Projects per year
Personal profile
Research interests
Alexander Cox is interested in questions arising in Probability and their applications in Mathematical Finance. Of particular interest are questions which relate to robustness and model-independence when considering the pricing and hedging of financial derivative contracts. These questions often rely naturally on the classical tools of applied probability, including optimal control, optimal stopping and optimal Skorokhod embedding, and the novel field of optimal martingale transport, and he is also interested in the theory underlying these topics. A key tool is often the close study of Brownian motion, and related Markov processes. As well as applications to robust hedging in finance, he has worked on understanding a mathematical theory of financial bubbles, with reference to option pricing, and he has made important contributions in this field.
More information can be found on his personal webpage.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Collaborations and top research areas from the last five years
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Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MATHRAD):
Pryer, T. (PI), Cox, A. (CoI), Kyprianou, A. (CoI) & Hattam, L. (Researcher)
Engineering and Physical Sciences Research Council
1/01/23 → 30/11/27
Project: Research council
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Stochastic Analysis of the Neutron Transport Equation and Applications to Nuclear Safety
Kyprianou, A. (PI), Cox, A. (CoI) & Harris, S. (CoI)
Engineering and Physical Sciences Research Council
16/05/17 → 31/12/21
Project: Research council
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Robust Optimal Hedging with Model-Independent constraints
Cox, A. (PI)
2/07/16 → 2/07/18
Project: Research council
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A Bayesian Inverse Approach to Proton Therapy Dose Delivery Verification
Cox, A. M. G., Hattam, L., Kyprianou, A. E. & Pryer, T., 14 Aug 2024, (Acceptance date) arXiv.Research output: Working paper / Preprint › Preprint
File26 Downloads (Pure) -
Controlled measure-valued martingales: a viscosity solution approach
Cox, A. M. G., Källblad, S., Larsson, M. & Svaluto-Ferro, S., 30 Apr 2024, In: Annals of Applied Probability. 34, 2, p. 1987-2035 49 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (SciVal) -
Delayed switching identities and multi-marginal solutions to the Skorokhod embedding problem
Cox, A. M. G. & Grass, A. M., 3 Jan 2024, (Submitted) arXiv.Research output: Working paper / Preprint › Preprint
File53 Downloads (Pure) -
Binary branching processes with Moran type interactions
Cox, A. M. G., Horton, E. & Villemonais, D., 24 Nov 2023, (Acceptance date) In: Annales de l'Institut Henri Poincaré: Probabilités et Statistiques.Research output: Contribution to journal › Article › peer-review
Open AccessFile51 Downloads (Pure) -
Optimal control of martingales in a radially symmetric environment
Cox, A. M. G. & Robinson, B. A., 26 Jan 2023, (Acceptance date).Research output: Working paper / Preprint › Preprint
File8 Downloads (Pure)
Thesis
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Skorokhod Embeddings: Non-Centred Target Distributions, Diffusions and Minimality
Cox, A. (Author)Hobson, D. (Supervisor), 1 Jan 2004Student thesis: Doctoral Thesis › PhD
File
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Advances in Stochastic Analysis for Handling Risks in Finance andInsurance
Cox, A. (Speaker)
13 Sept 2023Activity: Academic conferences and events (excluding conference publications) › Conference presentation / attendance
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Answers/MaThRad Workshop
Cox, A. (Speaker)
18 May 2023 → 19 May 2023Activity: Academic conferences and events (excluding conference publications) › Major conference organising role
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AMS-EMS-SMF
Cox, A. (Speaker)
21 Jul 2022Activity: Academic conferences and events (excluding conference publications) › Conference presentation / attendance
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14th International Conference on Monte Carlo Methods and Applica-tions
Cox, A. (Speaker)
29 Jun 2023Activity: Academic conferences and events (excluding conference publications) › Conference presentation / attendance
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Partnership for Research in Marine Renewable Energy (PRIMaRE-2023)
Cox, A. (Speaker)
27 Jun 2023Activity: Academic conferences and events (excluding conference publications) › Conference presentation / attendance