Location: Bowdoin / Thomas Pietraho

Mathematics

Thomas Pietraho

Associate Professor of Mathematics

Contact Information

tpietrah@bowdoin.edu
207-725-3568
Mathematics
204 Searles Science Building


Spring 2013

  • Introduction to Mathematical Reasoning (MATH 200A)
  • Intermediate Linear Algebra (MATH 231)
  • Intermediate Independent Study in Mathematics (MATH 291)
  • Advanced Topics in Analysis (MATH 303)


Thomas Pietraho: Bowdoin College: Mathematics

Education

  • B.A. and M.S., University of Chicago
  • Ph.D., Massachusetts Institute of Technology

Research Interests

  • Representation theory of reductive Lie groups, geometric quantization, and the combinatorics of representation theory.



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, arXiv:1301.1356.
  • On the Sign Representations for the Complex Reflection Groups G(r,p,n) (with A. Mbirika and W. Silver), arXiv:1303.5021.

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