User:Francesco Cattafi

Francesco Cattafi

—  Julius-Maximilians-Universität Würzburg
High school	Liceo scientifico
University	Università degli studi di Torino Universiteit Utrecht
Hobbies, favourites and beliefs
Hobbies	Current: Eurogames, Roleplaying games Past: 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 di madrelingua italiana. en-3 This user can contribute with an advanced level of English. fr-2 Cet utilisateur peut contribuer avec un niveau intermédiaire en français. nl-2 Deze gebruiker heeft een middelmatige kennis van het Nederlands. de-2 Dieser Benutzer hat fortgeschrittene Deutschkenntnisse. Time UTC+2 from March to October . 32 This user is 32 years old. This user is nocturnal. 27 April 2024 This user supports International Date Format (day month year) Space This user is a citizen of the European Union. This user is a native of Italy. This user has lived in Italy. This user has studied in Italy. This user has lived in the Netherlands. This user has worked in the Netherlands. This user has lived in Belgium. This user has worked in Belgium. This user has lived in Austria. This user has worked in Austria. This user currently lives in Germany. This user currently works in Germany. Academia BSc This user has a Bachelor of Science degree in Mathematics. MSc This user has a Master of Science degree in Mathematics. PhD This user has a Doctor of Philosophy degree in Mathematics. ${\displaystyle e^{i\pi \ }}$ This user is a mathematician. Erdős 5 This user has an Erdős number of 5. This user has published peer-reviewed articles in academic journals. This user is an advocate of open research and open access. Food/drinks This user loves Italian cuisine This user prefers True Neapolitan Pizza. id2 This user loves pasta. spicy food under ANY CIRCUMSTANCES. Chocolate, ice cream, cake, cookies... This user likes all desserts . This user drinks tap water regularly. This user doesn't drink, and has a healthy liver to show for it. Games This user is a Board Game Geek. This user likes to play Role-playing games. This user proudly owns a Game Boy Color. This user is a Pokémon lover and proud of it! This user is an incorrigible cruciverbalist . History and philosophy This user is interested in history. This user is interested in classical mythology. This user is interested in ancient civilizations. This user is interested in the Renaissance period. scientific revolution . This user is interested in the Enlightenment. This user is interested in philosophy. This user thinks and therefore exists. ℚ This user employs rationality. Linguistics This user is interested in Romance languages. This user is interested in Germanic languages. ipa-1 ə This user has a basic understanding of the International Phonetic Alphabet. EE This user uses Euro English. Z This user calls it zed. Latin Plurals: "Data is 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 prefers metric units and cannot figure out why Americans and Brits have such a hard time with them. °C This user uses the Celsius scale, as he finds it superior in every way to Fahrenheit. This user is car-free.‡ This user is a bicycle commuter. This user is a Thingamabrarian. Click here to see my books. This user enjoys reading Fantasy. This user enjoys reading historical fiction. This user is penguin powered. This user uses LaTeX and admires its power. This user uses Kile for editing in LaTeX. -5 This user is a professional LaTeX user. This user couldn't care less about football. This user believes that one should never stop feeding one's brain. This user loves knowledge. Wikipedia 6Y This Wikipedian joined Wikipedia on February 24, 2018 (6 years, 2 months and 3 days ago). 19% This user has been a Wikipedian for 19% of his life. ? This user is not sure which of the Seven Ages of Wikipedians he belongs to. This user has extended confirmed rights on the English Wikipedia. (verify) wiki-2 This user is an intermediate Wikipedia editor. WTF? This user ALWAYS TRIES to leave an edit summary Non nobis solum This user trusts Wikipedia as a reliable source. This user believes in the right of every human being to have access to Wikipedia. editing an Encyclopedia . This user scored 92 on the Wikipediholic test (revision 1009241023). Wikipedia Contribuisco alla Wikipedia in lingua italiana. I support the Italian language Wikipedia with my 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 past 19 years or so. Anyways, after years and years of postponing, on 24 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.

Pages I have created, translated and/or substantially improved

Here you can find the full list of my contributions (in reverse chronological order) and some contribution 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) - submitted to the WikiJournal 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)

To-do list

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

• Courant algebroid (create separate page for 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

Other mathematics stubs and short/bad articles I would like to improve

• Orthonormal frame
• Simplicial manifold
• Analytic manifold
• Equivariant differential form
• Global analysis
• Polyvector field

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 creating Collegio 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]