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Mathematics
Germany
2026

D-Index & Metrics

Mathematics

D-Index
72
Citations
21778
World Ranking
243
National Ranking
14

Research.com Recognitions

  • 2026 - Research.com Mathematics in Germany Leader Award
  • 2025 - Research.com Mathematics in Germany Leader Award
  • 2023 - Research.com Mathematics in Germany Leader Award
  • 2017 - Member of the National Academy of Sciences
  • 1998 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 1997 - Royal Netherlands Academy of Arts and Sciences
  • 1993 - Member of Academia Europaea
  • 1987 - Frank Nelson Cole Prize in Number Theory

Overview

Don Zagier is affiliated with the Max Planck Institute for Mathematics in Germany. Their research spans multiple areas within mathematics, especially in geometry, topology, mathematical physics, algebra, and number theory. Over their career, they have contributed extensively to both foundational and advanced topics in these fields.

The main fields of study for Don Zagier include Mathematics, with a focus on several specialized subfields such as:

  • Geometry and Topology
  • Mathematical Physics
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Statistical and Nonlinear Physics

Key thematic areas in their work cover:

  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Mathematical Identities
  • Algebraic Geometry and Number Theory
  • Advanced Combinatorial Mathematics
  • Nonlinear Waves and Solitons
  • Geometric and Algebraic Topology

Don Zagier has published extensively in various academic venues. Among the frequent publication platforms are:

  • arXiv (Cornell University)
  • Inventiones mathematicae
  • Symmetry Integrability and Geometry Methods and Applications
  • Proceedings of the National Academy of Sciences
  • Communications in Number Theory and Physics

Some notable recent papers authored or co-authored by Don Zagier include:

  • Genus-zero and genus-one string amplitudes and special multiple zeta values, 2020, Communications in Number Theory and Physics
  • Masur-Veech volumes and intersection theory on moduli spaces of Abelian differentials, 2020, Inventiones mathematicae
  • Bloch groups, algebraic K-theory, units, and Nahm's Conjecture, 2023, Annales Scientifiques de l'École Normale Supérieure
  • Asymptotics of Nahm sums at roots of unity, 2020, The Ramanujan Journal
  • On tau-functions for the KdV hierarchy, 2021, Selecta Mathematica

Collaboration has been significant in their career, with frequent co-authors including:

  • Stavros Garoufalidis
  • Di Yang
  • Boris Dubrovin
  • Dawei Chen
  • Martin Möller

Don Zagier has received several recognitions throughout their professional life:

  • Member of the National Academy of Sciences, 2017
  • German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der Wissenschaften (Mathematics), 1998
  • Royal Netherlands Academy of Arts and Sciences, 1997
  • Member of Academia Europaea, 1993
  • Frank Nelson Cole Prize in Number Theory, 1987

Best Publications

  • The Theory of Jacobi Forms

    Martin Eichler;Don Zagier

  • Heegner points and derivatives of L-series.

    Benedict H. Gross;Don B. Zagier;Don B. Zagier

  • Values of Zeta Functions and Their Applications

    Don Zagier

  • The Euler characteristic of the moduli space of curves

    J. Harer;Don Zagier

  • The 1-2-3 of Modular Forms

    Unknown

  • Volumes of hyperbolic three-manifolds

    Walter D. Neumann;Don Zagier

  • Values of L -series of modular forms at the center of the critical strip

    W. Kohnen;D. Zagier

  • Heegner points and derivatives of L-series. II.

    B. Gross;W. Kohnen;W. Kohnen;Don Zagier;Don Zagier

  • Quantum Black Holes, Wall Crossing, and Mock Modular Forms

    Atish Dabholkar;Sameer Murthy;Don Zagier

  • Modular Functions of One Variable III

    Jean-Pierre Serre;Don Bernard Zagier

  • Derivation and double shuffle relations for multiple zeta values

    Kentaro Ihara;Masanobu Kaneko;Don Zagier

  • Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus

    Friedrich Hirzebruch;Don Zagier

  • The dilogarithm function.

    Don Zagier;Don Zagier

  • Elliptic modular forms and their applications.

    Don Zagier

  • A Generalized Jacobi Theta Function and Quasimodular Forms

    Masanobu Kaneko;Don Zagier;Don Zagier

  • Vassiliev invariants and a strange identity related to the Dedekind eta-function

    Don Zagier

  • Modular forms whose fourier coefficients involve zeta-functions of quadratic fields

    D. Zagier

  • On singular moduli.

    B.H. Gross;Don B. Zagier

  • Period functions for Maass wave forms. I.

    John Lewis;Don Zagier

  • A Kronecker limit formula for real quadratic fields

    Don Zagier

  • Periods of modular forms and Jacobi theta functions

    Don Zagier;Don Zagier

Frequent Co-Authors

Friedrich Hirzebruch
Friedrich Hirzebruch Max Planck Institute for Mathematics
Benedict H. Gross
Benedict H. Gross University of California, San Diego
Hendrik W. Lenstra
Hendrik W. Lenstra Leiden University
Walter D. Neumann
Walter D. Neumann Columbia University
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Stavros Garoufalidis
Stavros Garoufalidis Max Planck Institute for Mathematics
Sergei Gukov
Sergei Gukov California Institute of Technology
Zhi-Wei Sun
Zhi-Wei Sun Nanjing University
Jean-Pierre Serre
Jean-Pierre Serre Collège de France
Andrew M. Odlyzko
Andrew M. Odlyzko University of Minnesota

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