Department of Mathematics
Princeton University
Fine Hall, Washington Road Princeton, NJ 08544-1000

email: kollar@math.princeton.edu

Office: 605 Fine Hall
Math Department Phone: (609) 258 - 4200
Math Department Fax: (609) 258 - 1367




Is there a curse of the Fields medal?

review of the paper "Prizes and productivity: how winning the Fields medal affects scientific output" by G. J. Borjas and K. B. Doran.

Book on Moduli of Surfaces --- ongoing project

I am writing a book on the moduli of varieties of general type, more generally about the moduli of pairs (X,D) such that K_X+D is ample. Below is the 2017, July 20 version of my book. Chapters 1--5, 9--10 are in (hopefully) close to final form. Chapter 6 is partial. I have some fragments of the missing chapters 6--8, probably eventually there will be more than three, so the numbers 9, 10 are temporary. Any comments are most welcome. Since these are not final notes, citations, references, proofs are sometimes missing. Any comments, corrections or suggestions are welcome.
  • Chapters 1--5 and 9--10

  • Algebraic Geometry Seminar

    CORRECTIONS TO: Lectures on Resolutions of Singularities

    corrections in PDF

    The structure of algebraic varieties -- talk at the 2014 Seoul ICM

    original slides, with additional comments based on the oral presentation in Seoul, in PDF


    MAT 416: Introduction to Algebraic Geometry

  • Topics for student projects in algebraic geometry
  • MAT 416: Homework for Algebraic Geometry


    Unless otherwise indicated, the files below are postscript files.

    Seminar on Moduli of Surfaces --- Summer 1994

    Santa Cruz 1995

    Old Preprints