21. Whoops! Gian-Carlo Rota 21 Apr 1999 Whoops! giancarlo rota, by Samuel S. Kutler http://mathforum.com/epigone/math-history-list/smonkhonsnar

a topic from math-history-list Whoops! Gian-Carlo Rota post a message on this topic post a message on a new topic 21 Apr 1999 Whoops! Gian-Carlo Rota , by Samuel S. Kutler 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by John Conway 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by AJ Franco de Oliveira 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Antreas P. Hatzipolakis 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Samuel S. Kutler 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Gordon Fisher 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Samuel S. Kutler 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Michael Wodzak 21 Apr 1999 Re: Whoops! Gian-Carlo Rota , by Samuel S. Kutler The Math Forum

22. Richard Ehrenborg Dan Johnston, Michael Levin, Swapneel Mahajan, Miguel Méndez, Rajmohan Rajagopalan,Margaret Readdy, giancarlo rota, Chris Skinner, Einar Steingrímsson and http://www.ms.uky.edu/~jrge/

Richard Ehrenborg Associate Professor Department of Mathematics University of Kentucky Lexington, KY 40506-0027 Phone: + 1 (859) 257-4090 Fax: + 1 (859) 257-4078 Email: jrge@ms.uky.edu Research Coalgebras and Hopf algebras On posets and Hopf algebras, Adv. Math. 119 (1996), 1-25. pdf k-Eulerian posets, Order. 18 (2001), 227-236. Homology of Newtonian coalgebras, European J. Combin. 23 (2002), 919-927, with M. Readdy. pdf See also papers listed under the heading Flag vectors of polytopes. Combinatorial topology Generalizations of Baxter's theorem and cubical homology, J. Combin. Theory Ser. A 69 (1995), 233-287, with G. Hetyei. Non-constructible complexes and the bridge index, European J. Combin. 22 (2001), 475-491, with M. Hachimori. pdf Enumerative combinatorics and partially ordered sets A bijective proof of infinite variated Good's inversion, Adv. Math. 103 pdf Juggling and applications to q -analogues, Discrete Math. 157 (1996), 107-125, with M. Readdy.

23. Gian-Carlo Rota a topic from mathhistory-list gian-carlo rota post a message on this topic post a message on a new topic 21 Apr 1999 gian-carlo rota, by Samuel S. Kutler 22 Apr 1999 gian-carlo rota, by Samuel S. Kutler http://mathforum.com/epigone/math-history-list/flyprustand

a topic from math-history-list Gian-Carlo Rota post a message on this topic post a message on a new topic 21 Apr 1999 Gian-Carlo Rota , by Samuel S. Kutler 22 Apr 1999 Gian-Carlo Rota , by Samuel S. Kutler 21 Apr 1999 Re: Gian-Carlo Rota , by Olivier Gerard 1 May 1999 Re: Gian-Carlo Rota , by Samuel S. Kutler 1 May 1999 Re: Gian-Carlo Rota , by Antreas P. Hatzipolakis The Math Forum

24. References For Rota References for giancarlo rota. Books gian-carlo rota on combinatorics (Boston,MA, 1995). BD Taylor and M Waterman, gian-carlo rota (1932-1999), Notices Amer. http://www-gap.dcs.st-and.ac.uk/~history/References/Rota.html

References for Gian-Carlo Rota Books: Gian-Carlo Rota on combinatorics (Boston, MA, 1995). Articles: C Bernardi, Gian-Carlo Rota: a mathematician reflecting on the activity of mathematics (Italian), Archimede E F Beschler, D A Buchsbaum, J T Schwartz, R P Stanley. B D Taylor and M Waterman, Gian-Carlo Rota (1932-1999), Notices Amer. Math. Soc. K P Bogart, The Rota generation, in Gian-Carlo Rota on combinatorics (Boston, MA, 1995), xi-xiii. W Y C Chen, Gian-Carlo Rota : philosopher, psychologist and mathematician, in Gian-Carlo Rota on combinatorics (Boston, MA, 1995) xiv-xv. H H Crapo, Rota's "combinatorial theory", in Gian-Carlo Rota on combinatorics (Boston, MA, 1995) xix-xliii. J-M Kantor, Gian-Carlo Rota (1932-1999) (French), Gaz. Math. No. G B Kolata, Gian-Carlo Rota and combinatorial math, Science F Ulam, Conversations with Rota, Stanislaw Ulam 1909-1984, Los Alamos Sci. No. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Rota.html

25. Rota Biography of giancarlo rota (1932-1999) gian-carlo rota. Born 27 April 1932 in Vigevano, Italy http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Rota.html

Gian-Carlo Rota Born: 27 April 1932 in Vigevano, Italy Died: 18 April 1999 in Cambridge, Massachusetts, USA Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gian-Carlo Rota 's father, Giovanni Rota, was a civil engineer and architect who specialised in anti-earthquake structures. Giovanni Rota was a prominent anti-fascist and his name appears on a death list constructed by Mussolini. Gian-Carlo was born into a talented family in Vigevano, many members of his family had achieved fame in their areas of expertise, for example one of Gian-Carlo's uncles, Flaiano, wrote scripts for Federico Fellini's films, including La Dolce Vita. Gian-Carlo was educated in Italy up to the age of thirteen in 1945. This was near the end of World War II and, due to Giovanni Rota's anti-fascist views, the family was forced to leave Vigevano to escape Mussolini's death squads. Giovanni Rota took his family to northern Italy where they hide for a time before crossing the border into Switzerland. The family eventually escaped to Ecuador where Gian-Carlo completed his secondary school education. The positive side to this remarkable escape story was that Rota was fluent in English, Italian, Spanish and French. Rota entered the United States in 1950 at the age of eighteen to undertake his university studies. He entered Princeton University in 1950 and received a BA summa cum laude in 1953. After graduating, Rota entered Yale University where he studied for his Master's Degree in Mathematics which was awarded in 1954. He then undertook doctoral studies, supervised by Jacob T Schwartz, and he was awarded a PhD from Yale in 1956 for his thesis

26. Rota Reflects On Math And Mathematicians unrecognized. giancarlo rota, professor of applied mathematics and philosophy the sole MIT claimant to that title is not silent. His http://web.mit.edu/newsoffice/tt/1998/oct28/rota.html

Published by the MIT News Office at the Massachusetts Institute of Technology, Cambridge, Mass. October 28 Tech Talk Search MIT News ... MIT WEDNESDAY, OCTOBER 28, 1998 Rota reflects on math and mathematicians By Denise Brehm News Office Behind most great science and engineering discoveries stands the work of a host of mathematicians. But their research, like the support of a silent consort, often goes unrecognized. Gian-Carlo Rota, professor of applied mathematics and philosophy the sole MIT claimant to that title is not silent. His interest in communicating with mathematicians, as well as the rest of us, has manifested itself in some very public ways. He spoke at Family Weekend this year ("Ten Predictions about Science") and last year ("Ten Lessons of an MIT Education"), was the Killian Lecturer in 1997 ("Mathematical Snapshots"), speaker at the Provost's Seminar in 1998 ("Ten Remarks on Husserl and Phenomenology"), and presenter of the 1998 American Mathematical Society (AMS) Colloquium Lectures a series of three talks presented each year by one of the world's most eminent mathematicians, according to the AMS. Professor Rota also engages people, very graciously, on an individual level. He's known among students for his accessibility and his clear presentation of material in his math and philosophy courses. He's also respected for his deep understanding of those subjects and revered for his love of communicating.

27. Gian-Carlo Rota SIAM News Quick Search giancarlo rota 1932-1999. gian-carlo rota.gian-carlo rota, a professor of applied mathematics and philosophy http://www.siam.org/siamnews/06-99/rota.htm

SIAM News Quick Search: Gian-Carlo Rota Gian-Carlo Rota Gian-Carlo Rota, a professor of applied mathematics and philosophy at the Massachusetts Institute of Technology, died of heart failure, apparently in his sleep, around April 18, 1999. Rota was born in Vigevano, Italy, on April 27, 1932. Forced to flee Mussolini's death squads, his family left Italy in 1945, after which they lived for a time in Ecuador. His sister, Ester Rota Gasperoni, recounted the family's escape from Italy in two books, Orage sur le Lac and L'arbre des Capulies. Rota came to the United States in 1950; he received a BA from Princeton University and, in 1956, a PhD from Yale University under Jacob T. Schwartz. He held postdoctoral positions at the Courant Institute and Harvard University before arriving at MIT in 1959. Except for a short hiatus at Rockefeller University (1965-67), he remained at MIT until his death, much to the good fortune of countless MIT undergraduates, graduate students, visitors, and faculty who were able to share his enthusiasm and joy for mathematics, philosophy, and life in general. An important watershed in the development of combinatorics was the NSF Advanced Science Seminar in Combinatorial Theory at Bowdoin College during the summer of 1971. Gian-Carlo presided over this meeting as a godfather of the "new combinatorics." He was involved in all aspects of the eight-week meeting, from the mathematical content to social activities. I recall one pedagogical innovation of his-the tandem lecture. He would choose about six people from the audience who had to leave the room and not talk to each other. He would then call them into the lecture hall one at a time to deliver a five-minute lecture. Each lecture had to be a continuation of the previous lecture, based on what the previous speaker had left on the blackboard.

28. Dan Klain's Publications A continuous analogue of Sperner's theorem, with giancarlo rota, Communicationson Pure and Applied Mathematics, 50 (1997), 205-223. http://faculty.uml.edu/dklain/pubs.html

Dan Klain's Publications Papers A short proof of Hadwiger's characterization theorem, Mathematika, Star valuations and dual mixed volumes, Advances in Mathematics, Invariant valuations on star-shaped sets, Advances in Mathematics, A continuous analogue of Sperner's theorem, with Gian-Carlo Rota Communications on Pure and Applied Mathematics, Kinematic formulas for finite lattices, Annals of Combinatorics, Kinematic formulas for finite vector spaces, Discrete Mathematics, An Euler relation for valuations on polytopes, Advances in Mathematics, Even valuations on convex bodies, Transactions of the American Mathematical Society, Free polygon enumeration and the area of an integral polygon, Discrete Mathematics, Continuous and profinite combinatorics, with Joseph P. S. Kung, in Gian-Carlo Rota on Analysis and Probability edited by Jean Dhombres, Joseph Kung and Norton Starr. (Boston: Birkhäuser Verlag, 2003). The Brunn-Minkowski inequality in the plane, submitted. The Minkowski problem for polytopes, submitted. Face regularity and isosceles tetrahedra,

29. Gian-Carlo Rota - The MIT Press Author. 4 publications. Showing 14 SORT BY Title (AZ) gian-carlo rota. http://www-mitpress.mit.edu/catalog/author/default.asp?aid=2160

30. George Pólya - The MIT Press George Pólya Collected Papers vol 4 Probobility; Conbinarorics; Teachingand Learning in Mathematics George Pólya and gian-carlo rota (Eds.) Cloth http://www-mitpress.mit.edu/catalog/author/default.asp?aid=1209

31. Gian-Carlo Rota And His Students Some Words of giancarlo rota. I have yet to find a person who canstate the entire theory (of Stone's) from memory. (1973). It sees http://www.math.tamu.edu/~cyan/Rota/words.html

Some Words of Gian-Carlo Rota I have yet to find a person who can state the entire theory (of Stone's) from memory. (1973) It sees that publishing an idea in a Festschrift is the quickest way to have it forgotten. (1973) Analysis wil play second fiddle to algebra. The algebraic structure sooner or later comes to dominate, whether or not it is recognized when a subject is born. (1998) As long as a branch of secience offers an abundance of problems, so long is it alive. - David Hilbert, 1900.

32. Gian-Carlo Rota (1932-1999) giancarlo rota (1932-1999) One of gian-carlo rota's virtues lay inthe fact that he was welcoming not just to a few intimates, but http://www.math.wayne.edu/~bdt/ROTA.html

Gian-Carlo Rota (1932-1999) One of Gian-Carlo Rota's virtues lay in the fact that he was welcoming not just to a few intimates, but to a large community of mathematicians. In that sense, there is nothing ``special'' about the following recollections, however precious I find them. Any of his students and very many who were not will recognize their experiences here. all of them.'' But one of the first papers I do remember reading was Rota's paper with Joni on coalgebras and bialgebras in combinatorics; I still remember the excitement I had seeing children's puzzles put into an algebraic framework. It was the ability to ask ``Why?'' in mathematics and actually get a solid answer that first attracted me to math. It was Rota's attention to answering that ``Why?'' in as deep a way as possible that convinced me to be a combinatorialist. I remember Rota's characteristic generosity: The research problems he shared freely, not just with his graduate students, but with anyone he talked to or taught; the dinners out at good trying to hide your techniques from your readers?'' By the time that weekend was over, the techniques, and the paper were clear.

33. Errata For Memorial Article: Gian-Carlo Rota (1932-1999) (My object lesson in why one should read galleys early.) Errata asof 1/2/00 for Memorial Article giancarlo rota (1932-1999). The http://www.math.wayne.edu/~bdt/Papers/mem-rota-errata.html

My object lesson in why one should read galleys early.) Errata as of 1/2/00 for Memorial Article: Gian-Carlo Rota (1932-1999) The original article appears in the Notices of the AMS February, 2000, volume 47, number 2 , pages 203-216. It is also available in postscript format. This list pertains only to the section (from page 210 to page 216) written by Buchsbaum and Taylor. On page 210, in the final display of the 2nd column: Insert a negative sign in front of the left-hand-side of the equation. On page 211, 1st column, in Equation 1: On page 212, 2nd column, in the 3rd line from bottom: On page 213, 2nd column, in the 7th line of the 2nd full paragraph: One should replace "a polar" with "apolar". Switch the words "row" and "column".

34. Students Commemorate Rota With Candles And Coke out the door was for that night's special, “Pasta with rota Sauce,”' and thecan of Coke was homage to a dearly departed professor, giancarlo rota. http://www-tech.mit.edu/V119/N27/27rota.27n.html

Students Commemorate Rota with Candles and Coke By Erik Snowberg STAFF REPORTER As it began to get dark outside, we started our candlelight vigil in Kresge Oval. A bulletin board on the student center steps displayed four pictures of Rota in his recently cleaned office the week before his death. There was a light wind which made us all stand close together to protect the flames. This story was published on Friday, June 4, 1999. Volume 119, Number 27 Other options: Read other stories in this issue. Return to our home page

35. Convegno Su Gian-Carlo Rota Translate this page Convegno internazionale gian-carlo rota memorial conference gian-carlo rota (1932-1999)è stato uno dei più grandi matematici della seconda metà del ‘900. http://space.tin.it/scienza/maurocer/Convegni/Conv03.htm

Convegno internazionale Gian-Carlo Rota memorial conference 25, 26, 27 aprile 2002 Centro Turistico San Colombo Via Provinciale Km.4, Barisciano (AQ) www.sancolombotur.com www.rota.org sine qua non for survival, the ineptness of the mathematical community in making the message of mathematics heard beyond their narrow confines is a forerunner of doom. Unless a resolute action is taken, mathematics risks to becoming a curiosity we will take our children to watch in a odd zoo, side by side with other relics of bygone ages like classical music, sonnets, oil painting, calligraphy and the classics.” Sono previsti interventi di: Andrea Brini (Univ. di Bologna ), Henry Crapo (E.H.E.S.S. Parigi), Ottavio D'Antona (Univ. di Milano), Fabrizio Palombi (Univ. della Calabria), Giuseppe Pirillo (CNR, Firenze), Domenico Senato (Univ. della Basilicata), Bruno Simeone (Univ. di Roma La Sapienza) Mauro Cerasoli mceraso@tin.it Hotels Centro Turistico San Colombo , via Provinciale, Km.4 (Barisciano): tel. 0862899017; 3357588602; info@sancolombotur.com

36. In Memory Of Gian-Carlo Rota A Professor Who Loved Coke. In memory of gian-carlo rota By JackieShen (followed by a story from Norton Starr). Facing the word http://www.math.ucla.edu/~jhshen/memgc.html

A Professor Who Loved Coke - In memory of Gian-Carlo Rota By Jackie Shen (followed by a story from Norton Starr) Facing the word processor of my new notebook, I can feel that my mind is clear and clean, like the sky above the window of my apartment. It is a typical Los Angeles summer night. You can hear the on-going concert of the bug's world. I guess they are happy living in grass, especially here. LA is their heaven. It is the perfect time to write. Gian-Carlo, my dear friend. I am ready to pay my long-term debt of emotions. I wish my poor English will not distort my heart ... Gian-Carlo loved Coke. No one ever sees why. Once I secretly made my assumption: Gian-Carlo loved Coke so much just because "Cola" approximated "Carlo." The mathematical community loves to start from assumptions. So does Gian-Carlo. I suppose he was trying to prove my hypothesis, since he was always fond of doing proof, as a mathematician for nearly four decades. Gian-Carlo was the General-of-ODE(ordinary differential equations) at MIT. He seemed to love teaching ODE (very much!). The lecture room was typically full of more than 200 students, and he taught two sessions, usually one right after the other. (During weekends, this room is where you can hear hundreds of people screaming for movies and popcorns.) Once I told myself that if I were the CEO of the Coca-Cola company, I would take no hesitation to reward Gian-Carlo for his persistent advertising role.

37. Gian-Carlo Rota fun@optima.cs.arizona.edu From Michael Kleber Date Tue, 20 Apr 1999 113836 0400(EDT) To math-fun@CS.Arizona.EDU Subject gian-carlo rota Sender owner http://w3rep.math.h.kyoto-u.ac.jp/topics/gcrota.html

Delivered-To: math-fun@optima.cs.arizona.edu From: Michael Kleber Date: Tue, 20 Apr 1999 11:38:36 -0400 (EDT) To: math-fun@CS.Arizona.EDU Subject: Gian-Carlo Rota Sender: owner-math-fun@CS.Arizona.EDU With a heavy heart, I pass along the news: Gian-Carlo Rota died this weekend. I just saw him on Friday afternoon. I thought it was a miracle: his office formerly piles of papers with just enough room left to walk to the desk or blackboard from the door was clean; he had had teams of students helping him go through and throw things away for weeks. He was sitting behind his desk talking with Richard Stanley, looking pleased with the world. But then, he was always one to look pleased with the world; it was his style. I'm still kind of in shock. Michael Kleber kleber@math.mit.edu Back to Home in Japanese Last Update : Wednesday, 21-Apr-1999 17:32:34 JST

38. Fine Hall In Its Golden Age: Remembrances Of Princeton In The Early Fifties, By giancarlo rota was born in Italy, where he went to school through theninth grade. He attended high the early fifties*. gian-carlo rota. http://libweb.princeton.edu/libraries/firestone/rbsc/finding_aids/mathoral/pmcxr

A Century of Mathematics in America, Part III, History of Mathematics, Volume 3, P. Duren, Ed., pp.223-236, American Mathematical Society, 1989. Gian-Carlo Rota was born in Italy, where he went to school through the ninth grade. He attended high school in Quito, Ecuador, and entered Princeton University as a freshman in 1950. Three years later, he graduated summa cum laude and went to Yale, where he received a Ph.D. in 1956 with a thesis in functional analysis under the direction ofJ. T. Schwartz. After a position at Harvard, in 1959 he moved to MIT, where he is now professor of mathematics and philosophy. He has made basic contributions to operator theory, ergodic theory, and combinatorics. The AMS recently honored him with a Steele Prize for his seminal work in algebraic combinatorics. He is a senior fellow of the Los Alamos National Laboratory and a member of the National Academy of Sciences. Fine Hall in its golden age: Remembrances of Princeton in the early fifties* GIAN-CARLO ROTA [*The present article is a draft for a chapter of a book which the author is under contract to write for the Sloan science series. ]

39. Gian-Carlo Rota On The Teaching Of Differential Equations giancarlo rota on the Teaching of Differential Equations. gian-carlo rota Ten LessonsI Wish I Had Learned Before I Started Teaching Differential Equations . http://euler.slu.edu/Dept/Faculty/marks/Pedagogy/RotaOnTeachingODEs.html

Gian-Carlo Rota on the Teaching of Differential Equations G. M. Gian-Carlo Rota: "Ten Lessons I Wish I Had Learned Before I Started Teaching Differential Equations"

40. Gian-Carlo Rota / Lesson 1 1 Lecturing. The following four requirements of a good lecture donot seem to be altogether obvious, judging from the mathematics http://www.birkhauser.ch/books/math/rotaspee/lesson1.htm

1 Lecturing The following four requirements of a good lecture do not seem to be altogether obvious, judging from the mathematics lectures I have been listening to for the past forty-six years. a. Every lecture should make only one main point b. Never run overtime Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention will turn elsewhere even if we are trying to prove the Riemann hypothesis. One minute overtime can destroy the best of lectures. c. Relate to your audience As you enter the lecture hall, try to spot someone in the audience with whose work you have some familiarity. Quickly rearrange your presentation so as to manage to mention some of that person's work. In this way, you will guarantee that at least one person will follow with rapt attention, and you will make a friend to boot. Everyone in the audience has come to listen to your lecture with the secret hope of hearing their work mentioned. d. Give them something to take home

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