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.


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


PDF Brieskorn Spheres, Cyclic Group Actions and the Milnor Conjecture (with David Baraglia), Journal of Topology, 17 2 (2024), 38 pages
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PDF Equivariant Seiberg-Witten Floer Cohomology (with David Baraglia), Algebraic and Geometric Topology, 24 (2024), pp. 493-554
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PDF A Foliated Hitchin-Kobayashi Correspondence (with David Baraglia), Advances in Mathematics, 408 (2022), 108661
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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
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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
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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
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PDF Moduli Spaces of Contact Instantons (with David Baraglia), Advances in Mathematics, 294 (2016), pp. 562-595
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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