Jonathan Hauenstein

The current focus of Dr. Hauenstein's research is developing and implementing numerical and hybrid symbolic-numeric algorithms for computing and manipulating algebraic sets, and the application of these algorithms to solve large-scale problems arising in biology, engineering, and physics. Another focus of his research in the field of numerical algebraic geometry is to develop efficient methods for computing steady-state solutions to systems of partial differential equations.

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Loek Helminck
In the past 10 years most of Dr. Helminck's research has been an evolving study of symmetric spaces, their representations and applications. Symmetric spaces are also known as symmetric varieties or symmetric k-varieties when the base field k is not algebraically closed. These symmetric spaces play an important role in many areas of mathematics, including geometry, singularity theory and the cohomology of arithmetic subgroups. They are probably best known, however, for their role in representation theory.

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Seth Sullivant
The main focus of Dr. Sullivant's research is on developing and applying techniques from algebra (in particular, algebraic geometry, commutative algebra, and combinatorics) to theoretical and computational problems in statistics and biology.  Thus, his research falls under the scope of algebraic statistics and algebraic biology.
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Agnes Szanto
The general objectives of Dr. Szanto's research program are to develop efficient algorithms for problems in algebra and in differential algebra, to analyze the computational complexity of the algorithms and to implement them. 


Currently she is working on symbolic-numeric algorithms for the solution of certain polynomial and differential systems: these systems are given with limited accuracy and were traditionally called ill-conditioned. The goal is to find robust and efficient algorithms to solve them using the integration of numerical and symbolic techniques.
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Department of Mathematics
2108 SAS Hall
2311 Stinson Drive
Box 8205, NC State University
Raleigh, NC 27695-8205

Phone (919) 515-2382
(919) 513-7336

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