Professor Ole Warnaar
Professor

Ole Warnaar

Email: 
Phone: 
+61 7 336 53487

Availability

Professor Ole Warnaar is:
Available for supervision

Fields of research

Pure mathematics

Qualifications

  • Masters (Coursework), Leiden University
  • Doctor of Philosophy, University of Amsterdam

Search Professor Ole Warnaar’s works on UQ eSpace

81 works between 1965 and 2023
All (81) Journal Article (69) Book Chapter (2) Conference Publication (8) Other Outputs (1) Edited Outputs (1)

41 - 60 of 81 works

2005

Journal Article

Summation formulae for elliptic hypergeometric series

Warnaar, S. O. (2005). Summation formulae for elliptic hypergeometric series. Proceedings of the American Mathematical Society, 133 (2), 519-527. doi: 10.1090/S0002-9939-04-07558-6

Summation formulae for elliptic hypergeometric series

2004

Journal Article

The Bailey Lemma and Kostka Polynomials

Warnaar, S. O. (2004). The Bailey Lemma and Kostka Polynomials. Journal of Algebraic Combinatorics, 20 (2), 131-171. doi: 10.1023/B:JACO.0000047280.16877.1f

The Bailey Lemma and Kostka Polynomials

2004

Journal Article

On the q-analogue of the sum of cubes

Warnaar, S. Ole (2004). On the q-analogue of the sum of cubes. The Electronic Journal of Combinatorics, 11 (1), N13-1-N13-2.

On the q-analogue of the sum of cubes

2003

Journal Article

Extensions of the well-poised and elliptic well-poised Bailey lemma

Warnaar, S. O. (2003). Extensions of the well-poised and elliptic well-poised Bailey lemma. Indagationes Mathematicae, 14 (3-4), 571-588. doi: 10.1016/S0019-3577(03)90060-7

Extensions of the well-poised and elliptic well-poised Bailey lemma

2003

Journal Article

The generalized borwein conjecture. II. Refined q-trinomial coefficients

Warnaar, S. O. (2003). The generalized borwein conjecture. II. Refined q-trinomial coefficients. Discrete Mathematics, 272 (2-3), 215-258. doi: 10.1016/S0012-365X(03)00047-5

The generalized borwein conjecture. II. Refined q-trinomial coefficients

2003

Journal Article

Partial Theta Functions. I. Beyond the Lost Notebook

Warnaar, S. O. (2003). Partial Theta Functions. I. Beyond the Lost Notebook. Proceedings of the London Mathematical Society, 87 (2), 363-395. doi: 10.1112/S002461150201403X

Partial Theta Functions. I. Beyond the Lost Notebook

2002

Journal Article

Partial-sum analogues of the Rogers-Ramanujan identities

Warnaar, S. O. (2002). Partial-sum analogues of the Rogers-Ramanujan identities. Journal of Combinatorial Theory, Series A, 99 (1), 143-161. doi: 10.1006/jcta.2002.3266

Partial-sum analogues of the Rogers-Ramanujan identities

2002

Journal Article

Hyp

Warnaar, S. O. (2002). Hyp. Australian Mathematical Society Gazette, 29 (5), 277-279.

Hyp

2002

Journal Article

Summation and transformation formulas for elliptic hypergeometric series

Warnaar, S. O. (2002). Summation and transformation formulas for elliptic hypergeometric series. Constructive Approximation, 18 (4), 479-502. doi: 10.1007/s00365-002-0501-6

Summation and transformation formulas for elliptic hypergeometric series

2002

Conference Publication

Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma

Schilling , A. and Warnaar, S. O. (2002). Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma. Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory, Charlottesville, Virginia, USA, 23 - 27 may 2000. American Mathematical Society.

Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma

2001

Journal Article

Refined q-trinomial coefficients and character identities

Warnaar, SO (2001). Refined q-trinomial coefficients and character identities. Journal of Statistical Physics, 102 (3-4), 1065-1081. doi: 10.1023/A:1004827709169

Refined q-trinomial coefficients and character identities

2001

Conference Publication

50 years of Bailey's lemma

Warnaar, SO (2001). 50 years of Bailey's lemma. Euroconference on Algebraic Combinatorics and Applications (Alcoma99), Grossweinstein Germany, Sep 12-19, 1999. BERLIN: SPRINGER-VERLAG BERLIN.

50 years of Bailey's lemma

2000

Conference Publication

A generalization of the q-Saalschutz sum and the Burge transform

Schilling, A and Warnaar, SO (2000). A generalization of the q-Saalschutz sum and the Burge transform. Workshop on Physical Combinatorics, Kyoto Japan, Feb 01-02, 1999. CAMBRIDGE: BIRKHAUSER BOSTON.

A generalization of the q-Saalschutz sum and the Burge transform

1999

Journal Article

An A(2) Bailey lemma and Rogers-Ramanujan-type identities

Andrews, GE, Schilling, A and Warnaar, SO (1999). An A(2) Bailey lemma and Rogers-Ramanujan-type identities. Journal of the American Mathematical Society, 12 (3), 677-702. doi: 10.1090/S0894-0347-99-00297-0

An A(2) Bailey lemma and Rogers-Ramanujan-type identities

1999

Journal Article

q-trinomial identities

Warnaar, SO (1999). q-trinomial identities. Journal of Mathematical Physics, 40 (5), 2514-2530. doi: 10.1063/1.532880

q-trinomial identities

1999

Journal Article

Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomials

Schilling, A and Warnaar, SO (1999). Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomials. Communications in Mathematical Physics, 202 (2), 359-401. doi: 10.1007/s002200050586

Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomials

1998

Journal Article

A note on the trinomial analogue of Bailey's lemma

Warnaar, SO (1998). A note on the trinomial analogue of Bailey's lemma. Journal of Combinatorial Theory Series a, 81 (1), 114-118. doi: 10.1006/jcta.1997.2830

A note on the trinomial analogue of Bailey's lemma

1998

Journal Article

A higher level Bailey lemma: Proof and application

Schilling, A and Warnaar, SO (1998). A higher level Bailey lemma: Proof and application. Ramanujan Journal, 2 (3), 327-349. doi: 10.1023/A:1009746932284

A higher level Bailey lemma: Proof and application

1998

Journal Article

Supernomial coefficients, polynomial identities and q-series

Schilling, A and Warnaar, SO (1998). Supernomial coefficients, polynomial identities and q-series. Ramanujan Journal, 2 (4), 459-494. doi: 10.1023/A:1009780810189

Supernomial coefficients, polynomial identities and q-series

1997

Journal Article

Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries

OBrien, DL, Pearce, PA and Warnaar, SO (1997). Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries. Nuclear Physics B, 501 (3), 773-799. doi: 10.1016/S0550-3213(97)00424-0

Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries

Past funding

  • 2021 - 2024
    Towards logarithmic representation theory of W-algebras
    ARC Discovery Projects
    Open grant
  • 2017 - 2023
    Symmetric functions and Hodge polynomials
    ARC Discovery Projects
    Open grant
  • 2016 - 2019
    Discrete Selberg integrals
    UQ Fellowships
    Open grant
  • 2014 - 2016
    Elliptic special functions
    ARC Discovery Projects
    Open grant
  • 2011 - 2016
    The Mukhin-Varchenko and Rogers-Ramanujan conjectures
    ARC Discovery Projects
    Open grant
  • 2009 - 2011
    Polynomial Representations of the Hecke Algebra (ARC Discovery Project administered by the University of Melbourne)
    University of Melbourne
    Open grant
  • 2008 - 2010
    Macdonald Polynomials: Combinatorics and representations
    ARC Discovery Projects
    Open grant

Availability

Professor Ole Warnaar is:
Available for supervision

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Supervision history

Current supervision

Completed supervision

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