Contact
FB 12 / Mathematik und Informatik
PhilippsUniversität Marburg
HansMeerweinStraße / Lahnberge
35032 Marburg
Email: pako(at)mathematik.unimarburg.de [(at)=@]
Tel.: + (49) (6421) 2825468
Office: MZG, 08A05
Office Hours
open door policy
Research interests
The main focus of my research lies in the interplay of analysis, geometric structures
on manifolds and topology:
 I am studying geometric structures on biquotients. Especially I
am interested which biquotients admit an almost complex structure or even a
Kähler structure. Moreover I try to compute the topological real and complex
Ktheory of those spaces.
 In another project I try to obtain a residue formula for singular symplectic
reductions on general symplectic manifolds. A longterm aim is to compute
the cohomology rings of such reductions (e.g. of Nakajima varieties) imitating
Kirwan's approach.

Furthermore I am interested on topological properties of lowdimensional manifolds endowed
with geometric structures (like irreducible SO(3)Structures on manifolds of dimension 5 and 7).
Related to that are the question of classifying vector bundles over
manifolds with "nice" geometric invariants.
Publications
 Almost complex structures on connected sums of complex projective spaces,
Oliver Goertsches, Panagiotis Konstantis, (arXiv), submitted
 The Hopf problem on the (non)existence of complex structures on S^6,
Ilka Agricola, Giovanni
Bazzoni, Oliver Goertsches, Panagiotis Konstantis, Sönke Rollenske,
to appear in Differential Geometry and its Applications (arXiv)
 Almost complex structures on spheres,
Panagiotis Konstantis, Maurizio Parton,
to appear in Differential Geometry and its Applications (arXiv)
 Singular oscillatory
integrals in equivariant cohomology. Residue formulae for basic
differential forms on general symplectic manifolds,
Panagiotis Konstantis, Benjamin Küster, Pablo Ramacher, in preperation (arXiv)
 A note on the topology of irreducible SO(3)manifolds,
Panagiotis Konstantis (arXiv), to appear in Topology and Its Applications
 A classification of isometry groups of homogeneous 3manifolds,
Panagiotis Konstantis, Frank Loose,
Math. Nachr. 289, No. 13, 16481664 (pdf)
 Bianchi's classification of 3dimensional Lie algebras revisited,
Manuel Glas, Panagiotis Konstantis, Achim Krause, Frank Loose (arXiv)