Open PhD positions!

Applications are invited for Ph.D. positions at the School of Computer Science (SCS), Reykjavik University (RU), funded by a project grant from the Icelandic Research Fund, under the direction of Michael Albert (University of Otago), Anders Claesson (University of Strathclyde) and Henning Ulfarsson (Principal investigator, Reykjavik University). See PhD positions fall 2014 for details.

Publications and preprints

• Sorting and preimages of pattern classes
  With Anders Claesson
• Which Schubert varieties are local complete intersections?
  To appear in The Proceedings of the London Mathematical Society (2013)
  With Alexander Woo
• Restricted non-separable planar maps and some pattern avoiding permutations
  To appear in Discrete Applied Mathematics (2012)
  With Sergey Kitaev, Pavel Salimov and Christopher Severs
• Describing West-3-stack-sortable permutations with permutation patterns
  Séminaire Lotharingien de Combinatoire, Volume 67 (2012), Article B67d
• Refined inversion statistics on permutations
  Electronic Journal of Combinatorics, Volume 19 (2012)
  With Joshua Sack
• A unification of permutation patterns related to Schubert varieties
  Pure Mathematics and Applications Volume 22 (2011) Issue No. 2
• Word-representability of line graphs
  Open Journal of Discrete Mathematics, Volume 1, Number 2 (2011)
• Very twisted stable maps
  Communications in Analysis and Geometry, Volume 18, Number 4. (2010)

Programs

• BiSC: An algorithm for discovering mesh patterns
• Algorithms computing the preimages of sorting operators

Notes

• Ultra-quick tutorial for generalized pattern macros: pdf, source (where the macros are). These macros are based on the original mesh pattern macro written by Anders Claesson