Our Mission:
1. To advance Austrian science
to the forefront
of international research
and to stabilize this position.
2. To strengthen cooperation
with international research centers:

Université Mohammed Premier,
Oujda, Morocco

Australian National University,
Canberra, New South Wales

Washington and Lee University,
Lexington, Virginia, USA

Aichi University of Education,
Nagoya, Japan

University of Calgary,
Alberta, Canada
International Conferences:
January 13  15, 2018:
3rd International Conference
on Groups and Algebras
ICGA 2018, Sanya, China
Invited Lecture:
Deep Transfers
of pClass Tower Groups

Progressive Innovations and
Outstanding Scientific Achievements:

Coperiodicity Isomorphisms between coclass forests
arising from infinitely repeated Multifurcations

Artin Limit Patterns for the
Successive Approximation
of the stages of pclass towers and their Galois groups

Fork Topologies
on Structured Descendant Trees and
quantitative measures of Pattern Search Complexity

Fundamental Principles:

Polarization principle

Mainline principle

Monotony principle
Background of Scientific Applications:
Marius Sophus Lie, December 17, 1842, Nordfjordeid  February 2, 1899, Kristiania (Oslo)
Continuous transformation group  Lie group, Tangent space at the identity  Lie algebra
Galilei transformation group → Classical mechanics in Euclidean 3space
Lorentz transformation group → Relativistic mechanics in Minkowski 4space

space  time  translations

proper orthochronous transformations

rotations in Euclidean 3subspace

spatial reflection, time inversion

combined space  time  inversion
Aims of Current Research:
Symmetry groups → Noether Theorem: conservation laws for observables
Poincaré group, Killing groups → General relativity
Maxwell, Feynman: Quantum Electro Dynamics (QED), Quantum Field Theories
Gauge invariance, nonabelian Yang  Mills theory → Quantum Chromo Dynamics (QCD)

Spectral class O Stars: Theta1 Orionis C1 (Trapezium Cluster)

Luminous Blue Variables: Deneb, Eta Carinae, PCygni, LMC: SDoradus

WolfRayet Stars: Gamma Velorum, LMC: R136a1

White Dwarf Stars: Sirius B, Prokyon B (Chandrasekhar limit)

Neutron Stars, Pulsars, Magnetars: RX J1856 (Tolman  Oppenheimer  Volkoff limit)

Quark Stars: no proven example is known currently

Black Holes: Cygnus X1

Supermassive Black Holes in Galactic Centers: Milky Way, Andromeda Galaxy
Publications:
Successive approximation of pclass towers
Deep transfers of pclass tower groups
Modeling rooted intrees by finite pgroups
Recent progress in determining pclass field towers


Principal Investigator and
Project Leader of several
International Scientific Research Lines:
