Professor Ole Warnaar

Chair and Professor of Pure Maths

School of Mathematics and Physics
Faculty of Science

Chair and Professor of Pure Maths

School of Mathematics and Physics
Faculty of Science
o.warnaar@maths.uq.edu.au
+61 7 336 53487

Overview

Qualifications

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

Publications

  • 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

  • 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

  • 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

View all Publications

Grants

View all Grants

Supervision

View all Supervision

Publications

Book Chapter

  • 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

  • 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

Journal Article

Conference Publication

  • 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

  • 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.

  • 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

  • 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.

  • 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.

  • 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.

  • Schilling, A and Warnaar, SO (1997). A higher-level Bailey lemma. Proceedings of the Conference on Exactly Soluble Models in Statistical Mechanics - Current Status and Historical Perspectives, Boston Ma, Mar, 1996. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. doi: 10.1142/S0217979297000253

  • WARNAAR, SO, NIENHUIS, B and SEATON, KA (1993). A CRITICAL ISING-MODEL IN A MAGNETIC-FIELD. Conf On Yang-Baxter Equations in Paris, Paris France, Jul 24-30, 1992. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. doi: 10.1142/S0217979293003474

Edited Outputs

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

Completed Supervision