__Current Addresses__

*Office*

Department of Mathematics 312 McAllister Building The Pennsylvania State University University Park, PA 16802 Telephone: 814-863-0545 or 814-865-7527 Fax: 814-865-3735 Email: pxb6@psu.edu

*Home*

539 Ridge Avenue State College, PA 16803-3442 Telephone: 814-237-4128

__Personal information__

- US citizen

__Education__

- Ph. D., Princeton University, 1963. Thesis advisors: John Moore and Norman Steenrod
- M. A., Princeton University, 1961
- A. B., Harvard College, 1958, summa cum laude

__Employment__

- Evan Pugh University Professor in Mathematics, Pennsylvania State University, 1996-
- Distinguished Professor, Pennsylvania State University, 1991-96
- Professor, Pennsylvania State University, 1987-91
- Professor, Brown University, 1971-87
- Associate Professor, Brown University, 1967-71
- Assistant Professor, Princeton University, 1965-67

__Visiting Appointments__

- Gauss Professor, University of Göttingen, 2016
- Project Professor, University of Tokyo, 2015
- Courant Visiting Professor, University of Göttingen, 2012
- Visiting Member, Institute for Advanced Study (IAS), 1964-65, 1976-77, 2004
- Visiting Mathematician, Institut des Hautes Etudes Scientifiques (IHES), 1980-2002
- Visiting Member, Mathematical Sciences Research Institute (MSRI):1984, 1987, 1989, 2001
- Visiting Associate Professor, Princeton University, 1967-68
- Post-Doctoral Fellow, Oxford and Cambridge Universities, 1963-64

__Honors__

- Meeting in honor of 80th birthday, Fields Institute (Toronto), 2016
- Honorary Doctorate, Australian National University (Canberra), 2012
- Fellow of the AMS, 2012
- Honorary Doctorate, University of Colorado (Boulder), 2011
- Meeting in honor of 70
^{th}birthday, Polish Academy of Sciences (Warsaw) 2007 - Meeting in honor of 60
^{th}birthday, University of Colorado (Boulder), 1996 - Phi Beta Kappa, Harvard College, 1957

__Selected Lecture Series__

- Rademacher Lectures, University of Pennsylvania, 2018.
- Takagi Lectures, Mathematical Society of Japan, University of Tokyo, 2012.
- Conference on Quantum Fields and K-Theory, Erwin Schrödinger Institute, Vienna, 2012.
- Conference on Harmonic Analysis, Deformation Quantization, and Non-Commutative Geometry, Scalea, Italy, 2011.
- Representation Theory XII Conference, University of Dubrovnik, Croatia, 2011.
- Shanks Workshop Lecture Series, Vanderbilt University, 2008.
- Sedano Winter School on K-Theory, Burgos, Spain, 2007.
- Distinguished Lecture Series, University of Hawaii, 2006.
- DeLong Lectures, University of Colorado (Boulder), 2005
- Keio University, Pathways Lecture Series in Mathematics, Yokohama, Japan, 2005.
- Kemeny Lectures, Dartmouth College, 2004
- Main speaker, Summer School on K-theory of C* Algebras, and the Baum-Connes Conjecture, University of Göttingen, 2000
- Main speaker, Geometry-Topology Colloquium, University of Bologna, 2002.
- Main speaker “Introduction to the Baum-Connes Conjecture,” Conference on Non-Commutative Geometry and Quantum Groups, Stefan Banach Centre,Mathematical Institute of the Polish Academy of Sciences, Warsaw, 2000
- Frontiers in Mathematics Lectures, Texas A & M University, 2000
- Max Planck lectures in Mathematics, “K theory and the index of elliptic operators,”Max Planck Institut für Mathematik, Bonn, Germany, 1995.
- London Mathematical Society Invited Lectures , University of Manchester, 1995.
- Main Speaker, Workshop on the Baum-Connes Conjectures, Fields Institute, 1994.
- US-Chile Meeting, Representation Theory of p-adic Groups, Santiago- Valparaiso, Chile, 1993.
- University of Iowa, Distinguished Visitor Program, 1993.
- Main speaker, Conference Board for Mathematical Sciences Meeting, K Homology and Index Theory, Boulder, Colorado, 1991.

__Selected Invited Addresses__

- Shapiro Distinguished Lecture, University of California Riverside, 2016.
- 2013 Arbeitstagung (in Memory of Friedrich Hirzebruch), MPIM, Bonn, Germany.
- Conference on Operator Algebras and Non-Commutative Geometry in honor of the 70
^{th}birthday of S. Woronowicz, IMPAN, Warsaw, Poland, 2012. - Keynote Speaker, Canadian Operator Algebra Symposium, University of New Brunswick, Fredericton, NB, Canada, 2010.
- Invited Lecturer, Special Semester on the Baum-Connes Conjecture, Münster University,Germany, 2009.
- Invited Lecturer, Chinese National Academy of Sciences, Beijing, China, 2009.
- Plenary Address, Australian Math. Society, La Trobe University, Melbourne, 2007.
- Alain Connes’ 60
^{th}birthday, Institut Henri Poincaré, Paris, 2007. - British Mathematical Colloquium, Newcastle, 2006.
- Conference for Max Karoubi’s 60th birthday, Paris, 1998.
- AMS Special Session commemorating Harish Chandra, Baltimore, 1998
- Conference for 50th birthday of Alain Connes, Strasbourg, 1997.
- Conference for 100th anniversary of the birth of P. S. Alexandrov, Moscow, 1996.
- AMS Special Session in honor of I.M. Gelfand, 50 Years of Operator Algebras, San Antonio, 1993

__Grants and Fellowships__

- Continuously supported by NSF Research Grants, 1965 to present.
- US-UK Cooperative Science Program Research Grant: 1992-96.
- Fellowship to lecture in Japan, Japan Society for the Promotion of Science, 1986.
- US-France Cooperative Science Program Research Grant: 1982-85.
- National Science Foundation Postdoctoral Fellowship, 1963-64.
- National Science Foundation Graduate Fellowship, 1961-63.
- Harvard College-Ecole Normale Supérieure Fellowship, 1958-59.

__Most Recent Teaching__

- Math140 (calculus) 1990
- Math 140 H (Honors calculus) 1991, 1992, 1993, 1994, 1996
- 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2008
- Topology (1990)
- Atiyah-Singer index theorem (1991)
- Trees, symmetric spaces, and buildings (1992)
- K theory and K homology (1993)
- Representation theory and C* algebras (1994)
- Operator Algebras (1996)
- K theory for C* algebras (1997)
- Bivariant K theory (1998)
- K homology and homotopy theory (1999)
- Elliptic operators and K homology (2000)
- K homology and Dirac operators (2001)
- Non-commutative geometry and representation theory (2002, 2003)
- Calculus with emphasis on economics and biology (2005, 2006)
- K-Theory for Operator Algebras (2006, 2008)
- Business calculus (2009, 2010)
- Geometry and Topology (2009)
- Topological spaces and metric spaces (2013)
- C* algebras (2013)
- Individual Studies (2014)
- Metric and Topological Spaces; Lie Theory 1 (2015)
- Index Theory (2017)
- Supervised Ph.D. thesis (1990) of Hitoshi Moriyoshi, now a full Professor at the University of Nagoya, Japan.
- Supervised Ph.D. thesis (1995) of John (Jody) Trout, now a tenured associate professor at Dartmouth College.
- Supervised Ph.D. thesis (2004) of Jeff Raven.
- Supervised 6 Ph. D. theses at Brown University, 1973-1986.

Service

*Academic*- University Evan Pugh Professor Selection Committee (2009-2010)
- Eberly College of Science Promotion and Tenure Committee (2008-2010)
- Penn State Faculty Senate (2008-2011)
- Mathematics Department Strategic Planning Committee
- Mathematics Department Space Committee (2007-2010)
- Mathematics Department Areas of Strength Committee, Operator Algebras and Related Areas
- Mathematics Department Subject Area Committee for Geometry and Topology
- Mathematics Department Personnel Committee, 1991-93, 2000-2003
- Mathematics Department Faculty Awards Committee, 1999-2002
- Mathematics Department Colloquium and Lectures Committee, 1998-2004
- Mathematics Department Policy Committee (2001-2012)
- Mathematics Department Advisory Committee
- Eberly College of Science Evan Pugh Professor Selection Committee, 1997-1999 (Chair in 1997)
- University Selection Committee for Faculty Scholar Medal in the Physical Sciences, 1998-2000
- (at Brown University, served as Concentration Advisor, member of the Medical School Curriculum Committee, Freshman Advisor, Graduate Student Advisor, Director of the Graduate Program in Mathematics, and member of the Graduate Council.)

Professional

- AMS Steele Prize Committee, 2014-2016
- AMS Centennial Fellowship Committee, 2012-2014
- AMS-IMS-SIAM Committee on Joint Summer Research Conferences in the Mathematical Sciences, 1998-2003.
- AMS Eastern Section Program Committee, 1998-2001
- NSF Panels to review proposals, 1997, 1998, 2009, 2015
- Member, committee to select speakers for 1985 summer meeting of AMS-MAA
- Editorial Committee,
*Notices of the American Mathematical Society*, 1983-86

__Invited Lectures__

*1963-64*

- University of California at Berkeley
- AMS Summer Institute on Algebraic and Differential Topology
- Oxford
- Cambridge
- Liverpool

*1964-65*

- Institute for Advanced Study
- Yale
- Princeton

*1965-66*

- Notre Dame
- Cornell University Topology Festival

*1966-67*

- Brown
- Purdue
- University of Chicago

*1967-68*

- Cornell University Topology Festival
- AMS Summer Institute on Global Analysis

*1968-69*

- Harvard-Brandeis-MIT Colloquium
- AMS Summer meeting

*1969-70*

- Courant Institute, New York University
- Purdue

*1970-71*

- Notre Dame
- Purdue

*1971-72*

- Princeton
- University of Rhode Island

*1972-73*

- Harvard (R. Bott seminar)
- AMS Summer Institute on Differential Geometry, Stanford

*1974-75*

- University of North Carolina
- University of Virginia

*1975-76*

- Harvard (R. Bott seminar)
- AMS Summer Institute on Topology

*1976-77*

- Institute for Advanced Study
- University of Bonn
- Oberwolfach
- Oxford
- Johns Hopkins
- City University of New York
- Rutgers

*1978-79*

- SUNY at Stony Brook
- Harvard-Brandeis-MIT Colloquium

*1979-80*

- Purdue
- Indiana-Purdue
- Harvard-Brandeis-MIT Colloquium
- AMS Summer Institute on Operator Algebras

*1980-81*

- Institut des Hautes Etudes Scientifiques
- AMS Annual Meeting, San Francisco, Special Session on K theory and Operator Algebras
- Ecole Normale Supérieure
- University of Copenhagen
- Copenhagen Technical University
- Dalhousie University
- Canadian Math. Society summer meeting at Halifax
- Canadian Math. Society Symposium “Current trends in Algebraic Topology,” London, Ontario

*1981-82*

- University of Paris (K theory colloquium)
- Dartmouth
- Tulane
- Cornell
- University of Paris (algebra seminar)
- University of Chicago
- Louisiana State University
- University of Texas at Austin
- University of Georgia at Athens

*1982-83*

- Princeton
- University of Geneva
- University of Pennsylvania
- SUNY at Stony Brook
- University of Maryland
- CUNY
- University of Rhode Island
- Purdue
- AMS Special Session “Topology and Geometry of Algebraic Varieties,” University of Maryland
- Rutgers
- U.C.L.A.
- US-Japan Operator Algebra Seminar, Kyoto
- University of Tokyo
- University of Hokkaido at Sapporo
- Rikkyo University, Tokyo
- AMS Summer Meeting Special Session “Applications of Algebraic Topology” at SUNY Albany

*1983-84*

- Princeton
- Pennsylvania State University
- University of Maryland
- University of Illinois at Chicago
- Midwest Topology Conference
- University of Western Ontario, London, Ontario
- SUNY Buffalo
- Oberwolfach
- Istituto Guido Castelnuovo, Rome, Italy
- Rutgers
- AMS Special Session on Algebraic Topology, Eugene, Oregon

*1984-85*

- MSRI, Berkeley, California, Special Year on Index Theory and Operator Algebras
- University of California at Santa Cruz
- University of California at Berkeley
- Ecole Polytechnique, Paris
- CUNY
- Rutgers

*1985-86*

- Mexican Mathematical Society Summer Meeting at Taxco
- AMS Northeast Regional Meeting at Amherst, MA
- University of Kansas
- Canadian Math. Society Winter Meeting at Calgary, Alberta
- Institut Henri Poincaré, Paris, Malliavin Algebra Seminar
- University of Paris, Karoubi K theory seminar
- Tokyo Metropolitan University
- University of Hokkaido
- University of Kyoto
- University of Tokyo
- SUNY at Stony Brook
- University of Western Ontario

*1986-87*

- Pennsylvania State University
- University of Pennsylvania
- AMS Regional Meeting on Cyclic Homology and K Theory at Kent State University
- University of Maryland
- University of Edinburgh
- University of Durham
- University of Warwick, Coventry, England, Workshop on Cyclic Homology and K-theory
- 1987-88 Keystone Operator Algebra Seminar, PSU at Harrisburg
- Dalhousie University, Halifax, Nova Scotia, Canada
- University of California at Berkeley
- Max Planck Institut für Mathematik (Bonn), 4 lectures
- University of Bonn
- AMS Summer Institute “Operator Theory and Operator Algebras,” Durham, NH
- AMS Summer Research Conference Topological Invariants of Elliptic Operators, Bowdoin College

*1988-89*

- University of Pennsylvania
- SUNY at Stony Brook
- AMS Annual Meeting, Special Session Topology and Operator Algebras, Phoenix, Arizona
- UCLA
- Great Plains Operator Theory Seminar, Houston, Texas (main speaker, series of three lectures)
- MSRI (Berkeley)

1989-90

- INCREST Conference on Geometrical Methods in Operator Algebras, Craiova, Romania
- AMS Regional Meeting at Pennsylvania State University (Operator Algebras and Index Theory)
- Courant Institute, NYU
- MSRI (Berkeley)

*1990-91*

- Canadian Math. Society, Annual Meeting, Waterloo, Ontario
- Conference Board for Mathematical Sciences, “K-homology and Index Theory,”
- Boulder, Colorado (main speaker, 10 lectures)

*1991-92*

- SUNY at Stony Brook
- Courant Institute, NYU
- University of Manchester, UK
- Yorkshire Mathematical Society (at Manchester)
- AMS Annual Meeting, Special Session Operator Algebras and Group Theory, Baltimore, MD
- Brown University
- AMS Special Session Topology and Operator Algebras, Springfield, MO
- AMS Special Session Characteristic Classes, Lehigh University
- Oxford, UK, Index’92 Meeting

*1992-93*

- Ohio State University
- AMS Annual Meeting, Special Session “Fifty years of Operator Algebras,” San Antonio, Texas
- University of Iowa, Iowa City, Distinguished Visitor Program, 4 lectures
- US-Chile meeting “Representation Theory of p-adic Groups,”
- Santiago-Valparaiso, 4 lectures, 1993.
- 1993-94 AMS Regional Meeting at Texas A & M, Special Session “Non-communtative differential geometry.”
- Virginia Technical University
- AMS Annual Meeting, Special Session “Geometric Applications of Index Theory,” Cincinnati, Ohio

*1994-95*

- Fields Institute for Research in the Mathematical Sciences, Workshop on the Baum-Connes Conjectures,
- main speaker (3 lectures)
- AMS Annual Meeting, Special Session “Index Theory,” San Francisco
- UCLA (3 lectures)
- London Mathematical Society Invited Lectures (10 lectures)
- University of Edinburgh, (2 lectures)
- Max Planck Institut für Mathematik, Bonn (4 lectures)
- Fields Institute for Research in the Mathematical Sciences, Cyclic Homology and Non-Commutative
- Geometry meetings (2 lectures)

*1995-96*

- Dartmouth College (2 lectures)
- North British Functional Analysis Seminar (Main Speaker, 2 lectures), Manchester
- AMS Annual Meeting, Special Session “Analysis on non-compact manifolds,” Orlando, Florida
- University of Mainz
- University of Münster
- University of Neuchatel
- Rutgers University
- Kings College, London
- Meeting for 100th anniversary of birth of P. S. Alexandrov, Moscow
- Conference for P.F. Baum’s 60th birthday, University of Colorado at Boulder
- Workshop on K-Theory and Index Theory, University of Colorado at Boulder

*1996-97*

- AMS Regional Meeting at Rider College, Special Session on Geometric Topology
- University of Pennsylvania
- University of Münster Workshop on the Baum-Connes Conjecture
- AMS Annual Meeting, Special Session Non-Commutative Geometry, San Diego, CA
- Ontario Topology Seminar, Toronto,
- University of Western Ontario (4 lectures)

*1997-98*

- Dartmouth College Conference on E Theory and Quantization
- Meeting for Alain Connes’ 50th Birthday, Strasbourg, France
- AMS Special Session commemorating Harish Chandra, Baltimore
- Yorkshire Functional Analysis Group, Manchester, UK
- University of Utrecht
- Institut Mathématique de Luminy
- University of Chicago
- University of Münster, Workshop on Cyclic Homology
- Oberwolfach (Non-commutative Geometry Meeting)

*1998-99*

- AMS Regional Meeting at Penn State, Special Session on K-theory for C* algebras
- SUNY at Binghamton (2 lectures)
- Meeting for Max Karoubi’s 60th birthday, Paris
- AMS Annual Meeting, Special Session on Differential Geometry, San Antonio
- London Mathematical Society K-Theory Day (2 lectures), Manchester, UK
- Rice University
- University of Illinois at Chicago
- Great Plains Operator Theory Symposium, Iowa State University

*1999-00*

- AMS Regional Meeting at Providence College, Special Session on Non-commutative Geometry
- University of New Brunswick, Fredericton, NB
- AMS Annual Meeting, Special Session on Homotopy Theory and Special Session on History of Topology, Washington, D.C
- Texas A & M University (Series of 3 lectures), College Station, Texas
- Oberwolfach (non-commutative geometry meeting)
- London Mathematical Society K-Theory Day, Manchester, UK
- University of Paris VI, K theory seminar
- Strasbourg, Meeting on the Baum-Connes conjecture
- AMS Summer Research Conference on Non-commutative Geometry, Mt. Holyoke College
- London Mathematical Society Conference on Non-Commutative Geometry, Durham, UK

*2000-01*

- AMS Special Session on Non-commutative Geometry, Toronto, CA
- Fall School and Workshop on Geometric Analysis, Potsdam, Germany
- AMS Special Session on Group Cohomology and Applications to Homotopy Theory and Representation Theory, New Orleans
- London Mathematical Society, K Theory Day, Manchester
- University of Maryland
- Vanderbilt University
- University of California at Santa Cruz
- MSRI, Operator Algebra Year (2 lectures)

*2001-02*

- Stefan Banach Internat. Math. Centre, Warsaw, Poland (6 lectures)
- AMS Special Session on Low Dimensional Topology, San Diego
- University of Bologna (6 lectures)
- Oberwolfach, Meeting on Noncommutative Geometry
- University of Copenhagen (2 lectures)
- ETH-Zurich (3 lectures)
- University of Göttingen (5 lectures)
- ICTP Trieste, Meeting in honor of H. Bass

*2002-03*

- Southampton, UK, Workshop on Discrete Groups and Analysis
- University of Florida, Gainesville
- AMS Special Session on Homotopy Theory and Geometric Topology, Orlando
- AMS Annual Meeting, Special Session Commemorating J. Von Neumann and M. Stone
- University of Western Ontario (4 lectures)
- Banff International Research Station (BIRS)
- University of Calgary
- Meeting on Non-Commutative Geometry, Vanderbilt University (2 lectures)
- University of Edinburgh (3 lectures)
- London Mathematical Society K Theory Day, University of Manchester, UK
- Meeting on Non-Commutative Geometry, University of Cork, Eire (3 lectures)
- International Centre for Theoretical Physics, Trieste (3 lectures)

*2003-04*

- Mittag-Leffler Institute Workshop on Non-Commutative Geometry, Stockholm, Sweden
- University of Western Ontario, Homotopy Theory Meeting, London, Ontario
- AMS Special Session on Non-Commutative Geometry, University of Colorado, Boulder
- University of Bologna (3 lectures)
- Instituto Tecnico Superiore (Lisbon) (3 lectures)
- Mittag-Leffler Institute Workshop on Non-commutative Algebraic Geometry (2 lectures)
- CIRM, Luminy, Marseille, France
- Mittag-Leffler Institute, Stockholm
- Institute of Mathematics, Polish Academy of Sciences, Bedlewo, Poland
- Positive Scalar Curvature & Related Topics Meeting, University of Munich (3 lectures)
- Non-commutative Geometry Seminar, Stefan Banach International Mathematical Center, Warsaw, Poland
- Algebraic Topology Seminar, University of Warsaw, Poland
- London Mathematical Society K Theory Day, University of Manchester, UK
- Kemeny Lectures, Dartmouth College, 3 lectures
- K-Theory and Non-commutative Geometry Workshop, Institut Henri Poincaré, Paris (4 lectures)
- Non-commutative Geometry and Number Theory Workshop, Max Planck Institute, Bonn
- University of Goettingen, Germany
- K-Theory and Non-commutative geometry meeting, Institut Henri Poincaré Paris

*2004-05*

- University of Southampton, UK, 5 lectures, London Mathematical Society School on Analysis and Group Theory
- University of Pennsylvania, Analysis Seminar
- Institute for Advanced Study, 5 lectures (4 on the Baum-Connes conjecture; 1 on representation theory of p-adic groups)
- TIFR (Tata Institute for Fundamental Research), 6 lectures
- Moscow State University, Meeting dedicated to memory of Yu. Solovyov
- London Math Society K-theory Day, University of Manchester
- Keio University, Pathways Lecture Series in Mathematics, Yokohama, Japan, 4 lectures
- Keio University-sponsored meeting on noncommutative geometry, K-theory, and physics, at International Productivity Center, Shonan, Japan, 3 lectures
- DeLong Lectures, University of Colorado, 3 lectures
- Stephan Banach Institute, Warsaw, 4 lectures
- Mathematical Institute of the Polish Academy of Science, Warsaw, 2 lectures

*2005-06*

- Vanderbilt University
- University of Michigan, 2 lectures
- Mathematical Institute of the Polish Academy of Science – University of Moscow Conference on C* Algebras, Bedlewo, Poland
- University of Muenster, Germany, Workshop on Non-Commutative Algebras
- University of Manchester, UK, Algebra Seminar
- London Math Society K-theory Day, University of Manchester
- Penn State University Number Theory Seminar
- University of Hawaii Mathematics Department, Distinguished Lecture Series, 3 lectures
- Penn State University Mathematical Physics Seminar
- Banff International Research Station, Banff, Canada, Non-Commutative Geometry meeting
- British Mathematical Colloquium, University of Newcastle, UK, Special Session Analysis on Groups
- Penn State University, Slow Pitch Seminar
- Penn State University, Geometric Functional Analysis Seminar
- Mathematical Institute of Polish Academy of Science, Warsaw
- University of Warsaw

*2006-07*

- Isaac Newton Institute, Cambridge, UK
- Penn State University, Mathematical Physics Seminar
- Penn State University, Mathematics Club
- Penn State University, Algebra & Number Theory Seminar
- Princeton University Undergraduate Mathematics Club
- Princeton University, Graduate Student Seminar
- Princeton University, Mathematics Colloquium
- Institut Henri Poincaré meeting “Higher Structures in Geometry and Physics”
- Sedano Winter School on K-Theory, Burgos, Spain (4 lectures)
- Moscow State University Meeting “Operator Algebras and Topology”
- Institut Henri Poincaré meeting “Groupoids in Operator Algebras and Non-commutative Geometry”
- Oxford University Mathematical Institute Colloquium
- Oxford University Mathematical Institute Algebra Seminar
- The Invariants (Oxford University Mathematics Club)
- Institut Henri Poincaré meeting “Non-commutative Geometry”
- Northwestern University Mathematics Department Colloquium
- Northwestern University Non-commutative Geometry Seminar
- University of Warsaw Mathematics Department (4 lectures)
- IMPAN (Math. Institute, Polish Academy of Sciences), Warsaw
- Abdul Salam International Centre for Theoretical Physics, Trieste
- Mathematical Institute, University of Goettingen, Germany
- IMPAN, Conference for P. F. Baum’s 70
^{th}birthday - University of Warsaw, AMS and Polish Math. Society Joint Meeting,
- Special Session Non-commutative Geometry and Quantum Groups

*2007-2008*

- Australian National University, Special Event on Baum-Connes conjecture, 3 lectures, Canberra, Australia
- Annual Meeting, Australian Mathematical Society, La Trobe University, 2 lectures, Melbourne, Australia
- Newcastle University, 2 lectures, Newcastle, Australia
- Mathematical Physics Seminar, Penn State University
- Topology Seminar, Penn State University
- Annual Meeting, Canadian Math. Soc., Special Session on Non-commutative Geometry, London, Canada
- Annual Meeting, AMS, Special Session on Construction and Application of Expanders, San Diego, CA
- Annual Meeting, AMS, Special Session on E-theory, Extensions, and Elliptic Operators, San Diego, CA
- University of Copenhagen, Mathematical Institute, Operator Algebra Seminar
- University of Copenhagen, Mathematical Institute, Non-commutative Geometry Workshop
- European Mathematical Society Meeting, Special Session on Non-commutative Geometry,
- University of Copenhagen
- Algebra Seminar & London Mathematical Society K-theory Day, University of Manchester, UK
- Shanks Workshop Lecture Series (4 lectures), Vanderbilt University
- Non-commutative Geometry Seminar, Mathematical Institute of the Polish Academy of Sciences, Warsaw
- University of Warsaw (5 lectures)
- University College, Cork, Ireland, Meeting to Remember Gerard Murphy
- Mathematics Department, University of Krakov, Poland
- Fields Institute, Non-commutative Geometry Workshop, Toronto, Canada
- 50
^{th}Reunion, Harvard & Radcliffe Colleges, Class of 1958, Cambridge, Mass. - University of Montreal, Meeting to Remember Raoul Bott, Montreal, Canada
- University of Manchester (UK), Meeting for R. Plymen’s 65
^{th}Birthday - Texas A & M University, Meeting for R. Douglas’s 70
^{th}Birthday

*2008-2009*

- Rutgers University, Lie Group Seminar
- Rutgers University, Algebra Seminar
- University of New Brunswick, Meeting “Hopf Algebras in Non-commutative Geometry,”
- Fredericton, NB, Canada
- GAP (Geometry, Algebra, & Physics) Seminar, PSU
- Plenary Address, Northern Regional Meeting, London Math. Society, University of Manchester, U. K.
- PSU, Slow Pitch Seminar
- Non-commutative Geometry Seminar, IMPAN, Warsaw (2 lectures)
- Colloquium, IMPAN, Warsaw
- Colloquim, Math. Dept., University of Southampton, UK
- Lunch Seminar, Math. Dept., University of Southampton, UK
- Japan American Math Institute Meeting, Johns Hopkins Univ.
- Non-commutative Algebra-Algebraic Geometry Seminar, MIT
- Lie Groups Seminar, MIT
- Non-commutative Geometry Seminar, IMPAN, Warsaw
- Topology Seminar, University of Warsaw
- Colloquium, Queen’s University, Belfast, Northern Ireland
- Topology-Geometry Seminar, University of Glasgow, UK
- Algebra Seminar, University of Glasgow
- CBMS String Theory Meeting, Texas Christian University, Fort Worth, Texas
- Plenary Address, Great Plains Operator Theory Symposium, University of Colorado, Boulder, CO
- GAP (Geometry, Algebra, & Physics) Seminar, Szechuan University, Chengdu University,
- China (2 lectures)
- Mini-course on K-theory and K-homology, Fudan University, Shanghai, China (8 lectures)
- Chinese National Academy of Sciences, Beijing, China (3 lectures)
- Noncommutative Geometric Methods in Global Analysis Meeting in honor of Henri Moscovici’s 65
^{th }Birthday, Bonn University, Bonn, Germany - Special Semester on the Baum-Connes Conjecture, Münster University, Münster, Germany

*2009-2010*

- Analysis Seminar, University of Houston, Houston, Texas
- GAP (Geometry, Algebra, & Physics) Seminar, PSU
- Special Session on Representation Theory of p-adic Groups, AMS Annual Meeting, San Francisco
- Special Session on Algebraic and Categorical Methods in Representation Theory, AMS Annual Meeting, San Francisco
- Non-commutative Geometry Seminar (3 lectures), IMPAN, Warsaw
- Colloquium, Dept. of Mathematics, University of Warsaw
- Colloquium, IMPAN, Warsaw
- Guest lecture, “The p-adic Numbers” in course “Introduction to Contemporary Mathematics,” University of Warsaw
- Colloquium, Departments of Mathematics, University of Rzeszow and the Technical University of Rzeszow
- Colloquium, Department of Mathematics, University of Western Ontario, Canada
- Non-commutative Geometry Seminar (3 lectures), Dept. of Mathematics, University of Western Ontario
- Colloquium, Department of Mathematics, University of Luxembourg
- Non-commutative Geometry Seminar, Department of Mathematics, University of Luxembourg
- Colloquium, University of Metz, France
- Special Session on Non-commutative Geometry, CMS 2010 Summer Meeting, University of New Brunswick, Fredericton, Canada
- University of New Brunswick Workshop on Index Theory (3 lectures), Fredericton, New Brunswick, Canada
- Keynote Speaker, Canadian Operator Algebra Symposium (2 lectures), University of New Brunswick, Fredericton, Canada
- PIMS (Pacific Institute for Math. Sciences), University of Victoria, Victoria, BC, Canada

*2010-2011*

- Conference in Honor of R. Nest’s 60
^{th}Birthday, University of Copenhagen, Denmark - GAP (Geometry, Algebra, & Physics) Seminar, PSU (3 lectures)
- Special Session on Expander Graphs, AMS Annual Meeting, New Orleans
- Special Session on Dirac Operators, AMS Annual Meeting, New Orleans
- Mathematics Colloquium, Dartmouth College, Hanover, NH
- Analysis Seminar, Dartmouth College, Hanover, NH
- Number Theory Seminar, Harvard University, Cambridge, MA
- Colloquium and Analysis Seminar (2 lectures), University of Kansas, Lawrence
- Colloquium, Department of Mathematical Methods in Physics, University of Warsaw
- Non-Commutative Geometry Seminar, IMPAN, Warsaw
- Algebraic K-theory and its Applications – Meeting in honor of 70
^{th}birthday of Aderemi Kuku, University of Nanjing, China - Topology and Analysis Seminars, Colloquium (3 lectures), Fudan University, Shanghai, China
- Algebra Seminar and Colloquium (2 lectures), Mathematical Institute of the Chinese National Academy of Sciences, Beijing, China
- Colloquium, Mathematics Department, University of Colorado (Boulder)
- Non-commutative Geometry and Operator Algebras (NCGOA) Meeting, Vanderbilt University (2 lectures)
- Kazhdan Automorphic Representations of Classical Groups Seminar, Hebrew University, Jerusalem
- Amitsur Symposium, Ben Gurion University, Beer-Sheva, Israel
- Colloquium, Mathematics Department, Hebrew University, Jerusalem
- Kazhdan Basic Notions Seminar, Hebrew University, Jerusalem
- Noncommutative Harmonic Analysis and Representation Theory Conference, Luxembourg
- Colloquium and Analysis Seminar (2 lectures), University of Metz, France
- Representation Theory XII Conference (2 lectures), University of Dubrovnik, Croatia
- 2011-2012 Conference on Harmonic Analysis, Deformation Quantization, and Non-Commutative Geometry Scalea, Italy (3 lectures)
- Meeting on Non-Commutative Geometry, Institute for Math. Research, Oberwolfach, Germany
- Conference on Operator Algebras and Non-Commutative Geometry in honor of the 70
^{th}birthday of Woronowicz, IMPAN, Warsaw, Poland - Australian National University, Canberra, Australia (3 lectures)
- Colloquium and Number Theory-Representation Theory Seminar, (2 lectures) University of Toronto Fields Institute, Toronto
- Special Session Generalized Cohomology Theories in Engineering Practice, AMS-MAA-SIAM Joint Meeting, Boston
- Special Session Trends in Representation Theory, AMS-MAA-SIAM Joint Meeting, Boston
- Special Session on Linear Algebraic Groups, AMS-MAA-SIAM Joint Meeting, Boston
- Special Session on Homotopy Theory, AMS-MAA-SIAM Joint Meeting, Boston
- Non-Commutative Geometry Seminar, IMPAN, Warsaw, Poland
- Department of Math. Methods in Physics, University of Warsaw, Poland (2 lectures)
- Algebraic Topology Seminar, Princeton University
- Newton Institute-Wales Institute of Math. & Computer Science Meeting on Non-Commutative Geometry, Cardiff University, Cardiff, Wales
- Graduate Student Colloquium, Göttingen University Math. Institute, Göttingen, Germany
- Conference on Quantum Fields and K-Theory, Erwin Schrödinger Institute, Vienna, Austria (2 lectures)
- Minicourse “An Introduction to K-homology,” Göttingen University Math. Institute, Göttingen (4 lectures)
- Differential Geometry Seminar, University of Augsburg, Germany
- Mathematics Department Colloquium, University of Augsburg

*2012-13*

- Non-commutative Geometry and Algebraic Geometry Meeting, Fields Institute, Toronto
- Non-commutative Geometry and Algebraic Geometry Workshop, University of New Brunswick, Fredericton
- Non-commutative Geometry Seminar, Mathematics Department, University of Hawaii, Honolulu
- Analysis Seminar, Mathematics Department, University of Hawaii, Honolulu
- Geometry Seminar, Tohoku University, Sendai, Japan
- Mathematics Department Colloquium, Tohoku University, Sendai, Japan
- Takagi Lectures, Mathematical Society of Japan, Tokyo University, Japan (2 lectures)
- Mathematics Department Colloquium, University of Hawaii, Honolulu
- Australian National University, Canberra, Australia
- Iwasawa Theory, Representations and the p-adic Langlands Program, Conference in Honour of Peter Schneider’s 60
^{th}Birthday, Wilhelms-Universität, Münster, Germany - Mathematical Physics Seminar, University of Nijmegen, The Netherlands
- Mini course on K-homology and index theory, TIFR, 4 lectures
- Mini course on geometric structure and the local Langlands conjecture, TIFR, 3 lectures
- Mathematics Department Colloquium, TIFR
- Mathematics Department Student Seminar, TIFR
- Department of Mathematics, Mumbai Institute of Science
- Non-Commutative Geometry Seminar, IMPAN, Warsaw, 2 lectures
- Sde Boker School on group C* algebras, Ben Gurion University of the Negev, Israel, 2 lectures
- Jagellonian University in Krakow, Krakow, Poland
- Arbeitstagung 2013, Max Planck Institut für Mathematik, Bonn, Germany
- Conference on Noncommutative Geometry and Quantum Groups, Fields Institute, Toronto, 6 lectures
- Representations of Reductive Groups Meeting, University of Utah, Salt Lake City
- Minicourse on Index Theory, Meeting in Honor of Ron Douglas’s 75
^{th}Birthday, Fudan University, Shanghai, China (5 lectures) - University of Southampton, UK
- Masterclass on p-adic Groups, University of Copenhagen, Denmark

*2013-14*

- University of Maryland (2 lectures)
- Conference on Quantum Groups and Non-commutative Geometry, Fields Institute, Toronto
- Special Session on Recent Progress in the Langlands program, Joint Mathematics Meetings, Baltimore
- GAP seminar, Penn State University
- Colloquium, University of Minnesota, Minneapolis
- Lie Theory Seminar, University of Minnesota, Minneapolis
- Colloquium, Texas A & M, College Station, Texas
- Noncommutative Geometry Seminar, Texas A & M, College Station, Texas, Lecture Series on Index Theory (5 lectures)
- Algebraic Topology Seminar, Princeton University, Princeton, New Jersey
- IAS-Princeton University Number Theory Seminar, Princeton
- Noncommutative Geometry Festival in Honor of Henri Moscovici’s 70
^{th}Birthday, Texas - A & M University, College Station, Texas
- IMPAN, Warsaw, Poland (3 lectures)
- Joint Algebraic Geometry-Algebraic Topology Seminar, University of Warsaw, Poland

*2014-15*

- Opening Workshop, Geometric Representation Theory Program, MSRI, Berkeley, CA
- Geometry Seminar, Mathematics Department, University of California, Berkeley, CA
- Workshop, Methods of Noncommutative Geometry in Analysis and Topology, Leibniz University, Hannover, Germany
- Hausdorff Research Institute for Mathematics, Bonn, Germany (6 lectures)
- Max Planck Institute for Mathematics, Bonn
- AMS Special Session on Operator Algebras and Their Applications, A Tribute to Richard V. Kadison, JMM, SanAntonio, Texas
- AMS Special Session on Hopf Algebras and Tensor Categories, JMM, San Antonio, Texas
- Operator Algebras Seminar, Dartmouth College, Hanover, NH
- Stratified Spaces in Geometric and Computational Topology and Physics, Meeting in honor of Julius Shaneson’s’ 70
^{th}Birthday, University of Wisconsin, Madison WI - Geometry Seminar, Mathematics Department, Wroclaw University, Poland
- IMPAN, Warsaw, Poland (2 lectures)
- Mathematics Graduate Student Colloquium, University of Göttingen, Göttingen, Germany
- Topology Seminar, Mathematical Institute, Oxford University, Oxford, U. K.
- Intensive Lectures, Graduate School of Mathematical Sciences, The University of Tokyo, Japan (5 lectures on Index theory)
- Lie Groups and Representation Theory Seminar, Graduate School of Mathematical Sciences, the University of Tokyo (2 lectures)
- Meeting in honor of V. K. Patodi, Tata Institute of Fundamental Research, Mumbai, India (5 lectures)

*2015-16*

- GAP Seminar, PSU (2 lectures)
- AMS Session on Functional Analysis and Operator Theory, Joint Mathematics Meetings, Seattle, WA
- AMS Special Session on Geometric and Categorial Methods in Representation Theory, JMM, Seattle, WA
- AMS-AWM Special Session on Commutative Algebra and Its Interactions with Algebraic Geometry, JMM, Seattle
- Professor D. Voiculescu’s seminar, Department of Mathematics, UC Berkeley, Berkeley, CA
- Number Theory Seminar, Department of Mathematics, Harvard University, Cambridge, MA
- Kempner Colloquium, Department of Mathematics, University of Colorado, Boulder, CO
- Non-Commutative Geometry Seminar, Department of Mathematics, University of Colorado
- University of California at Riverside, Shapiro Distinguished Lecture and two seminars
- Conference on Geometry, Representation Theory, and the Baum-Connes Conjecture (in

honor of my 80th birthday), Fields Institute, Toronto, Canada (1 lecture)

2016-17

- Simons Semester on Noncommutative Geometry, IMPAN, Warsaw, Poland (1 lecture)
- AMS Special Session “Topology, Representation Theory, & Operator Algebras: A tribute to Paul Baum” (1 lecture)
- Göttingen Mathematical Institute, Göttingen, Germany (6 lectures)
- Meeting for Alain Connes’ 70th birthday, Fudan University, Shanghai, China (1 lecture)
- Graduate Student Seminar, Penn State (2 lectures)
- Toulouse Index Theory Meeting, Toulouse, France
- IMPAN, Warsaw, Poland
- Weizmann Institute, Israel (lecture was given by my co-worker A. M. Aubert using my slides)

2017-18

- University of Western Ontario, London, Canada, Math. Dept. Colloquium, 1 lecture
- Winter Meeting of the Canadian Math. Society, University of Waterloo, Canada, Special Session on Noncommutative Geometry and Cyclic Homology, l lecture
- IMPAN, Warsaw, Poland
- Hans Rademacher Lectures in Mathematics, Department of Mathematics, University of Pennsylvania (4 lectures)

2018-19

- Project Professor Lectures, University of Tokyo (4 lectures)
- Erwin Schrödinger Institute for Mathematical Physics, Vienna
- Dartmouth College, Functional Analysis Seminar

TIFR = Tata Institute of Fundamental Research, Mumbai, India

AMS = American Mathematical Society

MSRI = Mathematical Sciences Research Institute (Berkeley)

CMS = Canadian Mathematical Society

IMPAN = Mathematics Institute of the Polish National Academy of Science