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- Bernd Sturmfels

Mathematics

Germany

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
83
Citations
29,738
491
World Ranking
76
National Ranking
4

2023 - Research.com Mathematics in Germany Leader Award

2022 - 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

- 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.

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

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.

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

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

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.

- 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)

- 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.

Gröbner bases and convex polytopes

Bernd Sturmfels.

**(1995)**

2192 Citations

Combinatorial Commutative Algebra

Ezra Miller;Bernd Sturmfels.

**(2004)**

1687 Citations

Oriented Matroids

Bernd Sturmfels;Michel Las Vergnas;Anders Björner.

**(1993)**

1589 Citations

SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS

Bernd Sturmfels.

**(2002)**

1009 Citations

Algorithms in Invariant Theory

Bernd Sturmfels.

**(1993)**

931 Citations

Algebraic algorithms for sampling from conditional distributions

Persi Diaconis;Bernd Sturmfels.

Annals of Statistics **(1998)**

858 Citations

Introduction to Tropical Geometry

Diane Maclagan;Bernd Sturmfels.

**(2015)**

824 Citations

Algebraic Statistics for Computational Biology

L. Pachter;B. Sturmfels.

**(2005)**

679 Citations

Gröbner Deformations of Hypergeometric Differential Equations

Mutsumi Saito;Bernd Sturmfels;Nobuki Takayama.

**(1999)**

538 Citations

Lectures on Algebraic Statistics

Mathias Drton;Bernd Sturmfels;Seth Sullivant.

**(2008)**

536 Citations

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