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

PDF New Invariants of Involutions from Seiberg-Witten Floer Theory (with David Baraglia), 53 pages
arXiv:2403.00203
PDF Equivariant Index on Toric Contact Manifolds (with Marcos Orseli), 31 pages
arXiv:2306.08811

Publications

PDF Brieskorn Spheres, Cyclic Group Actions and the Milnor Conjecture (with David Baraglia), Journal of Topology, 17 2 (2024), 38 pages
arXiv:2208.05143
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PDF Equivariant Seiberg-Witten Floer Cohomology (with David Baraglia), Algebraic and Geometric Topology, 24 (2024), pp. 493-554
arXiv:2108.06855
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PDF A Foliated Hitchin-Kobayashi Correspondence (with David Baraglia), Advances in Mathematics, 408 (2022), 108661
arXiv:1802.09699
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PDF Sign Choices for Orientifolds (with Michael Murray, Richard Szabo and Raymond Vozzo), Communications in Mathematical Physics, 378 (2020), pp. 1843-1873
arXiv:1905.06041
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PDF 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
arXiv:1608.06466
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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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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.
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Collaboration Distances

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