Research Interests

Differential geometry, Lie theory and mathematical physics. Specifically,

  • moduli spaces, generalised geometry, gerbes and K-theory,
  • infinite dimensional Lie algebras and vertex algebras,
  • mathematical aspects of quantum field theory, gauge theory and string theory.

Preprints

PDF A Foliated Hitchin-Kobayashi Correspondence (with David Baraglia), 42 pages
arXiv:1802.09699
PDF Real Bundle Gerbes, Orientifolds and Twisted KR-homology (with Michael Murray, Richard Szabo and Raymond Vozzo), 44 pages
arXiv:1608.06466

Publications

PDF Arithmetic of Singular Character Varieties and their E-Polynomials (with David Baraglia), Proceedings of the London Mathematical Society, 114 (2017), pp. 293-332
arXiv:1602.06996
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PDF Moduli Spaces of Contact Instantons (with David Baraglia), Advances in Mathematics, 294 (2016), pp. 562-595
arXiv:1401.5140
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PDF A Fourier-Mukai Approach to the K-theory of Compact Lie Groups (with David Baraglia), Advances in Mathematics, 269 (2015), pp. 335-345
arXiv:1406.3993
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PDF Projective Families of Dirac Operators on a Banach Lie Groupoid (with Jouko Mickelsson), Journal of Noncommutative Geometry, 10 (2016), pp. 1-23
arXiv:1404.1754
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PDF A Geometric Model for Odd Differential K-theory (with Michael Murray, Vincent Schlegel and Raymond Vozzo), Differential Geometry and its Applications, 40 (2015), pp. 123-158
arXiv:1309.2834
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PDF Transitive Courant Algebroids, String Structures and T-duality (with David Baraglia), Advances in Theoretical and Mathematical Physics, 19 (2015), pp. 613-672
arXiv:1308.5159
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PDF T-duality of Current Algebras and Their Quantization (with Varghese Mathai), Contemporary Mathematics, American Mathematical Society, 584 (2012), pp. 17-38
arXiv:1203.1709
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PDF The Faddeev-Mickelsson-Shatashvili Anomaly and Lifting Bundle Gerbes (with Michael Murray, Danny Stevenson and Raymond Vozzo), Communications in Mathematical Physics, 319 2 (2013), pp. 379-393
arXiv:1112.1752
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PDF The General Caloron Correspondence (with Michael Murray and Raymond Vozzo), Journal of Geometry and Physics, 62 (2012), pp. 224-241
arXiv:1105.0805
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PDF Calculus Structure on the Lie Conformal Algebra Complex and the Variational Complex (with Alberto De Sole and Victor Kac), Journal of Mathematical Physics, 52 053510 (2011), 35 pages
arXiv:1007.3707
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PDF Fractional Loop Groups and Twisted K-theory (with Jouko Mickelsson), Communications in Mathematical Physics, 299 3 (2010), pp. 741-763
arXiv:0801.2522
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PDF Integrability Criterion for Abelian Extensions of Lie Groups, Proceedings of the American Mathematical Society, 138 3 (2010), pp. 4137-4148
arXiv:0611431
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Thesis

PDF Abelian Extensions, Fractional Loop Groups and Quantum Fields, ISBN: 978-91-7415-592-1, 2010, 98 pages Ph.D.

Collaboration Distances

Erdös number 4 Gelfand number 3 Einstein number 4 Bacon number 6