a) Peer-reviewed

Peer-reviewed 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 stand-alone project has been published in internationally well-known 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 stand-alone 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/0000-0002-4258-6455

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 p-class field towers
(delivered at the 1st International Colloquium of Algebra, Number Theory, Cryptography and Information Security (ANCI), Taza, November 2016)
p-Capitulation over number fields with p-class rank two
(presented at the 2nd International Conference on Groups and Algebras (ICGA), Suzhou, July 2016)
Three stage towers of 5-class fields
(intended for the 18th Postgraduate Group Theory Conference (PGTC), Imperial College London, June 2016)

Annihilator ideals of two-generated metabelian p-groups

Criteria for three-stage towers of p-class fields

New number fields with known p-class tower
(presented at the 22nd Czech and Slovak International Conference on Number Theory (CSICNT), Liptovský Ján, September 2015)

Periodic sequences of p-class 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 p-groups
Index-p abelianization data of p-class tower groups
(delivered at the 29th Journées Arithmétiques (JA), Debrecen, July 2015)
Periodic bifurcations in descendant trees of finite p-groups

Principalization of 2-class groups of type (2,2,2)
with coauthors A. Azizi, A. Zekhnini, and M. Taous

3-class field towers of exact length 3
with coauthor Michael R. Bush

My modern tetralogy:
The distribution of second p-class groups on coclass graphs
Principalization algorithm via class group structure
Transfers of metabelian p-groups
The second p-class group of a number field

Quadratic p-ring spaces for counting dihedral fields

b) Non peer-reviewed

Non peer-reviewed 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 p-groups G with G/G'≅(p,p)
Power-commutator presentations for infinite sequences of 3-groups

(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 Leedham-Green and Newman

c) Stand-alone publications

Stand-alone 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)
P-group 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 3-class rank 1:
3-class groups of type (3);
(d.2.2)
Discriminants of biquadratic fields with 3-class rank 2:
3-class groups of type (3,3);
Position of second 3-class groups on coclass graph G(3,1):
Second 3-class group <9,2>;
Second 3-class group <81,9>;
Second 3-class group <729,95>;
Position of second 3-class groups on coclass graph G(3,2):
Second 3-class group <729,37>;
Second 3-class group <729,34>;
(d.2.3)
Negative quadratic discriminants of fields with 3-class rank 3,
giving rise to 3-class field towers of infinite length:
3-class groups of rank 3,
3-class groups of type (3,3,3).
(d.2.4)
Negative quadratic discriminants of fields with 3-class rank 2:
3-class groups of rank 2,
3-class groups of type (3,3);
Position of second 3-class groups on coclass graph G(3,2):
Sporadic second 3-class groups outside of coclass trees,
Periodic second 3-class groups on coclass trees;
3-class field towers of length 2:
Principalization types D.5, D.10,
Principalization type D.10,
Principalization type D.5;
3-class 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;
3-class 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 prime-generating sequence:
Sequence of first differences,
Subsequence of actual primes.