JÁNOS KOLLÁR

ADDRESS

email: kollar@math.princeton.edu

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

CV

Publications

Is there a curse of the Fields medal?

Book on Moduli of Surfaces --- close to ending project

Families of varieties of general type

Algebraic Geometry Seminar

CORRECTIONS TO: Lectures on Resolutions of Singularities

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

BOOKS:

• Singularities of the minimal model program, Cambridge Univ. Press, by János Kollár and Sándor Kovács
• Lectures on resolution of singularities, Princeton Univ. Press. by János Kollár
• Rational and nearly rational varieties, Cambridge Univ. Press, by János Kollár, Karen E. Smith and Alessio Corti
• Current Topics in Complex Algebraic Geometry, Proceedings of the MSRI Special Year by Herbert Clemens and János Kollár
• Shafarevich Maps and Automorphic Forms, Princeton Univ. Press. by János Kollár
• Rational Curves on Algebraic Varieties, Springer by János Kollár
• Birational Geometry of Algebraic Varieties, by János Kollár and Shigefumi Mori, English edition: Cambridge Univ. Press, Japanese edition: Iwanami Shoten

 

 

MAT 416: Introduction to Algebraic Geometry

OLD E-PRINTS:

Seminar on Moduli of Surfaces --- Summer 1994

• Birational Geometry of Log Surfaces by János Kollár and Sándor Kovács

 

 

• Moduli of Polarized Schemes by János Kollár
• Algebraic Groups Acting on Schemes by János Kollár
• Bounding Singular Surfaces of General Type by V. Alexeev and S. Mori

 

 

Santa Cruz 1995

• Singularities of Pairs by János Kollár

 

 

Old Preprints

• Low Degree Polynomial Equations by János Kollár
• Polynomials with Integral Coefficients by János Kollár
• Real Algebraic Threefolds I: Terminal Singularities by János Kollár (small revisons: 1/5/98)
• Real Algebraic Threefolds II: Minimal Model Program by János Kollár (major improvements in sections 2 and 8 on 2/9/98, typos fixed 8/18/98)
• Real Algebraic Threefolds III: Conic Bundles by János Kollár
• Real Algebraic Threefolds IV: Del Pezzo Fibrations by János Kollár
• The Nash conjecture for threefolds by János Kollár
• Effective Nullstellensatz for Arbitrary Ideals by János Kollár (small changes: 8/24/98)
• Rationally Connected Varieties over Local Fields by János Kollár
• The topology of real and complex algebraic varieties by János Kollár (small changes: 4/12/99)
• Fundamental groups of rationally connected varieties by János Kollár
• Semi-continuity of complex singularity exponents and Kaehler-Einstein metrics on Fano orbifolds byJ.-P.\ Demailly and János Kollár
• Characterizations of $P^n$ in arbitrary characteristic by Yasuyuki Kachi and János Kollár
• Unirationality of cubic hypersurfaces by János Kollár
• Kaehler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces by Jennifer M. Johnson and János Kollár (small changes: 3/15/01)
• Fano hypersurfaces in weighted projective 4-spaces by Jennifer M. Johnson and János Kollár. The computer programs and downloadable lists are available at J. Johnson's home page
• The Nash Conjecture for Nonprojective Threefolds by János Kollár
• Real Abelian Varieties with Many Line Bundles by Nuria Joglar-Prieto and János Kollár
• Rationally connected varieties over finite fields by János Kollár and Endre Szabó
• The Nash problem on arc families of singularities by Shihoko Ishii and János Kollár
• Rational Curves on Varieties by Carolina Araujo and János Kollár
• Rationally Connected Varieties and Fundamental Groups by János Kollár

EDITORIAL INFORMATION:

• ERGEBNISSE DER MATHEMATIK, SPRINGER: Projects should be discussed with the Managing Editor or with the editor closest to the subject of the book.