Department of Mathematics

Frans Oort

Professor Emeritus in Pure Mathematics at:

Department of Mathematics
University of Utrecht
Budapestlaan 6
3508 TA Utrecht
The Netherlands
tel: +31-30-2531514 / ... 1425 / ... 1430/ ... 1420
fax: +31-30-2518394
email address
email: F.Oort at uu dot nl

postal address
Mathematical Institute,
Pincetonplein 5
3584 CC Utrecht NL
The Netherlands

pdf file of "List of publications of Frans Oort".

pdf file van Remke Kruk - "Wankelend als een dame, het schaken in de Arabisch traditie", NK schaken augustus 2016.

pdf file of: Frans Oort - "Gauss: The Last Entry." Notices of the ICCM, July 2016, Vol. 4, pp. 29-37.

pdf file of: Frans Oort and Norbert Schappacher - "Early history of the Riemann Hypothesis in positive characteristic." The legacy of Bernhard Riemann after one hundred and fifty years, ALM 35, Higher Education Press and International Press, 2016, pp. 595-631.

pdf file of: Frans Oort - "The Riemann-Hurwitz formula." The legacy of Bernhard Riemann after one hundred and fifty years, ALM 35, Higher Education Press and International Press, 2016, pp. 567-594.

pdf file "CM Liftings". Notes for a talk at the conference: Lifting Problems and Galois Theory, BIRS Workshop August2015.

pdf file "Lifting questions". Notes for a talk at the conference: Lifting Problems and Galois Theory, BIRS Workshop August2015.

pdf file De Laatste stelling van Fermat", HOVO cursus, Leiden januari/februari 2015.

pdf file van "Priemgetallen". Voordracht Communiceren Wiskunde, 03-XII-2014.

pdf file of an interview with Frans Oort in Taiwan, 3-XII-2012.Notices of the ICCM {\bf 1} Number 2 (2013), 60--78.

pdf file van "Elliptische krommen". Project-college, 14-XI-2013 tot 23-I-2014.

pdf file of "Prime Numbers". To appear in ICCM Notices.Talk at Academia Sinica and National Taiwan University, 17-XII-2012.

pdf file of "Abelian varieties and Weil numbers". Talk, October 2013.

pdf file van "Priemgetallen". Hovo-cursus, Utrecht, november - december 2013

pdf file of "Arithmetic and geometry: 3 conjectures about dense sets of points." Academia Sinica and National Taiwan University.

pdf file "Priemgetallen." Communiceren in de Wiskunde (WISB 106), college Utrecht, 11 november 2012,

pdf file of "Moduli of abelian varieties in mixed and in positive characteristic." Handbook of Moduli, Vol. 3, pp.75 -- 134.

pdf file of B. Moonen and Frans Oort - "The Torelli locus and special subvarieties." Handbook of Moduli, Vol. 2, pp. 549 -- 594.

pdf file of "CM Jacobians." Conference "Galois covers and deformations", Bordeaux, June 25-29, 2012.

pdf file of "Lifting Galois covers of algebraic curves." Intercity number theory seminar, 8-VI-2012.

pdf file of: Ching-Li Chai & Frans Oort -- "Abelian varieties isogenous to a Jacobian." Ann. Math. 176 (2012), 589--635.

pdf file van: "Elliptische krommen en hun rol in de wiskunde." HOVO-cursus Wiskunde, november / december 2011, Utrecht.

pdf file of: "Did earlier thoughts inspire Grothendieck ?" Final version, VIII-2013. To appear in "Alexandre Grothendieck: A Mathematical Portrait. A collection of articles about the nature of Grothendieck's mathematics and his style and influence as a mathematician." Edited by Leila Schneps.

Frans Oort -- "Abelprijs voor John Tate." Nw Archief Wiskunde, maart 2011.

Ching-Li Chai and Frans Oort -- "Monodromy and irreducibility of leaves." Ann. Math. 173, 1359 -- 1396.

pdf file of "Special subvarieties in the Torelli locus." Talk at the Algebra Seminar, University of Pennsylvania, 18-X-2010.

pdf file of "Foliations in moduli spaces of abelian varieties and dimension of leaves." In: Volume dedicated to Yuri Manin.

ps file of Frans Oort and Ching-Li Chai:
Monodromy and irreducibility of leaves. Manuscript 11-VI-2008, 33 pp. To appear

ps file of Frans Oort and Ching-Li Chai:
Monodromy and irreducibility of leaves. Conference on abelian varieites, Amsterdam 29 -31 May 2006; 30 pp.

ps file of F. Oort: Stratifications and foliations of moduli spaces of abelian varieties. 27 pp. November 2005. Algebraic Geometry and Beyond: Kyoto December 2005.

ps file of F. Oort: Hecke orbits in moduli spaces. Seattle: 2005 AMS Summer Institute on Algebraic Geometry. Sheets, 22 pp. August 2005.

ps file of F. Oort: Foliations of moduli spaces and dimension of leaves. 36 pp.

ps file of F. Oort: Foliations in moduli spaces of abelian varieties and dimension of leaves. Felix-Klein-Kolloquium, D\"usseldorf 2 - VII - 2005. Manuscript 21 pp. 2005.

ps file of F. Oort: Abelian varieties and p-divisible groups. February 2005. Manuscript 10 pp. Yuri Manin's Emeritierung Conference.

ps file of F. Oort: Simple finite group schemes.
New title: Simple p-kernels of p-divisible groups.
Manuscript 29 pp. June 2004, revised January 2005. Advances in Mathematics. See http://authors.elsevier.com/sd/article/S0001870805001209

ps file of F. Oort: Abelian varieites isogous to a Jacobian. Manuscript 8 pp. Workshop Automorphisms of Curves, Leiden August 2004. This is Section 8 in http://www.numdam.org/item?id=RSMUP_2005__113__129_0

ps file of F. Oort: Hecke orbits in moduli spaces of abelian varieties and foliations. Manuscript 12 pp. Number theory day, Z\"urich, 2 - IV - 2004.

ps file of Ching-Li Chai & F. Oort: Hypersymmetric abelian varieties.

ps file of F. Oort: Special points in Shimura varieties, an introduction, talk at the IC Seminar, 14 - XI - 2003.

ps file of F. Oort: Hecke orbits and stratifications in moduli spaces of abelian varieties , talk at the Orsay / SAGA, 14 - X - 2003.

ps file of F. Oort: Lifting an automorphism of a curve to characteristic zero, talk at the University of Pennsylvania, 7 - V - 2003.

ps file of F. Oort: Abelian varieties over finite fields, talk Berkeley 22 - III - 2003.

ps file of F. Oort: Monodromy, Hecke orbits and Newton polygon strata, talk Bonn 24 - II - 2003.

ps file of F. Oort: Purity reconsidered.

ps file of F. Oort: Stratifications and foliations of moduli spaces, Seminar Yuri Manin, Bonn, 30 - VII - 2002.

ps file of F. Oort: Minimal p-divisible groups.

ps file of S. J. Edixhoven, B. J. J. Moonen \& F. Oort (Editors) -- Open problems in algebraic geometry.
Bull. Sci. Math. {\bf 125} (2001), 1 - 22.

ps file of F. Oort: Foliations in moduli spaces of abelian varieties.

ps file of F. Oort \& T. Zink: Families of p-divisible groups with constant Newton polygon.

ps file of A. J. de Jong \& F. Oort: Seminar on Algebraic Geometry, MIT 2002.

A. J. de Jong \& F. Oort " Purity of the stratification by Newton polygons".

ps file of "Anabelian number theory and geometry. Workshop, Lorentz Center Leiden, 3-4-5/XII/2001".

ps file of "Newton Polygon strata in the moduli space of abelian varieties".

ps file of "A stratification of a moduli space of abelian varieties".

ps file of "Newton polygons and p-divisible groups: a conjecture by Grothendieck".

ps file of "Open problems in algebraic geometry".

ps file of "Some questions in algebraic geometry".

ps file of "An aspect of harmony in music of Johann Sebastian Bach".

pdf file of "An aspect of harmony in music of Johann Sebastian Bach".

ps file van "Mijn jeugdliefde"; lustrum AEs-kwadraat, februari 2001.

pdf file of Remke Kruk \& Frans Oort "Hajj murals in Dakhla Oasis (Egypt)" In: Hajj, global interactions through pilgrimage (Ed. Luitgaard Mols \& Marjo Buitelaar). Sidestone Press 2015; pp. 163--184.

Here are some links to other people in Algebraic Geometry and/or Number Theory:

Ahmed Abbes Universit\'e de Paris 13
Dan Abramovich at Boston University
Francesco Baldassarri at Padua University
Pierre Berthelot at the University of Rennes 1
Frits Beukers at the University of Utrecht
Kevin Buzzard at Imperial College in London
Ching-Li Chai at the University of Pennsylvania, Philadelphia PA, USA
Robert Coleman at the University of California, Berkeley
Brian Conrad at Stanford University
Gunther Cornelissen at the University of Utrecht
Ronald Cramer at C.W.I.
Jan Denef at the University of Leuven
Christopher Deninger at the University of M\"unster
Bas Edixhoven at the University Leiden.
Gerard van der Geer at the University of Amsterdam
Eyal Goren at McGill
Shushi Harashita at Yokohama National University
Johan de Jong at Columbia University, New York.
Fumiharu Kato at Kyoto University.
Nicholas M. Katz at Princeton University.
Kiran Sridhara Kedlaya at M.I.T.
Minhyong Kim at the University of Arizona
Hanspeter Kraft at Basel University.
Hendrik Lenstra at the University of Leiden.
Ronald van Luijk at the University of California, Berkeley.
Dino Lorenzini at the University of Georgia
Elena Mantovan<\a> at Caltech California
Shinichi Mochizuki at RIMS, Kyoto
Yuri Manin at MPI for Mathematics, Bonn
Elena Mantovan at Caltech, Pasadena
Michel Matignon at Bordeaux.
Barry Mazur at Harvard university.
J. S. Milne
Ben Moonen at the Radboud University (Nijmegen)
David Mumford at Brown University
Nguyen Chanh Tu at Hue University, Vietnam.
Rutger Noot at the Universit\'e Louis Pasteur, Strasbourg
Arthur Ogus at the University of California, Berkeley
Cathy O'Neil at Barnard College, New York
Richard Pink at the ETH, Z\"urich
Richard Pink, Publications and Preprints at the ETH, Z\"urich
Bjorn Poonen at MIT
Ken Ribet at the University of California, Berkeley
Rene' Schoof in Rome
Joe Silverman at Brown University
Bart de Smit at the University of Leiden
Joseph Steenbrink, Radboud Universiteit Nijmegen.
Jakob Stix, Johann Wolfgang Goethe-Universit\"at Frankfurt.
Richard Taylor at IAS
Yuri Tschinkel at Courant Institute of Mathematical Sciences New York University
Jaap Top at the University of Groningen
Emmanuel Ullmo Univ. Paris Sud Orsay
Torsten Wedhorn at Paderborn University
Chia-Fu Yu at Academia Sinica, Taiwan
Noriko Yui at Queen's University
Hui June Zhu at SUNY at Buffalo
Thomas Zink at the University of Bielefeld