Areas of expertise

• Algebraic Structures In Mathematical Physics 010501
• Category Theory, K Theory, Homological Algebra 010103
• Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory 010505

Publications

• Bouwknegt, P, Evslin, J & Mathai, V 2018, 'Spherical T-duality and the spherical Fourier-Mukai transform', Journal of Geometry and Physics, vol. 133, pp. 303-314pp.
• Bouwknegt, P, Bugden, M, Klimcik, C et al 2017, 'Hidden isometry of "T-duality without isometry"', The Journal of High Energy Physics, vol. 2017, no. 8, pp. 19pp.
• Bouwknegt, P, Evslin, J & Mathai, V 2015, 'Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles', Journal of Geometry and Physics, vol. 92, pp. 46-54.
• Bouwknegt, P, Evslin, J & Mathai, V 2015, 'Spherical T-Duality', Communications in Mathematical Physics, vol. 337, pp. 909-954.
• Bouwknegt, P & Jurco, B 2013, 'AKSZ construction of topological open p-brane action and NAMBU brackets', Reviews in Mathematical Physics, vol. 25, no. 3, pp. 1330004(1-31).
• Bouwknegt, P, Carey, A & Ratnam, R 2013, 'Recent Advances in the Study of the Equivariant Brauer Group', K-Theory and D-Branes, ed. Giuseppe Dito, World Scientific Publishing Co. Pte Ltd, Singapore, pp. 335-358.
• Bouwknegt, P, Mathai, V & Wu, S 2012, 'Bundle gerbes and moduli spaces', Journal of Geometry and Physics, vol. 62, no. 1, pp. 1-10.
• Carey, A, Bouwknegt, P & Lohe, M 2012, 'Obituary: Charles Angas Hurst, AM FAA', Australian Mathematical Society Gazette, vol. 39, no. 1, pp. 30-32.
• Bouwknegt, P 2010, 'Lectures on cohomology, T-duality, and generalized geometry', in B Booss-Bavnbek, G Esposito, M Lesch (ed.), New Paths Towards Quantum Gravity. Lecture Notes in Physics 807, Springer, Berlin, Heidelberg, pp. 261-311.
• Bouwknegt, P, Hannabuss, K & Mathai, V 2010, 'C*-algebras in tensor categories', in Alan Carey, David Ellwood, Sylvie Paycha and Steven Rosenberg (ed.), Motives, Quantum Field Theory, and Pseudodifferential Operators, Clay Mathematics Institute, Boston, pp. 127-165.
• Bouwknegt, P & Pande PhD, A 2009, 'Topological T-duality and T-folds', Advances in Theoretical and Mathematical Physics, vol. 13, no. 5, pp. 1519-1539.
• Bouwknegt, P & Mathai, V 2009, 'T-duality as a duality of loop group bundles', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 162001, p. 8.
• Bouwknegt, P, Evslin, J, Jurco, B et al 2006, 'Flux Compactifications on Projective Spaces and the S-duality Puzzle', Advances in Theoretical and Mathematical Physics, vol. 10, pp. 345-394.
• Bouwknegt, P, Hannabuss, K & Mathai, V 2006, 'Nonassociative Tori and Applications to T-duality', Communications in Mathematical Physics, vol. 264, pp. 41-69.
• Bouwknegt, P & Ridout, D 2006, 'Presentations of Wess-Zumino-Witten Fusion Rings', Reviews in Mathematical Physics, vol. 18, no. 2, pp. 201-232.
• Bouwknegt, P, Jarvis, P & Links, J, eds, 2006, Reports on Mathematical Physics, 57.
• Bouwknegt, P, Hannabuss, K & Mathai, V 2005, 'T-Duality for Principal Torus Bundles and Dimensionally Reduced Gysin Sequences', Advances in Theoretical and Mathematical Physics, vol. 9, no. 5, pp. 749-773.
• Bouwknegt, P, Evslin, J & Mathai, V 2004, 'T-Duality: Topology change from H-Flux', Communications in Mathematical Physics, vol. 249, pp. 383-415.
• Bouwknegt, P, Evslin, J & Mathai, V 2004, 'Topology and H-Flux of T-Dual Manifolds', Physical Review Letters, vol. 92, pp. 181601-3.
• Bouwknegt, P, Hannabuss, K & Mathai, V 2004, 'T-Duality for Principal Torus Bundles', Journal of High Energy Physics, vol. 03, pp. 018(10).
• Bouwknegt, P & Ridout, D 2004, 'A Note on the Equality of Algebraic and Geometric D-Brane Charges in WZW Models', Journal of High Energy Physics, vol. 05, pp. 029(13).
• Ardonne, E, Bouwknegt, P & Dawson, P 2003, 'K-Matrices for 2D Conformal Field Theories', Nuclear Physics B, vol. 660, pp. 473-531.
• Bouwknegt, P & Wu, S, eds, 2002, Geometric Analysis and Applications to Quantum Field Theory, Birkhauser Verlag, Boston USA.
• Bouwknegt, P, Dawson, P, Ridout, D et al 2002, 'D-Branes on Group Manifolds and Fusion Rings', Journal of High Energy Physics, vol. 12, p. 065.
• Bouwknegt, P & Wu, S 2002, 'The Knizhnik-Zamolodchikov Equations', in Peter Bouwknegt, Siye Wu (ed.), Geometric Analysis and Applications to Quantum Field Theory, Birkhauser Verlag, Boston USA, pp. 21-44.
• Bouwknegt, P, Carey, A, Mathai, V et al 2002, 'Twisted K-theory and K-Theory of Bundle Gerbes', Communications in Mathematical Physics, vol. 228, no. 1, pp. 17-49.
• Ardonne, E, Bouwknegt, P & Schoutens, K 2001, 'Non-Abelian Quantum Hall States - Exclusion Statistics, K-Matrices and Duality', Journal of Statistical Physics, vol. 102, pp. 421-469.
• Ardonne, E, Bouwknegt, P, Guruswamy, S et al 2000, 'K-Matrices for Non-Abelian Quantum Hall States', Physical Review B: Condensed Matter and Materials, vol. 61, no. 15, pp. 10298-10302.
• Bouwknegt, P & Mathai, V 2000, 'D-Branes, B-Fields and Twisted K-Theory', Journal of High Energy Physics, vol. 03.
• Bouwknegt, P & Halmagyi, N 2000, 'q-Identities and Affinized Projective Varieties, II. Flag Varieties', Communications in Mathematical Physics, vol. 210, pp. 663-684.
• Bouwknegt, P 2000, 'q-Identities and Affinized Projective Varieties I. Quadratic Monomial Ideals', Communications in Mathematical Physics, vol. 210, pp. 641-660.
• Bouwknegt, P, Chim, L, Ridout, D et al 2000, 'Exclusion Statistics in Conformal Field Theory and the UCPF for WZW Models', Nuclear Physics B, vol. 572, pp. 547-573.

Projects and Grants

Grants information is drawn from ARIES. To add or update Projects or Grants information please contact your College Research Office.

• Towards higher rank logarithmic conformal field theories (Secondary Investigator)
• Ubiquity of K-theory and T-duality (Secondary Investigator)
• Supersymmetric Quantum Field Theory, Topology and Duality(Ext-Led) (Secondary Investigator)
• Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program (Primary Investigator)
• Generalized Geometries and their Applications (Primary Investigator)