Andrew R. Linshaw

NSF-FRG Postdoctoral Fellow Department of Mathematics, MS 050 Brandeis University 415 South Street Waltham, MA, 02453 USA

Office: Goldsmith 204 Phone: (781) 736-3063 Fax: (781) 736-3085 email: linshaw@brandeis.edu

• RESEARCH INTERESTS: Representation theory, invariant theory, vertex algebras and infinite-dimensional Lie algebras

• PUBLICATIONS:
  
  
  • The cohomology algebra of the semi-infinite Weil complex, Comm. Math. Phys. 267 (2006), 13-23. Arxiv.
    
    
  • Howe pairs in the theory of vertex algebras (with Bong H. Lian), J. Algebra 317 (2007), 111-152. Arxiv.
    
    
  • Chiral equivariant cohomology I (with Bong H. Lian), Adv. Math. 209 (2007), 99-161. Arxiv.
    
    
  • Chiral equivariant cohomology II (with Bong H. Lian and Bailin Song), Trans. Am. Math. Soc. 360 (2008), 4739-4776. Arxiv.
    
    
  • Invariant chiral differential operators and the W_3 algebra, J. Pure Appl. Algebra 213 (2009), 632-648. Arxiv.
    
    
  • A Hilbert theorem for vertex algebras, Transformation Groups, 15, no. 2 (2010), 427-448. Arxiv.
    
    
  • Chiral equivariant cohomology III (with Bong H. Lian and Bailin Song), American J. Math. 132, no. 6 (2010), 1549-1590. Arxiv.
    
    
  • Chiral equivariant cohomology of a point: a first look, Comm. Math. Phys. 306 (2011), 381-417. Arxiv.
    
    
  • Invariant theory and the W_{1+\infty} algebra with negative integral central charge, J. Eur. Math. Soc. 13, no. 6 (2011) 1737-1768. Arxiv.
    
    
  • Invariant theory and the Heisenberg vertex algebra, Int. Math. Res. Notices 17 (2012), 4014-4050. Arxiv.
    
    
  • Invariant subalgebras of affine vertex algebras, Adv. Math. 234 (2013), 61-84. Arxiv.
    
    
  • Fermionic coset, critical level W^(2)_4 algebra, and higher spins (with Thomas Creutzig and Peng Gao), J. High Energy Physics. 2012, no. 4 (2012), 31. Arxiv.
    
    
  • A commutant realization of W^(2)_n at critical level (with Thomas Creutzig and Peng Gao), to appear in Int. Math. Res. Notices. Arxiv.
    
    
  • A commutant realization of Odake's algebra (with Thomas Creutzig), to appear in Transformation Groups. Arxiv.
    
  
  

• PREPRINTS:
  
  
  • 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.
    
    
  • Jet schemes and invariant theory (with Gerald Schwarz and Bailin Song), Arxiv.
    
    
  • Arc spaces and the vertex algebra commutant problem (with Gerald Schwarz and Bailin Song), Arxiv.
    
  
  

• CONFERENCE PROCEEDINGS:
  
  
  • Introduction to invariant chiral differential operators, Contemp. Math. 497 (2009), 157-168. International conference in honor of Geoffrey Mason's 60th birthday.
    
    
  • Invariant subalgebras of ghost systems, Lie Theory and its Applications in Physics: VIII International Workshop. AIP Conference Proceedings 1243 (2010), 179-190.
    
    
  • Chiral equivariant cohomology of spheres (with Bong H. Lian and Bailin Song) Contemp. Math. 557 (2011), 41-75. Conference in honor of Gregg J. Zuckerman's 60th birthday.
    
  
  

• CV
  

• Research statement