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 prime-generating sequence
Our research highlights:
Our scientific discussions:
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Outstanding Scientific Achievements
2014: Principalization of 2-class groups of type (2,2,2) of biquadratic fields
(in cooperation with A. Azizi, A. Zekhnini, and M. Taous, Morocco)
2013: 3-class field towers of exact length 3
(with coauthor M. R. Bush, WLU, USA)
2012: The first p-class towers of length 3 for an odd prime p
(in cooperation with M. R. Bush, Lexington, Virginia)
2012: Quadratic p-ring spaces for counting dihedral fields
2011: Second 3-class groups of all 1146 quadratic fields
of type (9,3) in the range from -106 to 107 of discriminants
2011: The distribution of second p-class groups
on coclass graphs
2010: Transfers of metabelian p-groups
2010: The second p-class group of a number field
2010: Second 3-class groups of all 4596 quadratic fields
of type (3,3) in the range from -106 to 107 of discriminants
2009: Principalization algorithm via class group structure
2001: Principal factorizations of all 827600 pure cubic fields
with normalized radicands up to 106
1993: Discriminants of metacyclic fields
1992: Multiplicities of dihedral discriminants
for quadratic base fields with modified p-rank 2
1991: Classification of dihedral fields
1990: Multiplicities of dihedral discriminants
for quadratic base fields with modified p-rank 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
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Trade, Science, Art and Industry
Principal investigator of the
International Research Project
Towers of p-Class Fields
over Algebraic Number Fields
supported by the Austrian Science Fund (FWF):
P26008-N25
Time Schedule:
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