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Thomas Brüstle

Professeur, Faculté des sciences
FAC. SCIENCES Mathématiques

Présentation

Sujet de recherche

Algèbre, Combinatoire (Math), Géométrie, Mathématiques discrètes

Disciplines de recherche

Mathématiques fondamentales

Mots-clés

algèbres amassées, représentations, triangulations

Intérêts de recherche

Ma recherche se concentrera sur l'interaction entre les algèbres amassées et triangulations des surfaces.

Langues parlées et écrites

Allemand, Anglais, Français

Diplômes

(2002). (Habilitation, Habilitation). Universitat Bielefeld.

(1995). (Doctorat, Ph.D.). University Zürich.

(1990). (Maîtrise avec mémoire, Diplom). University Zürich.

(1987). (Equivalent au baccalauréat, Vordiplom). Ludwig-Maximilians Universität München.

Publications

Articles de revue

  • Thomas Brüstle, Stephen Hermes, kiyoshi Igusa, and Gordana Todorov. (2015). Semi-invariant pictures and two conjectures on maximal green sequences. Journal of Algebra and Number Theory (Article soumis).
  • Thomas Brüstle and Shengyong Pan. (2015). Transfer of derived equivalences from subrings to endomorphism algebras. Journal of Algebra and its Applications (Article sous presse).
  • Th.Brüstle and Y.Qiu. (2015). Tagged Mapping Class Groups I: Auslander-Reiten Translation. Mathematische Zeitschrift 279 (3), 1103-1120. (Article publié).
  • L.Beaudet, Th. Brüstle and G.Todorov. (2014). Projective dimension of modules over cluster-tilted algebras. Algebras and Representation Theory 17 (6), 1797-1807. (Article publié).
  • Th. Brüstle, G. Dupont and M. Pérotin. (2013). On Maximal Green Sequences. International Mathematics Research Notices doi:10.1093/imrn/ (rnt075), (Article publié).
  • Th. Brüstle and J.Zhang. (2013). A module-theoretic interpretation of Schiffler’s expansion formula. Communications in Algebra 41 (1), 260-283. (Article publié).
  • Th. Brüstle and J.Zhang. (2011). On the cluster category of a marked surface. Algebra & Number Theory 5 (4), 529-566. (Article publié).
  • A. Beineke, Th. Brüstle and L. Hille. (2011). Cluster-Cyclic Quivers with three Vertices and the Markov Equation. Algebras and Representation Theory 14 (1), 97-112. (Article publié).
  • Th. Brüstle, J.-A. de la Pena and A. Skowronski. (2011). Tame algebras and Tits quadratic forms. Advances in Mathematics 226 887-951. (Article publié).
  • I. Assem, Th. Brüstle and R. Schiffler. (2010). Cluster-tilted algebras without clusters. Journal of Algebra 324 2475-2502. (Article publié).
  • I. Assem, Th. Brüstle, G. Charbonneau-Jodoin and P.-G. Plamondon. (2010). Gentle algebras arising from surface triangulations. Algebra and Number Theory 4 (2), 201-229. (Article publié).
  • I. Assem, Th. Brüstle and R. Schiffler. (2009). On the Galois coverings of a cluster-tilted algebra. Journal of Pure and Applied Algebra 213 (7), 1450-1463. (Article publié).
  • I. Assem, M. Blais, Th. Brüstle, and A. Samson. (2008). Mutation classes of skew-symmetric 3 × 3−matrices. Comm. Algebra 36 (4), 1209-1220. (Article publié).
  • I. Assem, Th. Brüstle, R. Schiffler and G. Todorov. (2008). m-cluster categories and m-replicated algebras. Journal of Pure and Applied Algebra 212 (4), 884-901. (Article publié).
  • I. Assem, Th. Brüstle and R. Schiffler. (2008). Cluster-tilted algebras and slices. Journal of Algebra 319 3464-3479. (Article publié).
  • I. Assem, Th. Brüstle and R. Schiffler. (2008). Cluster-tilted algebras as trivial extensions. Bulletin of the London Mathematical Society 40 151-162. (Article publié).

Articles de conférence

  • Thomas Brüstle and Dong Yang. (2014). Ordered Exchange Graphs. EMS Series of Congress Reports: Advances in Representation Theory of Algebras, 135-193. (Article publié).

Autres contributions

Gestion d'évènements

  • Organizer. Advances in Representation Theory of Algebras, UQAM, Montral. (Conférence).
  • Organizer. CRM Workshop on Hall and Cluster Algebras, as part of the thematic semester New Directions in Lie Theory, Montreal, 2014. (Atelier).
  • Organizer. Colloque Surfaces et Representations, Sherbrooke. (Conférence).
  • Organizer. Colloque d’algèbre non commutative, Sherbrooke. (Conférence).
  • Organizer. Special session in Representations of Algebras at the summer meeting of the Canadian Mathematical Society, Fredericton. (Conférence).
  • Organizer. Workshop on Cluster algebras, representation theory, and Poisson geometry, Banff International Research Station. (Atelier).
  • Organizer. XXIIIrd Meeting on REPRESENTATION THEORY of ALGEBRAS, Bishop's University. (Conférence).
  • Organizer. XXIInd Meeting on REPRESENTATION THEORY of ALGEBRAS, Sherbrooke University. (Conférence).
  • Organizer. XXIVth Meeting on REPRESENTATION THEORY of ALGEBRAS, Sherbrooke University. (Conférence).
  • Organizer. XXIst Meeting on REPRESENTATION THEORY of ALGEBRAS, Bishop's University. (Conférence).
  • Organizer. XXVth Meeting on REPRESENTATION THEORY of ALGEBRAS, Bishop's University. (Conférence).

Présentations

  • (2015). On the non-leaving face property. Conference on Silting and related topics. Verona
  • (2015). The boundary algebra. ARTA conference on algebra and representation theory,. Guanajuato
  • (2015). On the non-leaving face property for associahedra. International Conference on Representations of Algebras and Related Topics.
  • (2015). Tilting and Cluster tilting Theory. workshop on Cluster Algebras and Dynamical Systems. Munster
  • (2015). On the non-leaving face property. CAAC2015 - Combinatorial Algebra meets Algebraic Combinatorics. Kingston
  • (2014). Tilting and Cluster tilting Theory. KIAS conference on Cluster Algebras and Representation Theory,. Seoul
  • (2014). Singularities and boundary algebras. International Conference on Representations of Algebras. Sanya
  • (2013). The decorated mapping class group of a marked surface. PRIMA 2013 conference. Shanghai
  • (2013). On the cluster category of a marked surface. LMS Northern Regional Meeting & Workshop on Triangulations and Mutations. Newcastle upon Tyne
  • (2012). On maximal green sequences. ARTA conference on algebra and representation theory. Guanajuato
  • (2012). On maximal green sequences. Morningside Center for Mathematics, Chinese Science Academy, Beijing, lecture series. Beijing
  • (2012). On maximal green sequences. XV-th ISM Quebec Student Conference. Montreal
  • (2012). Poset structures on the cluster exchange graph. International Conference on Representations of Algebras and Related Topics. Woods Hole
  • (2012). On maximal green sequences. Cluster categories and cluster tilting, A conference honoring Idun Reiten on the occasion of her 70th birthday,. Trondheim
  • (2011). Projective dimension of modules over cluster-tilted algebras. CMS winter meeting. Toronto
  • (2011). Projective dimension of modules over cluster-tilted algebras. Shanghai Conference on Representation Theory of Algebras. Shanghai
  • (2011). Cluster algebras and quiver mutations. Canadian Undergraduate Mathematics Conference. Quebec
  • (2011). Cluster structures from surfaces without punctures. International Conference on Representations of Algebras and Related Topics. Woods Hole
  • (2011). Cluster Algebras and Geometry. ISM winter school. Montreal
  • (2010). On the cluster category of a marked surface without punctures. AMS sectional meeting. Syracuse
  • (2010). Cluster Categories from Surfaces. CMS summer meeting. Fredericton
  • (2009). Cluster algebras from surfaces. International Conference on Representations of Algebras and Related Topics. Woods Hole
  • (2008). On cluster tilted algebras. CMS winter meeting. Ottawa
  • (2008). On the cluster category of a marked surface. International Conference on Cluster Algebras and Related Topics. Mexico
  • (2008). The quiver of a cluster tilted algebra. International Conference on Representations of Algebras and Related Topics. Woods Hole