J. J. P. Veerman
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Papers starting 1985
Papers starting 1995
Papers starting 2005
Papers starting 2015
Papers starting 2020
Papers starting 2025
Research seminar series at Portland State University (2005, 2006, 2010, 2011)
Research seminar series at Rockefeller University (1996, 1997, 2008, 2009)
Online Encyclopedia of Integer Sequences (OEIS): my own entries: A384639, A387066, A387067, A387068.
In addition, my work is cited in 6 other entries of the OEIS:
A001850, A006506, A103627, A103626, A191779, A327620.
A book on Number Theory: "Numbers from all Angles"
See also Google Scholar under JJP
Veerman
A language page.
RESEARCH:
I have designed two
new courses that I am very
excited to teach. Please, ask me about this material.
NUMBERS FROM ALL ANGLES:
I wrote the text for a course covering an
introduction to several areas of number theory.
Here is the flyer for the
full year course. The course 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.
With that, I aim for a wholly new approach in the
teaching of graduate courses in Number
Theory. The book "Numbers from All Angles" is
based on this new approach and is a
thoroughly corrected, rewritten, and expanded
version of the notes. It has been
published by Springer
Nature. You can find the preface and
contents here.
AN OVERVIEW OF CLASSICAL GRAPH THEORY:
I am writing a general 2-term graduate
text highlighting main currents in the study
and applications of undirected graphs. Again, the
emphasis is on establishing
connections with other areas of mathematics.
Current chapter titles are:
Graphs in Surfaces; Graph Colorings; Spectral
Methods: Basics; Spectral Methods:
Fiedler and Cheeger; Probabilistic Methods;
Algebraic Methods. Connections with
topology, linear algebra, abstract algebra, and
analysis are made explicit and explore.
There will be about 10 appendices, each exploring
an exciting aspect, that would, however,
distract from the main narrative if delivered
within the main text.
LAPLACIAN dYNAMICS IN 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. This is
esentially a slightly more
specialized course, following up on the previous book.
I expect to finish the writing
in 2028 or before.
NOTE:
Nothing is perfect, and so I expect errors.
I appreciate if you report errors and welcome
constructive criticism.
You can find my email at the top of this page.