Calculus I, Calculus II, Calculus III. All class-related activity is kindly hosted by www.piazza.com .
Research and Publications
I work in the area of Lie Representation Theory, with focus on symbolic computation and computer algebra.
In conjunction with my theoretical work I am writing a symbolic computation computer algebra system, "the calculator" ("the vector partition function project").
Publications and preprints
1. Root Fernando-Kac subalgebras of finite type, J . of Algebra, 336 (2012), 257-278. arXiv:1009.5260v3
2. (with P. Somberg) The F-method and a branching problem for generalized Verma modules associated to (G_2, so(7)), Archivum Mathematicum,
49:317-332, 2013. arXiv:1303.7311
3. Computing parabolically induced embeddings of semisimple complex Lie algebras in Weyl algebras, Journal of Lie Theory, 25: 559-577, 2015. arXiv:1210.6642
4. (with P. Somberg) The branching problem for generalized Verma modules, with application to the pair (so(7), G_2), Journal of Algebra and
Its Applications, 13(07):1450034, 2014.
arXiv:1209.3970
5. Partial fraction decompositions and an algorithm for computing the vector partition function, (2009), not published.
arXiv:0910.4675
Since December 2008, I have been writing a computer algebra system from scratch. The system is now fully operational and has a number of useful functions: from a flexible 3d graphics library (demonstrated below) to a full-blown online homework server.
