Ieke Moerdijk Explained

Ieke Moerdijk
Birth Date:23 January 1958
Birth Place:Veenendaal, The Netherlands
Nationality:Dutch
Fields:Mathematics
Workplaces:Utrecht University
Alma Mater:University of Amsterdam
Thesis Title:Topics in Intuitionism and Topos Theory
Thesis Year:1985
Doctoral Advisor:Anne Sjerp Troelstra
Doctoral Students:Dorette Pronk
Known For:Categorical set theory
Constructive nonstandard analysis
Dendroidal set
Notable Students:
Marius Crainic

Izak (Ieke) Moerdijk (in Dutch; Flemish ˈikə ˈmurdɛik/; born 23 January 1958) is a Dutch mathematician, currently working at Utrecht University, who in 2012 won the Spinoza prize.[1]

Education and career

Moerdijk studied mathematics, philosophy and general linguistics at the University of Amsterdam. He obtained his PhD cum laude in 1985 at the same institution. His thesis was entitled Topics in intuitionism and topos theory and was written under the supervision of Anne Sjerp Troelstra.[2] [3]

After that, he worked as postdoctoral researcher at the University of Chicago and Cambridge. From 1988 to 2011 he was professor at Utrecht University. After working at the Mathematical Institute of the Radboud University Nijmegen for a few years, he returned to Utrecht University in 2016.[4]

In 2000 Moerdijk was an invited speaker to the 3rd European Congress of Mathematics.[5] He was elected member of the Royal Netherlands Academy of Arts and Sciences in 2006[6] and of the Academia Europaea in 2014.[7]

Moerdijk received the 2011 Descartes-Huygens prize for his contribution to French–Dutch scientific collaborations from the Académie des Sciences in Paris.[8] [9] In 2012 he received the Spinoza prize from the Netherlands Organisation for Scientific Research.[10] [11]

Research

Moerdijk's research interests lie in the fields of category theory, algebraic and differential topology, and their applications to mathematical logic.

Moerdijk is seen, together with André Joyal, as one of the founders of algebraic set theory.[12] [13] In 1992 he wrote, together with Saunders Mac Lane, a book on topos theory that became the standard reference on the subject: Sheaves in geometry and logic. A first introduction to topos theory.[14] In 1995 he made pioneering contributions to constructive non-standard analysis, of which he is one of the founders.[15]

Moerdijk's research has also covered topics in differential geometry; in particular, he wrote in 2003 an influential monograph on foliations and Lie groupoids.[16] Recently Moerdijk pursues, among other topics, research on the theory of operads, on the logic structure of quantum information theory, and on dendroidal sets.

Moerdijk has written more than a hundred publications and is the author of several influential books. He supervised 19 PhD students as of 2021.

Selected books

References

Notes and References

  1. Web site: NWO Spinoza Prize 2012 NWO. 2021-03-28. www.nwo.nl. en.
  2. Web site: Album Academicum. 2021-03-28. albumacademicum.uva.nl.
  3. Web site: Ieke Moerdijk - The Mathematics Genealogy Project. 2021-03-28.
  4. Web site: Catalogus Professorum - Prof Detail. 2021-03-28. profs.library.uu.nl.
  5. Web site: Parallel Lectures. 2021-03-28. www.imub.ub.edu.
  6. Web site: Ieke Moerdijk. 30 June 2015. Royal Netherlands Academy of Arts and Sciences. Dutch.
  7. Web site: Academy of Europe: Moerdijk Izak. 2021-03-28. www.ae-info.org.
  8. News: Remise du prix Descartes-Huygens 2012. Académie des sciences. 2021-03-28.
  9. Web site: Descartes-Huygens Prize for François Hammer and Ieke Moerdijk — KNAW. 2021-03-28. knaw.nl.
  10. Web site: Spinoza Prize for Ieke Moerdijk of Radboud University Nijmegen (€2.5 million). 2021-03-28. Information for PhD candidates. en.
  11. Web site: Dutch Mathematician Ieke Moerdjik wins the Spinoza Prize European Mathematical Society. 2021-03-28. euro-math-soc.eu.
  12. Web site: algebraic set theory in nLab. 2021-03-28. ncatlab.org.
  13. Book: Joyal. Andri. Algebraic Set Theory. Moerdijk. Ieke. 1995. Cambridge University Press. 978-0-521-55830-3. London Mathematical Society Lecture Note Series. Cambridge. 10.1017/cbo9780511752483.
  14. Book: Mac Lane. Saunders. Sheaves in Geometry and Logic: A First Introduction to Topos Theory. Moerdijk. Ieke. 1994. Springer New York. 978-0-387-97710-2. Universitext. New York, NY. 10.1007/978-1-4612-0927-0.
  15. 1995-05-16. A model for intuitionistic non-standard arithmetic. Annals of Pure and Applied Logic. en. 73. 1. 37–51. 10.1016/0168-0072(93)E0071-U. 0168-0072. 2066/129065. free. Moerdijk. Ieke. 11659129 .
  16. Book: Moerdijk. I.. Introduction to Foliations and Lie Groupoids. Mrcun. J.. 2003. Cambridge University Press. 978-0-521-83197-0. Cambridge Studies in Advanced Mathematics. Cambridge. 10.1017/cbo9780511615450.