Fred Goodman

Email: goodman at math dot uiowa dot edu Paper Mail: Fred Goodman Department of Mathematics MLH The University of Iowa Iowa City, IA 52242-1419 USA Phone: Voice: 319-335-0791 Fax: 319-335-0627 Office: 325G Maclean Hall

banff pictures 2006 (web page)

Course information:

Courses from previous semesters: Click Here.

Recent papers:

F.M. Goodman and John Graber, On cellular algebras with Jucys--Murphy elements, preprint, arXiv:0907.3459

F.M. Goodman and John Graber, Cellularity and the Jones basic construction, preprint verson: arXiv:0906.1496

F.M. Goodman, Comparison of admissibility conditions for cyclotomic Birman--Wenzl--Murakami algebras, to appear in Journal of Pure and Applied Algebra, preprint version, arXiv:0905.4258.

F.M. Goodman, Admissibility conditions for degenerate cyclotomic BMW Algebras, To appear in Communications in Algebra, preprint version: arXiv:0905.4253.

F.M. Goodman, Cellularity of Cyclotomic Birman--Wenzl--Murakami algebras, J. Algebra 321 (2009), 3299-3320; preprint version: arXiv:0801.0306.

F.M. Goodman and Holly Hauschild Mosley, Cyclotomic Birman-Wenzl-Murakami algebras I: Freeness and realization as tangle algebras, J. Knot Theory and Ramifications; 18, (2009), 1089-1127; preprint version: math.QA/0612064.

F.M. Goodman and Holly Hauschild Mosley, Cyclotomic Birman-Wenzl-Murakami algebras II: Admissibility relations and freeness, to appear in Algebras and Representation Theory; preprint version: math.QA/0612065.

F. M. Goodman and H. Hauschild, Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus, Fundamenta Mathematicae, 190 (2006), 77-137; preprint version: math.QA/0411155.

F. M. Goodman , Zn--graded independence, Indiana University Mathematics Journal, 53 (2004), 515-532; preprint version: math.OA/0206296.

Philippe Biane, F. M. Goodman, and Alexandru Nica, Non-crossing cumulants of type B, Trans. Am. Math. Soc., 355 (2003), 2263-2303; preprint version: math.OA/0206167.

F. M. Goodman and Hans Wenzl, Ideals in the Temperley-Lieb Category, an appendix to Michael Freedman, A magnetic model with a possible Chern-Simons phase, Comm. Math. Phys., 234 (2003) pp 129-183; preprint version: math.QA/0206301.

F. M. Goodman and Hans Wenzl, A path algorithm for affine Kazhdan-Lusztig polynomials, Math. Z. 237 (2001), no. 2, 235--249; preprint version: math.RT/0011245.

Publication List:

Lecture Notes:

Notes from lectures in mathematical physics seminar, fall 1998, on "Fock space and Kazhdan-Lusztig polynomials."