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

Algebra Text: Algebra: Abstract and Concrete Edition 2.5, available for download. Click here for information.

Recent papers:

J. Enyang and F.M. Goodman, Cellular bases for algebras with a Jones basic construction, preprint arXive:1106.5339.

T. Geetha and F.M. Goodman, Cellularity of Wreath Product Algebras and $A$--Brauer algebras, preprint arXiv:1208.2983.

F.M. Goodman, Remarks on cyclotomic and degenerate cyclotomic BMW algebras, Journal of Algebra 364 (2012) 13–37; preprint version: arXiv:1011.3284.

F.M. Goodman and John Graber, On cellular algebras with Jucys--Murphy elements, Journal of Algebra, 330 (2011) 147-176; preprint version: arXiv:0907.3459.

F.M. Goodman and John Graber, Cellularity and the Jones basic construction, Advances in Applied Mathematics, 46 (2011) 312-362; preprint verson: arXiv:0906.1496.

F.M. Goodman, Comparison of admissibility conditions for cyclotomic Birman--Wenzl--Murakami algebras,  Journal of Pure and Applied Algebra, 214 (2010) 2009–2016; preprint version:  arXiv:0905.4258.

F.M. Goodman, Admissibility conditions for degenerate cyclotomic BMW Algebras, Communications in Algebra, 39 (2011) 452-461; preprint version: arXiv:0905.4253.

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

F.M. Goodman and Holly Hauschild Mosley, Cyclotomic Birman-Wenzl-Murakami algebras II: Admissibility relations and freeness, Algebras and Representation Theory 14 (2011) 1-39; preprint version: math.QA/0612065.

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 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:

Course information:

Courses from previous semesters: Click Here.

Lecture Notes:

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

Slides from talk in Pondicherry, Sept. 2010,  "Cellularity and the Jones Basic construction"

Slides from talks in Pucon and Iowa City (Dec. 2010, March 2011), "Affine and Cyclotomic BMW algebras"

banff pictures 2006 (web page)