Research Output per year

## Personal profile

### Research interests

My research includes the application of stochastic analysis to mathematical finance. I am interested in pricing methods and risk management of financial derivatives, and in computational finance. I am also interested in the design of methods for solving stochastic differential equations, in particular methods that preserve the qualitative characteristics of the solution.

### Biography

I joined Heriot-Watt University in 2000. Prior to my current position, I worked as a risk manager in the financial services industry, and I have held academic positions at the University of Hamburg and the University of Karlsruhe. I obtained my PhD at the University of Karlsruhe, Germany.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Research Output 1995 2019

## Algebraic structures and stochastic differential equations driven by Lévy processes

Curry, C., Ebrahimi-Fard, K., Malham, S. J. A. & Wiese, A., 23 Jan 2019, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 475, 2221, 20180567.Research output: Contribution to journal › Article

Open Access

File

integrators

Lévy Process

Algebraic Structure

Stochastic Equations

Differential equations

## Flows and stochastic Taylor series in Ito calculus

Wiese, A., Malham, S. J., Ebrahimi-Fard, K. & Patras, F., 18 Nov 2015, In : Journal of Physics A: Mathematical and Theoretical. 48, 49, 17 p., 495202.Research output: Contribution to journal › Article

Open Access

File

Taylor series

Semimartingale

Calculus

Logarithm

Shuffle

## The exponential Lie series for continuous semimartingales

Ebrahimi-Fard, K., Malham, S. J., Patras, F. & Wiese, A., Dec 2015, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2184, 20 p.Research output: Contribution to journal › Article

File

Semimartingale

Vector Field

Series

Logarithm

Homogeneous Manifold

## Efficient almost-exact Lévy area sampling

Malham, S. J. A. & Wiese, A., 2014, In : Statistics and Probability Letters. 88, 1, p. 50-55 6 p.Research output: Contribution to journal › Article

Wiener Process

Logistics

Random variable

Infinite sum

Quasi-Monte Carlo

## Lévy processes and quasi-shuffle algebras

Curry, C., Ebrahimi-Fard, K., Malham, S. J. A. & Wiese, A., 2014, In : Stochastics: An International Journal of Probability and Stochastic Processes. 86, 4, p. 632-642 11 p.Research output: Contribution to journal › Article

Shuffle

Lévy Process

Algebra

Semimartingale

Strong Approximation