Professor Omar FODA

Professor

School of Mathematics and Statistics

  • Room: 193
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Algebraic Combinatorics
  • Integrable systems
  • Mathematical Physics
  • Mathematics of string theory
  • Quantum field theory
  • Statistical Mechanics

Research Groups

Recent Publications

  • O. Foda. Off-critical local height probabilities on a plane and critical partition functions on a cylinder. NUCLEAR PHYSICS B, 928, 279-306, 2018. doi: 10.1016/j.nuclphysb.2018.01.011.

  • O. Foda, Jian-Feng Wu. A Macdonald refined topological vertex. Journal of Physics A: Mathematical and Theoretical, 50, 294003 (49pp), 2017. doi: 10.1088/1751-8121/aa7605.

  • O. Foda, K Zarembo. Overlaps of partial Neel states and Bethe states. Journal of Statistical Mechanics - Theory and Experiment, 2016, 023107 (20pp), 2016. doi: 10.1088/1742-5468/2016/02/023107.

  • O. Foda, TA Welsh. Cylindric partitions, W-r characters and the Andrews-Gordon-Bressoud identities. Journal of Physics A: Mathematical and Theoretical, 49, 164004 (37pp), 2016. doi: 10.1088/1751-8113/49/16/164004.

  • Vladimir Belavin, Benoit Estienne, O. Foda, Raoul Santachiara. Correlation functions with fusion-channel multiplicity in W-3 Toda field theory. Journal of High Energy Physics, 2016, 2016. doi: 10.1007/JHEP06(2016)137.

View all

Extra Information

For details of my research interests, please refer to my web page

Past Postgraduate Supervision

Name Thesis title
Alexander CARADOC "On vertex models with domain wall boundary conditions"
Stephen MCATEER "A diagrammatic approach to factorizing F- matrices in XXZ and XXX spin chains."
Michael WHEELER "Free fermions in classical and quantum integrable models."
Matthew ZUPARIC "Integrable systems and gauge theories"

Past MSc Students

Name Project title
David BATT
Zeying CHEN
Michael COUCH "Noether's Theorem and Beyond: Symmetries in Mechanical Systems"
Fiona DRUITT "Hirota’s Direct Method and Sato’s Formalism in Soliton Theory"
Laura HATTAM "Finding Solutions to KP"
James PLUNKETT "An introduction to the algebraic Bethe ansatz"
Gus SCHRADER
Amy SULLIVAN "Inverse scattering solution of KdV equation"
Michael WHEELER "An Introduction To Riemann-Hilbert Problems And Their Applications"
Matthew ZUPARIC "The finite gap solution for the N particle periodic Toda lattice"

Recent Grant History

Year(s) Source Type Title
2014 - 2016 ARC Discovery Integrable Systems in Gauge and String Theories (080082)
2010 - 2012 ARC Discovery Green functions, correlation functions and differential equations

Responsibilities

  • Academic Board member
  • BSc Mathematical Physics Major Coordinator

Committees

  • Math. Sciences Library Users Committee
  • Recruitment and Publicity Committee
  • Strategic Planning Committee