Related Research Articles
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:
Macaulay2 is a free computer algebra system created by Daniel Grayson and Michael Stillman for computation in commutative algebra and algebraic geometry.
Bernd Sturmfels 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.
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.
Jiří (Jirka) Matoušek was a Czech mathematician working in computational geometry and algebraic topology. He was a professor at Charles University in Prague and the author of several textbooks and research monographs.
Louis Joseph Billera is a Professor of Mathematics at Cornell University.
David Archibald Cox is a retired American mathematician, working in algebraic geometry.
Karen Ellen Smith is an American mathematician, specializing in commutative algebra and algebraic geometry. She completed her bachelor's degree in mathematics at Princeton University before earning her PhD in mathematics at the University of Michigan in 1993. Currently she is the Keeler Professor of Mathematics at the University of Michigan. In addition to being a researcher in algebraic geometry and commutative algebra, Smith with others wrote the textbook An Invitation to Algebraic Geometry.
Rekha Rachel Thomas is a mathematician and operations researcher. She works as a professor of mathematics at the University of Washington, and was the Robert R. and Elaine F. Phelps Professor there from 2008 until 2012. Her research interests include mathematical optimization and computational algebra.
Dmitry Feichtner-Kozlov is a Russian-German mathematician.
Catherine Huafei Yan is a professor of mathematics at Texas A&M University interested in algebraic combinatorics.
Irena Swanson is an American mathematician specializing in commutative algebra. She is head of the Purdue University Department of Mathematics since 2020. She was a professor of mathematics at Reed College from 2005 to 2020.
Sarah Glaz is a mathematician and mathematical poet. Her research specialty is commutative algebra; she is a professor emeritus of mathematics at the University of Connecticut.
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.
Cynthia Vinzant is an American mathematician specializing in real algebraic geometry; her research has also involved algebraic combinatorics, matroid theory, Hermitian matrices, and spectrahedra in convex optimization. She is an associate professor of mathematics at the University of Washington.
John Brittain Little is a retired American mathematician, the author of several books in algebraic geometry and the history of mathematics. He is distinguished professor emeritus in the departments of mathematics and computer science at the College of the Holy Cross.
References
- ↑ Birth year from Library of Congress catalog entry, retrieved 2019-03-03.
- ↑ Dr Diane Maclagan, Warwick Mathematics Institute, retrieved 2019-06-03
- ↑ Hookings, G. A. (December 1991). "The 32nd International Mathematical Olympiad" (PDF). Notices. Newsletter of the New Zealand Mathematical Society. 53: 10.
- ↑ "Diane Maclagan - International Mathematical Olympiad". www.imo-official.org. Retrieved 2019-03-30.
- 1 2 3 Curriculum vitae (PDF), 2010, retrieved 2018-09-30
- ↑ Diane Maclagan at the Mathematics Genealogy Project
- ↑ Introduction to Tropical Geometry: Graduate Studies in Mathematics 161, American Mathematical Society, 2015. Reviews:
- Zaldivar, Felipe (August 2015). "Review". MAA Reviews.
- Popescu-Pampu, Patrick. Mathematical Reviews. MR 3287221.
{{cite journal}}: CS1 maint: untitled periodical (link) - Joswig, Michael (February 2016). "Review" (PDF). Jahresbericht der Deutschen Mathematiker-Vereinigung. 118 (3): 233–237. doi:10.1365/s13291-016-0133-6. S2CID 124279710.
- Draisma, Jan (2017). "Review" (PDF). Nieuw Archief voor Wiskunde. 5th ser. (in Dutch). 18 (2): 145–146.
- ↑ Computational Algebra and Combinatorics of Toric Ideals: Part I of Commutative Algebra and Combinatorics, Ramanujan Mathematical Society Lecture Notes Series, Vol. 4, 2007. Review:
- Walther, Uli (2009). Mathematical Reviews. MR 2406243.
{{cite journal}}: CS1 maint: untitled periodical (link)
- Walther, Uli (2009). Mathematical Reviews. MR 2406243.
