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Professor Ole Warnaar
Professor

Ole Warnaar

Email: 
Phone: 
+61 7 336 53487

Overview

Availability

Professor Ole Warnaar is:
Available for supervision

Fields of research

Qualifications

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

Works

Search Professor Ole Warnaar’s works on UQ eSpace

81 works between 1965 and 2023

1 - 20 of 81 works

2023

Journal Article

The A2 Andrews–Gordon identities and cylindric partition

Warnaar, S. Ole (2023). The A2 Andrews–Gordon identities and cylindric partition. Transactions of the American Mathematical Society Series B, 10 (22), 715-765. doi: 10.1090/btran/147

The A2 Andrews–Gordon identities and cylindric partition

2021

Journal Article

AFLT-type Selberg integrals

Albion, Seamus P., Rains, Eric M. and Warnaar, S. Ole (2021). AFLT-type Selberg integrals. Communications in Mathematical Physics, 388 (2), 735-791. doi: 10.1007/s00220-021-04157-0

AFLT-type Selberg integrals

2021

Journal Article

Bounded Littlewood identities

Rains, Eric M. and Warnaar, S. Ole (2021). Bounded Littlewood identities. Memoirs of the American Mathematical Society, 270 (1317), 1-115. doi: 10.1090/memo/1317

Bounded Littlewood identities

2020

Book Chapter

Elliptic hypergeometric functions associated with root systems

Rosengren, H. and Warnaar, S. O. (2020). Elliptic hypergeometric functions associated with root systems. Encyclopedia of special functions: the Askey-Bateman Project. (pp. 159-186) Cambridge, United Kingdom: Cambridge University Press. doi: 10.1017/9780511777165.007

Elliptic hypergeometric functions associated with root systems

2020

Journal Article

An elliptic hypergeometric function approach to branching rules

Lee, Chul-Hee, Rains, Eric M. and Warnaar, S. Ole (2020). An elliptic hypergeometric function approach to branching rules. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16 142, 1-52. doi: 10.3842/SIGMA.2020.142

An elliptic hypergeometric function approach to branching rules

2017

Journal Article

A Nekrasov–Okounkov formula for Macdonald polynomials

Rains, Eric M. and Warnaar, S. Ole (2017). A Nekrasov–Okounkov formula for Macdonald polynomials. Journal of Algebraic Combinatorics, 48 (1), 1-30. doi: 10.1007/s10801-017-0790-2

A Nekrasov–Okounkov formula for Macdonald polynomials

2016

Journal Article

Fifty years of The Journal of Combinatorial Theory

Barcelo, Helene, Rothschild, Bruce L. and Warnaar, S. Ole (2016). Fifty years of The Journal of Combinatorial Theory. Journal of Combinatorial Theory. Series A, 144 (3), 1-6. doi: 10.1016/j.jcta.2016.06.003

Fifty years of The Journal of Combinatorial Theory

2016

Journal Article

Discrete analogues of Macdonald-Mehta integrals

Brent, Richard P., Krattenthaler, Christian and Warnaar, Ole (2016). Discrete analogues of Macdonald-Mehta integrals. Journal of Combinatorial Theory. Series A, 144, 80-138. doi: 10.1016/j.jcta.2016.06.005

Discrete analogues of Macdonald-Mehta integrals

2016

Journal Article

A framework of Rogers-Ramanujan identities and their arithmetic properties

Griffin, Michael J., Ono, Ken and Warnaar, S. Ole (2016). A framework of Rogers-Ramanujan identities and their arithmetic properties. Duke Mathematical Journal, 165 (8), 1475-1527. doi: 10.1215/00127094-3449994

A framework of Rogers-Ramanujan identities and their arithmetic properties

2015

Journal Article

Hall-Littlewood polynomials and characters of affine Lie algebras

Bartlett, Nick and Warnaar, S. Ole (2015). Hall-Littlewood polynomials and characters of affine Lie algebras. Advances in Mathematics, 285, 1066-1105. doi: 10.1016/j.aim.2015.08.011

Hall-Littlewood polynomials and characters of affine Lie algebras

2015

Journal Article

Constant term identities and Poincaré polynomials

Károlyi, Gyula, Lascoux, Alain and Ole Warnaar, S. (2015). Constant term identities and Poincaré polynomials. Transactions of the American Mathematical Society, 367 (10), 6809-6836. doi: 10.1090/tran/6119

Constant term identities and Poincaré polynomials

2015

Journal Article

A tribute to Dick Askey

Koornwinder, Tom, Van Assche, Walter and Warnaar, Ole (2015). A tribute to Dick Askey. Journal of Approximation Theory, 193, 1-3. doi: 10.1016/j.jat.2015.03.001

A tribute to Dick Askey

2013

Journal Article

Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve

Warnaar, S. Ole (2013). Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve. Journal of Algebraic Combinatorics, 38 (3), 519-526. doi: 10.1007/s10801-013-0423-3

Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve

2013

Journal Article

Srinivasa Ramanujan: Going Strong at 125, Part II

Alladi, Krishnaswami, Ono, Ken, Soundararajan, K., Vaughan, R. C. and Warnaar, S. Ole (2013). Srinivasa Ramanujan: Going Strong at 125, Part II. Notices of the American Mathematical Society, 60 (01), 10-22. doi: 10.1090/noti926

Srinivasa Ramanujan: Going Strong at 125, Part II

2013

Book Chapter

Logarithmic and complex constant term identities

Chappell, Tom, Lascoux, Alain, Warnaar, S. Ole and Zudilin, Wadim (2013). Logarithmic and complex constant term identities. Computational and analytical mathematics. (pp. 219-250) edited by David H. Bailey, Heinz H. Bauschke, Peter Borwein, Frank Garvan, Michel Théra, Jon D. Vanderwerff and Henry Wolkowicz. New York, United States: Springer. doi: 10.1007/978-1-4614-7621-4_11

Logarithmic and complex constant term identities

2012

Journal Article

Dedekind's eta-function and Rogers-Ramanujan identities

Warnaar, S. Ole and Zudilin, Wadim (2012). Dedekind's eta-function and Rogers-Ramanujan identities. Bulletin of the London Mathematical Society, 44 (1), 1-11. doi: 10.1112/blms/bdr019

Dedekind's eta-function and Rogers-Ramanujan identities

2011

Journal Article

The Riemann Hypothesis

Warnaar, Ole and Zudilin, Wadim (2011, 12 07). The Riemann Hypothesis

The Riemann Hypothesis

2011

Journal Article

New multiple 6ψ6 summation formulas and related conjectures

Spiridonov, Vyacheslav P. and Warnaar, S. Ole (2011). New multiple 6ψ6 summation formulas and related conjectures. The Ramanujan Journal, 25 (3), 319-342. doi: 10.1007/s11139-011-9310-5

New multiple 6ψ6 summation formulas and related conjectures

2011

Journal Article

A q-rious positivity

Warnaar, S. Ole and Zudilin, W. (2011). A q-rious positivity. Aequationes Mathematicae, 81 (1-2), 177-183. doi: 10.1007/s00010-010-0055-9

A q-rious positivity

2011

Journal Article

Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

Lascoux, Alain and Warnaar, S. Ole (2011). Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series. Advances in Applied Mathematics, 46 (1-4), 424-456. doi: 10.1016/j.aam.2010.01.012

Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

Funding

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

Supervision

Availability

Professor Ole Warnaar is:
Available for supervision

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Supervision history

Current supervision

Completed supervision

Media

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