful representations are in bijection with the Teichmüller space of $S$, the space of marked hyperbolic (or complex) structures on $S$. More in general, and especially for Lie groups of rank $2$ (i.e., $G=\mathrm{SL}(3,\mathbb{R}), \mathrm{Sp}(4, \mathbb{R}, \mathrm{SO}(2,2), G_{2}$), researchers have identified special connected components of the character variety $\mathrm{Hom}(\pi_{1}(S), G)/G$ that parametrize geometric structures on $S$, or fiber bundles over $S$, and share a lot of similarities with the classical Teichmüller space.
The main goal of this research is to understand to which extent the classical Teichmüller theory generalizes to the higher rank. Some aspects include:
 the study of diverging sequences of representations and the definition of the analogue of Thurston’s boundary for higher rank Teichmüller spaces;
 the analysis of equivariant harmonic maps from the universal cover of $S$ into the symmetric space $G/K$ and the real Euclidean building modeled on $\mathfrak{g}$;
 the definition of natural (pseudo)Riemannian metrics on these higher Teichmüller components and the study of their global geometry.
Members
Collaborators
Hyperbolic geometry
The uniformisation of surfaces of Koebe and Poincaré and the geometrisation of 3manifolds of Thurston and Perelman have shown that every manifold of dimensions 2 and 3 admits a geometric structure (after cutting along some canonical spheres and tori in dimension 3). The prominent role among these geometric structures is played by hyperbolic geometry, that is by far the prevalent
structure. It is also the richest and most studied structure in dimensions 2 and 3.
The deformation spaces of hyperbolic 2 and 3manifolds are the focus of a vast literature concerning Teichmueller spaces and hyperbolic fillings of open manifolds. Moreover, the topology of hyperbolic 3manifolds is a central topic in lowdimensional topology. But hyperbolic manifolds are abundant in any dimension, and a major goal is to understand their topology as well as their deformation spaces. To this aim, the members of the research group rely on many techniques, from the decomposition of manifolds into hyperbolic polytopes to the study of the topology of fibrations over the circle, to the investigation of the variety of representations of discrete groups into the Lie group of the isometries of hyperbolic space.
Members
Collaborators and Ph.D. students at other institutions
Hyperplane arrangements
The group investigates the combinatorial and topological properties of hyperplane arrangements. From such a point of view, we study the theory of Coxeter groups (seen as reflection groups), Artin groups (seen as fundamental groups of the complements of reflection arrangements), and the computation of cohomology groups of the complements of hyperplane arrangements, both in the linear and the toric cases.
To obtain an explicit characterization of the cohomology ring of the complement of a toric arrangement, the group is studying wonderful compactifications of the complements. This approach allows the definition of a certain differential graded algebra, which ‘governs’ the cohomology ring.
At the moment, the group is interested in the following topics:
 the $K(\pi, 1)$ conjecture for all possible Coxeter groups and the corresponding hyperplane arrangements (for example, the affine simplicial arrangements, which are a natural generalization of the affine reflection arrangements);
 the study of the socalled dual Coxeter groups, which depend on an element of the group and an interval formed by its divisors;
 the study of combinatorial properties (such as the shellability property) for intervals as above;
 the construction of an explicit basis of the integral ring cohomology of complements of toric arrangements and the explicit characterization of the corresponding differential graded algebra in specific examples.
Members
Collaborators
emanuele.delucchi@supsi.ch
Lowdimensional topology
This wide research area encompasses several subjects of interest for the research group.
In dimension 2, for example, we investigate the Hurwitz problem concerning the existence of branched covering between surfaces realizing a fixed combinatorial datum. To this aim, one may exploit Grothendieck’s dessins d’enfant, as well as the geometry of spherical, flat, and hyperbolic 2orbifolds.
In dimension 3 some topics of interest for the group are the HeegaardFloer homology of rational homology 3spheres (with particular attention towards possible applications to the Lspace conjecture) and the theory of knots and links in the sphere and in general 3manifolds. A particular interest is devoted to Legendrian links, and to the study of Khovanov homology. 3manifold topology is also involved in the study of apparent contours of surfaces in 3space and in general 3manifolds.
The topology of 4manifolds is a very active research field, and the group is also interested in this area. Among the topics covered by the group, there are the study of handlebody decompositions of 4manifolds, HeegaardFloer homology, and 3dimensional knot theory from a 4dimensional viewpoint.
Members
Collaborators and Ph.D. students at other institutions
Simplicial volume and bounded cohomology
The simplicial volume is a homotopy invariant of manifolds defined by Gromov in 1982. Despite its purely topological definition, it is deeply related to the geometric structures that a manifold can carry.
Thanks to Thurston’s (now proved) Geometrization Conjecture, the simplicial volume of closed 3manifolds is well understood. Much less is known in higher dimensions, or for open manifolds, and the group is interested in further investigating these research fields (with particular care devoted to aspherical manifolds).
A powerful tool for the computation of the simplicial volume is the socalled bounded cohomology (of groups and of spaces), which is itself a very active research field. Computing the bounded cohomology of groups is very challenging (for example, the problem of whether it vanishes or not for free groups in degrees bigger than 3 is still open), and the research group aims at achieving some progress in this direction, as well as at studying the relationship between bounded cohomology and other related areas like representation theory, group actions on the circle, ergodic theory of groups.
Members
Collaborators and Ph.D. students at other institutions
People
Faculty
Name  Surname  Personal Card  

Marco  Abate  marco.abate@unipi.it  
Fabrizio  Bianchi  fabrizio.bianchi@unipi.it  
Filippo Gianluca  Callegaro  filippo.callegaro@unipi.it  
Diego  Conti  diego.conti@unipi.it  
Andrea  Di Lorenzo  andrea.dilorenzo@unipi.it  
Filippo  Disanto  filippo.disanto@unipi.it  
Marco  Franciosi  marco.franciosi@unipi.it  
Roberto  Frigerio  roberto.frigerio@unipi.it  
Paolo  Lisca  paolo.lisca@unipi.it  
Sandro  Manfredini  sandro.manfredini@unipi.it  
Bruno  Martelli  bruno.martelli@unipi.it  
Rita  Pardini  rita.pardini@unipi.it  
Gregory James  Pearlstein  greg.pearlstein@unipi.it  
Ekaterina  Pervova  ekaterina.pervova@unipi.it  
Carlo  Petronio  carlo.petronio@unipi.it  
Francesco  Sala  francesco.sala@unipi.it  
Mario  Salvetti  mario.salvetti@unipi.it  
Tamás  Szamuely  tamas.szamuely@unipi.it  
Mattia  Talpo  mattia.talpo@unipi.it  
Andrea  Tamburelli  andrea.tamburelli@unipi.it 
Affiliate Members
Name  Surname  Personal Card  

Francesca  Acquistapace  francesca.acquistapace@unipi.it  
Riccardo  Benedetti  riccardobenedetti53@gmail.com  
Fabrizio  Broglia  broglia@dm.unipi.it  
Elisabetta  Fortuna  elisabetta.fortuna@unipi.it  
Fulvio  Lazzeri  fulvio.lazzeri@unipi.it 
Former Members
Name  Surname 

Fabrizio M. E.  Catanese 
Postdoctoral Fellows
Name  Surname  Personal Card  

Carlo  Collari  carlo.collari@dm.unipi.it  
Filippo  Sarti  filippo.sarti@dm.unipi.it  
Dario  Weißmann  dario.weissmann@dm.unipi.it 
Ph.D. Students at the University of Pisa
Name  Surname  Personal Card  

Filippo  Bianchi  filippo.bianchi@phd.unipi.it  
Giovanni  Framba  giovanni.framba@phd.unipi.it  
Viola  Giovannini  v.giovannini1@studenti.unipi.it  
Pietro  Leonardini  pietro.leonardini@phd.unipi.it  
Luigi  Marigliano  luigi.marigliano@phd.unipi.it  
Sirio  Resteghini  sirio.resteghini@phd.unipi.it 
Ph.D. Students at other institutions
Name  Surname  Affiliation 

Federica  Bertolotti  SNS, Pisa 
Pietro  Capovilla  SNS, Pisa 
Jacopo Guoyi  Chen  SNS, Pisa 
Gemma  Di Petrillo  Università degli Studi di Trento 
Alessio  Di Prisa  SNS, Pisa 
Giovanni  Italiano  SNS, Pisa 
Qiangru  Kuang  SISSA, Trieste 
Francesco  Milizia  SNS, Pisa 
Romeo  Segnan Dalmasso  Università degli Studi di MilanoBicocca 
Ph.D. Theses supervised by members of the group
awarded by the University of Pisa
Year  Name  Surname  Title of the Thesis  Supervisor(s) 

2024  Francesco  Conti  A bridge between persistent homology and group equivariant nonexpansive operators: theory and applications  Patrizio Frosini and Davide Moroni and Maria Antonietta Pascali 
2024  Mattia  Pirani  Flasque quasiresolutions and nonsurjectivity of the evaluation map for homogeneous spaces  Philippe Gille and Tamás Szamuely 
2024  Alice  Merz  Braids, homomorphism defects of link invariants and combinatorial aspects of strongly invertible links  Paolo Lisca 
2024  Giuseppe  Bargagnati  Simplicial volume of open manifolds  Roberto Frigerio 
2023  Andrea  Parma  Horizontal decompositions and smooth embeddings of rational homology balls  Paolo Lisca 
2023  Domenico  Marasco  Efficient cycles for $H^2 \times H^2$ and products in bounded cohomology  Roberto Frigerio 
2022  Ludovico  Battista  Hyperbolic 4manifolds, perfect circlevalued Morse functions and infinitesimal rigidity  Bruno Martelli 
2021  Chiara  Spagnoli  The eventual map for irregular varieties  Rita Pardini 
2021  Leonardo Henrique  Caldeira Pires Ferrari  Hyperbolic manifolds and coloured polytopes  Bruno Martelli 
2021  Federico Cesare Giorgio  Conti  Surfaces close to the Severi lines  Rita Pardini 
2020  Karim  Rakhimov  Dynamics of geodesics for meromorphic connections on Riemann surfaces  Marco Abate 
2018  Kirill  Kuzmin  Quasiisometric rigidity for universal covers of manifolds with a geometric decomposition  Roberto Frigerio 
2018  Marco  Moraschini  On Gromov’s theory of multicomplexes: the original approach to bounded cohomology and simplicial volume  Roberto Frigerio 
2017  Stefano  Riolo  Conemanifolds and hyperbolic surgeries  Bruno Martelli 
2016  Fabrizio  Bianchi  Motions of Julia sets and dynamical stability in several complex variables  Marco Abate and François Berteloot 
2016  Federico  Franceschini  Simplicial volume and relative bounded cohomology  Roberto Frigerio 
2016  Alessio  Carrega  Shadows and quantum invariants  Bruno Martelli 
2015  Matteo  Serventi  Combinatorial and geometric invariants of configuration spaces  Giovanni Gaiffi and Mario Salvetti 
2012  Cristina  Pagliantini  Relative (continuous) bounded cohomology and simplicial volume of hyperbolic manifolds with geodesic boundary  Roberto Frigerio 
2011  Fionntan  Roukema  Dehn surgery on the minimally twisted fivechain link  Bruno Martelli and Carlo Petronio 
2011  Isaia  Nisoli  A general approach to LehmannSuwaKhanedani index theorems: partial holomorphic connections and extensions of foliations  Marco Abate 
2010  Tiziano  Casavecchia  Rigidity of holomorphic generators of oneparameter semigroups and a nonautonomous DenjoyWolff theorem  Marco Abate 
2010  Ana  Garcia Lecuona  On the sliceribbon conjecture for Montesinos knots  Paolo Lisca 
2010  Francesca  Mori  Minimality of hyperplane arrangements and configuration spaces: a combinatorial approach  Mario Salvetti 
2010  Jasmin  Raissy  Geometrical methods in the normalization of germs of biholomorphisms  Marco Abate 
2009  Kartoué Mady  Demdah  Théorèmes de hcobordisme et de scobordisme semialgébriques  Fabrizio Broglia and Michel Coste 
2004  Gennaro  Amendola  Minimal spines and skeleta of nonorientable 3manifolds and bricks  Carlo Petronio 
2003  Simona  Settepanella  Cohomologies of generalized pure braid groups and Milnor fibre of reflection arrangements  Mario Salvetti 
2000  Claudia  Landi  Cohomology rings of Artin groups  Mario Salvetti 
1999  Silvia  Benvenuti  Hops algebras and invariants of combed and framed 3manifolds  Riccardo Benedetti 
1995  Francesco  Zucconi  Su alcune questioni relative alla applicazione canonica composta con un fascio di grado 3  Fabrizio M. E. Catanese 
1993  Gianfranco  Casnati  Rivestimenti ramificati di Gorenstein  Fabrizio M. E. Catanese 
1993  Marco  Franciosi  Immersioni di superficie razionali  Fabrizio M. E. Catanese 
1993  Francesca  Tovena  Alcune applicazioni geometriche della teoria dei fibrati stabili  Fabrizio M. E. Catanese 
1992  Domenico  Luminati  Immersions of surfaces and apparent contours  Riccardo Benedetti 
1991  Sandro  Manfredini  Geometria delle applicazioni polinomiali complesse in una variabile  Fabrizio M. E. Catanese 
1987  Francesco  Capocasa  Teoria delle funzioni meromorfe sui quasitori  Fabrizio M. E. Catanese 
awarded by another institution
Year  Name  Surname  Title of the Thesis  Institution  Supervisor(s) 

2023  Matteo  Migliorini  BestvinaBrady Morse theory on hyperbolic manifolds  SNS, Pisa  Bruno Martelli 
2023  Diego  Santoro  Lspaces and taut foliations on 3manifolds  SNS, Pisa  Paolo Lisca and Bruno Martelli 
2023  Nicholas  Rungi  PseudoKähler geometry of Hitchin representations and convex projective structures  SISSA, Trieste  Andrea Tamburelli 
2020  Edoardo  Fossati  Symplectic fillings of virtually overtwisted contact structures on lens spaces  SNS, Pisa  Paolo Lisca 
2020  Giulio  Belletti  Asymptotic behavior of quantum invariants  SNS, Pisa  Francesco Costantino and Bruno Martelli 
2019  Roberto  Pagaria  Cohomology and Combinatorics of Toric Arrangements  SNS, Pisa  Filippo Gianluca Callegaro 
2017  Carlo  Collari  Transverse and concordance invariants from Khovanov sl(2) and sl(3) homologies  Università degli Studi di Firenze  Paolo Lisca 
2016  Daniele  Celoria  Grid homology in lens spaces  Università degli Studi di Firenze  Paolo Lisca 
2015  Paolo  Aceto  Rational homology cobordisms of plumbed manifolds and arborescent link concordance  Università degli Studi di Firenze  Paolo Lisca 
2014  Leone  Slavich  Hyperbolic 4manifolds and 24cells  Università degli Studi di Firenze  Bruno Martelli 
2013  Valentina  Disarlo  Combinatorial methods in Teichmüller theory  SNS, Pisa  Athanase Papadopoulos and Carlo Petronio 
2012  Michele  Tocchet  Generalized Momstructures and volume estimates for hyperbolic 3manifolds with geodesic boundary and toric cusps  Sapienza Università di Roma  Ekaterina Pervova and Carlo Petronio 
2011  Matteo  Ruggiero  The valuative tree, rigid germs and Kato varieties  SNS, Pisa  Marco Abate 
2011  Vito  Sasso  Complexity of unitrivalent graphpairs and knots in 3manifolds  Università degli Studi di Roma Tor Vergata  Ekaterina Pervova and Carlo Petronio 
2010  Maria Antonietta  Pascali  Branched covers between surfaces  Sapienza Università di Roma  Carlo Petronio 
2007  Daniele  Alessandrini  SNS, Pisa  Riccardo Benedetti  
2005  Roberto  Frigerio  Deforming triangulations of hyperbolic 3manifolds with geodesic boundary  SNS, Pisa  Carlo Petronio 
2005  Francesco  Bonsante  Deforming the Minkowskian cone of a closed hyperbolic manifold  SNS, Pisa  Riccardo Benedetti 
2004  Paolo  Ghiggini  Classification of Tight Contact Structures on Some Seifert Manifolds  SNS, Pisa  Paolo Lisca 
2004  Francesco  Costantino  Shadows and branched shadows of 3 and 4manifolds  SNS, Pisa  Riccardo Benedetti 
2004  Stefano  Francaviglia  Hyperbolicity equations for cusped 3manifolds and volumerigidity of representations  SNS, Pisa  Carlo Petronio 
2002  Bruno  Martelli  Complexity of threemanifolds  Università degli Studi di Firenze  Carlo Petronio 
1995  Carlo  Petronio  Standard spines and 3manifolds  SNS, Pisa  Riccardo Benedetti 
1995  Marco  Manetti  Degenerations of Algebraic Surfaces and applications to Moduli problems  SNS, Pisa  Fabrizio M. E. Catanese 
1992  Alessio  Corti  Families of Del Pezzo Surfaces  University of Utah  Fabrizio M. E. Catanese and János Kollár 
1990  Rita  Pardini  SNS, Pisa  Fabrizio M. E. Catanese 
Grants
Current

Dipartimento di Eccellenza 20232027 (Progetto Ministeriale Nazionale)
Coordinator of the Research Unit: Matteo Novaga
Project period: Jan 01, 2023 – Dec 31, 2027

Yangians and Cohomological Hall algebras of curves (JSPS GrantinAid for Scientific Research (C))
Principal Investigator: Francesco Sala
Project period: Apr 01, 2021 – Mar 31, 2026

Geometry and topology of manifolds (Prin 2022)
Principal Investigator: Bruno Martelli
Project period: Sep 28, 2023 – Sep 27, 2025

Algebraic and geometric aspects of Lie theory (Prin 2022)
Principal Investigator: Alberto De Sole
Coordinator of the Research Unit: Mario Salvetti
Project period: Sep 28, 2023 – Sep 27, 2025

ALgebraic and TOPological combinatorics (ALTOP) (Prin 2022)
Principal Investigator: Luca Moci
Coordinator of the Research Unit: Michele D'Adderio
Project period: Sep 28, 2023 – Sep 27, 2025

Geometry of algebraic structures: moduli, invariants, deformations (Prin 2022)
Principal Investigator: Ugo Bruzzo
Coordinator of the Research Unit: Rita Pardini
Project period: Sep 28, 2023 – Sep 27, 2025

Spazi di moduli, rappresentazioni e strutture combinatorie (Progetti di Ricerca di Ateneo (PRA) 20222023)
Principal Investigator: Davide Lombardo
Project period: Oct 10, 2022 – Dec 31, 2024

Quantum Structures and Enumerative Geometry (MIT  Italy Università di Pisa Seed Fund)
Principal Investigator: Francesco Sala
Project period: May 01, 2023 – Dec 31, 2024
Past

Geometric Limits in Higher Teichmüller Theory (NSF Standard grant )
Principal Investigator: Andrea Tamburelli
Project period: Jun 15, 2020 – May 31, 2024

Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics (Prin 2017)
Principal Investigator: Filippo Bracci
Coordinator of the Research Unit: Paolo Lisca
Project period: Aug 01, 2019 – Aug 19, 2023

Advanced in Moduli Theory and Birational Classification (Prin 2017)
Principal Investigator: Lucia Caporaso
Coordinator of the Research Unit: Rita Pardini
Project period: Aug 01, 2019 – Feb 19, 2023

Moduli and Lie Theory (Prin 2017)
Principal Investigator: Kieran G. O'Grady
Coordinator of the Research Unit: Mario Salvetti
Project period: Aug 01, 2019 – Feb 19, 2023

Spazi di moduli, geometria aritmetica e aspetti storici (Progetti di Ricerca di Ateneo (PRA) 2020  2021)
Principal Investigator: Mattia Talpo
Project period: Jul 07, 2020 – Dec 31, 2022

Sistemi dinamici in logica, geometria, fisica matematica e scienza delle costruzioni (Progetti di Ricerca di Ateneo (PRA) 2020  2021)
Principal Investigator: Giacomo Tommei
Project period: Jul 07, 2020 – Dec 31, 2022

Spazi di moduli, rappresentazioni e strutture combinatorie (Progetti di Ricerca di Ateneo (PRA) 2018  2019)
Principal Investigator: Rita Pardini
Project period: Aug 09, 2018 – Dec 31, 2020

Geometria e topologia delle varietà (Progetti di Ricerca di Ateneo (PRA) 2018  2020)
Principal Investigator: Bruno Martelli
Project period: Jul 09, 2018 – Jul 08, 2020

Sistemi dinamici in analisi, geometria, logica e meccanica celeste (Progetti di Ricerca di Ateneo (PRA) 2017  2018)
Principal Investigator: Marco Abate
Project period: Apr 10, 2017 – Apr 09, 2019
Visitors
Prospective
First Name  Last Name  Affiliation 

Stephen  Caughlan  Mary Immaculate College 
Sönke  Rollenske  PhilippsUniversität Marburg 
Current
there is no data
Grouped by year
2024
First Name  Last Name  Affiliation  From  To 

Paolo  Aceto  Université de Lille  Jun 07, 2024  Jun 15, 2024 
Antonio  Alfieri  Université du Quebec à Montréal (UQAM)  Jun 08, 2024  Jun 11, 2024 
Kenneth L.  Baker  University of Miami  Aug 01, 2023  Jul 31, 2024 
Keegan  Boyle  University of British Columbia  Mar 20, 2024  Mar 25, 2024 
Michael  Brandenbursky  Ben Gurion University of the Negev  Apr 10, 2024  Apr 13, 2024 
Stephen  Caughlan  Mary Immaculate College  Sep 01, 2024  Sep 06, 2024 
Ciro  Ciliberto  Università degli Studi di Roma Tor Vergata  Apr 16, 2024  Apr 19, 2024 
Alessio  D'Alì  Politecnico di Milano  Mar 26, 2024  Mar 28, 2024 
Emanuele  Delucchi  Scuola Universitaria Professionale della Svizzera Italiana (SUPSI)  Jan 09, 2024  Jan 12, 2024 
Emanuele  Delucchi  Scuola Universitaria Professionale della Svizzera Italiana (SUPSI)  Jul 02, 2024  Jul 05, 2024 
Barbara  Fantechi  SISSA, Trieste  Mar 11, 2024  Mar 15, 2024 
Domenico  Fiorenza  Sapienza Università di Roma  May 16, 2024  May 17, 2024 
Sam  Fisher  University of Oxford  Jun 19, 2024  Jun 21, 2024 
Concettina  Galati  Università della Calabria  Mar 11, 2024  Mar 15, 2024 
Marco  Golla  Université de Nantes  Apr 14, 2024  Apr 16, 2024 
Christopher  Hacon  University of Utah  Feb 17, 2024  Feb 24, 2024 
Yan Mary  He  University of Oklahoma  Jun 03, 2024  Jun 14, 2024 
David  Holmes  Leiden University  Apr 23, 2024  Apr 25, 2024 
Diego  Izquierdo  École Polytechnique  May 12, 2024  May 15, 2024 
Ariyan  Javanpeykar  Radboud University Nijmegen  Mar 18, 2024  Mar 21, 2024 
Bruno  Klingler  HumboldtUniversität zu Berlin  May 07, 2024  May 10, 2024 
Qiangru  Kuang  SISSA, Trieste  May 13, 2024  May 17, 2024 
Marc  Levine  Universität DuisburgEssen  Feb 18, 2024  Feb 20, 2024 
Clara  Loeh  Universität Regensburg  Mar 19, 2024  Mar 21, 2024 
Samuele  Mongodi  Università degli Studi di MilanoBicocca  May 19, 2024  May 26, 2024 
Andrei  Neguţ  Massachusetts Institute of Technology (MIT)  May 08, 2024  May 12, 2024 
Giovanni  Paolini  Università di Bologna  Jul 02, 2024  Jul 04, 2024 
JungHwan  Park  Korea Advanced Institute of Science & Technology (KAIST)  Jun 07, 2024  Jun 14, 2024 
Roberto  Pignatelli  Università degli Studi di Trento  Apr 02, 2024  Apr 06, 2024 
Sönke  Rollenske  PhilippsUniversität Marburg  Sep 01, 2024  Sep 06, 2024 
Diego  Santoro  Universität Wien  Mar 17, 2024  Mar 22, 2024 
Luca  Schaffler  Università degli Studi Roma Tre  Apr 02, 2024  Apr 06, 2024 
Romeo  Segnan Dalmasso  Università degli Studi di MilanoBicocca  May 22, 2024  May 24, 2024 
Tanushree  Shah  Universität Wien  Mar 26, 2024  Mar 28, 2024 
Peter  Smillie  Universität Heidelberg  May 09, 2024  May 10, 2024 
Luis  ÁlvarezCónsul  Instituto de Ciencias Matematicas (ICMAT)  Jul 08, 2024  Jul 18, 2024 
2023
First Name  Last Name  Affiliation  From  To 

Universität zu Köln  Dec 11, 2023  Dec 13, 2023  
Paolo  Aceto  Université de Lille  Sep 03, 2023  Sep 06, 2023 
Antonio  Alfieri  Université du Quebec à Montréal (UQAM)  Apr 01, 2023  Apr 13, 2023 
Giuseppe  Ancona  Université de Strasbourg  Feb 22, 2023  Feb 24, 2023 
Younghan  Bae  ETH Zürich  Dec 05, 2023  Dec 07, 2023 
Valentina  Bais  SISSA, Trieste  Nov 21, 2023  Nov 23, 2023 
Kenneth L.  Baker  University of Miami  Aug 01, 2023  Jul 31, 2024 
Bruno  Benedetti  University of Miami  May 31, 2023  May 31, 2023 
Patrick  Brosnan  University of Maryland  Jun 05, 2023  Jun 30, 2023 
Margot  Bruneaux  Université Claude Bernard Lyon 1  Nov 06, 2023  Nov 10, 2023 
Dylan  Butson  University of Oxford  Nov 14, 2023  Nov 18, 2023 
Léo  Bénard  GeorgAugustUniversität Göttingen  Apr 18, 2023  Apr 24, 2023 
Luigi  Caputi  Università di Torino  Jun 26, 2023  Jul 01, 2023 
Francesca  Carocci  Université de Genève  Nov 21, 2023  Nov 23, 2023 
Cinzia  Casagrande  Università di Torino  Mar 22, 2023  Mar 22, 2023 
Nicola  Cavallucci  Karlsruher Institut für Technologie (KIT)  Sep 04, 2023  Sep 06, 2023 
Corrado  De Concini  Sapienza Università di Roma  Mar 24, 2023  Mar 25, 2023 
Marco  De Renzi  Université de Montpellier  Dec 20, 2023  Dec 22, 2023 
Emanuele  Delucchi  Scuola Universitaria Professionale della Svizzera Italiana (SUPSI)  Jan 12, 2023  Jan 22, 2023 
Emanuele  Delucchi  Scuola Universitaria Professionale della Svizzera Italiana (SUPSI)  Jun 20, 2023  Jun 24, 2023 
Donatella  Donatelli  Università degli Studi dell'Aquila  Sep 03, 2023  Sep 09, 2023 
Charles  Doran  Bard College  Jun 16, 2023  Jun 18, 2023 
Bruno  Drieux  École Polytechnique  Apr 03, 2023  Jul 21, 2023 
Federica  Fanoni  CNRS  Sep 03, 2023  Sep 06, 2023 
Alejandro  Gil Garcìa  Universität Hamburg  May 10, 2023  May 15, 2023 
Viola  Giovannini  University of Luxembourg  Mar 17, 2023  Mar 21, 2023 
Souvnik  Goswami  Universitat Autònoma de Barcelona  Jul 08, 2023  Jul 15, 2023 
Souvnik  Goswami  Universitat Autònoma de Barcelona  Oct 24, 2023  Oct 26, 2023 
Lars  Halle  Università di Bologna  Mar 28, 2023  Mar 29, 2023 
Leo  Herr  Leiden University  Nov 14, 2023  Nov 17, 2023 
Hyeonhee  Jin  MaxPlanckInstitut für Mathematik  Bonn  Feb 12, 2023  Feb 15, 2023 
Qiangru  Kuang  SISSA, Trieste  Apr 16, 2023  Apr 21, 2023 
Lukas  Lewark  Universität Regensburg  Feb 26, 2023  Mar 03, 2023 
Claudio  Llosa Inserich  Karlsruher Institut für Technologie (KIT)  May 02, 2023  May 04, 2023 
Andrew  Lobb  Durham University  May 31, 2023  Jun 02, 2023 
Oliviero  Malech  SISSA, Trieste  Nov 14, 2023  Nov 16, 2023 
Mirko  Mauri  IST Austria  Jun 07, 2023  Jun 08, 2023 
Enrica  Mazzon  Universität Regensburg  Jun 07, 2023  Jun 08, 2023 
Sergej  Monavari  École Polytechnique Fédérale de Lausanne (EPFL)  Nov 07, 2023  Nov 09, 2023 
Marco  Moraschini  Università di Bologna  Sep 03, 2023  Sep 05, 2023 
Christopher  Nicol  École Polytechnique  Mar 20, 2023  Jul 28, 2023 
Leonardo  Patimo  AlbertLudwigsUniversität Freiburg  Apr 13, 2023  Apr 13, 2023 
Bram  Petri  Sorbonne Université  Mar 29, 2023  Mar 31, 2023 
Mauro  Porta  Université de Strasbourg  Apr 02, 2023  Apr 16, 2023 
Arunima  Ray  MaxPlanckInstitut für Mathematik  Bonn  Jun 07, 2023  Jun 09, 2023 
Jules  Ribolzi  École Normale Supérieure de Lyon  May 02, 2023  Aug 02, 2023 
Luca  Schaffler  Università degli Studi Roma Tre  Jun 26, 2023  Jun 30, 2023 
Olivier  Schiffmann  CNRS, Université de ParisSaclay  Apr 01, 2023  May 01, 2023 
Jakob  Scholbach  Università di Padova  Nov 15, 2023  Nov 16, 2023 
Alessandro  Sisto  HeriotWatt University  Feb 28, 2023  Mar 03, 2023 
Vera  Vertési  Universität Wien  Oct 19, 2023  Oct 21, 2023 
Gabriele  Viaggi  Universität Heidelberg  May 17, 2023  May 18, 2023 
Campbell  Wheeler  MaxPlanckInstitut für Mathematik  Bonn  Mar 27, 2023  Mar 29, 2023 
Thomas  Wiehe  Universität zu Köln  Dec 11, 2023  Dec 13, 2023 
Raphael  Zentner  Durham University  Apr 12, 2023  Apr 14, 2023 
Refik  İnanç Baykur  University of Massachusetts, Amherst  May 10, 2023  May 12, 2023 
2022
First Name  Last Name  Affiliation  From  To 

Federico  Binda  Università degli Studi di Milano (La Statale)  Nov 16, 2022  Nov 17, 2022 
Sam  DeHority  Columbia University  Oct 04, 2022  Oct 08, 2022 
Jerónimo  García Mejía  Karlsruher Institut für Technologie (KIT)  Oct 04, 2022  Oct 04, 2022 
Philippe  Gille  Université Claude Bernard Lyon 1  Oct 24, 2022  Oct 30, 2022 
Antonella  Grassi  Università di Bologna  Nov 29, 2022  Dec 01, 2022 
Adam  Gyenge  Budapest University of Technology and Economics  Oct 19, 2022  Oct 21, 2022 
David  Harari  Université de ParisSaclay  Nov 07, 2022  Nov 12, 2022 
James  Lewis  University of Alberta  Nov 26, 2022  Dec 05, 2022 
Agnese  Mantione  Universität Münster  Nov 22, 2022  Dec 22, 2022 
Mauro  Porta  Université de Strasbourg  May 07, 2022  Jun 08, 2022 
Andrea Tobia  Ricolfi  SISSA, Trieste  Nov 23, 2022  Nov 23, 2022 
Bernd  Siebert  University of Texas at Austin  Jul 05, 2022  Jul 07, 2022 
Richard  Thomas  Imperial College London  Jul 05, 2022  Jul 07, 2022 
Rodolfo  Verenucci  Università degli Studi di Milano (La Statale)  Nov 16, 2022  Nov 17, 2022 
Alberto  Vezzani  Università degli Studi di Milano (La Statale)  Nov 16, 2022  Nov 17, 2022 