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)

21 - 40 of 81 works

2010

Journal Article

The sl(3) Selberg integral

Warnaar, S. Ole (2010). The sl(3) Selberg integral. Advances in Mathematics, 224 (2), 499-524. doi: 10.1016/j.aim.2009.11.011

The sl(3) Selberg integral

2009

Journal Article

A Selberg integral for the Lie algebra An

Warnaar, S. Ole (2009). A Selberg integral for the Lie algebra An. Acta Mathematica, 203 (2), 269-304. doi: 10.1007/s11511-009-0043-x

A Selberg integral for the Lie algebra An

2009

Journal Article

Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series

Lascoux, Alain, Rains, Eric. M. and Warnaar, S. Ole (2009). Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series. Transformation Groups, 14 (3), 613-647. doi: 10.1007/s00031-009-9061-1

Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series

2009

Conference Publication

Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture

Langer, Robin, Schlosser, Michael J. and Warnaar, S. Ole (2009). Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture. Workshop on Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions, Bonn, Germany, 21-25 Jul 2008. Kyiv, Ukraine: Natsional'na Akademiya Nauk Ukrainy. doi: 10.3842/SIGMA.2009.055

Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture

2008

Journal Article

The importance of the Selberg integral

Forrester, P. J. and Warnaar, S. O. (2008). The importance of the Selberg integral. Bulletin (New Series) of the American Mathematical Society, 45 (4), 489-534. doi: 10.1090/S0273-0979-08-01221-4

The importance of the Selberg integral

2008

Journal Article

Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric series

Warnaar, S. O. (2008). Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric series. Compositio Mathematica, 144 (02), 271-303. doi: 10.1112/S0010437X07003211

Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric series

2008

Journal Article

On the generalised Selberg integral of Richards and Zheng

Warnaar, S. O. (2008). On the generalised Selberg integral of Richards and Zheng. Advances in Applied Mathematics, 40 (2), 212-218. doi: 10.1016/j.aam.2006.12.002

On the generalised Selberg integral of Richards and Zheng

2008

Conference Publication

The Mukhin-Varchenko conjecture for type A

Warnaar, S. Ole (2008). The Mukhin-Varchenko conjecture for type A. FPSAC 2008: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics, Viña del Mar, Chile, 23-27 June, 2008. Nancy, France: INRIA.

The Mukhin-Varchenko conjecture for type A

2007

Journal Article

Characters of graded parafermion conformal field theory

Fortin, J. F., Mathieu, P. and Warnaar, S. O. (2007). Characters of graded parafermion conformal field theory. Advances in Theoretical and Mathematical Physics, 11 (6), 945-989.

Characters of graded parafermion conformal field theory

2007

Journal Article

Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory

Warnaar, S. O. (2007). Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory. Journal Of Physics A-Mathematical And Theoretical, 40 (40), 12243-12254. doi: 10.1088/1751-8113/40/40/015

Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory

2007

Journal Article

The Bailey transform and false theta functions

Andrews, G. E. and Warnaar, S. O. (2007). The Bailey transform and false theta functions. Ramanujan Journal, 14 (1), 173-188. doi: 10.1007/s11139-006-9006-4

The Bailey transform and false theta functions

2007

Journal Article

The product of partial theta functions

Andrews, G. E. and Warnaar, S. O. (2007). The product of partial theta functions. Advances in Applied Mathematics, 39 (1), 116-120. doi: 10.1016/j.aam.2005.12.003

The product of partial theta functions

2006

Journal Article

Inversions of integral operators and elliptic beta integrals on root systems

Vyacheslav P., Spiridonov, S. and Warnaar, S. O. (2006). Inversions of integral operators and elliptic beta integrals on root systems. Advances in Mathematics, 207 (1), 91-132. doi: 10.1016/j.aim.2005.11.007

Inversions of integral operators and elliptic beta integrals on root systems

2006

Journal Article

Rogers-Szego polynomials and Hall-Littlewood symmetric functions

Warnaar, S. Ole (2006). Rogers-Szego polynomials and Hall-Littlewood symmetric functions. Journal of Algebra, 303 (2), 810-830. doi: 10.1016/j.jalgebra.2006.04.026

Rogers-Szego polynomials and Hall-Littlewood symmetric functions

2006

Journal Article

Hall–Littlewood functions and the A2 Rogers–Ramanujan identities

Warnaar, S. O. (2006). Hall–Littlewood functions and the A2 Rogers–Ramanujan identities. Advances in Mathematics, 200 (2), 403-434. doi: 10.1016/j.aim.2004.12.001

Hall–Littlewood functions and the A2 Rogers–Ramanujan identities

2006

Edited Outputs

Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics

Jan de Gier and Ole Warnaar eds. (2006). Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics. Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics, Dunk Island, Queensland, Australia, 10–15 July 2005.

Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics

2005

Journal Article

A generalization of the Farkas and Kra partition theorem for modulus 7

Warnaar, S. O. (2005). A generalization of the Farkas and Kra partition theorem for modulus 7. Journal of Combinatorial Theory Series A, 110 (1), 43-52. doi: 10.1016/j.jcta.2004.08.008

A generalization of the Farkas and Kra partition theorem for modulus 7

2005

Journal Article

Positivity preserving transformations for q-binomial coefficients

Berkovich, A. and Warnaar, S. O. (2005). Positivity preserving transformations for q-binomial coefficients. Transactions of the American Mathematical Society, 357 (6), 2291-2351. doi: 10.1090/S0002-9947-04-03680-3

Positivity preserving transformations for q-binomial coefficients

2005

Journal Article

q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem

Warnaar, S. O. (2005). q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem. Ramanujan Journal, 8 (4), 467-474. doi: 10.1007/s11139-005-0275-0

q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem

2005

Conference Publication

q-Selberg Integrals and Macdonald Polynomials

Warnaar, S. O. (2005). q-Selberg Integrals and Macdonald Polynomials. Conference on Number Theory and Combinatorics in Physics, Gainesville, Florida, 21-23 Mar 2003. Dordrecht, The Netherlands: Springer. doi: 10.1007/s11139-005-4849-7

q-Selberg Integrals and Macdonald Polynomials

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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