
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
2011
Journal Article
The Riemann Hypothesis
Warnaar, Ole and Zudilin, Wadim (2011, 12 07). 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
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
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
Funding
Past funding
Supervision
Availability
- Professor Ole Warnaar is:
- Available for supervision
Before you email them, read our advice on how to contact a supervisor.
Supervision history
Current supervision
-
Master Philosophy
Hall-Littlewood polynomials in representation theory
Principal Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
Master Philosophy
Topics in representation theory
Principal Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
Master Philosophy
Arithmetic geometry of additive character varieties
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
Master Philosophy
Arithmetic Geometry of Moduli of Representations
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
Master Philosophy
Arithmetic geometry of additive character varieties
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
Master Philosophy
Arithmetic geometry of additive character varieties
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
Completed supervision
-
2020
Master Philosophy
Selberg integrals of Alba-Fateev-Litvinov-Tarnopolsky type
Principal Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
2019
Master Philosophy
Stabilisers of eigenvectors in complex reflection groups
Principal Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
-
2014
Doctor Philosophy
Modified Hall--Littlewood polynomials and characters of affine Lie algebras
Principal Advisor
-
-
2025
Master Philosophy
Arithmetic geometry of additive character varieties
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
2017
Master Philosophy
Jordan Decomposition for Differential Operators
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
-
2016
Doctor Philosophy
Regularity Results for Nonlinear Elliptic Systems
Associate Advisor
Other advisors: Professor Joseph Grotowski
Media
Enquiries
For media enquiries about Professor Ole Warnaar's areas of expertise, story ideas and help finding experts, contact our Media team: