{"id":1849,"date":"2025-04-16T14:15:31","date_gmt":"2025-04-16T12:15:31","guid":{"rendered":"https:\/\/www.dm.unipi.it\/phd\/?page_id=1849"},"modified":"2025-10-17T09:23:13","modified_gmt":"2025-10-17T07:23:13","slug":"ph-d-courses-2025-2026","status":"publish","type":"page","link":"https:\/\/www.dm.unipi.it\/phd\/ph-d-courses\/ph-d-courses-2025-2026\/","title":{"rendered":"Ph.D. Courses 2025 &#8211; 2026"},"content":{"rendered":"  <div id=dm-manager-widget-69d0c9e6b4fb1><\/div>\n  <script>\n    (function () {\n      const el = document.getElementById(\"dm-manager-widget-69d0c9e6b4fb1\");\n      const props = {\"widget\":\"CourseList\",\"from\":\"2025-09-01\",\"to\":\"2026-07-31\",\"phd\":\"Matematica\"}\n      dmwidgets.loadComponent(el, \"CourseList\", props);\n    })();\n  <\/script>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">List of advanced MSc courses offered<\/h4>\n\n\n\n<div class=\"wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js\" data-initially-open=\"false\" data-click-to-close=\"true\" data-auto-close=\"true\" data-scroll=\"false\" data-scroll-offset=\"0\"><h4 id=\"at-18490\" class=\"c-accordion__title js-accordion-controller\" role=\"button\">Fall\/Winter Term<\/h4><div id=\"ac-18490\" class=\"c-accordion__content\">\n<table id=\"tablepress-1\" class=\"tablepress tablepress-id-1\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">English Course Title (Italian Course Title)<\/th><th class=\"column-2\">Code<\/th><th class=\"column-3\">Sector<\/th><th class=\"column-4\">CFU\/ECTS<\/th><th class=\"column-5\">Teachers<\/th><th class=\"column-6\">Language<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">Algebraic combinatorics (Combinatoria algebrica)<\/td><td class=\"column-2\">797AA<\/td><td class=\"column-3\">MAT\/02<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Michele D\u2019Adderio<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">Functional analysis (Complementi di analisi funzionale)<\/td><td class=\"column-2\">099AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Pietro Majer<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">Fundamentals of mathematical physics (Istituzioni di fisica matematica)<\/td><td class=\"column-2\">774AA<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Giovanni Federico Gronchi, Giulio Ba\u00f9<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Galois groups and fundamental groups (Gruppi di Galois e gruppi fondamentali)<\/td><td class=\"column-2\">0052A<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Tamas Szamuely<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1425\" \/><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">Harmonic analysis (Analisi armonica)<\/td><td class=\"column-2\">090AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Jacopo Bellazzini<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">Holomorphic dynamics (Dinamica olomorfa)<\/td><td class=\"column-2\">106AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Fabrizio Bianchi<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">Hyeprbolic dynamics (Dinamica iperbolica)<\/td><td class=\"column-2\">105AA<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Gianluigi Del Magno<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">Hyperbolic geometry (Geometria iperbolica)<\/td><td class=\"column-2\">125AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Andrea Tamburelli<\/td><td class=\"column-6\"><\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">Mathematical aspetcs in quantum computing (Aspetti matematici nella computazione quantistica)<\/td><td class=\"column-2\">796AA<\/td><td class=\"column-3\">MAT\/06, MAT\/08<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Paola Boito, Dario Trevisan<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">Numerical methods for inverse problems (Metodi numerici per problemi inversi)<\/td><td class=\"column-2\">0055A<\/td><td class=\"column-3\">MAT\/08<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Silvia Gazzola<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">Principles of algebra (Istituzioni di algebra)<\/td><td class=\"column-2\">769AA<\/td><td class=\"column-3\">MAT\/02<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Davide Lombardo<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-1\">Principles of mathematical analysis (Istituzioni di analisi matematica)<\/td><td class=\"column-2\">770AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Bozhidar Velichkov<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td class=\"column-1\">Principles of mathematics education (Istituzioni di didattica della matematica)<\/td><td class=\"column-2\">771AA<\/td><td class=\"column-3\">MAT\/04<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Anna Baccaglini-Frank, Giulia Lisarelli<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1429\" \/><\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td class=\"column-1\">Randomized algorithms for numerical linear algebra (Metodi probabilistici per l\u2019algebra lineare numerica)<\/td><td class=\"column-2\">0061A<\/td><td class=\"column-3\">MAT\/08<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Federico Poloni, Alice Cortinovis<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-16\">\n\t<td class=\"column-1\">Representation theory A (Teoria delle rappresentazioni A)<\/td><td class=\"column-2\">0023A<\/td><td class=\"column-3\">MAT\/02, MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Francesco Sala<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-17\">\n\t<td class=\"column-1\">Riemannian geometry (Geometria riemanniana)<\/td><td class=\"column-2\">130AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Diego Conti<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-1 from cache -->\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js\" data-initially-open=\"false\" data-click-to-close=\"true\" data-auto-close=\"true\" data-scroll=\"false\" data-scroll-offset=\"0\"><h4 id=\"at-18491\" class=\"c-accordion__title js-accordion-controller\" role=\"button\">Winter\/Spring Terms<\/h4><div id=\"ac-18491\" class=\"c-accordion__content\">\n<table id=\"tablepress-2\" class=\"tablepress tablepress-id-2\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">English Course Title (Italian Course Title)<\/th><th class=\"column-2\">Code<\/th><th class=\"column-3\">Sector<\/th><th class=\"column-4\">CFU\/ECTS<\/th><th class=\"column-5\">Teachers<\/th><th class=\"column-6\">Language<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">Advanced mechanics (Meccanica superiore)<\/td><td class=\"column-2\">145AA<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Paolo Giulietti, Claudio Bonanno<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">Algebraic topology A (Topologia algebrica A)<\/td><td class=\"column-2\">777AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Filippo Gianluca Callegaro, Mario Salvetti<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">Elements of Calculus in homogeneous groups (Elementi di calcolo in gruppi omogenei)<\/td><td class=\"column-2\">514AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Valentino Magnani<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Category theory (Teoria delle categorie)<\/td><td class=\"column-2\">220AA<\/td><td class=\"column-3\">MAT\/01<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Andrea Di Lorenzo, Mattia Talpo<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">Complements of rational mechanics (Complementi di meccanica razionale)<\/td><td class=\"column-2\">0049A<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Ettore Minguzzi<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">Complex algebraic geometry (Geometria algebrica complessa)<\/td><td class=\"column-2\">0050A<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Sandro Manfredini<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1429\" \/><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">Complex differential geometry (Geometria differenziale complessa)<\/td><td class=\"column-2\">123AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Gregory J. Pearlstein<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1425\" \/><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">Data Analysis (Analisi dei dati)<\/td><td class=\"column-2\">699AA<\/td><td class=\"column-3\">MAT\/06<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Marco Romito, Aikaterini Papagiannouli<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1425\" \/><\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">Didactics of mathematics and new technologies (Didattica della matematica e nuove tecnologie)<\/td><td class=\"column-2\">528AA<\/td><td class=\"column-3\">MAT\/04<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Mirko Maracci<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">Dynamics of the solar system (Dinamica del sistema solare)<\/td><td class=\"column-2\">580AA<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Giacomo Lari, Giulio Ba\u00f9<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">Game theory (Teoria dei giochi)<\/td><td class=\"column-2\">211AA<\/td><td class=\"column-3\">MAT\/09<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Giancarlo Bigi<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-1\">Higher algebra A (Algebra superiore A)<\/td><td class=\"column-2\">087AA<\/td><td class=\"column-3\">MAT\/02<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Enrico Sbarra<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td class=\"column-1\">Higher analysis A (Analisi superiore A)<\/td><td class=\"column-2\">798AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Bozhidar Velichkov<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td class=\"column-1\">Higher analysis B (Analisi superiore B)<\/td><td class=\"column-2\">799AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Aldo Pratelli<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-16\">\n\t<td class=\"column-1\">Low-dimensional topology and geometry (Topologia e geometria in bassa dimensione)<\/td><td class=\"column-2\">228AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Paolo Lisca<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-17\">\n\t<td class=\"column-1\">Math Physics (Fisica matematica)<\/td><td class=\"column-2\">111AA<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Claudio Bonanno<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-18\">\n\t<td class=\"column-1\">Mathematical methods of quantum mechanics (Metodi matematici della meccanica quantistica)<\/td><td class=\"column-2\">0053A<\/td><td class=\"column-3\">MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Chiara Boccato<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-19\">\n\t<td class=\"column-1\">Mathematical models in biomedicine and mathematical physics (Modelli matematici in biomedicina e fisica matematica)<\/td><td class=\"column-2\">559AA<\/td><td class=\"column-3\">MAT\/05<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Cyrill Muratov<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1425\" \/><\/td>\n<\/tr>\n<tr class=\"row-20\">\n\t<td class=\"column-1\">Numerical methods for optimal control (Metodi numerici per il controllo ottimo)<\/td><td class=\"column-2\">0059A<\/td><td class=\"column-3\">MAT\/08<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Luca Heltai<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-21\">\n\t<td class=\"column-1\">Principles of geometry (Istituzioni di geometria)<\/td><td class=\"column-2\">768AA<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Bruno Martelli<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1429\" \/><\/td>\n<\/tr>\n<tr class=\"row-22\">\n\t<td class=\"column-1\">Principles of numerical analysis (Istituzioni di analisi numerica)<\/td><td class=\"column-2\">772AA<\/td><td class=\"column-3\">MAT\/08<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">Fabio Durastante, Paola Boito<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-23\">\n\t<td class=\"column-1\">Principles of probability (Istituzioni di probabilit\u00e0)<\/td><td class=\"column-2\">773AA<\/td><td class=\"column-3\">MAT\/06<\/td><td class=\"column-4\">11<\/td><td class=\"column-5\">tbd, Mario Maurelli<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-24\">\n\t<td class=\"column-1\">Random dynamical systems (Sistemi dinamici aleatori)<\/td><td class=\"column-2\">0062A<\/td><td class=\"column-3\">MAT\/06, MAT\/07<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Gianluigi Del Magno, Stefano Galatolo<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-25\">\n\t<td class=\"column-1\">Riemann surfaces and algebraic curves (Superfici di Riemann e curve algebriche)<\/td><td class=\"column-2\">0064A<\/td><td class=\"column-3\">MAT\/03<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Marco Franciosi, Rita Pardini<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<tr class=\"row-26\">\n\t<td class=\"column-1\">Tensor numerical methods (Metodi numerici per il calcolo tensoriale)<\/td><td class=\"column-2\">0060A<\/td><td class=\"column-3\">MAT\/08<\/td><td class=\"column-4\">6<\/td><td class=\"column-5\">Leonardo Robol, Stefano Massei<\/td><td class=\"column-6\"><img decoding=\"async\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\" width=\"32\" height=\"24\" class=\"alignnone size-full wp-image-1427\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-2 from cache -->\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>List of advanced MSc courses offered&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/phd\/ph-d-courses\/ph-d-courses-2025-2026\/\">Read 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