# 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