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>> Research Groups >> Differential Geometry and Algebraic Topology

There are two weekly seminars, held at the Institute, 3rd floor:

  • Differential Geometry Seminar, Wednesdays, from 10:00 to 12:00.
  • Topology Seminar, Fridays, from 11:00 to 13:00.

Research topics:

  • Topology of algebraic varieties
  • Topological methods in group theory
  • Jump loci for twisted homology
  • Invariants of knots and 3-manifolds
  • Configuration spaces, braids and mapping class groups
  • Combinatorial algebra and topology
  • Spectral theory on hyperbolic manifolds, eta invariants
  • Complex, quaternionic and Riemannian geometry
  • Harmonic maps and morphisms, twistor theory
  • Cut loci, Alexandrov spaces, convex surfaces
  • Infinite dimensional Lie groups and algebras
  • Hopf algebras, quantum groups and Yang-Baxter equations
  • Monoidal and braided categories

Activities:

The members of the group have publications in prestigious international journals, such as: {\em Annals of Math., Duke Math. J., Geom. Topol., Adv. Math., Ann. Scient. Ecole Norm. Sup., J. Algebraic Geom., Proc. London Math. Soc., Math. Ann., J. Funct. Anal., J. Reine Angew. Math., Topology, Trans. Amer. Math. Soc., Int. Math. Res. Not. , Comment. Math. Helv., J. Differential Geom., Comm. Anal. Geom. , Ann. Inst. Fourier, Asterisque, J. Lond. Math. Soc., Comm. Math. Phys., J. Math. Soc. Japan, Adv. Geom., Q. J. Math., J. Algebra, Bull. Lond. Math. Soc., J. Math. Phys., J. Knot Theory Ramifications, J. Pure Appl. Alg., C. R. Math. Acad. Sci. Paris, Ann. Global Anal. Geom.}

Senior members currently supervise Master and Ph.D. theses, and teach courses at foreign and Romanian universities (e.g. University of Bucharest, SNSB).

The research of group members has been and is currently supported by various grants, both national and international. Members of our team are involved in numerous international collaborations through scientific visits and joint research activities.