## Talks

2015:
• Quillen's metric and the determinant line bundle in noncommutative geometry (Number theory seminar, Johns Hopkins University, Feb. 2015). Pdf file .
• Minicourse at Fields Institute Workshop on the Geometry of Noncommutative Manifolds, Toronto, March 2015. Lecture 1, Lecture 2, Lecture 3. Click here to see all three lectures on video.
• Regularizing divergent products, Undergraduate Pizza Seminar, pdf UWO, April 2015.
• Remarks on spectral action principle. Numcommutative geometry workshop, UWO
2014:
• Curvature of the determinant line bundle in noncommutative geometry. (Colloquium, Nijmegen, Holland, Dec 2014). Pdf file .
• Curvature of the determinant line bundle for noncommutative tori (Hausdorff Institute, Bonn, Germany). Pdf file . Click here to see the lecture on video.
• Rationality of spectral action for Robertson-Walker metrics (Hausdorff Institute, Bonn, Germany). Pdf file . Click here to see the lecture on video.
• The Music of Quantum Spheres. (Fields Institute Undergraduate Summer Research Program Presentation, May 2014, Toronto). Pdf file . Click here to see my students' presentation in the final conference.
• Introduction to noncommutative geometry (4 lectures. Hausdorff Institute Summer School, Bonn, Germany). Click here, here, and here to see the lectures on video (the first lecture was not recorded).
• Scalar Curvature, Gauss-Bonnet Theorem and Einstein-Hilbert Action for Noncommutative Tori. Perimeter Institute, Waterloo, Ontario. Pdf file . Click here to see the lecture on video.
• On the spectral action principle for Robertson–Walker metrics (Noncommutative Geometry Festival, in honor of Henri Moscovici, Texas A&M). . Pdf file .
• The Spectral Geometry of Curved Noncommutative Tori. (Canadian operator algebra symposium, Fields Institute, July 2014). Pdf file .
• Spectral zeta functions in noncommutative geometry (Banach center conference: From Poisson brackets to universal quantum symmetries. Warsaw, Poland, August 2014). Pdf file .
2013:
• A noncommutative view of zeta regularized determinants and analytic torsion. (Colloquium, Math department, MacMaster University, Nov 2013.) Pdf file .
• The spectral point of view in geometry (Colloquium, department of mathematics, university of Windsor, Feb 2013). Pdf file .
• Scalar curvature, Einstein-Hilbert action, and Connes’ trace theorem for noncommutative 4-tori (Oberwolfch meeting on noncommutative geometry, Sept 2013) Pdf file .
• First steps in quantum computing (Pizza Seminar talk, UWO, April 2013.) Pdf file .
• Spectral zeta functios and scalar curvature for noncommutative 4-tori (Texas A&M meeting on functional analysis). Pdf file .
• Scalar curvature and local spectral invariants in noncommutative geometry. (Fields Institute, Toronto, June 17-21. Invited to give a series of 4 lectures in the con- ference ‘Noncommutative Geometry and Quantum Groups). Pdf file .
• Spectral zeta functions, scalar curvature and Einstein- Hilbert action for noncommutative 4-tori. (Institute for advanced studies in physics and mathematics, Two-day Meeting on NCG & Physics, School of Physics, IPM, Tehran, May 8- 9, 2013). Pdf file .
• The determinant of Cauchy-Riemann operators in noncommutative geometry (Institute for advanced studies in physics and mathematics, School of Mathematics, IPM, Tehran, May 7, 2013). Pdf file .
• The determinant line bundle and Quillen metric in noncommutative geometry (Talk in Banff Research Station meeting on Operator algebras and dynamical systems from number theory, Nov 2013). Pdf file .
2012:
• Spectral aspects of noncommutatve geometry. (Sharif University of Technology Conference in honor of Siavash Shahshahani: Frontiers of Mathematics, Dec 25-27, 2012, Tehran) Pdf file .
• Spectral zeta functions and scalar curvature for noncommutative two tori. (Sharif University of Technology Conference: Frontiers of Mathematics, Dec 25-27, 2012, Tehran). Pdf file .
• Curvature in noncommutative geometry. (Institute for advanced studies in physics and mathemat ics, one day meeting on Noncommutative Geometry and Physics, Dec 23, Tehran). Pdf file .
• Scalar Curvature for the Noncommutative Two Torus. (Ohio State Conference on Noncommutative Geometry: Multiple Connections. May 7-18, 2012). Pdf file .
• Spectral Zeta Functions and Scalar Curvature for Noncommutative Tori. (Canadian Operator Symposium, Kingston Ontario, May 21 - 25, 2012). Pdf file .
• Weyl's Law at 101. (Colloquium, UWO Math dept. 2012). Pdf file .
• 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 Pdf file
• Invited talk, Noncommutative Geometry Days in Istanbul, Istanbul, Turkey, July 2011; Spectral invariants of noncommutative geometry. Pdf file
• Plenary speaker: Annual Canadian Operator Algebra Symppsium, University of Victoria, Canada, May 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry. Pdf file
• 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. Pdf file .
• 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. Lecture 6 Pdf file
• 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. Pdf file .
• Invited lecture series (4 lectures): IPM, Tehran, May 2010; The Gauss-Bonnet Theorem for the Noncommutative Two Tori.
• Invited talk (delivered by my student F. Fathizadeh): CMS Summer Meeting, Fredericton, Canada, June 4-6, 2010: The Gauss-Bonnet theorem for the noncommutative torus. Pdf
• 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. Pdf file .
• Invited talk: Analysis Seminar, University of Waterloo, January 2010; Complex geometry of the quantum projective line. Pdf file
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. Pdf file .
• 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.