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
A Foliated Hitchin-Kobayashi Correspondence (with David Baraglia), 42 pages |
Publications
Sign Choices for Orientifolds (with Michael Murray, Richard Szabo and Raymond Vozzo), to appear in Communications in Mathematical Physics, 28 pages | Journal link |
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Real Bundle Gerbes, Orientifolds and Twisted KR-homology (with Michael Murray, Richard Szabo and Raymond Vozzo), Advances in Theoretical and Mathematical Physics, 23 (2019), pp. 2093-2159 | Journal link |
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Arithmetic of Singular Character Varieties and their E-Polynomials (with David Baraglia), Proceedings of the London Mathematical Society, 114 (2017), pp. 293-332 | Journal link |
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Moduli Spaces of Contact Instantons (with David Baraglia), Advances in Mathematics, 294 (2016), pp. 562-595 | Journal link |
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A Fourier-Mukai Approach to the K-theory of Compact Lie Groups (with David Baraglia), Advances in Mathematics, 269 (2015), pp. 335-345 | Journal link |
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Projective Families of Dirac Operators on a Banach Lie Groupoid (with Jouko Mickelsson), Journal of Noncommutative Geometry, 10 (2016), pp. 1-23 | Journal link |
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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 | Journal link |
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Transitive Courant Algebroids, String Structures and T-duality (with David Baraglia), Advances in Theoretical and Mathematical Physics, 19 (2015), pp. 613-672 | Journal link |
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T-duality of Current Algebras and Their Quantization (with Varghese Mathai), Contemporary Mathematics, American Mathematical Society, 584 (2012), pp. 17-38 | Journal link |
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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 | Journal link |
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The General Caloron Correspondence (with Michael Murray and Raymond Vozzo), Journal of Geometry and Physics, 62 (2012), pp. 224-241 | Journal link |
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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 | Journal link |
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Fractional Loop Groups and Twisted K-theory (with Jouko Mickelsson), Communications in Mathematical Physics, 299 3 (2010), pp. 741-763 | Journal link |
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Integrability Criterion for Abelian Extensions of Lie Groups, Proceedings of the American Mathematical Society, 138 3 (2010), pp. 4137-4148 | Journal link |
Editorial Work
String Geometries, Dualities and Topological Matter (eds. with P. Bouwknegt, M. Varghese, H. Bursztyn, D. Baraglia, G.-C. Thiang), Journal of Geometry and Physics, Special Issue, 2018. |
Thesis
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 |