Bernd Sturmfels | |
---|---|

Born | |

Education | Darmstadt University of Technology University of Washington |

Scientific career | |

Institutions | Research Institute for Symbolic Computation Cornell University University of California, Berkeley Max Planck Institute for Mathematics in the Sciences |

Thesis | Oriented Matroids and Combinatorial Convex Geometry; Computational Synthetic Geometry |

Doctoral advisor | Jürgen Bokowski Victor Klee |

Doctoral students | Melody Chan Jesús A. De Loera Mike Develin Diane Maclagan Rekha R. Thomas Caroline Uhler |

Website | math |

**Bernd Sturmfels** (born March 28, 1962 in Kassel, West Germany) is a Professor of Mathematics and Computer Science at the University of California, Berkeley and is a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017.

He received his PhD in 1987 from the University of Washington and the Technische Universität Darmstadt. After two postdoctoral years at the Institute for Mathematics and its Applications in Minneapolis, Minnesota, and the Research Institute for Symbolic Computation in Linz, Austria, he taught at Cornell University, before joining University of California, Berkeley in 1995. His Ph.D. students include Melody Chan, Jesús A. De Loera, Mike Develin, Diane Maclagan, Rekha R. Thomas, Caroline Uhler, and Cynthia Vinzant.

Bernd Sturmfels has made contributions to a variety of areas of mathematics, including algebraic geometry, commutative algebra, discrete geometry, Gröbner bases, toric varieties, tropical geometry, algebraic statistics, and computational biology. He has written several highly cited papers in algebra with Dave Bayer.

He has authored or co-authored multiple books including * Introduction to tropical geometry * with Diane Maclagan.^{ [1] }

Sturmfels' honors include a National Young Investigator Fellowship, an Alfred P. Sloan Fellowship, and a David and Lucile Packard Fellowship. In 1999 he received a Lester R. Ford Award for his expository article *Polynomial equations and convex polytopes*.^{ [2] } He was awarded a Miller Research Professorship at the University of California Berkeley for 2000–2001. In 2018, he was awarded the George David Birkhoff Prize in Applied Mathematics.

In 2012, he became a fellow of the American Mathematical Society.^{ [3] }

In mathematics, **tropical geometry** is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition:

**William Gilbert Strang**, usually known as simply **Gilbert Strang** or **Gil Strang**, is an American mathematician, with contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing seven mathematics textbooks and one monograph. Strang is the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He teaches Introduction to Linear Algebra, Computational Science and Engineering, and Matrix Methods and his lectures are freely available through MIT OpenCourseWare.

**Macaulay2** is a free computer algebra system created by Daniel Grayson and Michael Stillman for computation in commutative algebra and algebraic geometry.

**Combinatorial commutative algebra** is a relatively new, rapidly developing mathematical discipline. As the name implies, it lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods of one to address problems arising in the other. Less obviously, polyhedral geometry plays a significant role.

**Algebraic combinatorics** is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra.

**Louis Joseph Billera** is a Professor of Mathematics at Cornell University.

The study of **integer points in convex polyhedra** is motivated by questions such as "how many nonnegative integer-valued solutions does a system of linear equations with nonnegative coefficients have" or "how many solutions does an integer linear program have". Counting integer points in polyhedra or other questions about them arise in representation theory, commutative algebra, algebraic geometry, statistics, and computer science.

In mathematics, the **Newton polytope** is an integral polytope associated with a multivariate polynomial. It can be used to analyze the polynomial's behavior when specific variables are considered negligible relative to the others. Specifically, given a vector of variables and a finite family of pairwise distinct vectors from each encoding the exponents within a monomial, consider the multivariate polynomial

**Michael Lee Develin** is an American mathematician known for his work in combinatorics and discrete geometry.

**Richard M. Pollack** was an American geometer who spent most of his career at the Courant Institute of Mathematical Sciences at New York University, where he was Professor Emeritus until his death.

**Santosh Vempala** is a prominent computer scientist. He is a Distinguished Professor of Computer Science at the Georgia Institute of Technology. His main work has been in the area of Theoretical Computer Science.

**David Archibald Cox** is a retired American mathematician, working in algebraic geometry.

**Jesús Antonio De Loera** is a Mexican-American mathematician at the University of California, Davis, specializing in discrete mathematics and discrete geometry.

**Diane Margaret Maclagan** is a professor of mathematics at the University of Warwick. She is a researcher in combinatorial and computational commutative algebra and algebraic geometry, with an emphasis on toric varieties, Hilbert schemes, and tropical geometry.

In mathematics, a **polyhedral complex** is a set of polyhedra in a real vector space that fit together in a specific way. Polyhedral complexes generalize simplicial complexes and arise in various areas of polyhedral geometry, such as tropical geometry, splines and hyperplane arrangements.

**Melody Tung Chan** is an American mathematician and violinist who works as Associate Professor of Mathematics at Brown University. She is a winner of the Alice T. Schafer Prize and of the AWM–Microsoft Research Prize in Algebra and Number Theory. Her research involves combinatorial commutative algebra, graph theory, and tropical geometry.

**Michael Eugene Stillman** is an American mathematician working in computational algebraic geometry and commutative algebra. He is a Professor of Mathematics at Cornell University. He is known for being one of the creators of the Macaulay2 computer algebra system.

* Introduction to Tropical Geometry* is a book on tropical geometry, by Diane Maclagan and Bernd Sturmfels. It was published by the American Mathematical Society in 2015 as volume 161 of Graduate Studies in Mathematics.

**Mohamed Omar** is a mathematician interested in combinatorics, and algebra. Omar is currently an Associate Professor of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College.

**James Milton Renegar Jr.** is an American mathematician, specializing in optimization algorithms for linear programming and nonlinear programming.

- ↑ Maclagan, Diane; Sturmfels, Bernd (2015).
*Introduction to tropical geometry*. Providence, Rhode Island: American Mathematical Society. ISBN 978-0-8218-5198-2. - ↑ Sturmfels, Bernd (1998). "Polynomial equations and convex polytopes".
*Amer. Math. Monthly*.**105**(10): 907–922. doi:10.2307/2589283. JSTOR 2589283. - ↑ List of Fellows of the American Mathematical Society, retrieved 2013-08-05.

- Gallian, Joe; Ivars Peterson (January 2008). ""Mathematicians Have a Different Perspective": An Interview with Bernd Sturmfels" (PDF).
*MAA FOCUS*. Washington, DC: Mathematical Association of America.**28**(1): 4–7. ISSN 0731-2040 . Retrieved 2013-09-15.

- Homepage at Berkeley
- Bernd Sturmfels at the Mathematics Genealogy Project
- Bernd Sturmfels publications indexed by Google Scholar

This page is based on this Wikipedia article

Text is available under the CC BY-SA 4.0 license; additional terms may apply.

Images, videos and audio are available under their respective licenses.

Text is available under the CC BY-SA 4.0 license; additional terms may apply.

Images, videos and audio are available under their respective licenses.