Books
- G. Leuschke, F. Bleher, R. Schiffler and D. Zacharia : Representations of Algebras, AMS Contemp. Math. Volume 705, 2018.
- R. Schiffler : Quiver Represenations, CMS Books in Mathematics, Springer Verlag, 2014.
There is a book review on page 7 of these CMS Notes.
- R. Schiffler : Variétés de carquois et homologie d’intersection , Publications LACIM 30, Montréal, 2003.
Lecture Notes
- R. Schiffler : Lecture notes on cluster algebras from surfaces, CIMPA School, Mar del Plata, 2016.
- R. Schiffler : Cluster algebras and cluster categories, lecture notes for the Latin American Colloquium, Sao Pedro, Brazil, 2009.
Articles
- K. Lee, L. Li, M. Rabideau and R. Schiffler, On the ordering of the Markov numbers, 21 pages.
- R. Schiffler and D. Whiting, Tilting modules arising from knot invariants, 18 pages.
- E. Barnard, E. Gunawan, E. Meehan, and R. Schiffler, Cambrian combinatorics on quiver representations (type A), 22 pages.
- K. Lee, L. Li and R. Schiffler, Newton polytopes of rank 3 cluster variables, to appear in Algebraic Combinatorics, 39 pages.
- I. Assem, M. J. Redondo and R. Schiffler, A note on sequential walks, Contemp. Math. 761 (2021) 37-50.
- K. Igusa and R. Schiffler, Frieze varieties are invariant under Coxeter mutation, Contemp. Math. 761 (2021) 103-116.
- B. Duan and R. Schiffler, A geometric q-character formula for snake modules, J. Lond. Math. Soc. (2) 102 (2020) 846–878.
- M. Rabideau and R. Schiffler, Continued fractions and orderings on the Markov numbers, Adv. Math. 370, 26 (2020), Article 107231.
- E. Gunawan and R. Schiffler, Frieze vectors and unitary friezes, J. Comb. 11, 4, 681–703 (2020).
- H. Gao and R. Schiffler, On the number of support $\tau$-tilting modules over Nakayama algebras, SIGMA 16 (2020), 058, 13 pages.
- R. Schiffler and Robinson-Julian Serna, A geometric realization of socle-projective categories for posets of type A, J. Pure Appl. Alg. 224, 12 (2020) Article 106436.
- K. Lee, L. Li, M. Mills, R. Schiffler and A. Seceleanu, Frieze varieties : A characterization of the finite-tame-wild trichotomy for acyclic quivers, Adv. Math. 367 (2020) Article 107130.
- I. Canakci and R. Schiffler, Snake graphs and continued fractions, European J. Comb. Volume 86 (2020).
- W. Chang and R. Schiffler Cluster automorphisms and quasi-automorphisms, Adv. Appl. Math. 110 C (2019) 342-374.
- K. Lee and R. Schiffler, Cluster algebras and Jones polynomials, Sel. Math. New Ser. (2019) 25: 58.
- R. Schiffler Snake graphs, perfect matchings and continued fractions. Snapshots of modern mathematics from Oberwolfach, (2019).
- C. Paquette and R. Schiffler, Group actions on cluster algebras and cluster categories, Adv. Math. 345, (2019) 161-221.
- I. Assem, M.A. Gatica and R. Schiffler, Hochschild cohomology of partial relation extension algebras, Comm. Alg. 46, (2018) Issue 12.
- R. Schiffler, Cluster algebras arising from surfaces, Homological Methods, Representation Theory, and Cluster Algebras, CRM Short Courses, Springer, 2018.
- I. Canakci and R. Schiffler, Cluster algebras and continued fractions, Compos. Math. 154 (3) (2018) 565-593.
- I. Assem, R. Schiffler and K. Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices, Archiv Math. 110, (2018) 9-18.
- R. Schiffler and K. Serhiyenko, Injective presentations of induced modules over cluster-tilted algebras, Algebras and Represent. Theory 21, 2, (2018) 447-470.
- I. Assem, R. Schiffler and K. Serhiyenko, Cluster-tilted and quasi-tilted algebras, J. Pure Appl. Alg. 221, 9, (2017) 2266-2288.
- I. Canakci and R. Schiffler, Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings, Int. Math. Res. Not. rnx157 (2017) 1-82.
- R. Schiffler and K. Serhiyenko, Induced and coinduced modules over cluster-tilted algebras, J. Algebra 472 (2017), 226-258.
- A. Garcia Elsener and R. Schiffler, On syzygies over 2-Calabi-Yau tilted algebras, J. Algebra 470 (2017), 91-121.
- R. Schiffler, Lecture notes on cluster algebras, by Robert J. Marsh, book review, Bull. Amer. Math. Soc. 53 (2016), 325-330.
- I. Assem, M. A. Gatica, R. Schiffler, and R. Taillefer, Hochschild cohomology of relation extension algebras, J. Pure Appl. Alg. 220, 7, (2016), 2471–2499.
- I. Canakci, K. Lee and R. Schiffler, On cluster algebras from unpunctured surfaces with one marked point, Proc. Amer. Math. Soc Ser. B 2 (2015) 35-49.
- I. Assem, M. J. Redondo and R. Schiffler, On the first Hochschild cohomology group of a cluster-tilted algebra, Algebr. Represent. Theory 18 (6), (2015), 1547-1576.
- I. Canakci and R. Schiffler, Snake graph calculus and cluster algebras from surfaces II: Self-crossing snake graphs, Math. Z. 281 (1), (2015), 55-102.
- K. Lee and R. Schiffler, Positivity for cluster algebras, Ann. Math. 182 (1), (2015) 73-125.
- I. Assem, V. Shramchenko and R. Schiffler, Addendum to Cluster automorphisms and compatibility of cluster variables, Glasgow Math. J. 56 (3), (2014).
- I. Assem, V. Shramchenko and R. Schiffler, Cluster automorphisms and compatibility of cluster variables, Glasgow Math. J. 56 (3), (2014) 705-720.
- K. Lee and R. Schiffler, Positivity for cluster algebras of rank 3, Publ. Res. Inst. Math. Sci. 49, (2013) 601-649.
- I. Assem, G. Dupont and R. Schiffler, On a category of cluster algebras, J. Pure Appl. Alg. 218 (3), (2013) 553-582.
- I. Canakci and R. Schiffler, Snake graph calculus and cluster algebras from surfaces, J. Algebra, 382, (2013) 240-281.
- I. Assem, J. C. Bustamante, K. Igusa and R. Schiffler, The first Hochschild cohomology group of a cluster-tilted algebra revisited, Internat. J. Algebra Comput. 23 (4), (2013) 729-744.
- I. Assem, M. A. Gatica, and R. Schiffler, The higher relation bimodule, Algebras Represent. Theory, 16, 4 (2013), 979-999.
- G. Musiker, R. Schiffler, and L. Williams, Bases for cluster algebras form surfaces, Compos. Math 149, 2, (2013) 217-263.
- K. Lee, and R. Schiffler, A Combinatorial Formula for Rank 2 Cluster Variables, J. Alg. Comb. 37, 1, (2013) 67-85.
- K. Lee and R.Schiffler, Proof of a positivity conjecture of M.Kontsevich on non-commutative cluster variables, Compos. Math. 148, 6, (2012) 1821-1832.
- M. Oryu and R. Schiffler, On one-point extensions of cluster-tilted algebras, J. Algebra 357, (2012) 168-182.
- R.Kinser and R. Schiffler, Idempotents in representation rings of quivers, Algebra Number Theory 6, No. 5, (2012), 967-994.
- L. David-Roesler and R. Schiffler, Algebras from surfaces without punctures, J. Algebra 350, (2012), 218-244.
- I. Assem, G. Dupont, R. Schiffler and D. Smith, Friezes, strings and cluster variables, Glasgow Math. J. 54, 1 (2012) 27-60.
- I. Assem, V. Shramchenko, R. Schiffler, Cluster automorphisms, Proc. Lond. Math. Soc. 104(6), (2012), 1271-1302.
- G. Musiker, R. Schiffler, and L. Williams, Positivity for cluster algebras from surfaces, Adv. Math. 227 (2011) 2241-2308.
- I. Assem, T.Brüstle and R. Schiffler, Cluster-tilted algebras without clusters, J. Algebra 324, (2010) 2475-2502.
- K. Igusa and R. Schiffler, Exceptional sequences and clusters, J. Algebra 323, 8, (2010) 2183-2202.
- G. Musiker and R. Schiffler, Cluster expansion formulas and perfect matchings, J. Alg. Comb. 33, 2, (2010) 187-209.
- R. Schiffler: On cluster algebras arising from unpunctured surfaces II, Adv. Math. 223 (2010) 1885-1923.
- R. Schiffler, Cluster algebras and cluster categories, lecture notes for the Latin American Colloquium, Sao Pedro, Brazil, (2009).
- G. Musiker and R. Schiffler, Cluster algebras of unpunctured surfaces and snake graphs, in DMTCS Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 673-684.
- R. Schiffler and H. Thomas, On cluster algebras arising from unpunctured surfaces, Intern. Math. Res. Not. 17 (2009) 3160-3189.
- I. Assem, T. Brüstle and R. Schiffler, On the Galois covering of a cluster-tilted algebra, J. Pure Appl. Alg. 213, (7) (2009) 1450-1463.
- R. Schiffler, A cluster expansion formula (A_n case), Electron. J. Combin. 15 (2008) #R64 1.
- I. Assem, T. Brüstle and R. Schiffler, Cluster-tilted algebras and slices, J. of Algebra 319 (2008) 3464-3479.
- I. Assem, T. Brüstle and R. Schiffler, Cluster-tilted algebras as trivial extensions, Bull. London Math. Soc. 40 (2008) 151-162.
- R. Schiffler, A geometric model for cluster categories of type D_n, J. Alg. Comb. 29, no. 1, (2008) 1-21.
- I. Assem, T. Brüstle, R. Schiffler and G. Todorov, m-cluster categories and m-replicated algebras, J. Pure Appl. Alg. 212 (4) (2008) 884-901.
- I. Assem, T. Brüstle, R. Schiffler and G. Todorov, Cluster categories and duplicated algebras, J. of Algebra 305 (2006) 548-561.
- P. Caldero, F. Chapoton and R. Schiffler, Quivers with relations and cluster tilted algebras, Algebras and Representation Theory 9, no.4, (2006) 359-376.
- P. Caldero, F. Chapoton and R. Schiffler, Quivers with relations arising from clusters (A_n case), Trans. Amer. Math. Soc. 358 , no. 3, (2006) 1347-1364.
- 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).
- P. Caldero and R. Schiffler, Rational smoothness of varieties of representations for quivers of Dynkin type, Annales de l’Institut Fourier 54 (2), (2004) 295-315.
- R. Schiffler, Projective rational smoothness of varieties of representations for quivers of type A, Representation Theory 7 (2003) 549-586.
- R. Bédard, and R. Schiffler, Rational smoothness of varieties of representations for quivers of type A, Representation Theory 7, (2003) 481-548.