Peter Aczel

Peter Henry George Aczel (/ˈæksəl/; 31 October 1941 – 1 August 2023) was a British mathematician, logician and Emeritus joint Professor in the Department of Computer Science and the School of Mathematics at the University of Manchester.^[1] He is known for his work in non-well-founded set theory,^[2] constructive set theory,^[3][4] and Frege structures.^[5][6]

Peter Aczel
Peter Aczel (left) with Michael Rathjen, Oberwolfach 2004
Born	Peter Henry George Aczel (1941-10-31)31 October 1941
Died	(2023-08-01)1 August 2023
Nationality	British
Alma mater	University of Oxford
Known for	Aczel's anti-foundation axiom Reflexive sets Constructive set theory (CZF)
Scientific career
Fields	Mathematical logic
Institutions	University of Oxford University of Wisconsin–Madison Rutgers University University of Manchester University of Oslo Caltech Utrecht University Stanford University Institute for Advanced Study Indiana University Bloomington
Thesis	Mathematical Problems in Logic  (1967)
Doctoral advisor	John Newsome Crossley
Website	www.cs.man.ac.uk/~petera/

Education

Aczel completed his Bachelor of Arts in Mathematics in 1963^[7] followed by a DPhil at the University of Oxford in 1966 under the supervision of John Crossley.^[1][8]

Career and research

After two years of visiting positions at the University of Wisconsin–Madison and Rutgers University, Aczel took a position at the University of Manchester. He has also held visiting positions at the University of Oslo, California Institute of Technology, Utrecht University, Stanford University, and Indiana University Bloomington.^[7] He was a visiting scholar at the Institute for Advanced Study in 2012.^[9]

Aczel was on the editorial board of the Notre Dame Journal of Formal Logic^[10] and the Cambridge Tracts in Theoretical Computer Science, having previously served on the editorial boards of the Journal of Symbolic Logic and the Annals of Pure and Applied Logic.^[7][11]

He died on 1 August 2023.^[12]

References

1. Peter Aczel at the Mathematics Genealogy Project
2. Moss, Lawrence S. (February 20, 2018). "Non-wellfounded Set Theory". In Zalta, Edward N. (ed.). The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University – via Stanford Encyclopedia of Philosophy.
3. Aczel, P. (1977). "An Introduction to Inductive Definitions". Handbook of Mathematical Logic. Studies in Logic and the Foundations of Mathematics. Vol. 90. pp. 739–201. doi:10.1016/S0049-237X(08)71120-0. ISBN 9780444863881.
4. Aczel, P.; Mendler, N. (1989). "A final coalgebra theorem". Category Theory and Computer Science. Lecture Notes in Computer Science. Vol. 389. p. 357. doi:10.1007/BFb0018361. ISBN 3-540-51662-X.
5. Aczel, P. (1980). "Frege Structures and the Notions of Proposition, Truth and Set". The Kleene Symposium. Studies in Logic and the Foundations of Mathematics. Vol. 101. pp. 31–32. doi:10.1016/S0049-237X(08)71252-7. ISBN 9780444853455.
6. Peter Aczel at DBLP Bibliography Server
7. "Peter Aczel page the University of Manchester".
8. Aczel, Peter (1966). Mathematical problems in logic (DPhil thesis). University of Oxford.(subscription required)
9. "Scholars". Institute for Advanced Study. 14 August 2015.
10. Dame, Marketing Communications: Web | University of Notre. "Notre Dame Journal of Formal Logic". Notre Dame Journal of Formal Logic.{{cite web}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
11. "Annals of Pure and Applied Logic" – via www.journals.elsevier.com.
12. "Fom - [FOM] Peter Aczel - arc".

External links

Media related to Peter Aczel at Wikimedia Commons