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
Prospective graduate students should check out the Number Theory/Arithmetic Geometry Group at the University of Georgia. Do not hesitate to contact me if you are interested in joining our group. You may also access from here the University of Georgia Mathematics department.
Math Trivia: 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.
Errata for Lang’s book Fundamentals of Diophantine Geometry.
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 published a review of this article or of any of its two reprinted versions.
How should one cite the Elements de Géométrie Algébrique (EGA)?
How should one cite Crelle’s Journal?
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.
Information for students interested in Cryptography and Computer Security.
Students interested in Cryptography and Computer security should consider taking
Math 4450/6450 (Cryptography), or MATH 4400/6400 (Number Theory)
Math 4600 (Probability)
CSCI 4250/6250 (Computer Security)
CSCI(MATH)(PHYS) 4612/6612 (Introduction to Quantum Computation)
Please feel free to talk to me if you are interested in these topics, or to Professors
Kang Li and Rod Canfield in the Computer Science department.
Archived: Vigre seminar on algebraic graph theory.
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:
More recent evaluations for Integral Calculus:
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.
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:
(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 US?
U.S. National Debt : The Outstanding Public Debt as of 20 Sep 2013 is:
The National Debt has continued to increase an average of $1.90 billion per day since September 30, 2012. Concerned?
My personal best in fuel efficiency, with a 2013 Prius 2:
200 freeway miles at 60 miles per US gallon (3.92 liters per 100 km)
2200 miles driven at 54.5 miles per US gallon (4.316 liters per 100 km)
15,000 miles driven at 53 miles per US gallon (4.438 liter per 100 km)