I'm a postdoc in the University of Michigan math department working in algebraic combinatorics. I graduated from the University of Washington in 2014 where my advisor was Sara Billey, and then spent a year at the University of Minnesota. Here's my CV.

### Contact

*Office*: East Hall 3863

*Email*: pawlows@𝖚𝖒𝖎𝖈𝖍.edu (if you have Unicode problems, the missing string is 'umich')

### Research

My research focuses on problems in combinatorial representation theory (usually in the symmetric group or general linear group), along with connections to symmetric functions and to Schubert calculus in Grassmannians and flag varieties. I'm also interested in the permutation combinatorics that often appears here, like pattern avoidance and the theory of reduced words. For details, see this research statement.

### Publications

*A representation-theoretic interpretation of positroid classes*, preprint, arXiv:1612.00097.*Fixed-point-free involutions and Schur P-positivity*, preprint, arXiv:1706.06665 (with Zach Hamaker and Eric Marberg).*Schur P-positivity and involution Stanley symmetric functions*, preprint, arXiv:1701.02824 (with Zach Hamaker and Eric Marberg).*Transition formulas for involution Schubert polynomials*, preprint, arXiv:1609.09625 (with Zach Hamaker and Eric Marberg).*Involution words II: braid relations and atomic structures*, arXiv:1601.02269; to appear in the Journal of Algebraic Combinatorics (with Zach Hamaker and Eric Marberg).*Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures*, preprint, arXiv:1508.01823 (with Zach Hamaker and Eric Marberg).*Catalan matroid decompositions of certain positroids*, preprint, arXiv:1502.00158.*Cohomology classes of interval positroid varieties and a conjecture of Liu*, preprint, arXiv:1410.7419.*Permutation patterns, Stanley symmetric functions, and generalized Specht modules*(with Sara Billey). Journal of Combinatorial Theory, Series A, 127:85-120, 2014. See also arXiv:1304.7870v2.

### Teaching

#### University of Michigan

Fall 2017: Math 115

#### University of Minnesota

Spring 2015: Math 4281

Fall 2014: Math 4281

#### University of Washington

Summer 2014: Math 300C

Spring 2014: Math 324C

Winter 2014: Math 308E

Spring 2013: Math 309F

Summer 2012: Math 326A

Spring 2012: Math 324AD

Winter 2011: Math 307J

### Other

- A useful trigonometric identity.
- A script which tries to turn Latin into French.