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

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

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

Kostant modules in blocks of category O_S. Comm. Algebra 37, 323–356 (2009).

Ext^1-quivers for the Witt algebra W(1,1). J. Algebra 322, 1548–1564 (2009).