Myles Tierney

Myles Tierney was a Rutgers faculty member for thirty-four years, coming to Rutgers as an Associate Professor in 1968 following positions at Rice University (1965-6) and at the ETH-Forschungsinstitut für Mathematik, Zürich (1966-68). He received his B.A. from Brown University in 1959 and his Ph.D. from Columbia in 1965.

Myles began his career as an algebraic topologist, moved toward category theory and was responsible (together with F.W. Lawvere) for the introduction of a new field within category theory: elementary topoi.

He had six Ph.D. students: Ira Wolf (1971), Carol Ann Keller (1983), Norman Adams (1984), Terence Lindgren (1984), Todd Trimble (1994), and Luca Mauri (1998). Myles retired as of January 1, 2003 and was honored by the Department at a retirement party on December 10, 2002.

(Taken from this website)

Myles Tierney died on October 5, 2017 having turned 80 in September. He made important contributions to category theory in collaboration with Bill Lawvere and with André Joyal.

On forcing via classifying toposes:

- André Joyal and Myles Tierney,
*An Extension of the Galois Theory of Grothendieck*, Memoirs of the American Mathematical Society 51 (1984).

On stacks and classifying spaces:

- André Joyal and Myles Tierney,
*Strong stacks and classifying spaces*, Category theory (Como, 1990), 213–236, Lecture Notes in Math.**1488**, Springer 1991.

- André Joyal and Myles Tierney,
*On the theory of path groupoids*, J. Pure Appl. Algebra**149**(2000), no. 1, 69–100, doi

On quasicategories and complete Segal spaces:

- André Joyal and Myles Tierney,
*Quasi-categories vs Segal spaces*(arXiv:0607820)

On simplicial homotopy theory:

- André Joyal and Myles Tierney,
*Notes on simplicial homotopy theory*, CRM Barcelona, Jan 2008 pdf, backup pdf

category: people

Last revised on August 26, 2020 at 09:59:51. See the history of this page for a list of all contributions to it.