## Arthur B. Coble Memorial Lectures

This bi-annual lecture series honors the memory of Arthur B. Coble (1878-1966), Professor of Mathematics at the University of Illinois from 1918 to 1947. The late Professor Coble's family established a fund to endow a series of public lectures on mathematics to be delivered by outstanding mathematicians. The Coble Memorial Lecture series is offered in alternate years with the Tondeur Lecture series. |
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Year | Lecturer | Lecture Title |

1970-71 | Irving Kaplansky | The Hilbert Problems |

1971-72 | Samuel Eilenberg | Theory
of automata Topology and automata Categories and automata |

1972-73 | Derrick Lehmer |
Unusual Mathematical uses of computers Some interesting infinite series Permutation structure and partitions |

1973-74 | Lipman Bers | Some aspects of uniformization |

1974-75 | Richard Duffin | Optimization problems of mathematical science |

1975-76 | Alonzo Church | Set theory with a universal set |

1976-77 | Andrew M. Gleason | Coding theory and combinatorial accidents |

1977-78 | George W. Mackey | Noncommutative harmonic analysis and its applications |

1978-79 | Saunders MacLane | The
development of abstract mathematics Abstract algebra and mathematics today Possibilities for the future |

1979-80 | Paul Erdös |
Recent results and open problems in number theory Recent results and open problems in combinatorics Recent results and open problems in set theory |

1980-81 | Shiing-Shen Chern | Exterior differential systems |

1981-82 | Ron L. Graham |
Bin packing: A paradigm in the analysis of algorithms Combinatorial number theory Euclidean Ramsey theory |

1982-83 | Richard V. Kadison | Non-commutative analysis |

1983-84 | Jean-Louis Verdier | Solitons, symmetries and geometry |

1984-85 | H. Jerome Keisler | Logical areas in probability theory |

1985-86 | J. William Helton | Operator theory, complex variables and optimization problems in electrical engineering |

1986-87 | Chas. T. Fefferman | Mathematical problems of quantum mechanics |

1987-88 | Wolfgang Schmidt | The
number of solutions of diophantine equations A p-adic method in diophantine equations Quadratic forms and the geometry of numbers |

1989-90 | Donald A. Martin | A chronological survey of Determinacy |

1990-91 | Burgess J. Davis | Lifetimes of conditioned Brownian Motion, and the shapes of the heat kernels |

1991-92 | Israel Gelfand |
What is a discriminant and resultant of algebraic equations A new proof of the oscillation theorem for Sturm-Lionville equations Cohomology of Poisson algebras |

1992-93 | Robert Steinberg | Central extensions of finite groups, Lie groups, and others |

1993-94 | Béla Bollobás | Projections
of bodies and hereditary properties Oriented percolation in two dimensions Discrete isoperimetric inequalities |

1994-95 | Nigel Hitchin |
Monopoles revised Symmetric Monopoles The geometry and topology of monopole moduli spaces |

1995-96 | Kenneth Ribet |
Fermat's Last Theorem Perfect Powers in arithmetic progression Component groups and degrees of modular parametrizations |

1996-97 | Imre Bárány | Affine
Perimeter and limit shape On the convex hull of the integer points in a ball A colourful version of Carathéodory's theorem with applications |

1997-98 | Freeman Dyson | Life
in the Universe I. The Paradox of Order and Disorder Life in the Universe II. The Search for Life Does the Electron Charge Stay Constant as the Universe Evolves? |

1998-99 |
Yuri Manin University of Moscow |
Quantum
Computing Quantum Cohomology and Mirror Pattern I Quantum Cohomology and Mirror Pattern II |

1999-00 |
George E. Andrews Pennsylvania State University |
Ramanujan's Lost Notebook The Rogers-Ramanujan Identities: Some History and Recent Developments Partitions and Positivity |

2000-01 |
Michael Artin MIT |
Noncommutative
Algebra in Dimension 2 Noncommutative Projective Surfaces Orders over Surfaces |

2002 |
Noga Alon Tel Aviv University and Institute for Advanced Study |
Methods
in Modern Combinatorics: Dimension, Distances, and Information Theory Polynomials, Addition and Coloring The Probabilistic Method |

2003 | Walter
Neumann Columbia University |
The
Volume of Three-Manifolds |

2004 |
David Eisenbud Director, Mathematical Sciences Research Institute and Professor, University of California, Berkeley |
Aspects
of Elimination Theory: I. Resultants, from 1693 to now II. Exterior algebra methods in algebraic geometry III. Instant elimination, and torsion in symmetric algebras |

2005 | Peter
Sarnak Princeton University |
Zeta functions and spectral theory |

2006 | Efim
Zelmanov University of California, San Diego |
Infinite
dimensional Lie (super)algebras On Golod-Shafarevich groups Some Ring - Theoretic problems inspired by Combinatorial Group Theory |

2007 | I.M.
Singer MIT |
Index Theory: Past, Present, and Future |

2008 |
Ib Madsen University of Aarhus, Denmark |
Moduli Spaces and Topology |

2008 | Peter Ozsváth Columbia University |
Heegaard Floer homology and knots I and II Bordered Heegaard Floer homology |

2011 | Ngo Bao Chau University of Chicago |
Geometry of the Hitchin fibration |

2014 | Ian Agol University of California, Berkeley |
The virtual Haken conjecture |

2016 | Sorin Popa UCLA |
I. Classification of II_1 factors arising from free groups acting on spaces II&III. Approximating freeness under constraints |