Francesco Cattafi

— Wikipedian ♂ —
Nationality	Italian European
Country	Germany
Personality type	INTJ
Alignment	Lawful neutral
Education and employment
Occupation	Mathematician
Employer	Julius-Maximilians-Universität Würzburg
High school	Liceo scientifico
University	Università degli studi di Torino Universiteit Utrecht
Hobbies, interests, and beliefs
Hobbies	Current:Eurogames,Roleplaying games Past:Bridge,Piano,Strategic video games
Movies	Fantasy movies, especiallyHigh fantasy,Historical fantasy andContemporary fantasy Historical movies, especially those set duringAncient Age,Middle Ages,Renaissance Most of the production of specific directors/film studios, e.g.Christopher Nolan,Monty Python,Pixar andStudio Ghibli
Shows	Fantasy and fantastic series, e.g.Game of Thrones,Once Upon a Time andGood Omens Historical series, e.g.Rome,Knightfall,Medici andGenius Sci-fi series, e.g.Clone wars,Orphan Black andStranger things Dystopian series, e.g.3%,The 100 andWestworld "Weird/nonstandard" comedy series, e.g.The Big Bang theory andThe Good Place A few cartoons and anime, e.g.Death Note,DuckTales,Gargoyles,Little Pollon andPokémon
Books	Fantasy novels, e.g. byTerry Brooks,Terry Goodkind,David Eddings,Tracy Hickman-Margaret Weis,Robert Jordan,George R. R. Martin,J. K. Rowling,J. R. R. Tolkien,Marion Zimmer Bradley Historical novels, e.g. byAlessandro Barbero andValerio Massimo Manfredi Maths and science popularisation, e.g. byMario Livio,Gabriele Lolli [it],Piergiorgio Odifreddi,Bertrand Russell Weird/witty/unconventional writings, e.g. byDouglas Adams,Stefano Benni,Lewis Carrol,Italo Calvino,Walter Moers,Boris Vian,Voltaire
Contact info
Website	https://sites.google.com/view/francescocattafi/
Userboxes
This user is a participant in WikiProject Mathematics. Languages it Questo utente è dimadrelinguaitaliana. en-3 This user can contribute with anadvanced level ofEnglish. fr-2 Cet utilisateur peut contribuer avec un niveauintermédiaire enfrançais. nl-2 Deze gebruiker heeft eenmiddelmatige kennis van hetNederlands. de-2 Dieser Benutzer hatfortgeschritteneDeutschkenntnisse. Time UTC+1 UTC+2 This user has astandard time zone ofUTC+1, but he usesUTC+2 fromMarch to October. 33 This user is33 years old. This user isnocturnal. 6 April 2025 This user supportsInternational Date Format (day month year) Space This user is a citizen of the European Union. This user is a native ofItaly. This user has lived inItaly. This user has studied inItaly. This user has lived in the Netherlands. This user has worked in the Netherlands. This user has lived inBelgium. This user has worked inBelgium. This user has lived inAustria. This user has worked inAustria. This user currently lives inGermany. This user currently works inGermany. Academia BSc This user has aBachelor of Science degree inMathematics. MSc This user has aMaster of Science degree inMathematics. PhD This user has aDoctor of Philosophy degree inMathematics. ${\displaystyle e^{i\pi }}$ This user is amathematician. Erdős 5 This user has anErdős number of 5. This user has publishedpeer-reviewed articles inacademic journals. This user is an advocate ofopen research andopen access. Food/drinks This user loves Italian cuisine This user prefers True NeapolitanPizza. id2 This user lovespasta. This user cannot eatspicy food underANY CIRCUMSTANCES. Chocolate, ice cream, cake, cookies... This user likesalldesserts. This user drinkstap water regularly. This userdoesn't drink, and has a healthy liver to show for it. Games This user is aBoard Game Geek. This user likes to playRole-playing games. This user proudly owns aGame Boy Color. This user is aPokémon lover and proud of it! This user is an incorrigiblecruciverbalist. History and philosophy This user is interested inhistory. This user is interested inclassical mythology. This user is interested in ancient civilizations. This user is interested in theRenaissance period. This user is interested in thescientific revolution. This user is interested in theEnlightenment. This user is interested inphilosophy. This user thinks and therefore exists. ℚ This user employsrationality. Linguistics This user is interested in Romance languages. This user is interested in Germanic languages. ipa-1 ə This user has abasic understanding of theInternational Phonetic Alphabet. EE This user usesEuro English. Z This user calls itzed. Latin Plurals: "Datais are..." This user uses "data", "media", "memoranda", "criteria", and "agenda" as the plurals of "datum", "medium", "memorandum", "criterion", and "agendum". , This user supports the use of the Oxford comma. Majority ≠ right This user recognizes that even if 300,000,000 people make the same mistake, it's still a mistake. Various One can never have too many userboxes. ?met? This user prefersmetric units and cannot figure out why Americans and Brits have such a hard time with them. °C This user uses theCelsius scale, as he finds it superior in every way toFahrenheit. This user iscar-free.‡ This user is abicycle commuter. This user is aThingamabrarian.Click here to see my books. This user enjoys readingFantasy. This user enjoys readinghistorical fiction. This user ispenguin powered. This user usesLaTeX and admires its power. This user usesKile for editing inLaTeX. -5 This user is aprofessionalLaTeX user. This user couldn't care less aboutfootball. This user believes that one should never stop feeding one's brain. This user lovesknowledge. Wikipedia 7Y ThisWikipedianjoinedWikipedia on February 24, 2018 (7 years, 1 month, 1 week and 6 days ago). 21% This user has been a Wikipedian for 21.3% of his life. ? This user is not sure which of theSeven Ages of Wikipedians he belongs to. This user hasextended confirmed rights on theEnglish Wikipedia. (verify) wiki-2 This user is anintermediateWikipedia editor. WTF? This userALWAYS TRIES to leave an edit summary Non nobis solum This user trustsWikipedia as a reliable source. This user believes in the right of every human being to have access toWikipedia. This user thinks you canlearn a lot byediting anencyclopedia. This user scored92 on theWikipediholic test (revision 1009241023). Wikipedia Contribuisco allaWikipedia in lingua italiana. I support theItalian language Wikipedia withmy contributions.

I am an avid daily (and nightly) user of wikipedia, and I feel like I will never be able to repay this community for everything it gave to me during the past20 years or so. Anyways, after years and years of postponing, on24 February 2018 I decided finally to register and I made my first little modification.

Since then, I have been editing some pages from time to time, mostly about mathematics (differential geometry) and mathematicians, as well as stuff I read/watched/bumped into, both in the English and the Italian wikipedia. Unfortunately, I have never committed too much time in it, but doing so is my constant new year resolution.

Since February 2021 I am more active, doing at least a couple of (non-minor) edits almost every week.

Here you can find thefull list of my contributions (in reverse chronological order) and somecontribution statistics.

Mathematics:

• Algebroid (improved)
• Atiyah algebroid (improved)
• Cartan–Kähler theorem (improved)
• Darboux's theorem (improved)
• Differentiable stack (improved)
• Diffeology (improved from Start to C)
• Diffiety (improved from Stub to C)
• Distribution (differential geometry) (improved from Start to C)
• Dual bundle (improved from Stub to Start)
• Groupoid (improved)
• Groupoid object (improved from Stub to Start)
• Haefliger structure (improved)
• Lie algebroid (improved from Start to B)
• Lie group action (improved)
• Lie groupoid (improved from Start to B)
• Lie's third theorem (improved from Stub to Start)
• Microbundle (improved)
• Moser's trick (created)
• Orbifold (improved)
• Poisson–Lie group (improved)
• Poisson manifold (improved from Start to B) - published in theWikiJournal of Science
• Pseudogroup (improved)
• Weinstein's neighbourhood theorem (created)

Mathematics community:

• Alberto Cattaneo (improved from Stub to Start)
• Alain Connes (improved)
• Alexandre Mikhailovich Vinogradov (improved)
• André Haefliger (improved)
• André Lichnerowicz (improved from Start to C)
• André Lichnerowicz Prize (created and improved to Start level - translating from French)
• Alan Weinstein (improved from Stub to Start)
• Charles Ehresmann (improved from Stub to C)
• Charles-Michel Marle (improved to Start level)
• Colloquium Lectures (AMS) (created at Start level - partially translating from French)
• Descartes-Huygens Prize (created - translating from French)
• Eckhard Meinrenken (improved from Stub to Start)
• European Congress of Mathematics (improved from Stub to Start)
• Ezra Getzler (improved)
• Georges Reeb (improved)
• Giovanni Felder (improved from Stub to Start)
• Hans Duistermaat (improved from Start to C)
• Henri Cartan (improved from C to B)
• Ieke Moerdijk (improved from Stub to Start)
• Istituto Nazionale di Alta Matematica Francesco Severi (improved - translating from Italian)
• Italian Mathematical Union (improved from Stub to Start - translating from Italian)
• Jean-Marie Souriau (improved from Start to C)
• Manfredo do Carmo (improved from Stub to C)
• Marius Crainic (created at Start level)
• Mauro Francaviglia (improved)
• Michèle Audin (improved from Start to C)
• Paulette Libermann (improved from Start to C)
• Peter J. Olver (improved)
• René Thom (improved)
• Richard Palais (improved to C level)
• Robert Bryant (mathematician) (improved from Start to C)
• Rui Loja Fernandes (improved from Stub to Start)
• Shlomo Sternberg (improved from Start to C)
• Victor Guillemin (improved from Stub to Start)
• Yakov Eliashberg (improved from Start to C)

Books, movies and tv-series:

• An Officer and a Spy (film) (improved from Start to C - translating from Italian)
• Antigone (1961 film) (improved from Stub to Start - translating from German)
• Around the World in 80 Days (2021 TV series) (improved from Start to C)
• Cathedral of the Sea (improved from Stub to Start)
• Die Nibelungen (1966–67 film) (improved from Start to C - translating from French and German)
• Eigen Kweek (improved from Stub to C - translating from Dutch)
• El ministerio del tiempo (improved)
• Freud (TV series) (improved from Start to C - translating from Italian and German)
• Grendel (film) (improved from Stub to Start - translating from German)
• Heirs to the Land (improved)
• Hobitit (improved)
• Leonardo (2021 TV series) (improved from Start to C - translating from Italian)
• Lola Montès (improved from Start to C - translating from German)
• Ludwig II (2012 film) (improved from Stub to C - translating from German and Italian)
• Luna Nera (improved from Start to C)
• Marie Curie: The Courage of Knowledge (improved from Stub to Start - translating from French and German)
• Marie Curie, une femme sur le front (created at Start level - translating from French)
• Maria Theresia (miniseries) (improved from Stub to C - translating from German)
• Mein Name ist Bach (improved from Stub to C - translating from German)
• Momo (TV series) (created at C level - translating from German)
• Mondo candido (improved from Stub to Start - translating from Italian)
• Norse Mythology (book) (improved)
• Romulus (TV series) (improved)
• Sisi (miniseries) (improved from Stub to C - translating from German and Italian)
• Socrates (film) (improved from Stub to C - translating from Italian)
• Strogoff (improved from Stub to Start - translating from Italian and German)
• The Bacchantes (film) (improved from Stub to Start)
• The Crown Prince (2006) (created at C level - translating from German)
• The Dragon's Blood (improved from Stub to Start - translating from German)
• The Infinite Worlds of H. G. Wells (improved from Start to C - partially translating from Italian)
• The Name of the Rose (miniseries) (improved from Start to C - translating from Italian)
• The Nightmare Worlds of H. G. Wells (improved from Stub to C)

• The Odyssey (1968 miniseries) (improved from Stub to C - translating from Italian)
• The Soul Keeper (improved from Stub to Start - translating from Italian)
• The Strauss Dynasty (created at C level - translating from German)
• The Wicked (1991 film) (improved from Stub to Start - translating from Italian)
• Treasure of the Petrified Forest (improved from Stub to Start - translating from German)
• Uncle Petros and Goldbach's Conjecture (improved from Stub to Start - partially translating from Italian)
• Wagner (film) (improved from Start to C - translating from German)

Here are some pages I would like to substantially improve/update/expand in the (near or far) future, roughly divided by topics. Feel free to contribute!

Exterior differential systems

• Cartan–Kuranishi prolongation theorem
• Differential ideal
• Integrability conditions for differential systems
• Create separate page for EDS

G-structures

• Cartan's equivalence method
• Coframe
• G-structure on a manifold
• Spencer cohomology
• Solder form

Groupoids/algebroids

• Lie bialgebroid
• Courant algebroid
• Courant bracket
• Dirac structures
• Morita equivalence (this page is only for rings; create a separate page for Lie groupoids)

• Representation up to homotopy
• Create page on Lie-Rinehart algebras

Basic differential geometry

• Adjoint bundle
• Associated bundle
• Atlas (topology)
• Connection (affine bundle)
• Frame bundle#Definition and construction
• Natural bundle
• Preimage theorem
• Local diffeomorphism

Symplectic geometry

• Almost symplectic manifold
• Delzant's theorem
• Duistermaat–Heckman formula

• Presymplectic form
• Symplectic frame bundle

• Symplectic basis
• Symplectization
• Torus action
• Toric manifold

Foliations

• Lagrangian foliation
• Open book decomposition
• Reeb foliation
• Reeb vector field

Other geometric structures

• G2-structure
• Spin(7)-manifold
• Real structure
• Reality structure

Lie groups and algebra

• Continuous group action
• Lie algebra bundle
• Lie–Palais theorem
• Parabolic geometry
• Parabolic Lie algebra
• Representation of a Lie group

Mathematical physics

• Jet group
• Jet bundle
• Lagrangian system

• N-jet
• Liouville–Arnold theorem
• Variational methods in general relativity

Othermathematics stubs and short/bad articles I would like to improve

• Orthonormal frame
• Simplicial manifold
• Analytic manifold
• Equivariant differential form
• Global analysis
• Polyvector field
• Manin triple
• Natural bundle

Other pages I plan to translate

• Accademia delle Scienze di Torino (translate from Italian to English)
• Alexandre Mikhailovich Vinogradov (translate from English to Italian)
• Board Game Arena (translate from French to English)
• Renato Einaudi (translate from Italian to English - and expand it in both languages, possibly creatingCollegio Einaudi)
• Submersion (mathematics) (translate from English to Italian)

Other useful links for future work

• Wikipedia:Requested articles/Mathematics
• User:Mathbot/Most wanted redlinks
• Wikipedia:Lista delle voci che tutte le Wikipedie dovrebbero avere/Lista estesa [it]

• WikiProject Mathematics participants
• Wikipedians interested in mathematics
• User it-N
• User en-3
• User fr-2
• User nl-2
• User de-2
• Wikipedians in Italy
• Wikipedians in the Netherlands
• Wikipedians in Belgium
• Wikipedians in Austria
• Wikipedians in Germany
• Wikipedians with Bachelor of Science degrees
• Wikipedians with MS degrees
• Wikipedians with PhD degrees
• Wikipedian mathematicians
• Wikipedians interested in history
• Wikipedians interested in ancient history
• Wikipedians interested in the Renaissance
• Wikipedians interested in philosophy
• User ipa-1
• Wikipedians who read fantasy
• User latex
• User latex-5
• User Wikitext-2
• Wikipedians who contribute to the Italian Wikipedia
• Male Wikipedians