The scientific activities of the group are focused on different aspects of Algebraic and Arithmetic Geometry, Complex and Differential Geometry, Combinatorics, 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 geometry
Members:
 Luca Bruni
 Marco Franciosi
 Matthias Leopold Nickel
 Rita Pardini
 Gregory James Pearlstein
 Mattia Pirani
 Francesco Sala
 Tamás Szamuely
 Mattia Talpo
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:
 Mattia Pirani
 Tamás Szamuely
Collaborators:
 Philippe Gille (Lyon)
 David Harari (Orsay)
 Damian Rössler (Oxford)
Moduli stacks, cohomological Hall algebras, and quantum groups
Quantum groups encode the ‘hidden symmetries’ of quantum physics via integrability and the geometric approach to them has been successful in 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).
The group aims at investigating quantum groups via their geometric incarnations in terms of Hall algebras and their refined versions (cohomological, Ktheoretical, categorified) associated to moduli stacks of coherent sheaves on curves or surfaces.
Members:
 Luca Bruni
 Francesco Sala
Collaborators:
 DuiliuEmanuel Diaconescu (Rutgers University)
 Andrei Neguţ (MIT)
 Mauro Porta (Université de Strasbourg)
 Olivier Schiffmann (Université de ParisSaclay)
 Éric Vasserot (Université Paris Cité)
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)
Member:
 Mattia Talpo
Collaborators:
 Sarah Scherotzke (Luxembourg)
 Nicolò Sibilla (SISSA)
 Bernd Siebert (Austin)
 Richard Thomas (Imperial)
 Martin Ulirsch (Frankfurt)
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:
 Marco Franciosi
 Matthias Leopold Nickel
 Rita Pardini
 Gregory James Pearlstein
Collaborators:
 Sönke Rollenske (Univ. Marburg, Germany)
 Stephen Coughlan (Univ. Bayreuth, Germany)
 Julie Rana (Lawrence University, USA)
 Barbara Fantechi (SISSA, Italy)
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.
Member:
 Filippo Disanto
Collaborators:
 Michael Fuchs (Taipei)
 Noah Rosenberg (Stanford)
 Thomas Wiehe (Koeln)
Geometric topology
Members:
 Giuseppe Bargagnati
 Riccardo Benedetti
 Federica Bertolotti
 Filippo Bianchi
 Filippo Gianluca Callegaro
 Pietro Capovilla
 Jacopo Guoyi Chen
 Carlo Collari
 Michele D'Adderio
 Roberto Frigerio
 Giovanni Gaiffi
 Viola Giovannini
 Giovanni Italiano
 Paolo Lisca
 Domenico Marasco
 Bruno Martelli
 Alice Merz
 Matteo Migliorini
 Francesco Milizia
 Andrea Parma
 Carlo Petronio
 Mario Salvetti
 Diego Santoro
 Viola Siconolfi
 Andrea Tamburelli
 Lorenzo Venturello
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.
Member:
 Andrea Tamburelli
Collaborators:
 John Loftin (Newark)
 Charles Ouyang (Amherst)
 Michael Wolf (Georgia Tech)
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:
 Jacopo Guoyi Chen
 Roberto Frigerio
 Viola Giovannini
 Giovanni Italiano
 Bruno Martelli
 Matteo Migliorini
 Carlo Petronio
 Diego Santoro
Collaborators:
Leone Slavich (Università di Pavia)
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:
 Filippo Gianluca Callegaro
 Michele D'Adderio
 Giovanni Gaiffi
 Mario Salvetti
 Viola Siconolfi
 Lorenzo Venturello
Collaborators:
 Emanuele Delucchi (SUPSI, Switzerland)
 Giovanni Paolini (Amazon Web Services lab at Caltech)
 Roberto Pagaria (Università di Bologna)
 Oscar Papini (Isti CNR, Pisa)
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:
 Filippo Bianchi
 Carlo Collari
 Paolo Lisca
 Bruno Martelli
 Alice Merz
 Andrea Parma
 Carlo Petronio
 Diego Santoro
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:
 Giuseppe Bargagnati
 Federica Bertolotti
 Pietro Capovilla
 Roberto Frigerio
 Domenico Marasco
 Bruno Martelli
 Francesco Milizia
Collaborators:
 Michelle Bucher (Université de Genève)
 Clara Loeh (Regensburg University)
 Marco Moraschini (Università di Bologna)
 Maria Beatrice Pozzetti (Heidelberg University)
 Roman Sauer (Karlsruhe University)
 Alessandro Sisto (HeriotWatt University, Edinburgh)
Holomorphic dynamical systems, complex differential geometry, and geometric function theory
The group focuses on different aspects of complex and differential geometry from both an analytical and a geometric viewpoint.
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.
Members:
 Marco Abate
 Matteo Fiacchi
Collaborators:
 Fabrizio Bianchi (Laboratoire Paul Painlevé, Lille, CNRS, France)
 Jasmin Raissy (Université de Bordeaux, France)
 Karim Rakhimov (Laboratoire Paul Painlevé, Lille, CNRS, France; Tashkent University, Uzbekistan)
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:
 Marco Abate
 Matteo Fiacchi
Collaborators:
 Fabrizio Bianchi (Laboratoire Paul Painlevé, Lille, CNRS, France)
 Jasmin Raissy (Université de Bordeaux, France)
 Karim Rakhimov (Laboratoire Paul Painlevé, Lille, CNRS, France; Tashkent University, Uzbekistan)
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 KahlerFinsler 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.
Member:
 Marco Abate
Members
Staff
Name  Surname  Links  Personal Card 

Marco  Abate  [Google Scholar] [Mathscinet] [Orcid]  
Filippo Gianluca  Callegaro  [Google Scholar] [Mathscinet] [Orcid]  
Diego  Conti  [Mathscinet] [Orcid]  
Filippo  Disanto  [Mathscinet]  
Marco  Franciosi  [Google Scholar] [Mathscinet] [Orcid]  
Roberto  Frigerio  [Google Scholar] [Mathscinet]  
Paolo  Lisca  [arXiv] [Google Scholar] [Mathscinet] [Orcid]  
Sandro  Manfredini  [Mathscinet]  
Bruno  Martelli  [Google Scholar] [Mathscinet] [Orcid]  
Rita  Pardini  [arXiv] [Google Scholar] [Mathscinet] [Orcid]  
Gregory James  Pearlstein  [Mathscinet] [Orcid]  
Ekaterina  Pervova  [Google Scholar] [Mathscinet] [Orcid]  
Carlo  Petronio  [Google Scholar] [Mathscinet]  
Francesco  Sala  [arXiv] [Google Scholar] [Mathscinet] [Orcid]  
Mario  Salvetti  [Mathscinet] [Orcid]  
Tamás  Szamuely  [Google Scholar] [Mathscinet] [Orcid]  
Mattia  Talpo  [Google Scholar] [Mathscinet] [Orcid]  
Andrea  Tamburelli  [Google Scholar] [Mathscinet] [Orcid]  
Lorenzo  Venturello  [Google Scholar] [Mathscinet] [Orcid] 
Postdoctoral Fellows
Name  Surname  Links  Personal Card 

Carlo  Collari  [Mathscinet] [Orcid]  
Matteo  Fiacchi  [Mathscinet]  
Matthias Leopold  Nickel  [Google Scholar] [Mathscinet]  
Viola  Siconolfi  [Mathscinet] [Orcid] 
Ph.D. Students
Name  Surname  Links  Personal Card 

Giuseppe  Bargagnati  [Mathscinet]  
Filippo  Bianchi  
Viola  Giovannini  
Domenico  Marasco  
Alice  Merz  
Andrea  Parma  
Mattia  Pirani 
Ph.D. Students at Scuola Normale Superiore cosupervised by members of the group
Name  Surname  Links 

Federica  Bertolotti  
Luca  Bruni  
Pietro  Capovilla  
Jacopo Guoyi  Chen  
Giovanni  Italiano  
Matteo  Migliorini  
Francesco  Milizia  
Diego  Santoro 
Past Ph.D. Students
2022
 Ludovico Battista (Università di Pisa), “Hyperbolic 4manifolds, perfect circlevalued Morse functions and infinitesimal rigidity”, supervised by Bruno Martelli.
2021
 Federico Conti (Università di Pisa), “Surfaces close to the Severi lines”, supervised by Rita Pardini.
 Leonardo Ferrari (Università di Pisa), “Hyperbolic manifolds and coloured polytopes”, supervised by Bruno Martelli.
 Chiara Spagnoli (Università di Pisa), “The eventual map for irregular varieties”, supervised by Rita Pardini.
2020
 Giulio Belletti (Scuola Normale Superiore di Pisa), “Asymptotic behavior of quantum invariants”, supervised by Francesco Costantino and Bruno Martelli.
 Karim Rakhimov (Università di Pisa), “Dynamics of geodesics for meromorphic connections on Riemann surfaces”, supervised by Marco Abate.
2018
 Kirill Kuzmin (Università di Pisa), “QuasiIsometric Rigidity for Universal Covers of Manifolds with a Geometric Decomposition”, supervised by Roberto Frigerio.
 Marco Moraschini (Università di Pisa), “On Gromov’s theory of multicomplexes: the original approach to bounded cohomology and simplicial volume”. supervised by Roberto Frigerio.
2017
 Stefano Riolo (Università di Pisa), “Conemanifolds and hyperbolic surgeries”, supervised by Bruno Martelli.
2016
 Fabrizio Bianchi (Università di Pisa and Université de Toulouse III Paul Sabatier), “Motion of Julia sets and dynamical stability in several complex variables”, supervised by Marco Abate.
 Alessio Carrega (Università di Pisa), “Shadows and Quantum Invariants”, supervised by Bruno Martelli.
 Federico Franceschini (Università di Pisa), “Simplicial volume and relative bounded cohomology”, supervised by Roberto Frigerio.
2014
 Leone Slavich (Università di Firenze), “Hyperbolic 4manifolds and 24cells”, supervised by Bruno Martelli.
2013
 Valentina Disarlo (Scuola Normale Superiore di Pisa), “Combinatorial methods in Teichmüller theory”, supervised by Athanase Papadopoulos and Carlo Petronio.
 Mattia Pedrini (SISSA – Trieste), “Moduli spaces of framed sheaves on stacky ALE spaces, deformed partition functions and the AGT conjecture”, supervised by Ugo Bruzzo and Francesco Sala.
2012
 Cristina Pagliantini (Università di Pisa), “Relative (continuous) bounded cohomology and simplicial volume of hyperbolic manifolds with geodesic boundary”, supervised by Roberto Frigerio.
 Michele Tocchet (Sapienza Università di Roma), “Generalized Momstructures and volume estimates for hyperbolic 3manifolds with geodesic boundary and toric cusps”, supervised by Katya Pervova and Carlo Petronio.
2011
 Isaia Nisoli (Università di Pisa), “A general approach to LehmannSuwaKhanedani index theorems: partial holomorphic connections and extensions of foliations”, supervised by Marco Abate.
 Fionntan Roukema (Università di Pisa), “Dehn Surgery on the Minimally Twisted FiveChain Link”, supervised by Bruno Martelli and Carlo Petronio.
 Matteo Ruggiero (Scuola Normale Superiore di Pisa), “The valuative tree, rigid germs and Kato varieties”, supervised by Marco Abate.
 Vito Sasso (Università di Roma Tor Vergata), “Complexity of unitrivalent graphpairs and knots in 3manifolds”, supervised by Katya Pervova and Carlo Petronio.
2010
 Tiziano Casavecchia (Università di Pisa), “Rigidity of holomorphic generators of oneparameter semigroups and a nonautonomous DenjoyWolff theorem”, supervised by Marco Abate.
 Maria Antonietta Pascali (Sapienza Università di Roma), “Branched covers between surfaces”, supervised by Carlo Petronio.
 Jasmin Raissy (Università di Pisa), “Geometrical methods in the normalization of germs of biholomorphisms”, supervised by Marco Abate.
2007
 Daniele Alessandrini (Scuola Normale Superiore di Pisa), supervised by Riccardo Benedetti.
2005
 Francesco Bonsante (Scuola Normale Superiore di Pisa), “Deforming the Minkowskian cone of a closed hyperbolic manifold”, supervised by Riccardo Benedetti.
 Roberto Frigerio (Scuola Normale Superiore di Pisa), “Deforming triangulations of hyperbolic 3manifolds with geodesic boundary”, supervised by Carlo Petronio.
2004
 Gennaro Amendola (Università di Pisa), “Minimal spines and skeleta of nonorientable 3manifolds and bricks”, supervised by Carlo Petronio.
 Francesco Costantino (Scuola Normale Superiore di Pisa), “Shadows and branched shadows of 3 and 4manifolds”, supervised by Riccardo Benedetti.
 Stefano Francaviglia (Scuola Normale Superiore di Pisa), “Hyperbolicity equations for cusped 3manifolds and volumerigidity of representations”, supervised by Carlo Petronio.
2002
 Bruno Martelli (Università di Firenze), “Complexity of threemanifolds”, supervised by Carlo Petronio.
1999
 Silvia Benvenuti (Università di Pisa), supervised by Riccardo Benedetti.
1995
 Carlo Petronio (Scuola Normale Superiore di Pisa), “Standard spines and 3manifolds”, supervised by Riccardo Benedetti.
1992
 Domenico Luminati (Università di Pisa), “Immersions of surfaces and apparent contours”, supervised by Riccardo Benedetti.
External Collaborators
Name  Surname  Links  Personal Card 

Francesca  Acquistapace  [Mathscinet]  
Riccardo  Benedetti  [Google Scholar] [Mathscinet]  
Fabrizio  Broglia  [Mathscinet]  
Elisabetta  Fortuna 
Grants
Current

GrantinAid for Scientific Research (C): Yangians and Cohomological Hall algebras of curves (KAKENHI JSPS)
Principal Investigator: Francesco Sala
Project period: 01/04/2021  31/03/2026

Advanced in Moduli Theory and Birational Classification (Prin 2017)
Principal Investigator: Lucia Caporaso (Università di Roma 3)  Coordinator of the Research Unit: Rita Pardini
Members of the Research Unit: Marco Franciosi, Enrico Sbarra, Tamás Szamuely, Mattia Talpo
Project period: 01/08/2019  19/02/2023

Moduli and Lie Theory (Prin 2017)
Principal Investigator: Kieran G. O'grady  Coordinator of the Research Unit: Mario Salvetti
Project period: 01/08/2019  19/02/2023

Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics (Prin 2017)
Principal Investigator: Filippo Bracci (Università di Roma Tor Vergata)  Coordinator of the Research Unit: Paolo Lisca
Members of the Research Unit: Marco Abate, Giuseppe Bargagnati, Filippo Bianchi, Carlo Collari, Roberto Frigerio, Paolo Lisca, Domenico Marasco, Bruno Martelli, Alice Merz, Andrea Parma, Carlo Petronio, Andrea Tamburelli
Project period: 01/08/2019  19/02/2023

Sistemi dinamici in logica, geometria, fisica matematica e scienza delle costruzioni (Progetti di Ricerca di Ateneo (PRA) 2020  2021)
Coordinator of the Research Unit: Giacomo Tommei
Members of the Research Unit: Marco Abate, Riccardo Barsotti, Giulio Baù, Alessandro Berarducci, Gianluigi Del Magno, Mauro Di Nasso, Giovanni Federico Gronchi, Stefano Marò, Giacomo Lari, Daniele Serra, David Antonio Riccardo Mustaro
Project period: 07/07/2020  31/12/2022

Spazi di moduli, geometria aritmetica e aspetti storici (Progetti di Ricerca di Ateneo (PRA) 2020  2021)
Coordinator of the Research Unit: Mattia Talpo
Members of the Research Unit: Andrea Bandini, Alberto Cogliati, Valerio Melani, Francesco Sala, Tamás Szamuely
Project period: 07/07/2020  31/12/2022
Past

Spazi di moduli, rappresentazioni e strutture combinatorie (Progetti di Ricerca di Ateneo (PRA) 2018  2019)
Coordinator of the Research Unit: Rita Pardini
Members of the Research Unit: Ilaria Del Corso, Marco Franciosi, Giovanni Gaiffi, Andrea Maffei, Enrico Sbarra
Project period: 09/08/2018  31/12/2020

Sistemi dinamici in analisi, geometria, logica e meccanica celeste (Progetti di Ricerca di Ateneo (PRA) 2017  2018)
Coordinator of the Research Unit: Marco Abate
Members of the Research Unit: Marco Abate, Claudio Bonanno, Mauro Di Nasso, Stefano Galatolo, Alessandro Berarducci, Giovanni Federico Gronchi, Carlo Carminati, Giacomo Tommei
Project period: 10/04/2017  09/04/2019
Visitors
Current
there is no data
Past
2022
First Name  Last Name  Affiliation  From  To 

Sam  DeHority  Columbia University  Oct 04, 2022  Oct 08, 2022 
Mauro  Porta  Université de Strasbourg  May 07, 2022  Jun 08, 2022 