J. J. P. Veerman

Professor of Mathematics

Affiliate Professor of Physics

Portland State University

Portland, OR 97201, USA




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.


Pescara Lecture Notes on Directed Graphs

Part 1, part2, part 3, and part 4. See also  https://www.sci.unich.it/mmcs2019/


Lecture Notes on Number Theory

These notes are a work in progress and therefore they are incomplete and may contain
. I posted a recent version here.


I was awarded the (full year) 2019/20 Fulbright-Czech
Distinguished Professorship at the Czech Technical
University in Prague.

The Fulbright Scholar Program is "a program of the United States Department of State
Bureau of Educational and Cultural Affairs."

"The Fulbright Distinguished Chair Awards comprise approximately forty distinguished lecturing,
distinguished research and distinguished lecturing/research awards ranging from three to 12 months.
Fulbright Distinguished Chair Awards are viewed as among the most prestigious appointments in the
Fulbright Scholar Program. Candidates should be eminent scholars and have a significant
publication and teaching record."

Unfortunately, administrative decisions by the dean's office of Portland State University 
made it impossible for me to accept this wonderful award. So I am in Portland during 2019/20.


Teaching SUMMER 2020 (for 2020-2021, see below):

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)!

MTH 346, Number Theory

Here you can find the flyer, syllabus, and course plan for this course. All assignments, home works, and exams
are announced in class.
Note that the plan was designed for a non-corona course. In the current situation, the
plan may be modif
ied substantially. For example, quizzes may be replaced by take-homes or other alternatives.
I wrote lecture notes for a beginning graduate course on number theory. You  can find these notes here. The topics
of these notes are more or less the same as for this course, but the  treatment is slightly more advanced. In the
course we will follow the text book. Nonetheless, you may profit  from reading my notes alongside.

ASSIGNMENTS (Vanden Eynden):
                                  Tues, June 30:   0:1-10; 1.1: 1-5, 15-18, 20-30; 1.2: 6, 8, 10, 13-16, 22-24, 28-32; 1.3: 1-8, 21-22;
                                                           1.4: 1-19.
                                  Tues, July 07:     1.5: 5-8, 15-18, 25-28, 43-46; 1.6: 7, 8, 16, 17, 34, 37, 52, 59; 2.1: 3, 6, 7, 8, 12,
                                                           14, 18, 33, 39, 41; 2.2: 2, 4, 8, 12, 13, 14, 19, 20, 21, 24, 27.

EXAMS PLANNED (may be modified in class): 
                                   Thurs, July 16: Midterm 1. Sections 0 through 2.3.
                                   Thurs, July 30: Midterm 2. Sections 2.4 through 3.5
                                   Thurs, Aug 13: Final (in class), 15:30-17:50. All. (Except 3.6 and Lame in 4.4)


Teaching 2020-2021:

Starting this Fall:  NUMBER THEORY ::
Here is a flyer and three months of free lecture notes  for a new
ly designed course in number theory.
This a sequence of two courses MTH 449/549 and MTH 410/510 (fall 2020 and winter 2021). The
material is intended to give a general overview of all branches of number theory with an emphasis on
more geometric proofs. In due course, we hope to follow this up with a final course
discussing some of the many applications of number theory.

Starting this Fall:  DYNAMICAL SYSTEMS ::
Here is a flyer for my advanced course in dynamical systems MTH 621/2/3. The emphasis this year
will be on surveying the wide range of this branch of mathematics and its applications, rather than
probing deep theorems.
We will use a great -- and very accessible -- text written by an eminent
mathematician plus some  other resources to be determined during the course.

Spring 2021:  DIRECTED NETWORKS ::
Here is a flyer containing references to freely available lecture notes for this newly designed course  
describing theory and applications of directed graphs (MTH 610, spring 2021). This is a very current area with
applications from data science to flocking, finance, chemical networks and others. In spite of its current
good textbooks are still very rare. So we developed our own course, and are writing a textbook
based on this course.


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.