Tigran Ishkhanov

Postdoc at Stanford Math. in the group TMSCSCS .

Research

I got my PhD in mathematics in 2003. Currently I work in the field of Computational Topology.

Publications

• PhD Thesis:

  Legendrian knots: equivalence of normal rulings and augmentations of Chekanov-Eliashberg algebra

• Articles (journal and conferences)

  • A Topological Method for Shape Comparison. T. Ishkhanov. [preprint]. Accepted to NORDIA-CVPR 2008.
  • Topological Analysis of Population Activity in Primary Visual Cortex. G. Singh, F. Memoli, T. Ishkhanov, G. Carlsson, G. Sapiro and D. Ringach. Jounal of Vision (March 2008, accepted).
  • On the local behavior of spaces of natural images. G. Carlsson, T. Ishkhanov, V. de Silva, and A. Zomorodian. International Journal of Computer Vision, volume 76, number 1, january 2008, pages 1-12.
  • Invariants of Legendrian knots and decompositions of front diagrams. D Fuchs, T Ishkhanov. Moscow Math. J. 4 (2004), pages 707-717, 783 MR2119145
  • Strategies and Tools for Whole-Genome Alignments. Olivier Couronne, Alexander Poliakov, Nicolas Bray, Tigran Ishkhanov, Dmitriy Ryaboy, Edward Rubin, Lior Pachter and Inna Dubchak. Genome Res. 13, 2003, pages 73-80

• Preprints

• A Topological Analysis of the Space of Natural Images G. Carlsson and T. Ishkhanov.

Interests

t i g r a n @ m a t h . s t a n f o r d . e d u