
Title: Research Fellow
Address:
Department of Mathematics and Statistics,
Phone: +61 (03) 834 41798
Room: G02, MASCOS
Email: N.Witte@ms.unimelb.edu.au
Group: Statistical Mechanics & Combinatorics 
Research Interests:
Analysis
 42C05 orthogonal functions and polynomials, general theory,
 33C45 orthogonal polynomials and functions of hypergeometric type,
 30E05, 44A60 moment problems,
 30B70 continued fractions,
 65R10, 65R20 integral transforms and integral equations,
 35Q15 RiemannHilbert problems,
 34E05, 35C20 asymptotic expansions,
 34A34 nonlinear differential equations and systems, general,
 34A05 explicit solutions of differential equations and reductions,
Integrable Systems
 34M55 Painlevé and other special equations, classification, hierarchies, and isomonodromic deformation,
 33E17 Painlevétype functions,
 58F07 completely integrable systems,
Combinatorics
 05A15 exact enumeration problems, generating functions,
 05E10 Tableaux, representations of the symmetric group,
 05E15 symmetric functions,
Probability Theory
 60E05 distributions, general theory,
 60E10 characteristic functions,
 60F05 central limit and other weak theorems,
 15A52 random matrices,
 60K35 Interacting random processes; statistical mechanics type models,
 82C22 interacting particle systems,
Mathematical Physics
 81T25 quantum field theory on lattices,
 82B10 quantum equilibrium statistical mechanics,
 82B23 exactly solvable models,
 82B26, 82B27 phase transitions and critical phenomena
Spectral Theory
 47A75, 58F19 eigenvalue and spectral problems,
 47A10 spectrum, resolvent,
 81U40 inverse scattering problems,
Representation Theory
 20F55 Reflection and Coxeter groups,
Mathematical Papers: Reverse chronological list of pdf files.
Teaching:
2003 620007 AMSI Random Matrix Theory.
2003 620113 Continued Fractions.
2007 620113 Explorations in Number Theory.
AMSI/CoE Workshop August 2004 Integrable Systems, Rigorous Asymptotics and Applications.
MASCOS/AMSI Workshop 8 August 2005 Integrable Day 2005.