{"id":147598,"date":"2025-05-12T14:02:52","date_gmt":"2025-05-12T14:02:52","guid":{"rendered":"https:\/\/www.unipi.it\/ateneo\/organizzazione\/persone\/roberto-frigerio-2647-en\/"},"modified":"2026-04-01T04:40:03","modified_gmt":"2026-04-01T02:40:03","slug":"roberto-frigerio-2647-en","status":"publish","type":"unipi_persone","link":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/roberto-frigerio-2647-en\/","title":{"rendered":"Roberto Frigerio"},"content":{"rendered":"<p>Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213561 &#8211; Email: roberto.frigerio@unipi.it<\/p>\n","protected":false},"template":"","meta":{"unipi-persone-chiave":"2647","unipi-persone-nome":"Roberto","unipi-persone-cognome":"Frigerio","unipi-persone-email":"roberto.frigerio@unipi.it","unipi-persone-cv":"Posizioni e titoli.<br \/>\r\n<br \/>\r\n2000: Laurea in Matematica (Universita' di Pisa), 110\/110 e Lode.<br \/>\r\n<br \/>\r\n2001: Diploma della Scuola Normale Superiore, 70\/70 e Lode.<br \/>\r\n<br \/>\r\n2003-ottobre 2005: Assegno di ricerca, Dipartimento di Matematica di Pisa.<br \/>\r\n<br \/>\r\n2005: Diploma di perfezionamento in Matematica (equipollente al titolo di dottore di ricerca in Matematica), Scuola Normale Superiore di Pisa, 70\/70 e Lode.<br \/>\r\n<br \/>\r\n2005: Ricercatore a tempo determinato, Scuola Normale Superiore di Pisa.<br \/>\r\n<br \/>\r\n2006: Ricercatore universitario nel settore MAT\/03 - Geometria, Universita' di Pisa. <br \/>\r\n<br \/>\r\n2014: Professore di seconda fascia nel settore MAT\/03 - Geometria, Universit\u00e0 di Pisa.<br \/>\r\n<br \/>\r\n2018: Professore di prima fascia nel settore MAT\/03 - Geometria, Universit\u00e0 di Pisa.<br \/>\r\n<br \/>\r\nAlcune conferenze e seminari<br \/>\r\n<br \/>\r\n2003: ``Dehn filling of cusped hyperbolic 3-manifolds with geodesic boundary'', Universita' di Melbourne.<br \/>\r\n<br \/>\r\n2011: ``Rigidity of manifolds with(out) non positive curvature', Universit\u00e0 di Oxford.<br \/>\r\n<br \/>\r\n2012: ''Simplicial volume and stable complexity of manifolds'', Mittag-Leffler Institut.<br \/>\r\n<br \/>\r\n2017: \"Combinatorial volume forms and bounded cohomology\", workshop ``Group actions and cohomology in non-positive curvature'', Isaac Newton Centre for Mathematical Sciences, Cambridge (UK).<br \/>\r\n<br \/>\r\n2019: \"Gromov's original approach to bounded cohomology\", ETH, Zurigo.<br \/>\r\n<br \/>\r\n2025 \"Cup products in bounded cohomology of hyperbolic manifolds\", conference \u201cHyperbolic Manifolds, Their Submanifolds and Fundamental Groups\u201d at IMPA, Rio de Janeiro.<br \/>\r\n<br \/>\r\nIncarichi <br \/>\r\n<br \/>\r\n2015-2018: Vicepresidente del Consiglio di corso di laurea e laurea magistrale in Matematica.<br \/>\r\n<br \/>\r\n2016-19: Membro del Presidio della Qualit\u00e0 di Ateneo dell'Universit\u00e0 di Pisa.<br \/>\r\n<br \/>\r\nDa ottobre 2019: membro del comitato editoriale del Bollettino dell'Unione Matematica Italiana.<br \/>\r\n<br \/>\r\n2019-2022: vicecoordinatore della Scuola di Dottorato in Matematica dell'Universit\u00e0 di Pisa.<br \/>\r\n<br \/>\r\n2020\/22 Vicecoordinatore del GEV 1 per la VQR 2015-2019.<br \/>\r\n<br \/>\r\n2022-oggi: Coordinatore della Scuola di Dottorato in Matematica dell\u2019Universit`a di Pisa.<br \/>\r\n<br \/>\r\n2023-oggi: Membro della Commissione di Coordinamento per l\u2019attuazione del progetto di Dipartimento di Eccellenza.<br \/>\r\n<br \/>\r\nOrganizzazione di convegni<br \/>\r\n<br \/>\r\n2007: ``Braids and their ramifications'', tenutosi a Cortona.<br \/>\r\n<br \/>\r\n2014: Intensive 4-week period on ``Teichmuller theory and surfaces in 3-manifolds'', Centro De Giorgi, Pisa.<br \/>\r\n<br \/>\r\n2015: ``Manifolds and groups'', Ventotene (LT).<br \/>\r\n<br \/>\r\n2017: ``Moduli spaces'', Ventotene (LT).<br \/>\r\n<br \/>\r\n2019:  ``Of coarse! Quasi-isometries and groups: rigidity and classification'', Ventotene (LT).<br \/>\r\n<br \/>\r\n2021: ``Counting problems'', Ventotene (LT).<br \/>\r\n<br \/>\r\n2023: Presidente del Comitato Organizzatore del XXII Congresso dell'Unione Matematica Italiana, Pisa.<br \/>\r\n<br \/>\r\n2023: \u201cGRAZP: Groups and Rigidity around the Zimmer Program\u201d, Ventotene (LT).<br \/>\r\n<br \/>\r\n2025: \u201cHigher dimensional hyperbolic geometry\u201d, Ventotene (LT).<br \/>\r\n<br \/>\r\n<br \/>\r\nTesi di dottorato:<br \/>\r\n<br \/>\r\n2012: Cristina Pagliantini, \"Relative (continuous) bounded cohomology and simplicial volume of hyperbolic manifolds with geodesic boundary\".<br \/>\r\n<br \/>\r\n2016: Federico Franceschini, \"Simplicial volume and relative bounded cohomology\".<br \/>\r\n<br \/>\r\n2018: Kirill Kuzmin, \"Quasi-Isometric Rigidity for Universal Covers of Manifolds with a Geometric Decomposition\".<br \/>\r\n<br \/>\r\n2018: Marco Moraschini, \"On Gromov's theory of multicomplexes: the original approach to bounded cohomology and simplicial volume\" (tesi premiata dall'Universit\u00e0 di Pisa quale migliore tesi di dottorato 2018 nelle seguenti aree: Scienze Matematiche, Informatiche, Fisiche e Scienze della Terra).<br \/>\r\n<br \/>\r\n2023: Domenico Marasco, \"Efficient cycles for H2 \u00d7 H2 and products in bounded cohomology\".<br \/>\r\n<br \/>\r\n2024: Giuseppe Bargagnati, \"The simplicial volume of open manifolds\".<br \/>\r\n<br \/>\r\n2025: Federica Bertolotti, \"Filling Volumes and Simplicial Volume of Mapping Tori\".<br \/>\r\n<br \/>\r\n2025: Francesco Milizia, \"Weakly bounded cohomology classes and simplicial volume of Davis\u2019 aspherical manifolds\".<br \/>\r\n<br \/>\r\nTesi di Laurea Triennale: 61<br \/>\r\n<br \/>\r\nTesi di Laurea Magistrale o specialistica: 19","unipi-persone-link-esterno-cv":"https:\/\/people.dm.unipi.it\/frigerio\/files\/engl_curr_frigerio.pdf","unipi-persone-modalita-ricevimento":"","unipi-persone-luogo-ricevimento":"","unipi-persone-ore-ricevimento":"","unipi-persone-telefono":"050 2213561","unipi-persone-sitoweb":"http:\/\/www.dm.unipi.it\/~frigerio\/","unipi-persone-cariche":"<ul><li>Coordinatore del Dottorato di Ricerca - Matematica<\/li><\/ul>","unipi-persone-link-orario-lezioni":"https:\/\/unipi.prod.up.cineca.it\/calendarioPubblico\/matricola=010601","unipi-persone-link-registro-lezioni":"https:\/\/unimap.unipi.it\/registri\/registri.php?ri=010601&tmplt=principale.tpl","unipi-persone-settore-scientifico":"Geometria MATH-02\/B","unipi-persone-ruolo":"Professore Ordinario","unipi-persone-arpi":"https:\/\/arpi.unipi.it\/cris\/rp\/rp14401","unipi-persone-pubblicazioni":"<ul class=\"pubblicazioni-list\"><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1357133\" target=\"_blank\" rel=\"noopener noreferrer\">Integral filling volume, complexity, and integral simplicial volume of 3-dimensional mapping tori<\/a> <span class=\"pub-details\">(Bertolotti, F.; Frigerio, R. - 2026 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1278087\" target=\"_blank\" rel=\"noopener noreferrer\">Efficient cycles of hyperbolic manifolds<\/a> <span class=\"pub-details\">(Frigerio, Roberto; Grammatica, Ennio; Martelli, Bruno - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1251287\" target=\"_blank\" rel=\"noopener noreferrer\">Length functions on mapping class groups and simplicial volumes of mapping tori<\/a> <span class=\"pub-details\">(Bertolotti, Federica; Frigerio, Roberto - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1202948\" target=\"_blank\" rel=\"noopener noreferrer\">Central extensions and bounded cohomology<\/a> <span class=\"pub-details\">(Frigerio, Roberto; Sisto, Alessandro - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1048752\" target=\"_blank\" rel=\"noopener noreferrer\">Gromov\u2019s theory of multicomplexes with applications to bounded cohomology and simplicial volume<\/a> <span class=\"pub-details\">(Frigerio, Roberto; Moraschini, Marco - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1157681\" target=\"_blank\" rel=\"noopener noreferrer\">The simplicial volume of contractible 3-manifolds<\/a> <span class=\"pub-details\">(Bargagnati, G.; Frigerio, R. - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1048754\" target=\"_blank\" rel=\"noopener noreferrer\">Amenable covers and l^1-invisibility<\/a> <span class=\"pub-details\">(Frigerio, Roberto - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1048758\" target=\"_blank\" rel=\"noopener noreferrer\">A remark on the double complex of a covering for singular cohomology<\/a> <span class=\"pub-details\">(Frigerio, Roberto; Maffei, Andrea - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/960819\" target=\"_blank\" rel=\"noopener noreferrer\">Ideal Simplicial Volume of Manifolds with Boundary<\/a> <span class=\"pub-details\">(Frigerio, Roberto; Marco, Moraschini - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/976068\" target=\"_blank\" rel=\"noopener noreferrer\">The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups<\/a> <span class=\"pub-details\">(Franceschini, Federico; Frigerio, Roberto; Pozzetti, Maria Beatrice; Sisto, Alessandro - 2019 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/947193\" target=\"_blank\" rel=\"noopener noreferrer\">On volumes of truncated tetrahedra with constrained edge lengths<\/a> <span class=\"pub-details\">(Frigerio, R.; Moraschini, Marco - 2019 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/829539\" target=\"_blank\" rel=\"noopener noreferrer\">Quasi-isometric Rigidity of Piecewise Geometric Manifolds<\/a> <span class=\"pub-details\">(Frigerio, Roberto - 2018 - 2.1 Contributo in volume (Capitolo o Saggio))<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/890646\" target=\"_blank\" rel=\"noopener noreferrer\">Bounded Cohomology of Discrete Groups<\/a> <span class=\"pub-details\">(Frigerio, R. - 2017 - 3.1 Monografia o trattato scientifico)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/760724\" target=\"_blank\" rel=\"noopener noreferrer\">A quantitative version of a theorem by Jungreis<\/a> <span class=\"pub-details\">(Bucher, M.; Frigerio, Roberto; Pagliantini, C. - 2017 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/830009\" target=\"_blank\" rel=\"noopener noreferrer\">Projective Geometry: solved problems and theory review.<\/a> <span class=\"pub-details\">(Fortuna, Elisabetta; Frigerio, Roberto; Pardini, Rita - 2016 - 3.1 Monografia o trattato scientifico)<\/span><\/li><\/ul>","unipi-persone-didattica":"<ul class=\"registri-list\"><li>Geometria 2 (cod. 511AA) per Laurea in Matematica<br\/><strong>Insegnamenti condivisi\/mutuati:<\/strong><ul class=\"registri-shared\"><li>Geometria 2 (cod. 511AA) - Laurea Magistrale in Matematica<\/li><\/ul><\/li><li>Analisi matematica i (cod. 004AA) per Laurea in Ingegneria aerospaziale<\/li><\/ul>","unipi-persone-codocenze":"","unipi-persone-interessi-ricerca":"","_wpml_word_count":"14","_last_translation_edit_mode":"translation-editor","_elementor_page_assets":[]},"organizzazioni":[3710],"class_list":["post-147598","unipi_persone","type-unipi_persone","status-publish","hentry","organizzazioni-dipartimento-di-matematica-529999-en"],"email":"roberto.frigerio@unipi.it","telefono":"050 2213561","content_plain":"Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213561 &#8211; Email: roberto.frigerio@unipi.it","photo_url":null,"ruoli_tags":[{"id":748,"name":"PO","slug":"po"}],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Roberto Frigerio ~ UNIPI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/roberto-frigerio-2647-en\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Roberto Frigerio ~ UNIPI\" \/>\n<meta property=\"og:description\" content=\"Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213561 &#8211; Email: roberto.frigerio@unipi.it\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/roberto-frigerio-2647-en\/\" \/>\n<meta property=\"og:site_name\" content=\"UNIPI\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/unipisaofficial\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-04-01T02:40:03+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/about-us\\\/organisation\\\/people\\\/roberto-frigerio-2647-en\\\/\",\"url\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/about-us\\\/organisation\\\/people\\\/roberto-frigerio-2647-en\\\/\",\"name\":\"Roberto Frigerio ~ UNIPI\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#website\"},\"datePublished\":\"2025-05-12T14:02:52+00:00\",\"dateModified\":\"2026-04-01T02:40:03+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/about-us\\\/organisation\\\/people\\\/roberto-frigerio-2647-en\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.unipi.it\\\/en\\\/about-us\\\/organisation\\\/people\\\/roberto-frigerio-2647-en\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/about-us\\\/organisation\\\/people\\\/roberto-frigerio-2647-en\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/home\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Roberto Frigerio\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/\",\"name\":\"UNIPI\",\"description\":\"UNIPI\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#organization\",\"name\":\"UNIPI\",\"url\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.unipi.it\\\/wp-content\\\/uploads\\\/Raggruppa-3020.svg\",\"contentUrl\":\"https:\\\/\\\/www.unipi.it\\\/wp-content\\\/uploads\\\/Raggruppa-3020.svg\",\"width\":176,\"height\":64,\"caption\":\"UNIPI\"},\"image\":{\"@id\":\"https:\\\/\\\/www.unipi.it\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/unipisaofficial\\\/\",\"https:\\\/\\\/www.instagram.com\\\/unipisa\\\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Roberto Frigerio ~ UNIPI","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/roberto-frigerio-2647-en\/","og_locale":"en_US","og_type":"article","og_title":"Roberto Frigerio ~ UNIPI","og_description":"Professore Ordinario &#8211; 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