Brian D. Boe

Brian D. Boe

Bounding the dimensions of rational cohomology groups. Developments and Retrospectives in Lie Theory: Algebraic Methods, Developments in Mathematics 38, 51-69 (2014).

First cohomology for finite groups of Lie type: simple modules with small dominant weights. Trans. Amer. Math. Soc. 365, 1025–1050 (2013). .

Complexity for modules over the classical Lie superalgebra gl(m|n). Compos. Math. 148, 1561–1592 (2012).

Second cohomology for finite groups of Lie type. J. Algebra 360, 21–52 (2012). .

Complexity and module varieties for classical Lie superalgebras. Int. Math. Res. Not. IMRN 696–724 (2011). doi:10.1093/imrn/rnq090

An analog of Kostant's theorem for the cohomology of quantum groups. Proc. Amer. Math. Soc. 138, 85–99 (2010). .

Cohomology and support varieties for Lie superalgebras. Trans. Amer. Math. Soc. 362, 6551–6590 (2010).

On Kostant's theorem for Lie algebra cohomology. Representation theory 478, 39–60 (2009). .

Cohomology and support varieties for Lie superalgebras. II. Proc. Lond. Math. Soc. (3) 98, 19–44 (2009).