Thomas Pietraho
Associate Professor of Mathematics, on leave for the 2023–2024 academic year
Research Interests
- Representation theory and related combinatorics.
Courses
Please see the courses website for links to additional courses.
Publications
Drafts of and links to the following articles are available on my personal web page.
- Orbital Varieties and Unipotent Representations of Classical Semisimple Lie Groups, PhD Thesis, MIT.
- Components of the Springer Fiber and Domino Tableaux, Journal of Algebra, 272 (2):711-729, 2004. arXiv:math.RT/0210416
- A Relation for Domino Robinson-Schensted Algorithms, Annals of Combinatorics, 13 (4):519-532, 2010. arXiv:math.CO/0603654.
- Orbital Varieties and Unipotent Representations Attached to Spherical Orbits, arXiv:math.RT/0603685
- Cells in the Weyl Groups of type B(n), Journal of Algebraic Combinatorics, 27(2):247-262, 2008. arXiv:math/0607231
- Cells and Constructible Representations in Type B, New York Journal of Mathematics 14:411-430, 2008. arXiv: 0710.3846
- Knuth Relations for the Hyperoctahedral Groups, Journal of Algebraic Combinatorics, 29(4):509-535, 2009.
- Module Structure of Cells in Unequal Parameter Hecke Algebras, Nagoya Mathematical Journal, 198(2010). arXiv:0902.1907
- Sign under the domino Robinson-Schensted maps, Annals of Combinatorics 18 (2014). arXiv:1301.1356.
- On the Sign Representations for the Complex Reflection Groups G(r,p,n) (with A. Mbirika and W. Silver), Beitrage zur Algebra und Geometrie 57, 2016. arXiv:1303.5021.
- Kazhdan-Lusztig left cells in type B for intermediate parameters (with E. Howse). arXiv:1902.09301.

Education
- PhD, Massachusetts Institute of Technology
- MS, University of Chicago
- BA, University of Chicago