J. J. P. Veerman

Director of Complex Systems

Professor of Mathematics

Professor of Complex Systems

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.

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RESEARCH:

My short bio can be found here and a description of some of my research can be found 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. On occasion,
I will even embark on projects that are completely new to me.

Interested students can consult the links given in this website to my papers, lecture
notes, and course information. If after that you are still interested to do research with
me, please, get in touch with me (through my email given above).

Beside mathematics and physics, I am very interested to interested in strongly
interdisciplinary projects.

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I have designed two new courses that I am very
excited to teach. Please, ask me about this material.

NUMBER THEORY:
I am writing an ambitious set of notes covering an introduction to several areas of number
theory. Here is the flyer for the full year course. It is designed to emphasize connections
with other areas of mathematics such as analysis, algebra and complex analysis, as well
as to make some classical results accessible to a wider audience of non-specialists.

DIRECTED NETWORKS:
In the summer of 2019, I participated in a summer school in Italy where I gave a mini-course
on the theory of directed graphs. This resulted in the design of the 1 or 2 trimester course
"Directed Networks". Here is the flyer for the course. Some of the material has been worked
into slides: see part 1, part 2, part 3, and part 4.

NOTE:
All this material is "work in progress"; expect errors and other shortcomings.
I appreciate if you report errors and welcome constructive criticism.
You can find my email at the top of this page.

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SYSTEM SCIENCE:

I am starting in my new function as Director of System Science. My intent is to promote
and help strongly interdisciplinary practices in research and teaching. If you are interested
in System Science as faculty, instructor, or student, or any other way, please, feel free to
contact me at the above email.

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TEACHING

Statements for all classes:

Here are links to DRC, Title IX, and Zoom-FERPA statements. All these statements are valid
for all courses/classes. Here is a series of slides outlining student resources in the DRC and
more extensive listing can be found here.
Please learn about and use the many campus resources available to you via PSU's I Am A
Student website: https://www.pdx.edu/student. These resources are made possible by your
tuition and fees.

Homework and Exam 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)!
IMPORTANT 3: While I actively encourage collaboration among students and may assign
                              take home exams on which you are allowed to collaborate:
                                    you must write your own exam yourself in your own words !!!
                              Copying, or even using something else as a template for your answers, is plagiarism
                              and will receive no credit whatsoever.
IMPORTANT 4: Homeworks are due on the day for which they are assigned,
                             at the beginning of class, and on paper.
                             Homeworks more than 10 minutes late will not be accepted, unless for valid reason
                             (medical must be accompanied by doctor's attest).

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Teaching 2023-2024:

FALL: MTH 421/521: Theory of Ordinary Differential Equations I:

WINTER: MTH 421/521: Theory of Ordinary Differential Equations I:

SPRING: SYSC 452/552: Game Theory.
You can find the syllabus and a flyer here. We meet in FMH B128 from 16.40 to 18.30 on Monday
and Wednesday. Office hours will be 18.30 to 19.00 immediately after class, or by appointment.

GRADING KEY: Homework ?, in-class perf. ?, three in-person tests (including the final), each ?.

MIDTERMS AND FINAL: No Book. No Calculator or Computer. No Notes. No book. Pen and White Paper Only.
Final:

HOME WORK ETC:
          Mon, Apr 08: 1) Read paper, look at strategies plus scoreboard.
                                2) Describe a strategy that beats TfT in the Prisoner's Dilemma. Explain why it beats TfT?
                                   What are the constraints (play once, play 50 times, play infinitely often, etc). 1 page.
        Mon, Apr 15: 1) Write the proof that in the Prisoner's Dilemma, TfT cannot be successfully invaded
                                    by a single invader if w is large enough.
                                    For Grad students (under grad for extra credit), do this for the general case in which
                                   T, R, P, S satisfy the PD rules.
2) OR: Work out a sociological example of invasion translated into game theoretical language
                                    (such as Bryttani's example about religion.)
          Mon, Apr 22: This week I am traveling. There will be no class on Mon and a guest lecture on Wedn.
                                  NOTE: use more than 1 page for HW if appropriate.
                                 1) Not every one agrees with Axelrod's analysis on trench warfare. Comment on
                                     Gelman's critique. How does he change the pay-off matrix? Give example.


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Other General Announcements for Students:

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In most of my classes you will be either strongly encouraged, or even obliged
(graduate students) to turn in your HW in *.pdf format based on LATEX.
Here is a website where LATEX is explained:
http://www.ctan.org/tex-archive/info/Math_into_LaTeX-4/

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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.