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
- local-global principles for rational points
Members
Collaborators
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 Maulik-Okounkov Yangians), the theory of moduli stacks and spaces (e.g. the proof of Beauville and Voisin’s conjectures of Maulik-Negut), and theoretical physics (e.g. the proof of the Alday-Gaiotto-Tachikawa conjecture).
The group aims at investigating quantum groups via their geometric incarnations in terms of Hall algebras and their refined versions (cohomological, K-theoretical, categorified) associated to moduli stacks of coherent sheaves on curves or surfaces.
Members
Collaborators and Ph.D. students at other institutions
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 non-Archimedean) geometry. Our activity focuses for example on
- the study of moduli spaces of parabolic bundles (some notion of coherent sheaf, adapted to log schemes)
- sheaf-counting 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. semi-log-canonical 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 log-canonical 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
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 Kähler-Finsler 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 self-map, proving a number of index theorems generalising to this setting classical Baum-Bott and Lehmann-Suwa 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 left-invariant metrics on a Lie group, and more precisely standard metrics on a solvable Lie algebra. In the pseudo-Riemannian 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 left-invariant metrics on Lie groups and by exploiting the well-posedness 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 self-maps of hyperbolic manifolds and domains, and more generally of non-expanding self-maps of Gromov hyperbolic metric spaces;
- the local dynamics around a non-hyperbolic 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 3-manifolds 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 3-manifolds are the focus of a vast literature concerning Teichmueller spaces and hyperbolic fillings of open manifolds. Moreover, the topology of hyperbolic 3-manifolds is a central topic in low-dimensional 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 so-called 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
Low-dimensional 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 2-orbifolds.
In dimension 3 some topics of interest for the group are the Heegaard-Floer homology of rational homology 3-spheres (with particular attention towards possible applications to the L-space conjecture) and the theory of knots and links in the sphere and in general 3-manifolds. A particular interest is devoted to Legendrian links, and to the study of Khovanov homology. 3-manifold topology is also involved in the study of apparent contours of surfaces in 3-space and in general 3-manifolds.
The topology of 4-manifolds 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 4-manifolds, Heegaard-Floer homology, and 3-dimensional knot theory from a 4-dimensional 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 3-manifolds 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 so-called 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 | |
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 | |
Lorenzo | Venturello | lorenzo.venturello@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 |
Ph.D. Students at the University of Pisa
Name | Surname | Personal Card | |
---|---|---|---|
Giuseppe | Bargagnati | giuseppe.bargagnati@phd.unipi.it | |
Filippo | Bianchi | filippo.bianchi@phd.unipi.it | |
Francesco | Conti | francesco.conti@phd.unipi.it | |
Giovanni | Framba | giovanni.framba@phd.unipi.it | |
Viola | Giovannini | v.giovannini1@studenti.unipi.it | |
Alice | Merz | alice.merz@phd.unipi.it | |
Mattia | Pirani | mattia.pirani@phd.unipi.it |
Ph.D. Students at other institutions
Name | Surname | Affiliation |
---|---|---|
Federica | Bertolotti | SNS, Pisa |
Luca | Bruni | SNS, Pisa |
Pietro | Capovilla | SNS, Pisa |
Jacopo Guoyi | Chen | SNS, Pisa |
Gemma | Di Petrillo | Università di Trento |
Alessio | Di Prisa | SNS, Pisa |
Giovanni | Italiano | SNS, Pisa |
Qiangru | Kuang | SISSA, Trieste |
Matteo | Migliorini | SNS, Pisa |
Francesco | Milizia | SNS, Pisa |
Diego | Santoro | SNS, Pisa |
Romeo | Segnan Dalmasso | University of Surrey |
Ph.D. Theses supervised by members of the group
awarded by the University of Pisa
Year | Name | Surname | Title of the Thesis | Supervisor(s) |
---|---|---|---|---|
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 4-manifolds, perfect circle-valued 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 | Quasi-isometric 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 | Cone-manifolds 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 | Isaia | Nisoli | A general approach to Lehmann-Suwa-Khanedani index theorems: partial holomorphic connections and extensions of foliations | Marco Abate |
2011 | Fionntan | Roukema | Dehn surgery on the minimally twisted five-chain link | Bruno Martelli and Carlo Petronio |
2010 | Tiziano | Casavecchia | Rigidity of holomorphic generators of one-parameter semigroups and a non-autonomous Denjoy-Wolff theorem | Marco Abate |
2010 | Ana | Lecuona | On the slice-ribbon 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 h-cobordisme et de s-cobordisme semi-algébriques | Fabrizio Broglia and Michel Coste |
2004 | Gennaro | Amendola | Minimal spines and skeleta of non-orientable 3-manifolds 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 3-manifolds | 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 quasi-tori | Fabrizio M. E. Catanese |
awarded by another institution
Year | Name | Surname | Title of the Thesis | Institution | Supervisor(s) |
---|---|---|---|---|---|
2023 | Nicholas | Rungi | Pseudo-Kähler geometry of Hitchin representations and convex projective structures | SISSA, Trieste | Andrea Tamburelli |
2020 | Giulio | Belletti | Asymptotic behavior of quantum invariants | SNS, Pisa | Bruno Martelli and Francesco Costantino |
2019 | Roberto | Pagaria | Cohomology and Combinatorics of Toric Arrangements | SNS, Pisa | Filippo Gianluca Callegaro |
2014 | Leone | Slavich | Hyperbolic 4-manifolds and 24-cells | Università degli Studi di Firenze | Bruno Martelli |
2013 | Valentina | Disarlo | Combinatorial methods in Teichmüller theory | SNS, Pisa | Carlo Petronio and Athanase Papadopoulos |
2012 | Michele | Tocchet | Generalized Mom-structures and volume estimates for hyperbolic 3-manifolds with geodesic boundary and toric cusps | Sapienza Università di Roma | Carlo Petronio and Ekaterina Pervova |
2011 | Matteo | Ruggiero | The valuative tree, rigid germs and Kato varieties | SNS, Pisa | Marco Abate |
2011 | Vito | Sasso | Complexity of unitrivalent graph-pairs and knots in 3-manifolds | Università degli Studi di Roma Tor Vergata | Carlo Petronio and Ekaterina Pervova |
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 3-manifolds with geodesic boundary | SNS, Pisa | Carlo Petronio |
2005 | Francesco | Bonsante | Deforming the Minkowskian cone of a closed hyperbolic manifold | SNS, Pisa | Riccardo Benedetti |
2004 | Francesco | Costantino | Shadows and branched shadows of 3 and 4-manifolds | SNS, Pisa | Riccardo Benedetti |
2004 | Stefano | Francaviglia | Hyperbolicity equations for cusped 3-manifolds and volume-rigidity of representations | SNS, Pisa | Carlo Petronio |
2002 | Bruno | Martelli | Complexity of three-manifolds | Università degli Studi di Firenze | Carlo Petronio |
1995 | Carlo | Petronio | Standard spines and 3-manifolds | 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 2023-2027 (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 Grant-in-Aid 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) 2022-2023)
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
-
Geometric Limits in Higher Teichmüller Theory (NSF Standard grant )
Principal Investigator: Andrea Tamburelli
Project period: Jun 15, 2020 – May 31, 2024
Past
-
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 |
---|---|---|
Marco | De Renzi | Université de Montpellier |
Thomas | Wiehe | Universität zu Köln |
Thomas | Wiehe | Universität zu Köln |
Current
First Name | Last Name | Affiliation | Building | Floor | Office |
---|---|---|---|---|---|
Younghan | Bae | ETH Zürich | |||
Kenneth L. | Baker | University of Miami | Building A | First floor | 317 |
Grouped by year
2023
First Name | Last Name | Affiliation | From | To |
---|---|---|---|---|
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 | Georg-August-Universität 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 | Max-Planck-Institut 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 | Albert-Ludwigs-Universität 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 | Max-Planck-Institut 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 Paris-Saclay | Apr 01, 2023 | May 01, 2023 |
Jakob | Scholbach | Università di Padova | Nov 15, 2023 | Nov 16, 2023 |
Alessandro | Sisto | Heriot-Watt 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 | Max-Planck-Institut für Mathematik - Bonn | Mar 27, 2023 | Mar 29, 2023 |
Thomas | Wiehe | Universität zu Köln | Dec 11, 2023 | Dec 13, 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 Paris-Saclay | Nov 07, 2022 | Nov 12, 2022 |
James | Lewis | University of Alberta | Nov 26, 2022 | Dec 05, 2022 |
Agnese | Mantione | Westfälische Wilhelms-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 |