Ph.D. (Hanover), Professor of Mathematics, Vice-Principal (Academic) and Dean, UTSC
Ragnar-Olaf Buchweitz

Phone: (416) 287-7027

Office: AA424

Email: ragnar@utsc.utoronto.ca

 

Research Interests: Commutative algebra, algebraic geometry, singularities

List of publications :

  1. ``Morita Contexts, Idempotents, and Hochschild Cohomology - with Applications to Invariant Rings'', 28 pp., to appear in Contemporary Mathematics series volume (Conference Proceedings for Summer 2001 Grenoble and Lyon conferences, edited by: L. Avramov, M. Chardin, M. Morales, and C. Polini)
     
  2. (with S. Liu): ``Hochschild Cohomology and Representation-finite Algebras'', 26 pp., to appear in Proc. London Math. Society .
     
  3. (with L.L. Avramov and L.M. Sega): ``Extensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa'', 18 pp., to appear in Journal of Pure and Appl. Algebra.
     
  4. (with S. Liu): ``Dimension of the Mesh Algebra of a Finite Auslander-Reiten Quiver''; 10 pp., to appear in Communications in Algebra.
     
  5. (with H. Flenner): ``A Semiregularity Map for Modules and Applications to Deformations.'', 66 pp., to appear in Compositio Math.
  6. (with S. Liu): ``Artin Algebras with Loops but no Outer Derivations''; Algebras and their Representations 5(2) (2002), 149-162.
     
  7. (with L. Avramov): ``Cohomology and Support Varieties over Complete Intersections'', Inventiones Math. 142 (2000), 285-318.
     
  8. (with L. Avramov): ``Homological Algebra modulo a Regular Sequence with Special Attention to Codimension Two.'', Journal of Algebra 230 (2000), 24-67.
     
  9. (with H. Flenner): ``The Atiyah-Chern Character yields the Semiregularity Map as well as the Infinitesimal Abel-Jacobi Map.'' Proc. of the NATO ASI/CRM Summer School ``The Arithmetic and Geometry of Algebraic Cycles '', Banff, Alberta, June 7-19, 1998; CRM Proceedings and Lecture Notes 24 (2000), 33-46.
     
  10. ``Finite Representation Type and Periodic Hochschild (Co-) Homology.'' in
    ``Trends in the Representation Theory of Finite Dimensional Algebras '', Proceedings of 1997 Joint AMS-IMS-SIAM Summer Research Conference, Seattle, USA, July 20-24, 1997, ed. by E. L. Green and B. Huisgen-Zimmermann; Contemporary Mathematics 229, 81-109, (1998).
     
  11. (with Q. Chen): ``Hilbert-Kunz Functions of Cubic Curves and Surfaces'', J. of Algebra 197, 246-267, (1997).
     
  12. (with L. Avramov, J. Sally): ``Laurent Coefficients and Ext for Finite Modules'', Math. Annalen 307, 401-415, (1997).
  13. (with J. Millson): ``CR Geometry and Deformations of Isolated Singularities'', Memoirs of the AMS , vol. 125, no. 597, January 1997, viii+96 pages
     
  14. (with H. Flenner): ``Unfoldings of Holomorphic Maps as Deformations'', 95-118, in Complex Analysis and Geometry , ed. by V. Ancona et al., Lect. Notes in Pure and Appl. Math. Series 173, Marcel Dekker, Inc., New York 1995.
     
  15. (with M.El Haouari): ``Cohomologie de Hochschild et espaces projectifs tronqu\acutees'', Manuscripta Math. 86, 49-61, (1995).
     
  16. (with L. Avramov): ``Lower Bounds for Betti Numbers'', Compositio Math. 86, 147-158, (1993).
     
  17. (with M. Auslander): ``The homological theory of Maximal Cohen-Macaulay Approximations'', Société Mathématique de France, M\acuteemoire no. 38, 5-37, (1989).
     
  18. (with D. Eisenbud and J. Herzog): ``Cohen-Macaulay Modules on Quadrics'', in: Singularities, Representation of Algebras, and Vector Bundles , Proceedings, Lambrecht 1985, Springer Lecture Notes 1273, 58-95, (1987).
     
  19. ``The Comparison Theorem'', separate appendix to (6), 96-116.
  20. (with G.-M. Greuel and F.-O. Schreyer): ``Cohen-Macaulay Modules on Hypersurface Singularities II'', Inventiones Math. 88, 165-182 (1987).
     
  21. (As editor, together with J.M. Aroca et al.): ``Algebraic Geometry, Proceedings, La Rabida, 1981'', Springer Lecture Notes in Mathematics 961, Springer Verlag 1982.
     
  22. ``Contributions à la théorie des singularités:
    1. Déformations de Diagrammes, Déploiements et Singularités très rigides, Liaison algébrique
    2. On Zariski's Criterion for Equisingularity and Non-Smoothable Monomial Curves''.

    Thèses, Paris VII, 1981.

  23. (with G.-M. Greuel): ``Le nombre de Milnor, équisingularité et déformations des courbes réduites'', in: Séminaire sur les Singularités, ed. par Lê D.T., Publications math. de l'Univ. Paris VII no. 7, 13-30, (1980); a commented summary of the results in (24).
  24. (with G.-M. Greuel): ``The Milnor Number and Deformations of Complex Curve Singularities'', Inventiones Math. 58, 241-281, (1980)
  25. (with G.-M. Greuel): ``Le nombre de Milnor, équisingularité et déformations de singularités des courbes réduites, C.R. Acad. Sci. , Paris, Ser. A. 288, 35-38, (1979). (This is an announcement of the results in (24).)
     
  26. ``On Deformations of Monomial Curves'', in: Séminaire sur les Singularités des Surfaces, Centre de Math. de l'Ecole Polytechnique, Palaiseau, 1976/77 (ed. par M. Demazure et al.), 205-220, Springer Lecture Notes in Mathematics 777, Springer Verlag 1980.
     
  27. Über Deformationen monomialer Kurvensingularitäten und Weierstraßpunkte auf Riemannschen Flächen, Dissertation Hannover 1976.
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Department of Mathematics Universityof Toronto at Scarborough CSMS at Scarborough