Distinguished Research
Professor of Mathematics
Mail: Department of Mathematics, University of Georgia, Athens, GA 30602. Phone: (706) 542-2578 Fax: (706) 542-5907 or (706) 542-2573 Email: lorenzini at math dot uga
dot edu Number
Theory Seminar (Archives) Joint Athens-Atlanta
Number Theory Seminar Available by clicking on the desired words are publications and preprints, and some information on my
book, An Invitation to Arithmetic Geometry. You can read here a review of John Tate's 1966 Bourbaki Seminar article, one of the most important articles in the field, reprinted twice already. Math Reviews has not yet published a review of this article or of any of its two reprinted versions. To try to correct this surprising state of affair, I sent in the above `free' review to the editor of MR in March 2005. The editor decided not to publish it. It seems to me that every seminal paper should be reviewed by MR. So I then suggested other possible reviewers for Tate’s 1966 seminar article, but MR again decided not to publish any review for it. How should one cite the
Elements de Géométrie Algébrique (EGA)? How should one cite Crelle’s Journal? Who coined the terminology Bézout domain? This
article is the earliest article (Nov 7th, 1960) that I found
in the literature where the term Bézout is
used in the modern sense. Surprisingly, the terminology is only inserted in
the title, and in the text, the author defines such a ring as `anneau semi-principal’. It makes one wonder whether
the insertion of `Bézout’ in the title
was suggested by a referee. The author refers in the paper to the book Algèbre commutative, by N. Bourbaki,
without any precise reference. The term Bézout domain is used by Bourbaki
in Exercise 20 of section 1 in Chapter 7, first published in 1965. Chapters
1-4 were published in 1961. Errata
for Lang’s book Fundamentals of Diophantine Geometry. For the mathematical travelers, I have included some
notes on several departments of mathematics that I visited in Africa. People doing mathematical research at institutions
with small libraries and who have problems getting access to mathematical
articles already in print should not hesitate to use the free UGA Mathematics Library copying service. Prospective graduate students should check out the Number
Theory/Arithmetic Geometry Group at the Vigre seminar on algebraic graph theory. Undergraduate
and wide audience talks at UGA. In recent years, several web sites started providing
`evaluations' of professors. Unfortunately, these evaluations are anonymous,
and the evaluator is self-selected: these evaluations are usually from
students that either really liked the professor, or really disliked him/her.
In my view, undergraduate students should certainly try to find the best
available professor teaching a course, but I doubt that these web sites
provide any meaningful information in this respect. To help prospective
students in their choice of a professor, I will make public below my class
evaluations: Differential Calculus (Math 2200,
Fall 2002, data for first section) Differential Calculus (Math 2200,
Fall 2002, data for second section) More recent evaluations for Integral Calculus: Integral
Calculus (Math 2260, Fall 2010) I am not claiming that class evaluations are the
best indicator of the quality of the instructor, but at least it is certainly
a better indicator than what is found on commercial web sites. Math 2250,
Syllabus and Office Hours Math 2250,
Function in your field of interest Math 2250,
Calculus and your field of interest My Erdös (1913-1996) number is 3: Erdös-Granville-Tucker-Lorenzini or Erdös-Dixmier-Raynaud-Lorenzini. My Einstein (1879-1955) number is 4: Einstein-Straus-Guralnick-Tucker-Lorenzini. My Hilbert
(1862-1943) number is 7: Hilbert-Courant-Friedrichs-Shapiro-Erdös-Granville-Tucker-Lorenzini,
or Hilbert-Courant-Robbins-Lalley-Pemantle-Granville-Tucker-Lorenzini. (A shorter string is provided by the collaboration
distance tool in Math Reviews, but it contains a spurious co-authorship.) How many `Dino Lorenzini' live in the U.S. National Debt : The Outstanding Public Debt as
of 24 Apr 2012 is: $ 15,631,772,810,716.52 The National Debt has continued to increase an
average of $3.97 billion per day since September 28, 2007. Concerned? |
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