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THOMAS F. COLEMAN
Dean, Faculty of Mathematics
Professor, Combinatorics and Optimization
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News
For an update from the Faculty press
Faculty of Mathematics.
Upcoming research presentations/meetings include:
Recent research presentations include:
Research Program
My research program is concerned with the design and understanding of practical
and efficient numerical algorithms for continuous optimization problems. My
primary interest is the development of computational methods and tools for
large-scale problems with emphasis on applications of computational finance.
Specific interests include the computation of implied volatility surfaces from
option prices, hedging techniques, index tracking, portfolio optimization, and
the use of parallel computing techniques in computational finance.
Research Projects
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Efficient VaR, CVaR Computations
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Risk Minimization with Applications
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Hedging Options, Portfolios, and Insurance Contracts
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Financial Engineering on Computational Clusters
Research Articles
COMPUTATIONAL FINANCE REPORTS:
Discrete hedging of American-type options
using local risk minimization. June 2006.
Minimizing Tracking Error While Restricting
the Number of Assets. May 2006.
Total Risk Minimization using Monte-Carlo Simulations. April 2005
Minimizing CVaR and VaR for a Portfolio of Derivatives. September 2005
Hedging a Portfolio of Derivatives by Modeling Cost. January 2003
Discrete Hedging under Piecewise linear Risk Minimization. December 2002
AUTOMATIC DIFFERENTIATION REPORTS:
PARALLEL/CLUSTER COMPUTING REPORTS:
OPTIMIZATION REPORTS:
A Preconditioned Conjugate Gradient Approach to Linear
Equality Constrained Optimization. October 2000
Past Technical Reports
Many technical reports can be located in the
Cornell University Library collection
200 University Avenue West, Waterloo, ON Canada N2L 3G1 tfcoleman@uwaterloo.ca