World's Best Scientists 2026 revealed!
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Mathematics
Germany
2026

D-Index & Metrics

Mathematics

D-Index
88
Citations
34059
World Ranking
88
National Ranking
3

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
  • 2014 - SIAM Fellow For advancing symbolic and numerical techniques for solving systems of nonlinear polynomial equations and inequalities and connecting computational algebraic geometry with applications.
  • 2013 - Fellow of the American Mathematical Society
  • 2010 - John von Neumann Lecturer
  • 1991 - Fellow of Alfred P. Sloan Foundation

Overview

Bernd Sturmfels is affiliated with the Max Planck Institute for Mathematics in the Sciences in Germany. Their research spans the fields of Mathematics and Computer Science, with major contributions to computational theory and mathematics, geometry and topology, and algebra and number theory.

Their work touches on several specialized subfields, including discrete mathematics and combinatorics as well as statistical and nonlinear physics. Key topics covered encompass polynomial and algebraic computation, algebraic geometry and number theory, commutative algebra and its applications, advanced combinatorial mathematics, advanced numerical analysis techniques, nonlinear waves and solitons, and algebraic structures and combinatorial models.

Bernd Sturmfels has collaborated extensively with several researchers, including Paul Breiding, Kathlén Kohn, Simon Telen, Claudia Fevola, and Svala Sverrisdóttir.

The scientist publishes frequently in a range of venues, with notable recurrent publications in arXiv (Cornell University), Journal of Symbolic Computation, Algebraic Statistics, Discrete & Computational Geometry, and the SIAM Journal on Applied Algebra and Geometry.

Recent papers include:

  • Likelihood degenerations (2023), Advances in Mathematics
  • Quantum Correlations in the Minimal Scenario (2023), Quantum
  • Wasserstein distance to independence models (2020), CINECA IRIS Institutional Research Information System (University of Pisa)
  • Estimating linear covariance models with numerical nonlinear algebra (2020), Algebraic Statistics
  • Likelihood equations and scattering amplitudes (2021), Algebraic Statistics

Bernd Sturmfels has authored books published by the American Mathematical Society and Oberwolfach Seminars. Notable works include "Invitation to Nonlinear Algebra" (2021) and "Metric Algebraic Geometry" (2024).

Their career has been recognized through multiple awards: they became a Fellow of the American Mathematical Society in 2013, a SIAM Fellow in 2014 for their work in symbolic and numerical techniques related to nonlinear polynomial equations, the John von Neumann Lecturer in 2010, and a Fellow of the Alfred P. Sloan Foundation in 1991.

Best Publications

  • Gröbner bases and convex polytopes

    Bernd Sturmfels

  • Combinatorial Commutative Algebra

    Ezra Miller;Bernd Sturmfels

  • Oriented Matroids

    Bernd Sturmfels;Michel Las Vergnas;Anders Björner

  • SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS

    Bernd Sturmfels

  • Algorithms in Invariant Theory

    Bernd Sturmfels

  • Algebraic algorithms for sampling from conditional distributions

    Persi Diaconis;Bernd Sturmfels

  • Introduction to Tropical Geometry

    Diane Maclagan;Bernd Sturmfels

  • Algebraic Statistics for Computational Biology

    L. Pachter;B. Sturmfels

  • Lectures on Algebraic Statistics

    Mathias Drton;Bernd Sturmfels;Seth Sullivant

  • The tropical Grassmannian

    David Speyer;Bernd Sturmfels

  • Gröbner Deformations of Hypergeometric Differential Equations

    Mutsumi Saito;Bernd Sturmfels;Nobuki Takayama

  • First steps in tropical geometry

    Jürgen Richter-Gebert;Bernd Sturmfels;Thorsten Theobald

  • Binomial Ideals

    David Eisenbud;Bernd Sturmfels

  • Binomial Ideals

    Unknown

  • Theory of algebraic invariants

    David Hilbert;Bernd Sturmfels;Reinhard C. Laubenbacher

  • A polyhedral method for solving sparse polynomial systems

    Birkett Huber;Bernd Sturmfels

  • Tropical Convexity

    Mike Develin;Bernd Sturmfels

  • Intersection theory on toric varieties

    William Fulton;Bernd Sturmfels

  • Tropical convexity

    Unknown

  • On the Newton Polytope of the Resultant

    Bernd Sturmfels

  • Minimizing Polynomial Functions

    Pablo A. Parrilo;Bernd Sturmfels

  • Algebraic Statistics for Computational Biology: Statistics

    Lior Pachter;Bernd Sturmfels

Frequent Co-Authors

Lior Pachter
Lior Pachter California Institute of Technology
Günter M. Ziegler
Günter M. Ziegler Freie Universität Berlin
Anders Björner
Anders Björner Royal Institute of Technology
Seth Sullivant
Seth Sullivant North Carolina State University
Giorgio Ottaviani
Giorgio Ottaviani University of Florence
Reinhard Laubenbacher
Reinhard Laubenbacher University of Florida
Jean Ponce
Jean Ponce École Normale Supérieure
Jesús A. De Loera
Jesús A. De Loera University of California, Davis
David Eisenbud
David Eisenbud University of California, Berkeley
David E Speyer
David E Speyer University of Michigan–Ann Arbor

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