AGF - Ehemalige

PhD Andrew Linshaw

Office: S2|15 410
Phone: 06151 / 16-70397
Fax: 06151 / 16-6030
Email: linshaw [at] mathematik.tu-darmstadt.de

Research interests

Vertex algebras and infinite-dimensional Lie algebras
Invariant theory
Equivariant cohomology

Publications and preprints

The cohomology algebra of the semi-infinite Weil complex, Communications in Mathematical Physics 267 (2006), 13-23, arxiv.
Howe pairs in the theory of vertex algebras (with Bong H. Lian), Journal of Algebra 317 (2007), 111-152, arxiv.
Chiral equivariant cohomology I (with Bong H. Lian), Advances in Mathematics 209 (2007), 99-161, arxiv.
Chiral equivariant cohomology II (with Bong H. Lian and Bailin Song), Transactions of the American Mathematical Society 360 (2008), 4739-4776, arxiv.
Invariant chiral differential operators and the W_3 algebra, Journal of Pure and Applied Algebra 213 (2009), 632-648, arxiv.
A Hilbert theorem for vertex algebras, Transformation Groups vol. 15, no. 2 (2010), 427-448, arxiv.
Chiral equivariant cohomology III (with Bong H. Lian and Bailin Song), American Journal of Mathematics vol. 132, no. 6 (2010), 1549-1590, arxiv.
Chiral equivariant cohomology of a point: a first look, Communications in Mathematical Physics, 306 (2011), 381-417, arxiv.
Invariant theory and the W_{1+\infty} algebra with negative integral central charge, Journal of the European Mathematical Society 13, no. 6 (2011) 1737-1768, arxiv.
Invariant theory and the Heisenberg vertex algebra, International Mathematics Research Notices, 17 (2012), 4014-4050, arxiv.
Invariant subalgebras of affine vertex algebras, to appear in Advances in Mathematics, arxiv.
A commutant realization of W^(2)_n at critical level (with Thomas Creutzig and Peng Gao), to appear in International Mathematics Research Notices, arxiv.
Fermionic coset, critical level W^{(2)}_4 algebra, and higher spins (with Thomas Creutzig and Peng Gao), Journal of High Energy Physics, no. 4 (2012), 31, arxiv.
The Kac-Wang-Yan algebra with negative integral central charge, submitted, arxiv.
The super W_{1+\infty} algebra with integral central charge (with Thomas Creutzig), submitted, arxiv.
A commutant realization of Odake's algebra (with Thomas Creutzig), submitted, arxiv.
Jet schemes and invariant theory (with Gerald W. Schwarz and Bailin Song), arxiv.
Arc spaces and the vertex algebra commutant problem (with Gerald W. Schwarz and Bailin Song), arxiv.

Address

Fachbereich Mathematik
Technische Universität Darmstadt

Schloßgartenstr. 7
64289 Darmstadt

Germany

Office

Ute Fahrholz
Gerlinde Gehring
Zimmer: S2|15 K414

+49 6151 / 16-2089