J. J. P. Veerman

Professor of Mathematics

Affiliate Professor of Physics

Portland State University 

1825 SW Broadway, Portland, OR 97201, USA

FMH, rm 464B

email:  veerman@pdx.edu

                                                                   Website: http://web.pdx.edu/~veerman/

                                                                        Telephone: 503-725-8187


Newspaper (El Pais, Spain) articles August 28, 1988 and March 19, 1989.

Papers starting 1985

Papers starting 1995

Papers starting 2005

Papers starting 2015

Papers starting 2020

Research seminar series at Portland State University (2005, 2006, 2010, 2011)

Research seminar series at Rockefeller University (1996, 1997, 2008, 2009)

A language page.


Short Bio and Description of Research

This can be found here and here.

I am always looking for students, and in particular PhD students, interested and willing to
participate in research projects in (or related to) the areas described here. Interested students
should consult the links given in this website to my papers, lecture notes, and course


Pescara 2019 summer school and conference on
Mathematical Modeling of Complex Systems

In the summer of 2019, I participated in a summer school and conference in
Mathematical Modeling in Pescara, Italy. I gave a mini-course on the theory
of directed graphs in the summer school:
part 1, part 2, part 3, and part 4.
I also served as guest editor of the Proceedings of the conference. A description
of the meeting and links to the papers presented can be found here:


Lecture Notes on Number Theory

Here is a flyer, the syllabus, and free lecture notes  (with the copyright statement here) for a newly
designed course in number theory. This was a sequence of two courses MTH 449/549 and MTH
410/510 (fall 2020 and winter 2021). These notes are a work in progress and may contain errors.




Teaching  Statements for all classes:

Here are links to DRC, Title IX, and Zoom-FERPA statements.  Here is a statement about
classroom requirements due to covid-19. These statements are valid for all courses.


Homework  Statements:

IMPORTANT 1: All answers on home works and exams must be justified,  even if  that is not evident from
                              the phrasing of the question. Answers without justification will receive partial credit at best.
IMPORTANT 2: Before turning in exams or HW's, write your first plus last name in the top right corner
                              of each sheet you turn in (even if you staple them together)!


TEACHING 2021-2022:

I will teach a full year course on Number Theory based on the lecture notes referred above.
The first part is introductory MTH 449/549 is introductory and is based on Chapters 1--6 of the notes.
Parts 2 (MTH 410/510) and 3 (MTH 610) are somewhat more advanced and deal with the basics
of algebraic number theory, analytic number theory, and ergodic theory (applied to number theory).

In addition I will teach undergraduate Group Theory (MTH 344) and Rings and Fields (MTH 345, Spring 2022).
Both courses will be taught from C. C. Pinter, A Book of Abstract Algebra, second edition, Dover, 1990.


Fall 2021, MTH 449-549, Number Theory:

Due to covid, we will pace the course slightly slower than usual. This term, we will study chapters
1 through 5. The set up is simple. Roughly every two weeks we will do one chapter. The first of
those two weeks is dedicated the theory as outlined in the main text, and the second week we dedicate
to the going through all the HW problems of that chapter. Exams will consist of turning in to be graded
a small selection of HW's, probably two for each chapter.


Fall 2021, MTH 344, Group Theory:


Other General Announcements for Students:

In most of my classes you will be either strongly encouraged,
or even obliged to turn in your HW in *.pdf format based on LATEX.
Here is a website where LATEX is explained: 


Student Research Projects:

I have many research projects, Most are intended for 501 theses or PhD level projects.
If you are interested in doing a research project in:
Dynamical Systems, Social and Economic Networks, Coherent Motion of Flocks, Topology/Geometry,
Fractal Geometry, Discrete Mathematics, Mathematical Physics, Networks and Graph Theory,
or others, please talk to me.