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Department of Mathematics
and Statistics E-mail: schiffler(at)math(dot)umass(dot)edu |
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AARMS Summer School 2008
Teaching
Spring 2008
Math
132H: Honors Calculus 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
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1 |
R. Schiffler, H. Thomas
: On cluster algebras arising from unpunctured surfaces, 24
pages, preprint. |
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2 |
I.
Assem, T.
Brüstle,
R. Schiffler : On the Galois covering of a cluster-tilted algebra, 21
pages, preprint. |
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3 |
R. Schiffler : A cluster
expansion formula (A_n case), Electron. J. Combin. 15 (2008), #R64 1 |
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4 |
I.
Assem, T.
Brüstle,
R. Schiffler : Cluster-tilted algebras and slices, J. of Algebra 319 (2008) 3464-3479. |
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| 5 | I.
Assem, T.
Brüstle, R. Schiffler : Cluster-tilted algebras as
trivial extensions, Bull. London Math. Soc. 40 (2008) 151-162. |
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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. | |
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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. | |
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11
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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). | |
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12
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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. | |
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| 14 | R. Bédard, R. Schiffler : Rational smoothness of varieties of representations for quivers of type A, Representation Theory 7, (2003) 481-548. | |
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15
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R. Schiffler : Variétés de carquois et homologie d'intersection, Phd-thesis, Publications LACIM 30, Montréal (2003). | |
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