*442 Boyd Research and Education Center*

*Department of Mathematics, University of Georgia, Athens, GA 30602*

*lorenzin at uga dot edu*

*(706) 542-2630*

I am the Faculty Director of the Research and Training Group Algebra-Algebraic Geometry-Number Theory (AGANT) supported by a $2,000,000 RTG grant from the NSF (2014-2022).

The AGANT community welcomes in 2024-2025 three new postdoctoral fellows, Steve Fan, Alberto San Miguel Malaney, and Gabrielle Scullard.

**Regular seminars:**

Available by clicking on the desired words are publications and preprints, and some information on my book, An Invitation to Arithmetic Geometry.

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.

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?

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.

**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, and look up the related Institute for Cybersecurity and Privacy at UGA.

Archived: Vigre seminar on algebraic graph theory.

Archived: 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:

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, First lecture
- 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.)

**Fuel efficiency**, with a 2013 Prius 2:

200 freeway miles at 60 miles per US gallon (3.92 liters per 100 km)

2200 miles at 54.5 miles per US gallon (4.316 liters per 100 km)

45,000 miles at 53.1 miles per US gallon (4.429 liters per 100 km)