Bernd Sturmfels
Encyclopedia
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and Computer Science
Computer science
Computer science or computing science is the study of the theoretical foundations of information and computation and of practical techniques for their implementation and application in computer systems...
at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
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He received his PhD in 1987 from the University of Washington
University of Washington
University of Washington is a public research university, founded in 1861 in Seattle, Washington, United States. The UW is the largest university in the Northwest and the oldest public university on the West Coast. The university has three campuses, with its largest campus in the University...
and the Technische Universität Darmstadt
Darmstadt University of Technology
The Technische Universität Darmstadt, abbreviated TU Darmstadt, is a university in the city of Darmstadt, Germany...
. After two postdoctoral years at the Institute for Mathematics and its Applications
Institute for Mathematics and its Applications
The Institute for Mathematics and its Applications located at the University of Minnesota is an organization established in 1982 by the National Science Foundation of the United States...
in Minneapolis, Minnesota
Minneapolis, Minnesota
Minneapolis , nicknamed "City of Lakes" and the "Mill City," is the county seat of Hennepin County, the largest city in the U.S. state of Minnesota, and the 48th largest in the United States...
, and the Research Institute for Symbolic Computation
Research Institute for Symbolic Computation
The Research Institute for Symbolic Computation is a leading research institute in the area of symbolic computation, including automated theorem proving and computer algebra. It is located in Schloß Hagenberg in Hagenberg near Linz in Austria. RISC was founded in 1987 under Bruno Buchberger and...
in Linz
Linz
Linz is the third-largest city of Austria and capital of the state of Upper Austria . It is located in the north centre of Austria, approximately south of the Czech border, on both sides of the river Danube. The population of the city is , and that of the Greater Linz conurbation is about...
, Austria
Austria
Austria , officially the Republic of Austria , is a landlocked country of roughly 8.4 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Slovakia and Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the...
, he taught at Cornell University
Cornell University
Cornell University is an Ivy League university located in Ithaca, New York, United States. It is a private land-grant university, receiving annual funding from the State of New York for certain educational missions...
, before joining UC Berkeley in 1995. His honors include a National Young Investigator Fellowship, an Alfred P. Sloan
Alfred P. Sloan
Alfred Pritchard Sloan, Jr. was an American business executive in the automotive industry. He was a long-time president, chairman, and CEO of General Motors Corporation...
Fellowship, and a David and Lucile Packard Fellowship
David and Lucile Packard Foundation
The David and Lucile Packard Foundation is a private foundation that provides grants to not-for-profit organizations. It was created in 1964 by David Packard and his wife Lucile Salter Packard. Following David Packard's death in 1996, the Foundation became the beneficiary of part of his estate...
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Bernd Sturmfels has made contributions to a variety of areas of mathematics, including algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, commutative algebra
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
, discrete geometry
Discrete geometry
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles,...
, Gröbner bases
Gröbner basis
In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R...
, T-theory
T-theory
T-theory is a branch of discrete mathematics dealing with analysis of trees and discrete metric spaces.-General history:As per Andreas Dress, T-theory originated from a question raised by Manfred Eigen, a recipient of the Nobel Prize in Chemistry, in the late seventies. He was trying to fit twenty...
, toric varieties, tropical geometry
Tropical geometry
Tropical geometry is a relatively new area in mathematics, which might loosely be described as a piece-wise linear or skeletonized version of algebraic geometry. Its leading ideas had appeared in different guises in previous works of George M...
, algebraic statistics
Algebraic statistics
Algebraic statistics is the use of algebra to advance statistics. Algebra has been useful for experimental design, parameter estimation, and hypothesis testing....
, and computational biology
Computational biology
Computational biology involves the development and application of data-analytical and theoretical methods, mathematical modeling and computational simulation techniques to the study of biological, behavioral, and social systems...
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