# Matthew J. Dyer

Associate Professor

B.S., Sydney University, 1983

M.S., Sydney University, 1985

Ph.D., Sydney University, 1988

Email: Matthew.J.Dyer.1@nd.edu

Office: 140 Hayes-Healy

Phone: (574) 631-6082

Fax: (574) 631-6579

**Research Interests**

M. Dyer works in the general area of group theory and representation theory. Research is focused on Coxeter groups, Iwahori-Hecke algebras and their relationships with representation theories from algebraic groups, semisimple and Kac-Moody Lie algebras and groups, and quantum groups.

**Selected Publications**

- M. Dyer. On the Bruhat graph of a Coxeter system.
*Comp. Math.,*78:185-191, 1991. - M. Dyer. Hecke algebras and shellings of Bruhat intervals II; twisted Bruhat orders. In
*Kazhdan-Lusztig-Theory and related topics,*volume 139 of Contemp. Math., pages 141-165. Amer. Math. Soc., Providence, 1992. - M. Dyer. Hecke algebras and shellings of Bruhat intervals.
*Comp. Math.,*89:91-115, 1993. - M. Dyer. The nil Hecke ring and Deodharâ€™s conjecture on Bruhat intervals.
*Invent. Math.,*111:571-574, 1993. - M. Dyer. Quotients of twisted Bruhat orders.
*Jour. of Alg.,*163:861-879, 1994. - M. Dyer. Bruhat intevals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials.
*Math. Z.,*215:223-236, 1994. - M. Dyer. Algebras associated to Bruhat intervals and polyhedral cones. In
*Finite-dimensional algebras and related topics,*volume 424 of*Nato ASI Series C,*pages 95-121. Kluwer Academic Publishers, Dordrecht, Boston, London, 1994. - Y. Billig and M. Dyer. Decompositions of Bruhat type for the Kac-Moody groups.
*Nova jour. of Alg. and Geom.,*to appear.

Please direct questions and comments to: Matthew.J.Dyer.1@nd.edu