

a) Peerreviewed
Peerreviewed Publications
I pay a lot of attention to various strategies of dissemination
of my scientific research results:
Journals, Academic Networks, Web Site, Preprints, Conference Presentations and Posters.
(a.1)
Journals:
My modern tetralogy which provides the foundations of the present standalone project
has been published in internationally wellknown journals:
Monatshefte für Mathematik (MOFM) by Springer,
the International Journal of Number Theory (IJNT) by World Scientific Publishing, Singapore,
and the Journal de Théorie des Nombres de Bordeaux (JTNB) by CEDRAM.
My recent trilogy which extends the scope of the present standalone project
has been published in Special Issues on Group Theory and Number Theory
of Advances in Pure Mathematics (APM) by Scientific Research Publishing (SciRP), Wuhan, China.
(a.2)
Academic Networks:
My publications can be identified uniquely by means of my ORCID identifier:
orcid.org/0000000242586455
Important works of my entire academic carreer are listed at
ORCID,
and can be downloaded from
Research Gate,
Academia,
and, in particular, from the
arXiv (Cornell University Library)
Recent progress in determining pclass field towers
(delivered at the 1st International Colloquium of Algebra, Number Theory, Cryptography and Information Security (ANCI), Taza, November 2016)
pCapitulation over number fields with pclass rank two
(presented at the 2nd International Conference on Groups and Algebras (ICGA), Suzhou, July 2016)
Three stage towers of 5class fields
(intended for the 18th Postgraduate Group Theory Conference (PGTC), Imperial College London, June 2016)
Annihilator ideals of twogenerated metabelian pgroups
Criteria for threestage towers of pclass fields
New number fields with known pclass tower
(presented at the 22nd Czech and Slovak International Conference on Number Theory (CSICNT), Liptovský Ján, September 2015)
Periodic sequences of pclass tower groups
(presented at the 1st International Conference on Groups and Algebras (ICGA), Shanghai, July 2015)
All three parts of my most recent trilogy
(extending the modern tetralogy below):
Artin transfer patterns on descendant trees of finite pgroups
Indexp abelianization data of pclass tower groups
(delivered at the 29th Journées Arithmétiques (JA), Debrecen, July 2015)
Periodic bifurcations in descendant trees of finite pgroups
Principalization of 2class groups of type (2,2,2)
with coauthors A. Azizi, A. Zekhnini, and M. Taous
3class field towers of exact length 3
with coauthor Michael R. Bush
My modern tetralogy:
The distribution of second pclass groups on coclass graphs
Principalization algorithm via class group structure
Transfers of metabelian pgroups
The second pclass group of a number field
Quadratic pring spaces for counting dihedral fields
b) Non peerreviewed
Non peerreviewed Publications
(b.1)
Preprints:
Uniform triadic transformations as viewed from group theory
Prélude en la majeur
Complex quadratic fields of type (3,3,3)
Strategy of pattern recognition via Artin transfers
Normal lattice of certain metabelian pgroups G with G/G'≅(p,p)
Powercommutator presentations for infinite sequences of 3groups
(b.2)
Conference Presentations:
1st International Colloquium of Algebra, Number Theory, Cryptography and Information Security (ANCI) 2016
2nd International Conference on Groups and Algebras (ICGA) 2016
22nd Czech and Slovak International Conference on Number Theory (CSICNT) 2015
1st International Conference on Groups and Algebras (ICGA) 2015
29ièmes Journées Arithmétiques (JA) 2015
West Coast Number Theory (WCNT) 2013
ÖMG and DMV Congress 2013
Groups St Andrews 2013
(b.3)
Conference Posters:
The Coclass Project by LeedhamGreen and Newman
c) Standalone publications
Standalone publications
d) Publications for the general public and other publications
(d.1)
Contributions to Wikipedia
(d.1.1)
Descendant tree (group theory).
(d.1.2)
Artin transfer (group theory).
(d.1.3)
Principalization (algebra).
(d.1.4)
Pgroup generation algorithm.
(d.1.5)
Induced homomorphism (quotient group).
(d.2)
Contributions to the Online Encyclopedia of Integer Sequences (OEIS)
(d.2.1)
Positive quadratic discriminants of fields with 3class rank 1:
3class groups of type (3);
(d.2.2)
Discriminants of biquadratic fields with 3class rank 2:
3class groups of type (3,3);
Position of second 3class groups on coclass graph G(3,1):
Second 3class group <9,2>;
Second 3class group <81,9>;
Second 3class group <729,95>;
Position of second 3class groups on coclass graph G(3,2):
Second 3class group <729,37>;
Second 3class group <729,34>;
(d.2.3)
Negative quadratic discriminants of fields with 3class rank 3,
giving rise to 3class field towers of infinite length:
3class groups of rank 3,
3class groups of type (3,3,3).
(d.2.4)
Negative quadratic discriminants of fields with 3class rank 2:
3class groups of rank 2,
3class groups of type (3,3);
Position of second 3class groups on coclass graph G(3,2):
Sporadic second 3class groups outside of coclass trees,
Periodic second 3class groups on coclass trees;
3class field towers of length 2:
Principalization types D.5, D.10,
Principalization type D.10,
Principalization type D.5;
3class field towers of length 3:
Principalization types E.6, E.14, E.8, E.9,
Excited states of type E.6,
Excited states of type E.14,
Excited states of type E.8,
Excited states of type E.9;
3class field towers of unknown length:
Principalization type H.4*,
Principalization type G.19,
Excited states of type H.4,
Excited states of type G.16.
(d.2.5)
Clusters of squarefree integers with fixed number of prime divisors:
(d.2.5.1)
Triplets:
increasing number of primes.
(d.2.5.2)
Sextets with central gap:
increasing number of primes;
two primes,
three primes,
four primes,
five primes.
(d.2.6)
Sequences associated with Eric S. Rowland's primegenerating sequence:
Sequence of first differences,
Subsequence of actual primes.


