| Internet: search engines, compression | Graph theory, linear algebra, wavelets |
| Confidentiality | Number theory, cryptology/combinatorics |
| Global reconnaissance | Signal / image processing, data mining |
| Options valuation | Black-Scholes model and Monte Carlo simulation |
| Analysis of the human genome | Data mining, pattern recognition, algorithms |
| Rational drug design | Data mining, combinatorics, statistics |
| MRI and CAT Imaging | Integral geometry, Fourier analysis, wavelet |
| Aerodynamic design | Differential equations |
| Visual effect | Computer graphics, differential equations |
| Modeling of oceans and atmosphere | Wavelets, statistics, numerical analysis |
| Earthquake analysis and prediction | Statistics, dynamical systems/turbulence |