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
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.
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.
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.
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)
Combinatorial Commutative Algebra
Ezra Miller;Bernd Sturmfels.
(2004)
SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
Bernd Sturmfels.
(2002)
Algorithms in Invariant Theory
Bernd Sturmfels.
(1993)
Algebraic algorithms for sampling from conditional distributions
Persi Diaconis;Bernd Sturmfels.
Annals of Statistics (1998)
Algebraic Statistics for Computational Biology
L. Pachter;B. Sturmfels.
(2005)
Introduction to Tropical Geometry
Diane Maclagan;Bernd Sturmfels.
(2015)
Lectures on Algebraic Statistics
Mathias Drton;Bernd Sturmfels;Seth Sullivant.
(2008)
Binomial Ideals
David Eisenbud;Bernd Sturmfels.
(1994)
First steps in tropical geometry
Jürgen Richter-Gebert;Bernd Sturmfels;Thorsten Theobald.
arXiv: Algebraic Geometry (2003)
Profile was last updated on December 6th, 2021.
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California Institute of Technology
Freie Universität Berlin
Royal Institute of Technology
École Normale Supérieure
University of Michigan–Ann Arbor
University of California, Berkeley
Northeastern University
MIT
Swiss Institute of Bioinformatics
Czech Technical University in Prague
French Institute for Research in Computer Science and Automation - INRIA
Publications: 35
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