### Click here for a pdf copy of my research statement.

My mathematical research interests include algebraic combinatorics, algebraic geometry, and representation theory of Lie groups. Please feel free to browse my papers below.

My mathematical research interests include algebraic combinatorics, algebraic geometry, and representation theory of Lie groups. Please feel free to browse my papers below.

**A combinatorial characterization of tight fusion frames.**

with M. Bownik and K. Luoto.

Submitted. arXiv:1112.3060

Slides for a talk given at the CMS meeting, December 2011 in Toronto.

**Littlewood-Richardson coefficients for reflection groups**

with A. Berenstein.

Submitted. arXiv:1012.1714

Slides for a talk given at the JMM, January 2012 in Boston.

**Rationally smooth elements of Coxeter groups and triangle group avoidance.**

with W. Slofstra.

To appear in J. Algebraic Combin. arXiv:1206.5746

Slides for a talk given at the CMS meeting, December 2012 in Montreal.**Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians.**

with D. Anderson and A. Yong.

To appear in Compo. Math. arXiv:1210.5003**The Belkale-Kumar cup product and relative Lie algebra cohomology. (Appendix)**

with S. Evens and W. Graham.

Int. Math. Res. Notices. (2013) Vol. 2013 1901-1933. arXiv:1104.1415**A multiplicative formula for structure constants in the cohomology of flag varieties.**

Michigan Math. J. 61 (2012), no. 1, 3-17. arXiv:0812.1856**Branching Schubert calculus and the Belkale-Kumar product on cohomology**

with N. Ressayre.

Proc. Amer. Math. Soc. 139 (2011), no. 3, 835-848. arXiv:0909.0865**A partial Horn recursion in the cohomology of flag varieties.**

J. Algebraic Combin. 30 (2009), no. 1, 1-17. math/0703462

**Recursive structures in the cohomology of flag varieties**

under the direction of P. Belkale.

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