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个人简介
I am interested in many areas of computational mathematics. My main area of research lies in the field of Computer Algebra with a secondary area being in the field of Computational Finance. In addition, I am the principal researcher in the MathBrush project, which seeks to create software for doing mathematics on pen-based devices.
My work on computer algebra centers on effective algorithms for both exact and symbolic-numeric computation. My work includes algorithms for Matrix Normal Forms (polynomial and Ore domains), Greatest Common Divisors of numeric polynomials, Differential equations (particularly those with elliptic functions as coefficients) and Rational Approximation and Interpolation. My main co-author in this topic (and numerous other topics) is Bernhard Beckermann
My work in computational finance centers on fast, stable methods for solving financial option problems, particularly options whose underlying asset follows a jump diffusion pricing model. My main co-author in this topic is Peter Forsyth
My work on pen-based mathematics centers on the development of the MathBrush penmath system. This work includes recognition of handwritten mathematics along with understanding how mathematics can be done using only a pen and a computer algebra backend,.
I am an associate editor of Journal of Symbolic Computation (JSC). I am a former associate editor of ACM Transactions of Mathematical Software (TOMS).
研究兴趣
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Advances in Applied Mathematics (2022): 102389-102389
arXiv (Cornell University) (2020)
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