Our Mission:
to advance Austrian Science
to the Forefront of International Research
and to stabilize this position.
Our services to the mathematical community:
Our papers and presentations:
Our contributions to Wikipedia:
Our contributions to the OEIS:
Fundamental negative quadratic discriminants
Clusters of squarefree integers
Rowland's primegenerating sequence
Our research highlights:
Our scientific discussions:

Outstanding Scientific Achievements
2014: Principalization of 2class groups of type (2,2,2) of biquadratic fields
(in cooperation with A. Azizi, A. Zekhnini, and M. Taous, Morocco)
2013: 3class field towers of exact length 3
(with coauthor M. R. Bush, WLU, USA)
2012: The first pclass towers of length 3 for an odd prime p
(in cooperation with M. R. Bush, Lexington, Virginia)
2012: Quadratic pring spaces for counting dihedral fields
2011: Second 3class groups of all 1146 quadratic fields
of type (9,3) in the range from 10^{6} to 10^{7} of discriminants
2011: The distribution of second pclass groups
on coclass graphs
2010: Transfers of metabelian pgroups
2010: The second pclass group of a number field
2010: Second 3class groups of all 4596 quadratic fields
of type (3,3) in the range from 10^{6} to 10^{7} of discriminants
2009: Principalization algorithm via class group structure
2001: Principal factorizations of all 827600 pure cubic fields
with normalized radicands up to 10^{6}
1993: Discriminants of metacyclic fields
1992: Multiplicities of dihedral discriminants
for quadratic base fields with modified prank 2
1991: Classification of dihedral fields
1990: Multiplicities of dihedral discriminants
for quadratic base fields with modified prank 1
1989: Differential principal factors and units
in pure cubic number fields
1988: Lattice minima and units
in real quadratic number fields
1985: Sharp bounds for the partition function
of integer sequences



Trade, Science, Art and Industry
Principal investigator of the
International Research Project
Towers of pClass Fields
over Algebraic Number Fields
supported by the Austrian Science Fund (FWF):
P26008N25
Time Schedule:
