prof. dr. I. (Ieke) Moerdijk
I.Moerdijk@uu.nl
Gegenereerd op 2018-01-18 04:29:45


Leeropdracht
Universiteitshoogleraar
Profiel

Homotopietheorie, met name in verband met operaden. Tevens toepassingen van technieken uit de topologie in de mathematische logica.

Zie ook 

http://www.projects.science.uu.nl/Moerdijk/

Strategische thema's / focusgebieden
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Curriculum vitae

Izak (Ieke) Moerdijk studied Mathematics, Philosophy and General Linguistics at the University of Amsterdam. He received his PhD in Mathematics from the same institution in 1985, with the distinction Cum Laude. Subsequently he worked at the University of Chicago and at the University of Cambridge, before joining the Mathematics Department of the University of Utrecht in 1988. From 2011 until 2015 he occupied the chair of algebra and topology at Radboud University. He returned to Utrecht in 2016.

Moerdijk was awarded a Huygens Fellowship from NWO in 1986 and a PIONIER grant, again from NWO, in 1995. He was elected member of the KNAW (Royal Academy of Arts and Sciences) in 2006. In 2011 Moerdijk received the Descartes-Huygens prize from the Académie des Sciences, and in 2012 the Spinoza award from NWO. He held visiting positions at Cambridge (St John's College), Montreal (McGill University), Sydney (University) and Aarhus, among others.

Moerdijk's current research interests include algebraic and differential topology (operads, Lie groupoids, ...), and applications of topological structures in mathematical logic. He is the coauthor of several well-known books, including "Sheaves in Geometry and Logic" with S. Mac Lane (Springer-Verlag, 1992, 1994), and "Introduction to Foliations and Lie Groupoids" with J. Mrcun (Cambridge UP, 2003).

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Alle publicaties
  2016 - Wetenschappelijke publicaties
Heuts, Gijs, Hinich, Vladimir & Moerdijk, Ieke (22-10-2016). On the equivalence between Lurie's model and the dendroidal model for infinity-operads. Advances in Mathematics, 302, (pp. 869-1043) (175 p.).
  2012 - Wetenschappelijke publicaties
van den Berg, B. & Moerdijk, I. (2012). Aspects of predicative algebraic set theory III: sheaves. Proceedings of the London Mathematical Society, 105 (5), (pp. 1076-1122) (47 p.).
van den Berg, B. & Moerdijk, I. (2012). Derived rules for predicative set theory: An application of sheaves. Annals of Pure and Applied Logic, 163 (10), (pp. 1367-1383) (17 p.).
  2011 - Wetenschappelijke publicaties
van den Berg, B. & Moerdijk, I. (2011). Aspects of predicative algebraic set theory II: Realizability. Theoretical Computer Science, 412 (20), (pp. 1916-1940) (25 p.).
Cisinski, D-C. & Moerdijk, I. (2011). Dendroidal sets as models for homotopy operads. Journal of Topology, 4 (2), (pp. 257-299) (43 p.).
Berger, C. & Moerdijk, I. (2011). On an extension of the notion of Reedy category. Mathematische Zeitschrift, 269 (3-4), (pp. 977-1004) (28 p.).
  2010 - Wetenschappelijke publicaties
Moerdijk, I. & Gutiérrez, J. J. (2010). Lectures on dendroidal sets / Notes written by Javier J. Gutiérrez. In Ieke Moerdijk & Bertrand Toën (Eds.), Simplicial methods for operads and algebraic geometry (pp. 1-39) (186 p.). Basel: Birkhäuser.
Casacuberta, C., Gutiérrez, J. J., Moerdijk, I. & Vogt, R. M. (2010). Localization of algebras over coloured operads. Proceedings of the London Mathematical Society, 101 (1), (pp. 105-136) (32 p.).
Moerdijk, I. & Mrcun, J. (2010). On the universal enveloping algebra of a lie algebroid. Proceedings of the American Mathematical Society, 138 (9), (pp. 3135-3145) (11 p.).
Moerdijk, I. & Toën, B. (2010). Simplicial Methods for Operads and Algebraic Geometry /. (186 p.). Basel: Springer.
  2009 - Wetenschappelijke publicaties
Moerdijk, I. & Weiss, I. (2009). On inner Kan complexes in the category of dendroidal sets. Advances in Mathematics, 221 (2), (pp. 343-389) (47 p.).
Berger, C. & Moerdijk, I. (2009). On the derived category of an algebra over an operad. Georgian Mathematical Journal, 16 (1), (pp. 13-28) (16 p.).
  2008 - Wetenschappelijke publicaties
Moerdijk, I. & van den Berg, B. (2008). Aspects of predicative algebraic sets theory I: Exact completion. Annals of Pure and Applied Logic, 156 (1), (pp. 123-159) (37 p.).
Moerdijk, I. & Crainic, M. (2008). Deformations of Lie brackets: cohomological aspects. Journal of the European Mathematical Society, 10, (pp. 1037-1059) (23 p.).
  2007 - Wetenschappelijke publicaties
Weiss, I. & Moerdijk, I. (2007). Dendroidal sets. Algebraic & Geometric Topology, 7, (pp. 1441-1470) (30 p.).
Moerdijk, I. & Mrcun, J. (2007). On the developability of Lie subalgebroids. Advances in Mathematics, 210 (1), (pp. 1-21) (21 p.).
Berger, C. & Moerdijk, I. (2007). Resolution of coloured operads and rectification of homotopy algebras. Contemporary mathematics, 431, (pp. 31-58) (28 p.).
  2006 - Wetenschappelijke publicaties
van den Berg, B. & Moerdijk, I. (27-07-2006). A unified approach to algebraic set theory. In Barry Cooper, Herman Geuvers, Anand Pillay & Jouko Väänänen (Eds.), Logic colloquium 2006 (pp. 18-37) (20 p.). Cambridge [etc.]: Cambridge University Press [etc.], Annual European Meeting of the Association for Symbolic Logic.
van der Laan, P.P.I. & Moerdijk, I. (2006). Families of Hopf algebras of trees and pre-Lie algebras. Homology, Homotopy and Applications, 8 (1), (pp. 243-256) (14 p.).
Moerdijk, I. & Mrcun, J. (2006). On the integrability of Lie subalgebroids. Advances in Mathematics, 204 (1), (pp. 101-115) (15 p.).
Berger, C. & Moerdijk, I. (2006). The Boardman-Vogt resolution of operads in monoidal model categories. Topology, 45 (5), (pp. 807-849) (43 p.).
  2005 - Wetenschappelijke publicaties
Moerdijk, I. & Mrcun, J. (2005). Lie groupoids, sheaves and cohomology. Poisson geometry, deformation quantisation and group representations (pp. 145-272) (128 p.). Cambridge: Cambridge University Press.
  2004 - Wetenschappelijke publicaties
Moerdijk, I. & Crainic, M. (2004). Cech-De Rham theory for leaf spaces of foliations. Mathematische Annalen, 328, (pp. 59-85) (27 p.).
  2003 - Wetenschappelijke publicaties
Berger, C. & Moerdijk, I. (2003). Axiomatic homotopy theory for operads. Commentarii Mathematici Helvetici, 78, (pp. 805-831) (27 p.).
Moerdijk, I. (2003). Lie groupoids, gerbes and non-abelian cohomology. K-Theory, 28, (pp. 207-258) (52 p.).
  2003 - Vakpublicaties
Moerdijk, I. & Mrcun, J. (2003). Introduction to Foliations and Lie Groupoids. (173 p.). Cambridge: Cambridge University Press.
  2002 - Wetenschappelijke publicaties
Moerdijk, I. & Alberts, G. (2002). De geometer - Interview W.T. van Est. Nieuw archief voor wiskunde. Serie 5, 3 (1), (pp. 52-56) (5 p.).
Moerdijk, I. (2002). Models for the leaf space of a foliation. European Congress of Mathematics (pp. 481-489) (9 p.). Boston: Birkhäuser.
Moerdijk, I. (2002). Monads on tensor categories. Journal of Pure and Applied Algebra, 168 (2-3), (pp. 189-208) (20 p.).
Moerdijk, I. & Mrcun, J. (2002). On integrability of infinitesimal actions. American Journal of Mathematics, 124 (3), (pp. 567-593) (27 p.).
  2001 - Wetenschappelijke publicaties
Moerdijk, I. (2001). Étale groupoids, derived categories, and operations. In A. Ramsay (Eds.), Groupoids in analysis, geometry, and physics (pp. 101-114) (14 p.). Providence, RI: American Mathematical Society.
Crainic, M. & Moerdijk, I. (2001). Foliation groupoids and their cyclic homology. Advances in Mathematics, 157 (2), (pp. 177-197) (21 p.).
Moerdijk, I. (2001). On the Connes-Kreimer construction of Hopf algebras. In J. Greenlees (Eds.), Homotopy methods in algebraic topology (pp. 311-321) (11 p.). Providence, RI: American Mathematical Society.
  2000 - Wetenschappelijke publicaties
Moerdijk, I. & Crainic, M. (2000). A homology theory for étale groupoids. Journal fur die Reine und Angewandte Mathematik, 521, (pp. 25-46) (22 p.).
Moerdijk, I. & Vermeulen, J.J.C. (2000). Proper maps of Toposes. (108 p.). Rhode Island: American Mathematic Society.
Moerdijk, I. & Palmgren, E. (2000). Wellfounded trees in categories. Annals of Pure and Applied Logic, 104 (1-3), (pp. 189-218) (30 p.).
  1999 - Wetenschappelijke publicaties
Moerdijk, I. & Butz, C.H.E. (1999). A definability theorem for first order logic. Journal of Symbolic Logic, 64, (pp. 1028-1036) (8 p.).
Butz, C.H.E. & Moerdijk, I. (1999). An elementary definability theorem for first order logic. Journal of Symbolic Logic, 64 (3), (pp. 1028-1036) (9 p.).
Moerdijk, I. & Vermeulen, J.J.C. (1999). Proof of a conjecture of A. Pitts. Journal of Pure and Applied Algebra, 143 (1-3), (pp. 329-338) (10 p.).
Moerdijk, I. & Pronk, D.A. (1999). Simplicial cohomology of orbifolds. Indagationes Mathematicae, 10 (2), (pp. 269-293) (25 p.).
Moerdijk, I. & Butz, C.H.E. (1999). Topological representation of sheaf cohomology of sites. Compositio Mathematica, 118 (2), (pp. 217-233) (17 p.).
  1998 - Wetenschappelijke publicaties
Moerdijk, I. (1998). Classifying spaces for toposes with enough points. Rendiconti del Seminario Matematico e Fisico di Milano, 66, (pp. 377-389) (13 p.).
Moerdijk, I. (1998). Proof of a Conjecture of A. Haefliger. Topology, 37 (4), (pp. 735-741) (7 p.).
Butz, C.H.E. & Moerdijk, I. (1998). Representation of toposes by topological groupoids. Journal of Pure and Applied Algebra, 130 (3), (pp. 223-235) (13 p.).
Moerdijk, I. (1998). Sets, topoi and intuitionism. Perspectives on intuitionism. Philosophia Mathematica, 3 (6), (pp. 169-177) (9 p.).
  1997 - Wetenschappelijke publicaties
Moerdijk, I. (1997). An addendum to "path-lifting for Grothendieck toposes". Proceedings of the American Mathematical Society, 125 (9), (pp. 2815-2818) (4 p.).
Moerdijk, I. & Palmgren, E. (1997). Minimal models of Heyting arithmetic. Journal of Symbolic Logic, 62 (4), (pp. 1448-1460) (13 p.).
Moerdijk, I. & Bunge, M. (1997). On the construction of the Grothendieck fundamental group of a topos by paths. Journal of Pure and Applied Algebra, 116 (1-3), (pp. 99-113) (15 p.).
Moerdijk, I. (1997). On the weak homotopy type of étale groupoids. In C. Albert (Eds.), Integrable systems and foliotions (pp. 147-156) (10 p.). Boston, MA: Birkhäuser, Serie: Progressive Mathematics.
Moerdijk, I. & Pronk, D.A. (1997). Orbifolds, sheaves and groupoids. K-Theory, 12 (1), (pp. 3-21) (19 p.).
Butz, C.H.E. & Moerdijk, I. (1997). Représentation des topos par des espaces topologiques. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 325 (5), (pp. 461-464) (4 p.).
  1996 - Wetenschappelijke publicaties
Moerdijk, I. & Kock, A.B. (1996). Spaces with local equivalence relations, and their monodromy. Topology and its Applications, 72 (1), (pp. 47-78) (32 p.).
MacLane, S. & Moerdijk, I. (1996). Topos Theory. In M. Hazewinkel (Eds.), Handbook of Algebra (pp. 501-528) (28 p.). Amsterdam: Elsevier North-Holland.
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Gegenereerd op 2018-01-18 04:29:45
Project:
Utrecht Geometry Centre
01-09-2014 tot 31-08-2020
Algemene projectbeschrijving 

Graduate School subsidie van NWO voor 4 promovendi in een selectief programma in Meetkunde.

Rol: Uitvoerder Financiering
2e geldstroom - NWO: NWO
Projectleden

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Nevenfuncties
  • Hoogleraar (deeltijd) Universiteit Sheffield 
  • Editor van diverse wetenschappelijke tijdschriften en boekenseries, zie http://www.math.uu.nl/people/moerdijk
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Volledige naam
prof. dr. I. Moerdijk Contactgegevens
Hans Freudenthalgebouw

Budapestlaan 6
Kamer 704
3584 CD  UTRECHT

Telefoonnummer direct 030 253 1291
Telefoonnummer afdeling 030 253 1430
Hans Freudenthalgebouw

Budapestlaan 6
Kamer 614
3584 CD  UTRECHT

Telefoonnummer direct 030 253 1526
Telefoonnummer afdeling 030 253 1430

Mailing Address:

I. Moerdijk, Department of Mathematics, Utrecht University, PO BOX 80.010,   3508 TA Utrecht, The Netherlands

 

Gegenereerd op 2018-01-18 04:29:45
Laatst bijgewerkt op 24-10-2017