Ralf Schiffler

Department of Mathematics and Statistics
University of Massachusetts at Amherst
Phone:(413) 545-2871
Fax: (413) 545-1801
Office: LGRT 1342

E-mail: schiffler(at)math(dot)umass(dot)edu

Curriculum Vitae



Teaching

Spring 2008

Math 132H: Honors Calculus II
Math 412: Abstract Algebra II
Math 512: Honors Abstract Algebra II
 previous courses

Spring 2007 Fall 2007
Spring 2006 Fall 2006
Fall 2005


Research

My research focuses on Algebra, Representation Theory, Combinatorics and Algebraic Geometry. I am particularly interested in associative algebras, quiver representations, cluster algebras and quantum group. My research is supported by NSF Grant, DMS-0700358.

Publications

1
R. Schiffler, H. Thomas : On cluster algebras arising from unpunctured surfaces, 24 pages, preprint.
2
I. Assem, T. Brüstle, R. Schiffler : On the Galois covering of a cluster-tilted algebra, 21 pages, preprint.
3
R. Schiffler : A cluster expansion formula (A_n case), 10 pages, preprint.
4
I. Assem, T. Brüstle, R. Schiffler : Cluster-tilted algebras and slices, J. of Algebra 319 (2008) 3464-3479.
5 I. Assem, T. Brüstle, R. Schiffler : Cluster-tilted algebras as trivial extensions, Bull. London Math. Soc. 40 (2008) 151-162.
6
R. Schiffler : A geometric model for cluster categories of type D_n, J. Alg. Comb. 27, no. 1, (2008) 1-21.
7 I. Assem, T. Brüstle, R. Schiffler, G. Todorov : m-cluster categories and m-replicated algebras, J. Pure Appl. Alg. 212 (4) (2008) 884-901.
8 I. Assem, T. Brüstle, R. Schiffler, G. Todorov : Cluster categories and duplicated algebras, J. of Algebra 305 (2006) 548-561.
9
P. Caldero, F. Chapoton, R. Schiffler : Quivers with relations and cluster tilted algebras, Algebras and Representation Theory 9, no. 4, (2006) 359-376.
10 P. Caldero, F. Chapoton, R. Schiffler : Quivers with relations arising from clusters (A_n case), Trans. Amer. Math. Soc. 358 , no. 3, (2006) 1347-1364.
11
R. Schiffler : On the multiplication in the quantized enveloping algebra of type A, in Representations of Algebras and Related Topics, Fields Institute Communications 45, (2005).
12
P. Caldero, R. Schiffler : Rational smoothness of varieties of representations for quivers of Dynkin type, Annales de l'Institut Fourier 54 (2), (2004) 295-315.
13
R. Schiffler : Projective rational smoothness of varieties of representations for quivers of type A, Representation Theory 7 (2003) 549-586.
14 R. Bédard, R. Schiffler : Rational smoothness of varieties of representations for quivers of type A, Representation Theory 7, (2003) 481-548.
15
R. Schiffler : Variétés de carquois et homologie d'intersection, Phd-thesis, Publications LACIM 30, Montréal (2003).


Some Family Photos