H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 82 Citations 26,980 320 World Ranking 57 National Ranking 2

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Combinatorics
  • Geometry

His primary areas of study are Algebra, Pure mathematics, Discrete mathematics, Combinatorics and Polytope. Bernd Sturmfels has included themes like Hilbert's syzygy theorem and Conditional independence in his Algebra study. His Pure mathematics study combines topics from a wide range of disciplines, such as Type and Function field of an algebraic variety.

His Discrete mathematics research is multidisciplinary, incorporating elements of Polynomial ring, Gröbner basis, Algebraic geometry, Tropical geometry and Applied mathematics. Bernd Sturmfels merges Combinatorics with Algebraic statistics in his study. His Polytope study combines topics in areas such as Numerical analysis, Polynomial, Regular polygon, Convex polytope and Betti number.

His most cited work include:

  • Gröbner bases and convex polytopes (1272 citations)
  • Combinatorial Commutative Algebra (991 citations)
  • Oriented Matroids (796 citations)

What are the main themes of his work throughout his whole career to date?

Bernd Sturmfels spends much of his time researching Combinatorics, Pure mathematics, Discrete mathematics, Algebra and Algebraic geometry. His Combinatorics research incorporates elements of Polynomial and Rank. His biological study deals with issues like Variety, which deal with fields such as Algebraic variety.

His Discrete mathematics study frequently links to other fields, such as Gröbner basis. He is involved in the study of Algebra that focuses on Real algebraic geometry in particular. His studies in Algebraic geometry integrate themes in fields like Matrix and Graphical model.

He most often published in these fields:

  • Combinatorics (36.33%)
  • Pure mathematics (28.32%)
  • Discrete mathematics (19.53%)

What were the highlights of his more recent work (between 2014-2021)?

  • Pure mathematics (28.32%)
  • Combinatorics (36.33%)
  • Applied mathematics (8.01%)

In recent papers he was focusing on the following fields of study:

His main research concerns Pure mathematics, Combinatorics, Applied mathematics, Algebraic geometry and Algebraic number. His Pure mathematics research includes elements of Space and Regular polygon. His work deals with themes such as Semialgebraic set and Rank, which intersect with Combinatorics.

His study explores the link between Rank and topics such as Degree that cross with problems in Discrete mathematics. His research on Algebraic geometry concerns the broader Algebra. His study on Conic section is often connected to Focus as part of broader study in Algebra.

Between 2014 and 2021, his most popular works were:

  • Introduction to Tropical Geometry (497 citations)
  • The Euclidean Distance Degree of an Algebraic Variety (167 citations)
  • Algebraic Systems Biology: A Case Study for the Wnt Pathway (55 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Geometry
  • Combinatorics

The scientist’s investigation covers issues in Combinatorics, Pure mathematics, Algebraic geometry, Algebra and Polynomial. The various areas that he examines in his Combinatorics study include Order, Metric, Rank, Semialgebraic set and Nonnegative rank. He interconnects Univariate, Symmetric tensor, Tensor and Moment in the investigation of issues within Pure mathematics.

The concepts of his Algebraic geometry study are interwoven with issues in Identifiability, Blowing up, Signature and Abelian group. His work on Real algebraic geometry, Theta function and Field as part of general Algebra study is frequently linked to Focus, therefore connecting diverse disciplines of science. His biological study spans a wide range of topics, including Algebraic variety, Stochastic process, Parametric equation, Artificial intelligence and Computation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Gröbner bases and convex polytopes

Bernd Sturmfels.
(1995)

2070 Citations

Combinatorial Commutative Algebra

Ezra Miller;Bernd Sturmfels.
(2004)

1534 Citations

SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS

Bernd Sturmfels.
(2002)

926 Citations

Algorithms in Invariant Theory

Bernd Sturmfels.
(1993)

834 Citations

Algebraic algorithms for sampling from conditional distributions

Persi Diaconis;Bernd Sturmfels.
Annals of Statistics (1998)

784 Citations

Algebraic Statistics for Computational Biology

L. Pachter;B. Sturmfels.
(2005)

693 Citations

Introduction to Tropical Geometry

Diane Maclagan;Bernd Sturmfels.
(2015)

679 Citations

Lectures on Algebraic Statistics

Mathias Drton;Bernd Sturmfels;Seth Sullivant.
(2008)

495 Citations

Binomial Ideals

David Eisenbud;Bernd Sturmfels.
(1994)

490 Citations

First steps in tropical geometry

Jürgen Richter-Gebert;Bernd Sturmfels;Thorsten Theobald.
arXiv: Algebraic Geometry (2003)

487 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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