## 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:

- 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.*