Articles

arXiv preprints can be found following this link

with B. Rodríguez Morales, Holomorphic integer graded vertex superalgebras.

arXiv: 2110.03870.

Publication: Journal of Algebra and its Applications

DOI: 10.1142/S0219498823500810

with R. Heluani, The first chiral homology group.

arXiv: 2103.06322.

with T. Arakawa, A. Moreau, Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras.

arXiv: 2102.13462.

with T. Arakawa, A. Moreau, On the nilpotent orbits arising from admissible affine vertex algebras.

arXiv: 2010.08429.

with C.-H. Lam, S. Möller, H. Shimakura, Schellekens' List and the Very Strange Formula.

arXiv: 2005.12248.

Publication: Advances in Mathematics 380 (2021).

DOI 10.1016/j.aim.2021.107567

with G. E. Andrews, R. Heluani, The singular support of the Ising model.

arXiv: 2005.10769.

with T. Arakawa, Rationality and Fusion Rules of Exceptional W-Algebras.

arXiv: 1905.11473.

Publication: accepted in Journal of the European Mathematical Society (JEMS).

with R. Heluani, Chiral Homology of Elliptic Curves and the Zhu Algebra.

arXiv: 1804.00017.

Publication: Communications in Mathematical Physics 386 (2021) pp. 495-550.

DOI 10.1007/s00220-021-04026-w

with R. Heluani, A Short Construction of the Zhu Algebra.

arXiv: 1804.00020.

Publication: Journal of Algebra 528 (2019) pp. 85-95.

DOI 10.1016/j.jalgebra.2019.02.032

Lattices, Vertex Algebras, and Modular Categories.

arXiv: 1801.03753.

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.

arXiv: 1704.00478.

Publication: Int. Math. Res. Not. (IMRN) 2020 Issue 7 (2020) pp. 2145–2204.

DOI 10.1093/imrn/rny038

with T. Arakawa, Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras.

arXiv: 1612.09100.

Publication: Communications in Mathematical Physics 370 no. 1 (2019) pp. 205-247.

DOI 10.1007/s00220-019-03504-6

Superconformal Vertex Algebras and Jacobi Forms.

arXiv: 1608.01865.

Publication: In Perspectives in Lie Theory (pp. 315-330) Springer Cham, 2017.

DOI 10.1007/978-3-319-58971-8_9

with S. Möller, N. Scheithauer, Construction and Classification of Holomorphic Vertex Operator Algebras.

arXiv: 1507.08142.

Publication: J. Reine Angew. Math. (Crelle's journal) 2020 Issue 759 (2020) pp. 61-99.

DOI 10.1515/crelle-2017-0046

with R. Heluani, Characters of Topological N=2 Vertex Algebras are Jacobi Forms on the Moduli Space of Elliptic Supercurves.

arXiv: 1405.6128.

Publication: Advances in Mathematics 302 (2016) pp. 551-627.

DOI 10.1016/j.aim.2016.05.018

Vertex Operator Superalgebras and Odd Trace Functions.

arXiv: 1307.4114.

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.

arXiv: 1111.0682.

Publication: Communications in Mathematical Physics 322 no. 2 (2013) pp. 333-371.

DOI 10.1007/s00220-013-1758-2

Higher Level Twisted Zhu Algebras.

arXiv: 1105.0108.

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.

Article: Here.

Publication: Journal of Electrostatics 68 no. 3 (2010) pp. 261-274.

DOI 10.1016/j.elstat.2010.02.001