Research Interests
Topology, differential geometry, Lie theory and mathematical physics. More specifically,
- moduli spaces, character varieties, generalised geometry and vertex algebras,
- Floer homology, knot theory, gerbes and K-theory,
- mathematical aspects of quantum field theory, gauge theory and string theory.
Preprints
| New Invariants of Involutions from Seiberg-Witten Floer Theory (with David Baraglia), 53 pages | ||
| Equivariant Index on Toric Contact Manifolds (with Marcos Orseli), 31 pages |
Publications
| Brieskorn Spheres, Cyclic Group Actions and the Milnor Conjecture (with David Baraglia), Journal of Topology, 17 2 (2024), 38 pages | Journal link |
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| Equivariant Seiberg-Witten Floer Cohomology (with David Baraglia), Algebraic and Geometric Topology, 24 (2024), pp. 493-554 | Journal link |
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| A Foliated Hitchin-Kobayashi Correspondence (with David Baraglia), Advances in Mathematics, 408 (2022), 108661 | Journal link |
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| Sign Choices for Orientifolds (with Michael Murray, Richard Szabo and Raymond Vozzo), Communications in Mathematical Physics, 378 (2020), pp. 1843-1873 | 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. |
Collaboration Distances
| Erdös number | 4 | Gelfand number | 3 | Einstein number | 4 | Bacon number | 6 |