Notes on affine W-algebras
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with R. Heluani, A Hodge filtration on chiral homology and Poisson homology of associated schemes
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A quantum field comonad
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with T. Arakawa, A. Moreau, Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
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with R. Heluani, The First Chiral Homology Group
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with T. Arakawa, Rationality and Fusion Rules of Exceptional W-Algebras.
Free version: arXiv link.
Publication: Journal of the European Mathematical Society 25 no. 7 (2023) pp. 2763-2813.
DOI 10.4171/JEMS/1250
with B. Rodríguez Morales, Holomorphic integer graded vertex superalgebras.
Free version: arXiv link.
Publication: Journal of Algebra and Its Applications 22 No. 4, 2350081 (2023).
DOI 10.1142/S0219498823500810
with T. Arakawa, A. Moreau, On the nilpotent orbits arising from admissible affine vertex algebras.
Free version: arXiv link.
Publication: Proceedings of the London Mathematical Society 125 Issue 3 (2022) pp. 681-699.
DOI 10.1112/plms.12467
with G. Andrews, R. Heluani, The singular support of the Ising model.
Free version: arXiv link.
Publication: International Mathematics Research Notices 10 (2022) pp. 8800-8831.
DOI 10.1093/imrn/rnab328
with C.-H. Lam, S. Möller, H. Shimakura, Schellekens' List and the Very Strange Formula.
Free version: arXiv link.
Publication: Advances in Mathematics 380 (2021).
DOI 10.1016/j.aim.2021.107567
with R. Heluani, Chiral Homology of Elliptic Curves and the Zhu Algebra.
Free version: arXiv link.
Publication: Communications in Mathematical Physics 386 (2021) pp. 495-550.
DOI 10.1007/s00220-021-04026-w
with S. Möller, N. Scheithauer, Construction and Classification of Holomorphic Vertex Operator Algebras.
Free version: arXiv link.
Publication: Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 Issue 759 (2020) pp. 61-99.
DOI 10.1515/crelle-2017-0046
with T. Arakawa, Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras.
Free version: arXiv link.
Publication: Communications in Mathematical Physics 370 no. 1 (2019) pp. 205-247.
DOI 10.1007/s00220-019-03504-6
with R. Heluani, A Short Construction of the Zhu Algebra.
Free version: arXiv link.
Publication: Journal of Algebra 528 (2019) pp. 85-95.
DOI 10.1016/j.jalgebra.2019.02.032
Lattices, Vertex Algebras, and Modular Categories.
Free version: arXiv link.
Publication: Journal of Geometry and Physics 126 (2018) pp. 27-41.
DOI 10.1016/j.geomphys.2018.01.008
with S. Möller, N. Scheithauer, Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras.
Free version: arXiv link.
Publication: International Mathematics Research Notices (IMRN) 2020 Issue 7 (2018) pp. 2145-2204.
DOI 10.1093/imrn/rny038
Superconformal Vertex Algebras and Jacobi Forms.
Free version: arXiv link.
Publication: In Perspectives in Lie Theory (pp. 315-330) Springer Cham, 2017.
DOI 10.1007/978-3-319-58971-8_9
with R. Heluani, Characters of Topological N=2 Vertex Algebras are Jacobi Forms on the Moduli Space of Elliptic Supercurves.
Free version: arXiv link.
Publication: Advances in Mathematics 302 (2016) pp. 551-627.
DOI 10.1016/j.aim.2016.05.018
Vertex Operator Superalgebras and Odd Trace Functions.
Free version: arXiv link.
Publication: In Advances in Lie Superalgebras. (pp. 223-234) Springer International Publishing, 2014.
DOI 10.1007/978-3-319-02952-8_13
Modular Invariance for Twisted Modules over a Vertex Operator Superalgebra.
Free version: arXiv link.
Publication: Communications in Mathematical Physics 322 no. 2 (2013) pp. 333-371.
DOI 10.1007/s00220-013-1758-2
Higher Level Twisted Zhu Algebras.
Free version: arXiv link.
Publication: Journal of Mathematical Physics 52 no. 5 (2011) pp. 052302.
DOI 10.1063/1.3589214
with S. Talele, P. Gaynor, M. J. Cree, Modelling Single Cell Electroporation with Bipolar Pulse Parameters and Dynamic Pore Radii.
Free version: Link to article here.
Publication: Journal of Electrostatics 68 no. 3 (2010) pp. 261-274.
DOI 10.1016/j.elstat.2010.02.001