Πέμπτη 23 Δεκεμβρίου 2021

Richard P. Stanley receives 2022 Steele Prize for Lifetime AchievementAMS :: News from the AMS – Συλλέκτης Σωτήρη Χασάπη

Richard P. Stanley receives 2022 Steele Prize for Lifetime AchievementAMS :: News from the AMS – Συλλέκτης Σωτήρη Χασάπη

Richard P. Stanley, an emeritus professor of mathematics at the Massachusetts Institute of Technology, will receive the 2022 AMS Leroy P. Steele Prize for Lifetime Achievement. Stanley has revolutionized enumerative combinatorics, revealing deep connections with other branches of mathematics, such as commutative algebra, topology, algebraic geometry, probability, convex geometry, and representation theory. In doing so, he solved important longstanding combinatorial problems, often reinvigorating these other fields with new combinatorial methods. Through his outstanding research; excellent expository works; and many PhD students, collaborators and colleagues, he continues to influence the field of combinatorics worldwide.

Richard P. Stanley
Richard P. Stanley
Credit: Atsuko Kida

Response of Richard P. Stanley

It is a wonderful honor to receive the Leroy P. Steele Prize for Lifetime Achievement. When I started working in enumerative and algebraic combinatorics around 1967, I was greatly attracted to the vision of my thesis adviser Gian-Carlo Rota (recipient of a 1988 Steele Prize), who saw glimmerings of deep connections between combinatorics and other branches of mathematics. In graduate school, I became interested in partially ordered sets and symmetric functions. They fortunately turned out to be extremely fecund concepts which continue to fascinate me. I have described elsewhere how the problem raised by MacMahon of enumerating solid (3-dimensional) partitions eventually led me to find connections with convex polytopes, commutative algebra, and algebraic geometry, leading to the solution of a number of problems, such as the Upper Bound Conjecture for Spheres and the g-conjecture for simplicial polytopes, having nothing to do with solid partitions. It is interesting how the path to successful research can be so circuitous.

Throughout my career it has been gratifying to see many highly talented aspiring mathematicians decide to work in algebraic and enumerative combinatorics. Thanks to their efforts, the field has become vastly more sophisticated and intertwined with other areas than when I began my own research. This Steele Prize should be regarded not only as an individual honor, but also as a testament to the efforts of these other researchers who have raised algebraic and enumerative combinatorics to its present lofty level. I should also express my gratitude to the MIT Department of Mathematics for providing a stimulating and nurturing environment for learning, discovering, and teaching mathematics.

Biographical Sketch of Richard P. Stanley

Richard P. Stanley attended the California Institute of Technology as an undergraduate and received his PhD from Harvard University in 1971. He originally planned to work in algebra or number theory, but under the spell of Gian-Carlo Rota, he switched his main research interest to combinatorics. After postdocs at MIT and UC Berkeley, Stanley returned in 1973 to MIT, where he remained until retiring in 2018. He continues as an Arts and Sciences Distinguished Professor at the University of Miami during spring semesters. He especially likes connections between combinatorics and other branches of mathematics.

Stanley is a member of the American Academy of Art and Sciences and the National Academy of Sciences and a Fellow of the AMS. He was a plenary speaker at the ICM in 2006 and gave the AMS Colloquium Lectures in 2010. He received the SIAM George Pólya Prize in Combinatorics in 1975, the Steele Prize for Mathematical Exposition in 2001, and the Rolf Schock Prize in Mathematics in 2003. Sixty students received their PhDs under his supervision. In addition to these mathematical progeny, he has two biological children and two grandchildren.

About the Award

Presented annually, the AMS Leroy P. Steele Prize for Lifetime Achievement is awarded for the cumulative influence of the total mathematical work of the recipient, high level of research over a period of time, particular influence on the development of a field, and influence on mathematics through PhD students. The Steele Prizes were established in 1970 in honor of George David Birkhoff, William Fogg Osgood, and William Caspar Graustein, and are endowed under the terms of a bequest from Leroy P. Steele.

The 2022 prize will be presented Wednesday, January 5 during the Joint Prize Session at the 2022 Joint Mathematics Meetings in Seattle.

Find out more about the prize and previous recipients.

Contact: AMS Communications.

 

Δευτέρα 8 Νοεμβρίου 2021

George Bernard Dantzig

 

αν σήμερα,το 1914 γεννιέται ο μαθηματικός George Bernard Dantzig.
Γεννήθηκε στο Πόρτλαντ του Όρεγκον.Οι γονείς του,τον ονόμασαν George Bernard προς τιμή του Τζορτζ Μπερνάρντ Σω, του Ιρλανδού συγγραφέα. Ο πατέρας του Tobias Dantzig ήταν Γερμανός μαθηματικός και γλωσσολόγος της Βαλτικής και η μητέρα του, Anja Dantzig Γαλλίδα γλωσσολόγος.O George Bernard Dantzig υπήρξε μαθηματικός διαμετρήματος με περγαμηνές στην στατιστική, στην επιστήμη των υπολογιστών, την οικονομική επιστήμη αλλά κυρίως στην επιχειρησιακή έρευνα. Γνωστός για την εργασία του στο γραμμικό προγραμματισμό και ειδικότερα για την δημιουργία του αλγορίθμου Simplex, ενός αλγόριθμου για την επίλυση προβλημάτων γραμμικού προγραμματισμού.
Το 1939, ενώ ήταν μεταπτυχιακός φοιτητής στο Berkeley πρωταγωνίστησε στο εξής περιστατικό. Καθυστερεί σε ένα μάθημα, όταν φτάνει,ο καθηγητής Jerzy Neyman είχε ήδη γράψει στον πίνακα δυο προβλήματα στατιστικής, ο Dantzig υποθέτει ότι τα προβλήματα ήταν μια εργασία στο σπίτι και τα σημειώνει. Η αλήθεια είναι ότι τα προβλήματα όπως ο ίδιος μετέπειτα έλεγε «φάνηκαν να είναι λίγο πιο δύσκολα από το συνηθισμένο», αλλά λίγες μέρες αργότερα έδωσε ολοκληρωμένες λύσεις και τις παρέδωσε όπως πίστευε καθυστερημένα στον Neyman.
Έξι εβδομάδες αργότερα,πρωί,κάποιος χτυπούσε μετ’ επιτάσεως την πόρτα του Dantzig,όταν άνοιξε την πόρτα είδε ένα κατενθουσιασμένο καθηγητή Neyman,ο οποίος του είπε ότι τα προβλήματα που είχε λύσει ήταν δύο από τα πιο διάσημα άλυτα προβλήματα στην στατιστική.Είχε προετοιμάσει μία από τις λύσεις του για δημοσίευση σε ένα μαθηματικό περιοδικό.Όπως είπε ο Dantzig σε μια συνέντευξη του 1986,στο Journal College Mathematics: Ένα χρόνο αργότερα,όταν άρχισα να ανησυχώ για το ποιο πρέπει να είναι το θέμα της διατριβής μου,ο Neyman απλώς σηκώθηκε και μου είπε να ολοκληρώσω τα δύο προβλήματα να τα συρράψω και θα τα δεχόταν την διατριβή μου.
Αυτή η ιστορία άρχισε να εξαπλώνεται και πήρε διαστάσεις με το όνομα του Dantzig σιγά-σιγά να αφαιρείται και τα γεγονότα να αλλάζουν, αλλά η βασική ιστορία παραμένει με τη μορφή αστικού μύθου και έμπνευση για την εισαγωγική σκηνή στην εξαίρετη ταινία Good Will Hunting
 
May be an image of text that says '((k.v) kx(kxv)1 ru kx( +٣٣٣ =nerr) n(È) Mg rF-nx(nx) =r-(r) In 1939, George Dantzig arrived late to his statistics class. On the board were two famous "unsolved" problems in statistics written as an example by his professor. Dantzig mistook the examples for homework assignments. He solved the "unsolved" problems and submitted the homework to his professor a few days later. His solutions earned him a doctorate. ifunny.c' 
 
πηγή: <iframe src="https://www.facebook.com/plugins/post.php?href=https%3A%2F%2Fwww.facebook.com%2Fthanasisdrougas%2Fposts%2F4104943336278637&show_text=false&width=500" width="500" height="485" style="border:none;overflow:hidden" scrolling="no" frameborder="0" allowfullscreen="true" allow="autoplay; clipboard-write; encrypted-media; picture-in-picture; web-share"></iframe>
 


Κυριακή 15 Δεκεμβρίου 2019

Jeffrey C. Lagarias

Jeffrey C. Lagarias



Research Interests:

Number Theory; also: Computational Complexity Theory,
Cryptography, Discrete and Computational Geometry,
Dynamical Systems, Harmonic Analysis, Low-Dimensional Topology,
Mathematical Physics, Optimization







  • Courses Fall 2019




  • Undergraduate Math Club Fall 2019




  • Previous Courses






  • Schedule







  • Advisees (Ph.D.'s and Graduate Students)









  • Books and Papers




  • Talks-Slides




  • Talks-Videos


  • Professional Data







  • Notices of the AMS article with Chuanming Zong (pdf) ``Mysteries in Packing Regular Tetrahedra" ( Vol. 59, No. 11, Dec. 2012, 1540--1549)








  • Elizabeth Chen thesis defense (Ann Arbor Chronicle, February 14, 2010)







  • Last updated Sept 1, 2019 (links to papers before 1987 may be broken)

    Κυριακή 31 Μαρτίου 2019

    ΤΟ ΣΤΕΚΙ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ - Νίκος Χατζημανώλης

    ΤΟ ΣΤΕΚΙ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ: Το blog αυτό φιλοξενεί απόψεις, σχόλια, άρθρα, δημοσιεύσεις και γενικότερα αναζητήσεις γύρω από τα μαθηματικά και τις επιστήμες.