Talks

2011:
  • Invited talk: CMS winter meeting,Toronto, December 2011; Scalar Curvature for the Noncommutative Two Torus I.
  • Invited minicourse (3 lectures, joint with F. Fathizadeh), Toronto, December 2011; Spectral invariants and noncommutative geometry.
  • Algebra seminar, UWO, September 2011; Curvature in noncommutative geometry.
  • Invited talk, Oberwolfach meeting on Noncommutative Geometry, Oberwolfach, Germany, September 2011; Computing the modular curvature of the noncommutative two torus.
  • Invited talk, Noncommutative Geometry Days in Istanbul, Istanbul, Turkey, July 2011; Spectral invariants of noncommutative geometry.
  • Plenary speaker: Annual Canadian Operator Algebra Symppsium, University of Victoria, Canada, May 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry.
  • Invited talk: The 10th Annual Noncommutative Geometry and Operator Algebra Spring Institute, Vanderbilt University, USA, May 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry.
  • Colloquium: Department of Mathematics, University of Waterloo, Feb. 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry.
  • Invited talk: Operator Algebra Seminar, University of Toronto, January 2011; Gauss-Bonnet theorem in noncommutative geometry.
2010:
  • Invited lecture series (6 lectures): Feza Gursey Institute, Istanbul, Turkey, Decemebr 2010; Metric Aspects of Noncommutative Geometry.
  • Invited talk: Geometry and Physics VIII, Scalea, Italy, September 13-17, 2010; The Gauss-Bonnet theorem for the noncommutative torus.
  • Invited graduate course: AARMS Summer School, Fredericton, NB, Canada, July 11-August 7, 2010; Introduction to Noncommutative Geometry.
  • Invited lecture series (3 lectures): Noncommutative geometry days in Istanbul, Istanbul, Turkey, June 25-27, 2010; Noncommutative Geometry.
  • Colloquium : IPM, Tehran, May 2010; The Nature of Space in Noncommutative Geometry.
  • Invited lecture series (4 lectures): IPM, Tehran, May 2010; The Gauss-Bonnet Theorem for the Noncommutative Two Tori.
  • Invited talk (delivered by my collaborator F. Fathizadeh): CMS Summer Meeting, Fredericton, Canada, June 4-6, 2010: The Gauss-Bonnet theorem for the noncommutative torus.
  • Invited talk: Noncommutative Geometry and Applications to Number Theory, The Ohio State University, April 12-16, 2010; The Gauss-Bonnet theorem for the noncommutative torus.
  • Invited talk: Analysis Seminar, University of Waterloo, January 2010; Complex geometry of the quantum projective line.
2009:
  • Colloquium: York University, Toronto, October 19, 2009; Complex Structures in Noncommutative Geometry.
  • Invited talk: Noncommutative Geometry in Representation Theory and Integrable Systems, Trieste, Italy, July 2009; Complex structures on the quantum projective line.
  • Invited talk: Conference on Noncommutative Geometric Methods in Global Analysis (in honor of Henri Moscovici's 65 the birthday), Hausdorff Institute, Bonn, Germany, June 2009: Complex structures on the quantum projective line.
  • Invited lecture series (4 lectures): The second school and conference on noncommutative geometry, IPM, Tehran, April 2009: Topological and Metric Aspects of Noncommutative Geometry.
  • Invited talk: Noncommutative Geometry, Arithmetic and Related Topics (JAMI 2009), Johns Hopkins University, March 2009; Holomorphic structures on the quantum projective line.
  • Invited lecture series: Johns Hopkins University, Department of Mathematics (JAMI program 2008-2009), March 2009; Minicourse on noncommutative geometry.
2008:
  • Invited talk: CMS Winter Meeting 2008, Ottawa, Canada, Dec. 2008; The algebra of formal twisted pseudodifferential symbols and a noncommutative residue.
  • Invited talk: Analysis Seminar, SUNY (Buffalo), Oct. 2008; Formal twisted pseudodifferential symbols and a noncommutative residue.
  • Invited talk: American Mathematical Society Sectional Meeting, Special Session on Noncommutative Geometry, Vancouver, Canada, Oct. 2008; Formal twisted pseudodifferential symbols and a noncommutative residue.
  • Invited talk: Conference on Noncommutative Geometry, Trimester Program on Geometry and Physics, July 27-August 7, 2008, Hausdorff Research Institute for Mathematics, Bonn, Germany; The algebra of formal twisted pseudodifferential symbols and a noncommutative residue.
  • Invited lecture series (5 Lectures): Hausdorff Research Institute for Mathematics, June and July 2008; Bonn, Germany; Introduction to noncommutative geometry.
2007:
  • Invited lecture series (3 lectures) : Max Planck Institute Meeting on Hochschild and cyclic cohomology, Bonn, July 2007; Lectures on Hopf cyclic cohomology.
  • Invited lecture series (5 lectures): IPM, Tehran, August 2007; Lectures on Noncommutative geometry.
  • Invited lecture series (5 lectures): International School and Conference of Noncommutative Geometry, Chern Institute of Mathematics, Nankai University, Tianjin, China, August 15-30, 2007; Local index formula.
  • Invited talk: Conference in honor of Alain Connes' 60th Birthday, Paris, March 29-April 6, 2007; Hopf cyclic cohomology-some new ideas and a tribute to Alain.
  • Invited talk (5 lectures): The Fifth Annual Spring Institute on Noncommutative Geometry and Operator Algebras, May 2007; Lectures on Hopf cyclic cohomology and noncommutative geometry.
2006:
  • Invited talk: Newton Institute Workshop, July 31-August 4, 2006; Noncommutative geometry and cyclic cohomology.
  • Invited lecture series (12 lectures): IPM, August 12-17, 2006; Lectures on cyclic cohomology.
  • Invited talk: Isaac Newton Institute for Mathematical Sciences, University of Cambridge, England, December 15, 2006; Hopf cyclic cohomology: why and how.
2005:
  • Invited lecture series (4 lectures): International Workshop on Noncommutative Geometry, IPM, Tehran, Iran, September 11-22, 2005; Introduction to Alain Connes' book on noncommutative geometry.
  • Invited talk: International Workshop on Noncommutative Geometry, IPM, Tehran, September 11-22, 2005; Excision in Hopf cyclic cohomology.
  • Colloquium: UWO, February 2005; Quantum field theory, renormalization and noncommutative geometry.
  • Invited lecture series (4 lectures): UWO Motives Seminar, February-March, 2005; Hodge theory for Riemannian manifold.
  • Invited talk: Carleton Functional Analysis 2005 days, quantum methods in modern analysis, Carleton University, Ottawa, April 2005; Locally compact quantum groups, noncommutative geometry and cyclic cohomology.
  • Invited talk: Penn State University, Pennsylvania, Conference in honor of Jerry Kaminker, May 2005; The ubiquity of Hopf algebras in noncommutative geometry.
2004:
  • Invited talk: Noncommutative Geometry and K-Theory Conference, Institut Henri Poincare, Paris, France, July 2004; Yetter-Drinfeld modules and Hopf-cyclic cohomology.
  • Invited talk: Fields Institute Conference on Noncommutative Geometry, the Local Index Formula and Hopf Algebras, Toronto, Ontario, September 2004. Renormalization and motivic Galois theory (after Connes and Marcolli).
  • Invited talk: , Noncommutative Geometry Conference, Mathematisches Forschung Institute, Oberwolfach, Germany, September 12-18, 2004; Cup products in Hopf cyclic cohomology and Connes-Moscovici characteristic map.
  • Invited talk: Geometry and Topology Seminar, Department of Mathematics, University of Waterloo, Waterloo, Ontario, March 2004; Noncommutative geometry and transverse symmetries.
  • Invited talk: Fields Institute Seminar on Arithmetic and Geometry of Higher Dimensional Varieties with Special Emphasis on Calabi-Yau Varieties and Mirror Symmetry, March 27-28, 2004; Fourier-Mukai transform and holomorphic noncommutative geometry.
  • Invited lecture series (6 lectures): IPM, Tehran, Iran, April 2004; Hopf algebras and noncommutative geometry.
  • Invited talk: , Sharif University, Tehran, Iran, April 2004. From Hopf bundle to noncommutative geometry.
  • Invited talk: University of Tehran, April 2004; Introduction to noncommutative geometry.
  • Invited minicourse (4 lectures): Vanderbilt School and Conference on Noncommutative Geometry, Vanderbilt University, Nashville, Tennessee, May 2004; Hopf algebras and cyclic cohomology.
  • Invited minicourse (2 lectures): School and Conference on Noncommutative Geometry and its Applications to Physics, CIRM, Marseille, France, February 2004; Hopf-cyclic cohomology and quantum groupoids.
  • Invited talk: Fields Institute Weekend Meeting on Operator Algebras, March 2004; From transverse index theory to Hopf-cyclic cohomology via the local index formula.
2003:
  • Invited talk: Noncommutative Geometry and Number Theory Conference, Max Planck Institute, Bonn, Germany, August 18, 2003; Hopf-cyclic cohomology with coefficients.
  • Invited talk: Operator Algebra Seminar, University of Muenster, Muenster, Germany, August 27, 2003 ; Two perspectives on cyclic cohomology of Hopf algebras.
  • Invited talk: American Mathematical Society Meeting, Boulder, Colorado, October 2003; On the cyclic cohomology of extended Hopf algebras.
  • Invited talk: American Mathematical Society Meeting, Boulder, Colorado, October 2003; Cyclic cohomology of Hopf algebras with coefficients.
  • Invited talk: Analysis Seminar, Mathematics Department, Laval University, Quebec City, November 2003; Fibre bundles, Hopf algebroids, and noncommutative geometry.
  • Invited talk: Colloquium, Department of Mathematics, University of South Florida, Tampa, Florida, February 2003; Noncommutative geometry: old and new.
  • Invited talk: Conference on Arithmetic and Geometry of Higher Dimensional Varieties with Emphasis on Calabi-Yau Varieties and Mirror Symmetry, Fields Institute, Toronto, Ontario, March 2003; An introduction to noncommutative geometry.
  • Invited talk: Vanderbilt Spring School on Noncommutative Geometry, Vanderbilt University, Nashville, Tennessee, May 12, 2003; Hopf-cyclic homology and cohomology with coefficients
  • Invited talk: Workshop on Alternative Approaches to Baum-Connes Conjectures, Banff International Research Station, Banff, Alberta, May 24-29, 2003; Two lectures on deformation quantization.
2002:
  • Invited talk: Sharif University, Tehran, Iran, July 2002; Introduction to invariant cyclic homology.
  • Invited talk: Trieste, Italy, July 2002; Invariant cyclic homology, talk based on joint paper (delivered by my student B. Rangipour)
  • Invited talk: Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, Fields Institute, Toronto, Ontario, September 23-28, 2002; Cyclic homology of Hopf algebroids.
  • Invited talk: Colloquium, Department of Mathematics, Queens University, Kingston, Ontario November 2002; Noncommutative geometry and quantum symmetry.
  • Invited talk: Canadian Mathematical Society Annual Meeting (Operator Algebra Session), Ottawa, Ontario, December 2002; Invariant cyclic homology.
2001:
  • Invited Lecture series (10 Lecture): Fields Institute, Toronto, Ontario, Fall 2001; Ten lectures on noncommutative geometry.
  • Invited talk: Department of Physics, The University of Western Ontario, March 2001; Mathematics and physics of the Bohm-Aharonov effect.
  • Invited talk: talk for undergraduate physics students, The University of Western Ontario, Spring 2001; Mathematics and physics of perturbation theory.
2000:
  • Invited talk: American Mathematical Society Meeting (Session in Operator Theory and Operator Algebras), Toronto, September 2000; Differential forms on quantum groups and cyclic cohomology of Hopf algebras.
  • Invited talk: American Mathematical Society Meeting (Session in Noncommutative Geometry), Toronto, September 2000; A new complex for cyclic cohomology of Hopf algebras.
  • Invited talk: Analysis Seminar, Mathematics Department, University of Saskatoon, November 2000; Cyclic cohomology of quantum groups.
  • Invited talk: Colloquium talk, Mathematics Department, University of Saskatoon, November 2000; Noncommutative geometry and Hopf algebras.
  • Invited talk: Undergraduate Seminar, Department of Mathematics, The University of Western Ontario, March 2001; Noncommutative geometry lite.
  • Invited talk (delivered by my collaborator R. Akbarpour): Canadian Operator Symposium, Toronto, June 2000; A K \"{u}nneth formula for cyclic homology of Hopf algebras.
  • Invited talk (delivered by my collaborator B. Rangipour): Canadian Operator Symposium, Toronto, June 2000; A generalized cyclic Eilenberg-Zilber theorem.
1999:
  • Invited talk: First Canada-China Mathematics Congress, Tsinghua University, Beijing, China, August 23, 1999; Report on progress in continuous cyclic cohomology.
  • Invited talk: American Mathematical Society Session on Operads, Algebras and Applications, Buffalo, New York, April 24-25, 1999; Homology of $A_{\infty}$ and $L_{\infty}$-algebras.
1998:
  • Invited talk: American Mathematical Society Meeting, Pennsylvania State College, College Station, Pennsylvania, October 24-26, 1998; Cyclic homology and homotopical algebra.
  • Invited talk: Conference in honor of P.A. Fillmore and H. Radjavi, Dalhousie University, Halifax, Nova Scotia, June 1998; Cyclic homology of DG coalgebras and a K\"{u}nneth formula.
1997:
  • Invited talk: Conference on Recent Results in Noncommutative Geometry, Lisbon, Portugal, September 11-13, 1997; Operations on cyclic homology, the X complex and a conjecture of Deligne.
  • Invited talk: Joint Differential Geometry and Topology Seminar, McGill University, Universite du Quebec a Montreal, and Concordia University, November 21, 1997; Operations on cyclic homology, a conjecture of Deligne and Kontsevich's formality theorem.
  • Invited talk: Annual Meeting of the American Mathematical Society, San Diego, California, January 1997; Operations on cyclic homology, the X-complex and a conjecture of Deligne.
  • Invited talk: Ontario Topology Seminar, Fields Institute, Toronto, Ontario, April 1997; On equivariant cyclic homology.
  • Invited talk: American Mathematical Society Meeting, Detroit, Michigan, May 1997; $A_{\infty}$-structures in cyclic homology.
  • Invited talk: Joint Meeting of Canadian Operator Algebra Symposium and Great Plains Operator Symposium, Kingston, Ontario, May 1997; New dimensions in noncommutative geometry.
1996:
  • Invited talk: International Centre for Theoretical Physics, Trieste, Italy, June 1996; Operations on cyclic homology and a conjecture of Deligne.
1995:
  • Colloquium: Guelph University, February 1995; Noncommutative geometry.
  • Invited talk: University of Western Ontario, February 1995; Cyclic homology, old and new.
1994:
  • Invited lecture series (3 lectures): Fields Institute, November 1994; Introduction to cyclic homology.
  • Colloquium: Dalhousie University, March 1994; Cyclic cohomology and noncommutative geometry.
  • Invited talk: Operator Theory Seminar, Dalhousie University, March 1994; Entire cyclic cohomology and finite cohomological dimension.
  • Invited talk: 25th AIMC, Tehran, March 1994, Algebraic connections and cyclic cohomology.
1992:
  • Invited talk: Institute for Studies in Theoretical Physics and Mathematics, Tehran, July 1992; Operations on cyclic homology.
  • Invited talk: Institute for Studies in Theoretical Physics and Mathematics, Tehran, July 1992; What is noncommutative geometry?
  • Invited talk: Algebraic K-theory Seminar, Paris, France, February 1992; A generalized Morita invariance for entire cyclic cohomology.
1992:
  • Invited talk: Algebra and Topology Seminar, University of Strasbourg, France, November 1991; Action of higher Hochschild groups on entire cyclic cohomology.
  • Invited talk: 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, June 1991; Some aspects of entire cyclic cohomology.