The collected works of James G. Arthur

Photo: Bill Casselman

James Arthur was born on May 18, 1944. He attended the University of Toronto as an undergraduate, and received his Ph.D. at Yale University in 1970, where his advisor was Robert Langlands. He has been a University Professor at the University of Toronto since 1987.

The papers (arranged by topic)

Unrefined trace formula and truncation

Invariant trace formula and refined expansions

Stable trace formula and endoscopy

Characters, Hecke operators, L2-cohomology

Intertwining operators

Harmonic analysis and nonabelian Fourier transforms

Local trace formula and applications

Functoriality and classification of representations

Beyond Endoscopy


The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups. Published in 2013 as volume 61 in the series of Colloquium Publications by the American Mathematical Society.

General exposition

The work of Robert Langlands (to appear in H. Holden and R. Piene, The Abel Prize 2018-2022, Springer)

Notes from selected lectures



About this archive

This project has been the work of Vida Salahi at the Clay Mathematics Institute, with help from Bill Casselman at the University of British Columbia. We wish to thank the Clay Mathematics Institute for initiating the project and for its continuing sponsorship of the archive on its website. We are also grateful to Casselman for his ongoing expert advice.

In addition we wish to thank all the publishers for permission to scan the papers. Copyright ownership of the material on this site is widely distributed, but in all cases downloads from this site must be for personal use only.