Publications

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  • W. Chaimanowong, P. Norbury. Seiberg-Witten Theory and Topological Recursion. 2020.

  • L Chekhov, P. Norbury. Topological recursion with hard edges. International Journal of Mathematics, 1950014 (29pp), 2019. doi: 10.1142/S0129167X19500149.

  • O. Leigh, P. Norbury. Enumerative problems in algebraic geometry motivated from physics. 2019.

  • Gaetan Borot, P. Norbury. Loop equations for gromov–witten invariant of P1. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 15, 2019. doi: 10.3842/SIGMA.2019.061.

  • N. Do, P. Norbury. Pruned hurwitz numbers. Transactions of the American Mathematical Society, 370, 3053-3084, 2018. doi: 10.1090/tran/7021.

  • N. Do, P. Norbury. Topological recursion on the Bessel curve. Communications in Number Theory and Physics, 12, 53-73, 2018. doi: 10.4310/CNTP.2018.v12.n1.a2.

  • N. Do, P. Norbury. Topological recursion for irregular spectral curves. Journal of the London Mathematical Society, 97, 398-426, 2018. doi: 10.1112/jlms.12112.

  • P Dunin-Barkowski, P. Norbury, N Orantin, A Popolitov, S Shadrin. Primary invariants of Hurwitz Frobenius manifolds. TOPOLOGICAL RECURSION AND ITS INFLUENCE IN ANALYSIS, GEOMETRY, AND TOPOLOGY, 100, 297-331, 2018. doi: 10.1090/pspum/100/01768.

  • P Dunin-Barkowski, P. Norbury, N Orantin, A Popolitov, S Shadrin. Dubrovin’s Superpotential as a Global Spectral Curve. Journal of the Institute of Mathematics of Jussieu, 1-49, 2017. doi: 10.1017/S147474801700007X.

  • Y. Huang, P. Norbury. Simple geodesics and Markoff quads. Geometriae Dedicata, 186, 113-148, 2017. doi: 10.1007/s10711-016-0182-0.

  • Petr Dunin-Barkowski, M. Mulase, P. Norbury, Alexander Popolitov, Sergey Shadrin. Quantum spectral curve for the Gromov-Witten theory of the complex projective line. Journal fur die Reine und Angewandte Mathematik, 726, 267-289, 2017. doi: 10.1515/crelle-2014-0097.

  • P. Norbury. Stationary Gromov-Witten Invariants of Projective Spaces. Acta Mathematica Sinica-English Series, 33, 1163-1183, 2017. doi: 10.1007/s10114-017-5314-4.

  • Joseph Yew Choe Chan, P. Norbury. On hyperbolic monopoles. 2017.

  • Norman Do, O. Leigh, P. Norbury. Orbifold Hurwitz numbers and Eynard-Orantin invariants. Mathematical Research Letters, 23, 1281-1327, 2016. doi: 10.4310/MRL.2016.v23.n5.a3.

  • JE Andersen, LO Chekhov, P. Norbury, RC Penner. Topological recursion for Gaussian means and cohomological field theories. Theoretical and Mathematical Physics, 185, 1685-1717, 2015. doi: 10.1007/s11232-015-0373-0.

  • Jorgen Ellegaard Andersen, Leonid O Chekhov, P. Norbury, Robert C Penner. Models of discretized moduli spaces, cohomological field theories, and Gaussian means. Journal of Geometry and Physics, 98, 312-339, 2015. doi: 10.1016/j.geomphys.2015.08.018.

  • P. Norbury, N. Scott. Gromov-Witten invariants of P-1 and Eynard-Orantin invariants. Geometry & Topology, 18, 1865-1910, 2014. doi: 10.2140/gt.2014.18.1865.

  • P. Norbury. Quantum curves and topological recursion. String-Math 2014, 93, 41-65, 2014. doi: 10.1090/pspum/093/01694.

  • P. Norbury. Cell decompositions of moduli space, lattice points and Hurwitz problems.. 39-74, International Press of Boston, 2013.

  • P. Norbury. String and dilaton equations for counting lattice points in the moduli space of curves. Transactions of the American Mathematical Society, 365, 1687-1709, 2013. doi: 10.1090/S0002-9947-2012-05559-0.

  • P. Norbury, N. Scott. Polynomials representing Eynard-Orantin invariants. Quarterly Journal of Mathematics, 64, 515-546, 2013. doi: 10.1093/qmath/has004.

  • L Cohen, P. Norbury. Morse field theory. Asian Journal of Mathematics, 16, 661-712, 2012. doi: 10.4310/AJM.2012.v16.n4.a5.

  • P. Norbury. Magnetic monopoles on manifolds with boundary.. Transactions of the American Mathematical Society, 363, 1287-1309, 2011. doi: 10.1090/S0002-9947-2010-04934-7.

  • N. Do, P. Norbury. Counting lattice points in compactified moduli spaces of curves. Geometry and Topology, 15, 2321-2350, 2011. doi: 10.2140/gt.2011.15.2321.

  • P. Norbury. Counting lattice points in the moduli space of curves. Mathematical Research Letters, 17, 467-481, 2010. doi: 10.4310/MRL.2010.v17.n3.a7.

  • N. Do, P. Norbury. Weil-Petersson volumes and cone surfaces. Geometriae Dedicata, 141, 93-107, 2009. doi: 10.1007/s10711-008-9345-y.

  • P. Norbury. Lengths of geodesics on non-orientable hyperbolic surfaces. Geometriae Dedicata, 134, 153-176, 2008. doi: 10.1007/s10711-008-9251-3.

  • P. Norbury, Romao, NM Romão. Spectral curves and the mass of hyperbolic monopoles. Communications in Mathematical Physics, 270, 295-333, 2007. doi: 10.1007/s00220-006-0148-4.

  • J Manton, WD Neumann, P. Norbury. On the algebraic identifiability of finite impulse response channels driven by linearly precoded signals. Systems & Control Letters, 54, 125-134, 2005. doi: 10.1016/j.sysconle.2004.07.004.

  • P. Norbury. Stable reduction and topological invariants of complex polynomials. Proceedings of the Australian-Japanese Workshop on Real and Complex Singularities, 1, 299-322, 2005. doi: 10.1142/9789812706898_0015.

  • P. Norbury, J. Rubinstein. Closed Geodesics on Incomplete Surfaces. Geometriae Dedicata, 116, 1-36, 2005. doi: 10.1007/s10711-005-1892-x.

  • P. Norbury, JH Rubinstein. Closed geodesics on incomplete surfaces. Geometriae Dedicata, 116, 1-36, 2005. doi: 10.1007/s10711-005-1892-x.

  • P. Norbury. Boundary algebras of hyperbolic monopoles. Journal of Geometry and Physics, 51, 13-33, 2004. doi: 10.1016/j.geomphys.2003.09.001.

  • WD Neumann, P. Norbury. The Orevkov invariant of an affine plane curve. Transactions of the American Mathematical Society, 355, 519-538, 2003. doi: 10.1090/S0002-9947-02-03094-5.

  • J. Hass, P. Norbury, J. Rubinstein. Minimal spheres of arbitrarily high Morse index. Communications in Analysis and Geometry, 11, 425-439, 2003. doi: 10.4310/CAG.2003.v11.n3.a2.

  • MK Murray, P. Norbury, MA Singer. Hyperbolic Monopoles and Holomorphic Spheres. Annals of Global Analysis and Geometry, 23, 101-128, 2003. doi: 10.1023/A:1022473514591.

  • WD Neumann, P. Norbury. Rational polynomials of simple type. Pacific Journal of Mathematics, 202, 177-207, 2002. doi: 10.2140/pjm.2002.204.177.

  • P. Norbury. Asymptotic values of hyperbolic monopoles. Journal of the London Mathematical Society - Second Series, 64, 245-256, 2001. doi: 10.1017/S0024610701002186.

  • P. Norbury, Eastwood. A proof of Atiyah's conjecture on configurations of four points in Euclidean three-space.. Geometry and Topology, 5, 885-893, 2001. doi: 10.2140/gt.2001.5.885.

  • P. Norbury. Periodic instantons and the loop group. Communications in Mathematical Physics, 212, 557-569, 2000. doi: 10.1007/s002200000226.

  • WD Neumann, P. Norbury. Vanishing cycles and monodromy of complex polynomials. Duke Mathematical Journal, 101, 487-497, 2000. doi: 10.1215/S0012-7094-00-10134-2.

  • WD Neumann, P. Norbury. Unfolding polynomial maps at infinity. Mathematische Annalen, 318, 149-180, 2000. doi: 10.1007/s002080000117.

  • WD Neumann, P. Norbury. Nontrivial rational polynomials in two variables have reducible fibres. Bulletin of the Australian Mathematical Society, 58, 501-503, 1998.

  • S Jarvis, P. Norbury. Degenerating metrics and instantons on the four-sphere. Journal of Geometry and Physics, 27, 79-98, 1998. doi: 10.1016/S0393-0440(97)00067-3.

  • S Jarvis, P. Norbury. Compactification of hyperbolic monopoles. Nonlinearity, 10, 1073-1092, 1997. doi: 10.1088/0951-7715/10/5/005.

  • S Jarvis, P. Norbury. Zero and infinite curvature limits of hyperbolic monopoles. Bulletin of the London Mathematical Society, 29, 737-744, 1997. doi: 10.1112/S0024609397003500.

  • P. Norbury, M Sanders. Real instantons, Dirac operators and quaternionic classifying spaces. Proceedings of the American Mathematical Society, 124, 2193-2201, 1996.