Edward Richmond

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.

1. Rationally smooth elements of Coxeter groups and triangle group avoidance.
   with W. Slofstra.
   Submitted. arXiv:1206.5746
   Slides for a talk given at the CMS meeting, December 2012 in Montreal.
   
   
2. 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.
   
   
3. 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.
   
   

4. Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians.
   with D. Anderson and A. Yong.
   To appear in Compo. Math. arXiv:1210.5003


5. 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


6. A multiplicative formula for structure constants in the cohomology of flag varieties.
   Michigan Math. J. 61 (2012), no. 1, 3-17. arXiv:0812.1856


7. 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


8. A partial Horn recursion in the cohomology of flag varieties.
   J. Algebraic Combin. 30 (2009), no. 1, 1-17. math/0703462

9. Recursive structures in the cohomology of flag varieties
   under the direction of P. Belkale.
   Click here to view.