# Geometry

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:

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
marco.franciosi@unipi.it
Rita Pardini
rita.pardini@unipi.it
Gregory James Pearlstein
greg.pearlstein@unipi.it
Francesco Sala
francesco.sala@unipi.it
Tamás Szamuely
tamas.szamuely@unipi.it
Mattia Talpo
mattia.talpo@unipi.it

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
Tamás Szamuely
tamas.szamuely@unipi.it
Philippe Gille
David Harari
Damian Rössler
##### 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
Luca Bruni
Francesco Sala
francesco.sala@unipi.it
###### Collaborators
Duiliu-Emanuel Diaconescu
Andrei Negut
Eric Vasserot
##### 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
Mattia Talpo
mattia.talpo@unipi.it
Sarah Scherotzke
Nicolò Sibilla
Bernd Siebert
Richard Thomas
Martin Ulirsch
##### 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
Marco Franciosi
marco.franciosi@unipi.it
Rita Pardini
rita.pardini@unipi.it
Gregory James Pearlstein
greg.pearlstein@unipi.it
###### Collaborators
Stephen Coughlan
Barbara Fantechi
Matthias Leopold Nickel
matthias.nickel@dm.unipi.it
Julie F. Rana
Sönke Rollenske
##### 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
Filippo Disanto
filippo.disanto@unipi.it
###### Collaborators
Michael Fuchs
Noah A. Rosenberg
Thomas Wiehe
##### Geometric topology
###### Members
Giuseppe Bargagnati
giuseppe.bargagnati@phd.unipi.it
Riccardo Benedetti
riccardobenedetti53@gmail.com
Federica Bertolotti
Filippo Gianluca Callegaro
filippo.callegaro@unipi.it
Pietro Capovilla
Jacopo Guoyi Chen
Roberto Frigerio
roberto.frigerio@unipi.it
Giovanni Gaiffi
giovanni.gaiffi@unipi.it
Giovanni Italiano
Paolo Lisca
paolo.lisca@unipi.it
Bruno Martelli
bruno.martelli@unipi.it
Matteo Migliorini
Francesco Milizia
Carlo Petronio
carlo.petronio@unipi.it
Mario Salvetti
mario.salvetti@unipi.it
Diego Santoro
Andrea Tamburelli
andrea.tamburelli@unipi.it
Lorenzo Venturello
lorenzo.venturello@unipi.it

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
Andrea Tamburelli
andrea.tamburelli@unipi.it
John Loftin
Charles Ouyang
Michael Wolf
##### 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
Jacopo Guoyi Chen
Roberto Frigerio
roberto.frigerio@unipi.it
Giovanni Italiano
Bruno Martelli
bruno.martelli@unipi.it
Matteo Migliorini
Carlo Petronio
carlo.petronio@unipi.it
Diego Santoro
Leone Slavich
##### 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
Filippo Gianluca Callegaro
filippo.callegaro@unipi.it
Giovanni Gaiffi
giovanni.gaiffi@unipi.it
Mario Salvetti
mario.salvetti@unipi.it
Lorenzo Venturello
lorenzo.venturello@unipi.it
###### Collaborators
Emanuele Delucchi
Roberto Pagaria
roberto.pagaria@unibo.it
Giovanni Paolini
Oscar Papini
Viola Siconolfi
viola.siconolfi@dm.unipi.it
##### 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
Paolo Lisca
paolo.lisca@unipi.it
Bruno Martelli
bruno.martelli@unipi.it
Carlo Petronio
carlo.petronio@unipi.it
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 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
Giuseppe Bargagnati
giuseppe.bargagnati@phd.unipi.it
Federica Bertolotti
Pietro Capovilla
Roberto Frigerio
roberto.frigerio@unipi.it
Bruno Martelli
bruno.martelli@unipi.it
Francesco Milizia
###### Collaborators
Michelle Bucher
Clara Loeh
Marco Moraschini
Maria Beatrice Pozzetti
Roman Sauer
Alessandro Sisto
##### Complex and differential geometry

The group focuses on different aspects of complex and differential geometry from both an analytical and a geometric viewpoint.

###### Members
Marco Abate
marco.abate@unipi.it
Diego Conti
diego.conti@unipi.it

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
Marco Abate
marco.abate@unipi.it
##### 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
Diego Conti
diego.conti@unipi.it
Romeo Segnan Dalmasso
r.segnandalmasso@surrey.ac.uk
##### 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
marco.abate@unipi.it
Fabrizio Bianchi
Jasmin Raissy
Karim Rakhimov
##### 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.
###### Members
Marco Abate
marco.abate@unipi.it
Fabrizio Bianchi
Jasmin Raissy
Karim Rakhimov

#### People

##### Faculty
Name Surname Email Personal Card
Marco Abate
Filippo Gianluca Callegaro
Diego Conti
Filippo Disanto
Marco Franciosi
Roberto Frigerio
Paolo Lisca
Sandro Manfredini
Bruno Martelli
Rita Pardini
Gregory James Pearlstein
Ekaterina Pervova
Carlo Petronio
Francesco Sala
Mario Salvetti
Tamás Szamuely
Mattia Talpo
Andrea Tamburelli
Lorenzo Venturello
##### Affiliate Members
Name Surname Email Personal Card
Francesca Acquistapace
Riccardo Benedetti
Fabrizio Broglia
Elisabetta Fortuna
##### Postdoctoral Fellows
Name Surname Email Personal Card
Carlo Collari
##### Ph.D. Students at the University of Pisa
Name Surname Email Personal Card
Giuseppe Bargagnati
Filippo Bianchi
Giovanni Framba
Viola Giovannini
Domenico Marasco
Alice Merz
Andrea Parma
Mattia Pirani
##### Ph.D. Students at other institutions
Name Surname Affiliation Email
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
Matteo Migliorini SNS, Pisa
Francesco Milizia SNS, Pisa
Nicholas Rungi SISSA, Trieste
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)
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
1992 Domenico Luminati Immersions of surfaces and apparent contours Riccardo Benedetti
##### awarded by another institution
Year Name Surname Title of the Thesis Institution Supervisor(s)
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 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

#### Grants

• ##### 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

• ##### 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

• ##### 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)

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
Antonio Alfieri Universitè du Quebec Montréal
Kenneth L. Baker University of Miami
Wheeler Campbell Max-Planck-Institut für Mathematik - Bonn
Bruno Drieux École Polytechnique
Alejandro Gil Garcìa Universität Hamburg
Lars Halle Università di Bologna
Bram Petri Sorbonne Université
Mauro Porta Université de Strasbourg
Olivier Schiffmann CNRS and Université de Paris-Saclay
##### Current
First Name Last Name Affiliation Building Floor Office
Christopher Nicol École Polytechnique Building A 1 302
##### Grouped by year
###### 2023
First Name Last Name Affiliation From To
Antonio Alfieri Universitè du Quebec Montréal Apr 01, 2023 Apr 13, 2023
Giuseppe Ancona Université de Strasbourg Feb 22, 2023 Feb 24, 2023
Kenneth L. Baker University of Miami Aug 01, 2023 Jul 31, 2024
Wheeler Campbell Max-Planck-Institut für Mathematik - Bonn Mar 27, 2023 Mar 29, 2023
Cinzia Casagrande Università di Torino Mar 22, 2023 Mar 22, 2023
Corrado De Concini Sapienza Università di Roma Mar 24, 2023 Mar 25, 2023
Emanuele Delucchi SUPSI Jan 12, 2023 Jan 22, 2023
Bruno Drieux École Polytechnique Apr 03, 2023 Jul 21, 2023
Alejandro Gil Garcìa Universität Hamburg May 10, 2023 May 15, 2023
Viola Giovannini Universitè du Luxembourg Mar 17, 2023 Mar 21, 2023
Lars Halle Università di Bologna Mar 28, 2023 Mar 29, 2023
Hyeonhee Jin Max-Planck-Institut für Mathematik - Bonn Feb 12, 2023 Feb 15, 2023
Lukas Lewark Universitat Regensburg Feb 26, 2023 Mar 03, 2023
Christopher Nicol École Polytechnique Mar 20, 2023 Jul 28, 2023
Bram Petri Sorbonne Université Mar 29, 2023 Mar 31, 2023
Mauro Porta Université de Strasbourg Apr 01, 2023 May 01, 2023
Olivier Schiffmann CNRS and Université de Paris-Saclay Apr 01, 2023 May 01, 2023
Alessandro Sisto Heriot-Watt University Feb 28, 2023 Mar 03, 2023
###### 2022
First Name Last Name Affiliation From To
Federico Binda Università di Milano Statale Nov 16, 2022 Nov 17, 2022
Sam DeHority Columbia University Oct 04, 2022 Oct 08, 2022
Jerónimo García Mejía KIT Karlsruher Institut für Technologie Oct 04, 2022 Oct 04, 2022
Philippe Gille Université Claude Bernard, Lyon 1 Oct 24, 2022 Oct 30, 2022
Antonella Grassi Università degli Studi 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 Universität Münster Nov 22, 2022 Dec 22, 2022
Mauro Porta Université de Strasbourg May 07, 2022 Jun 08, 2022
Andrea Tobia Ricolfi SISSA 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 di Milano Statale Nov 16, 2022 Nov 17, 2022
Alberto Vezzani Università di Milano Statale Nov 16, 2022 Nov 17, 2022