List of Publications


2 P.J. Forrester and S.O. Warnaar
The importance of the Selberg integral

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Accepted for Publication

1 P.J. Forrester and S.O. Warnaar
The importance of the Selberg integral
The Bulletin of the American Mathematical Society.
2 S.O. Warnaar
The Mukhin--Varchenko conjecture for type A
The proceedings of FPSAC08 Chile, Discrete Mathematics and Theoretical Computer Science.
3 S.O. Warnaar
A Selberg integral for the Lie algebra An
Acta Mathematica.

Books

1 J. de Gier and S.O. Warnaar, Editors
Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics
Journal of Physics: Conference Series 42 (2006), 299 pages.

Published Papers

57 S.O. Warnaar
Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric series
Compositio Mathematica 114 (2008), 271-303.
56 S.O. Warnaar
On the generalised Selberg integral of Richards and Zheng
Advances in Applied Mathematics 40 (2008), 212-218.
55 S.O. Warnaar
Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory
Journal of Physics A: Mathematical and Theoretical 40 (2007), 12243-12254.
54 G.E. Andrews and S.O. Warnaar
The Bailey transform and false theta functions
The Ramanujan Journal 14 (2007), 173-188.
53 G.E. Andrews and S.O. Warnaar
The product of partial theta functions
Advances in Applied Mathematics 39 (2007), 116-120.
52 J.-F. Fortin, P. Mathieu and S.O. Warnaar
Characters of graded parafermion conformal field theory
Advances in Theoretical and Mathematical Physics 11 (2007), 945-989.
51 V.P. Spiridonov and S.O. Warnaar
Inversions of integral operators and elliptic beta integrals on root systems
Advances in Mathematics 207 (2006), 91-132.
50 S.O. Warnaar
Rogers-Szegö polynomials and Hall-Littlewood symmetric functions
Journal of Algebra 303 (2006), 810-830.
49 S.O. Warnaar
Hall-Littlewood functions and the A2 Rogers-Ramanujan identities
Advances in Mathematics 200 (2006), 403-434.
48 S.O. Warnaar
q-Selberg integrals and Macdonald polynomials
The Ramanujan Journal 10 (2005), 237-268.
47 S.O. Warnaar
A generalization of the Farkas and Kra partition theorem for modulus 7
Journal of Combinatorial Theory A 110 (2005), 43-52.
46 S.O. Warnaar
Summation formulae for elliptic hypergeometric series
Proceedings of the American Mathematical Society 133 (2005), 519-527.
45 A. Berkovich and S.O. Warnaar
Positivity preserving transformations for q-binomial coefficients
Transactions of the American Mathematical Society 357 (2005), 2291-2351.
44 S.O. Warnaar
q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem
The Ramanujan Journal 8 (2005), 467-474.
43 S.O. Warnaar
The Bailey lemma and Kostka polynomials
Journal of Algebraic Combinatorics 20 (2004), 131-171.
42 S.O. Warnaar
On the q-analogue of the sum of cubes
Electronic Journal of Combinatorics 11 (2004), N13.
41 S.O. Warnaar
Extensions of the well-poised and elliptic well-poised Bailey lemma
Indagationes Mathematicae, New Series 14 (2003), 571-588.
40 S.O. Warnaar
The generalized Borwein conjecture. II. Refined q-trinomial coefficients
Discrete Mathematics 272 (2003), 215-258.
39 S.O. Warnaar
Partial theta functions. I. Beyond the lost notebook
Proceedings of the London Mathematical Society 87 (2003), 363-395.
38 S.O. Warnaar
Hyp
Australian Mathematical Society Gazette 29 (2002), 277-279.
37 S.O. Warnaar
Partial-sum analogues of the Rogers-Ramanujan identities
Journal of Combinatorial Theory A 99 (2002), 143-161.
36 S.O. Warnaar
Summation and transformation formulas for elliptic hypergeometric series
Constructive Approximation 18 (2002), 479-502.
35 A. Schilling and S.O. Warnaar
Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma
Contemporary Mathematics 297 (2002), 227-255.
34 S.O. Warnaar
The generalized Borwein conjecture. I. The Burge transform
Contemporary Mathematics 291 (2001), 243-267.
33 S.O. Warnaar
50 Years of Bailey's lemma
in Algebraic Combinatorics and Applications, pp. 333-347, A. Betten et al. eds., (Springer, Berlin, 2001).
32 S.O. Warnaar
Refined q-trinomial coefficients and character identities
Journal of Statistical Physics 102 (2001), 1065-1081.
31 A. Schilling and S.O. Warnaar
A generalization of the q-Saalschütz sum and the Burge transform
in Physical Combinatorics, pp. 163-183, M. Kashiwara and T. Miwa eds., Progress in Mathematics 191, (Birkhäuser, Boston, 2000).
34 S.O. Warnaar
Supernomial coefficients, Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems
Séminaire Lotharingien de Combinatoire 42 (1999), Art. B42n 22p.
29 S.O. Warnaar
q-Trinomial identities
Journal of the Mathematical Physics 40 (1999), 2514-2530.
28 G.E. Andrews, A. Schilling and S.O. Warnaar
An A2 Bailey lemma and Rogers-Ramanujan-type identities
Journal of the American Mathematical Society 12 (1999), 677-702.
27 A. Schilling and S.O. Warnaar
Inhomogeneous lattice paths, generalized Kostka polynomials and An-1 supernomials
Communications in Mathematical Physics 202 (1999), 359-401.
26 A. Schilling and S.O. Warnaar
Supernomial coefficients, polynomial identities and q-series
The Ramanujan Journal 2 (1998), 459-494.
25 A. Schilling and S.O. Warnaar
A higher level Bailey lemma: proof and application
The Ramanujan Journal 2 (1998), 327-349.
24 S.O. Warnaar
A note on the trinomial analogue of Bailey's lemma
Journal of Combinatorial Theory A 81 (1998), 114-118.
23 D.L. O'Brien, P.A. Pearce and S.O. Warnaar
Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries
Nuclear Physics B 501 [FS] (1997), 773-799.
22 A. Berkovich, B. M. McCoy, A. Schilling and S.O. Warnaar
Bailey flows and Bose-Fermi identities for the conformal coset models (A(1)1)N × (A(1)1)N' / (A(1)1)N+N'
Nuclear Physics B 499 [PM] (1997), 621-649.
21 S.O. Warnaar
The Andrews-Gordon identities and q-multinomial coefficients
Communications in Mathematical Physics 184 (1997), 203-232.
20 A. Schilling and S.O. Warnaar
A higher-level Bailey lemma
International Journal of Modern Physics B 11 (1997), 189-195.
19 D.L. O'Brien, P.A. Pearce and S.O. Warnaar
Finitized conformal spectrum of the Ising model on the cylinder and torus
Physica A 228 (1996), 63-77.
18 S.O. Warnaar
Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer's polynomial identities
Journal of Statistical Physics 84 (1996), 49-83.
17 S.O. Warnaar
Fermionic solution of the Andrews-Baxter-Forrester model. I. Unification of CTM and TBA methods
Journal of Statistical Physics 82 (1996), 657-685.
16 O. Foda, M. Okado and S.O. Warnaar
A proof of polynomial identities of type sl(n)1 ⊗ sl(n)1 / sl(n)2
Letters in Mathematical Physics 37 (1996), 965-986.
15 O. Foda and S.O. Warnaar
A bijection which implies Melzer's polynomial identities: the χ(p,p+1)1,1 case
Letters in Mathematical Physics 36 (1996), 145-155.
14 S.O. Warnaar and P.A. Pearce
A-D-E polynomial and Rogers-Ramanujan identities
International Journal of Modern Physics A 11 (1996), 291-311.
13 U. Grimm and S.O. Warnaar
Yang-Baxter algebras based on the two-colour BWM algebra
Journal of Physics A 28 (1995), 7197-7207.
12 U. Grimm and S.O. Warnaar
Solvable RSOS models based on the dilute BWM algebra
Nuclear Physics B 435 [FS] (1995), 482-504.
11 S.O. Warnaar
Algebraic construction of higher-rank dilute A models
Nuclear Physics B 435 [FS] (1995), 463-481.
10 S.O. Warnaar and P.A. Pearce
Exceptional structure of the dilute A3 model: E8 and E7 Rogers-Ramanujan identities
Journal of Physics A 27 (1994), L891-L897.
9 V.V. Bazhanov, B. Nienhuis and S.O. Warnaar
Lattice Ising model in a field: E8 scattering theory
Physics Letters B 332 (1994), 198-206.
8 S.O. Warnaar, P.A. Pearce, B. Nienhuis and K.A. Seaton
Order parameters of the dilute A models
Journal of Statistical Physics 74 (1994), 469-531.
7 S.O. Warnaar, B. Nienhuis and K.A. Seaton
A critical Ising model in a magnetic field
International Journal of Modern Physics B7 (1993), 3727-3736.
6 S.O. Warnaar and B. Nienhuis
Solvable lattice models labelled by Dynkin diagrams
Journal of Physics A 26 (1993), 2301-2316.
5 B. Nienhuis, S.O. Warnaar and H.W.J. Blöte
Exact multicritical behaviour of the Potts model
Journal of Physics A 26 (1993), 477-493.
4 S.O. Warnaar, B. Nienhuis and K.A. Seaton
New construction of solvable lattice models including an Ising model in a field
Physical Review Letters 69 (1992), 710-712.
3 S.O. Warnaar
A tri-tricritical Potts model
Australian Mathematical Society Gazette 19 (1992), 51-57.
2 S.O. Warnaar, M.T. Batchelor and B. Nienhuis
Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chains
Journal of Physics A 25 (1992), 3077-3095.
1 M.T. Batchelor, B. Nienhuis and S.O. Warnaar
Bethe Ansatz results for a solvable O(n) model on the square lattice
Physical Review Letters 62 (1989), 2425-2428.