Applied Mathematician
Preprints
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[PDF] Operator deep smoothing for implied volatility (with L. Gonon, R. Wiedemann), June 2024​
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[PDF] Risk premium and rough volatility (with O. Bonesini, A. Muguruza), March 2024
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[PDF] Transportation-cost inequalities for non-linear Gaussian functionals (with I. Gasteratos), October 2023
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[PDF] XPDE for X in {BS, FBS, P}: a rough volatility context (with O. Bonesini), September 2023
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[PDF] Propagation of carbon tax in credit portfolio (G. Bouveret, J.-F. Chassagneux, S. Ibbou, L. Sopgoui), July 2023
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[PDF] Universal Approximation Theorem and error bounds for quantum neural networks and reservoirs (with L. Gonon), July 2023
- [PDF] Random neural networks for rough volatility (with Z. Zuric), May 2023
- [PDF] Rough volatility, path-dependent PDEs and weak rates of convergence (with O. Bonesini, A. Pannier), April 2023
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[PDF] A theoretical analysis of Guyon's toy volatility model (with O. Bonesini, C. Lacombe), Nov 2022
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[PDF] On the ergodic behaviour of affine Volterra processes (with A. Pannier, K. Spiliopoulos), April 2022
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[PDF] Portfolio optimisation with options (with J. Chan, T. Huckle, A. Muguruza), November 2021
- [PDF] Market regime classification with signatures (with P. Bilokon, C. McIndoe), June 202
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[PDF] Stacked Monte Carlo for option pricing (with E. Malone, M. Oumgari), March 2019
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[PDF] How many paths to simulate correlated Brownian motions? (with L. Jeannerod), Aug 2017
Publications
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[PDF] Unsupervised Random Quantum Networks for PDEs (with J. Dees, S. Laizet)
Quantum Information Processing, 2024 -
[PDF] Rough multifactor volatility for SPX and VIX options (with A. Muguruza, A. Pannier)
Advances in Applied Probability, 2024​​ -
[PDF] Natural Language Processing for Financial Regulation (with I. Achitouv, D. Gorduza)
Journal of Artificial Intelligence and Autonomous Intelligence, 2024 -
[PDF] Interest rate convexity in a Gaussian framework (with M. Oumgari)
Quantitative Finance, 2024 -
[PDF] Quantum Computing for Financial Mathematics (with O. Kondratyev, G. Lee, M. Oumgari)
SIAM News, 2024 -
[PDF] Functional central limit theorems for rough volatility (with B. Horvath, A. Muguruza, A. Sojmark)
Finance and Stochastics, 2024
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[PDF] Rough Heston (with S. Gerhold, M. Rosenbaum).
Contributed chapter in Rough Volatility, SIAM, 2023 -
[PDF] Rough volatility asymptotics (with C. Bayer, P.K. Friz, M. Fukasawa).
Contributed chapter in Rough Volatility, SIAM, 2023 -
[PDF] Functional quantization of rough volatility and applications to the VIX (with O. Bonesini, G. Callegaro)
Quantitative Finance, 2023 -
[PDF] Large and moderate deviations for importance sampling in the Heston model (with M. Geha, Z. Zuric)
Annals of Operations Research, 2023 -
[PDF] The Log Moment formula for implied volatility (with V. Raval)
Mathematical Finance, 2023 -
​[PDF] Deep curve-dependent PDEs for affine rough volatility (with M. Oumgari)
SIAM Journal on Financial Mathematics, 2023
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​[PDF] A Quantum Generative Adversarial Network for distributions (with A. Assouel, A. Kondratyev)
Quantum Machine Intelligence, 2022 -
[PDF] Large and moderate deviations for stochastic Volterra systems (with A. Pannier)
Stochastic Processes and Applications, 2022
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[PDF] A Quantum algorithm for linear PDEs arising in Finance (with F. Fontanella and M. Oumgari)
SIAM Journal on Financial Mathematics, 2021 -
[PDF] Perturbation analysis of sub/super hedging problems (with S. Badikov and M.H.A. Davis)
Mathematical Finance, 2021 -
[PDF] Dynamics of symmetric SSVI smiles and implied volatility bubbles (with M. El Amrani and C. Martini)
SIAM Journal on Financial Mathematics, 2021 -
[PDF] Note to pathwise large deviations for rough Bergomi (with S. Gerhold, M. Pakkanen, H. Stone, T. Wagenhofer)
Journal of Applied Probability, 2021
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[PDF] Anomalous diffusions in option prices: trade duration and volatility term structure (with L. Torricelli)
SIAM Journal on Financial Mathematics, 11}(4), 1137-1167, 2020 -
[PDF] Small-time moderate deviations for the randomised Heston model (with F. Shi)
Journal of Applied Probability, 57(1): 19-28, 2020 -
[PDF] Volatility options in rough volatility models (with B. Horvath and P. Tankov)
SIAM Journal on Financial Mathematics, 11(2): 437-469, 2020 -
[PDF] Pathwise moderate deviations for option pricing (with K. Spiliopoulos)
Mathematical Finance, 40(2): 426-463, 2020
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- [PDF] Asymptotic behaviour of randomised fractional volatility models (with B. Horvath and C. Lacombe)
Journal of Applied Probability, 56(2): 496-523, 2019 -
[PDF] The randomised Heston model (with F. Shi)
SIAM Journal on Financial Mathematics, 10(1), 89-129, 2019 -
[PDF] The implied volatility of Forward-Start options: ATM short-time, skew and curvature (with E. Alos and J.A. Leon)
Stochastics, 91(1): 37-51, 2019
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[PDF] Mass at zero in the uncorrelated SABR model (with A. Gulisashvili and B. Horvath)
Quantitative Finance, 18(10): 1753-1765, 2018 -
[PDF] Pathwise large deviations for the rough Bergomi model (with M.S. Pakkanen and H. Stone)
Journal of Applied Probability, 55(4): 1078-1092, 2018 -
[PDF] Asymptotic behaviour of the fractional Heston model (with H. Guennoun, P. Roome and F. Shi)
SIAM Journal on Financial Mathematics, 9(3), 1017-1045, 2018 -
[PDF] Optimal liquidation in a Level-I limit order book for large tick stocks (with H. Liu)
SIAM Journal on Financial Mathematics, 9(3), 875-906, 2018 -
[PDF] Black-Scholes in a CEV random environment (with P. Roome)
Mathematics and Financial Economics, 12(3), 445-474, 2018 -
[PDF] Implied volatility in strict local martingale models (with M. Keller-Ressel)
SIAM Journal on Financial Mathematics, 9(1): 171-189, 2018 -
[PDF] On VIX Futures in the rough Bergomi model (with C. Martini and A. Muguruza)
Quantitative Finance, 18(1): 45-61, 2018
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[PDF] Shapes of implied volatility with positive mass at zero (with S. De Marco and C. Hillairet)
SIAM Journal on Financial Mathematics, 8(1): 709-737, 2017 -
[PDF] No-arbitrage bounds for the forward smile given marginals (with S. Badikov, D. Liu and P. Roome)
Quantitative Finance, 17(8): 1243-1256, 2017
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[PDF] Explicit Euler scheme with strong rate of convergence for non-Lipschitz SDEs (with J.F. Chassagneux, I. Mihaylov)
SIAM Journal on Financial Mathematics, 7(1), 2016 -
[PDF] On the probability of hitting the boundary of a Brownian motion on the SABR plane (with A. Gulisashvili, B. Horvath)
Electronic Communications in Probability, 21(75): 1-13, 2016 -
[PDF] Large-maturity regimes of the Heston forward smile (with P. Roome)
Stochastic Processes and Applications, 126(4): 1087-1123, 2016 -
[PDF] Generalised arbitrage-free SVI volatility surfaces (with G. Guo, C. Martini and L. Neufcourt)
SIAM Journal on Financial Mathematics, 7(1), 619-641, 2016 -
[PDF] Two examples of non strictly convex large deviations (with S. De Marco and P. Roome)
Electronic Communications in Probability, 16(38): 1-12, 2016
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[PDF] From characteristic functions to implied volatility expansions (with M. Lorig)
Advances in Applied Probability, 47(3): 837-857, 2015 -
[PDF] Asymptotic arbitrage in the Heston model (with F. Haba)
International Journal of Theoretical and Applied Finance, 18(8), 2015 -
[PDF] Asymptotics of forward implied volatility (with P. Roome)
SIAM Journal on Financial Mathematics, 6(1): 307-351, 2015
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[PDF] Arbitrage-free SVI volatility surfaces (with J. Gatheral)
Quantitative Finance, 14(1): 59-71, 2014 -
[PDF] Large deviations for the extended Heston model: the large-time case (with A. Mijatović)
Asia-Pacific Financial Markets, 21(3): 263-280, 2014 -
[PDF] Marginal density expansions for diffusions and stochastic volatility, Part II (with J.D. Deuschel, P. Friz, S. Violante)
Communications on Pure and Applied Mathematics, 67(2): 321-350, 2014 - [PDF] Marginal density expansions for diffusions and stochastic volatility, Part I (with J.D. Deuschel, P. Friz, S. Violante)
Communications on Pure and Applied Mathematics, 67(1): 40-82, 2014
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- [PDF] The smile of certain Lévy-type models (with M. Lorig)
SIAM Journal on Financial Mathematics, 4(1): 804-830, 2013 - [PDF] The small-maturity Heston forward smile (with P. Roome)
SIAM Journal on Financial Mathematics, 4(1): 831-856, 2013 - [PDF] Large deviations and stochastic volatility with jumps (with M. Keller-Ressel and A. Mijatović)
Stochastics, 85(2): 321-345, 2013
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- [PDF] The small-time smile and term structure of implied volatility under the Heston model (with M. Forde and R. Lee)
SIAM Journal on Financial Mathematics, 3(1): 690-708, 2012
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- [PDF] A note on essential smoothness in the Heston model (with M. Forde and A. Mijatović)
Finance and Stochastics, 15 (4): 781-784, 2011 - [PDF] Small-time asymptotics for an uncorrelated local-stochastic volatility model (with M. Forde)
Applied Mathematical Finance, 18 (6): 517-535, 2011 - [PDF] Convergence of Heston to SVI (with J. Gatheral)
Quantitative Finance, 11 (8): 1129-1132, 2011 - [PDF] The large-maturity smile for the Heston model (with M. Forde)
Finance and Stochastics, 15 (4): 755-780, 2011
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- [PDF] Asymptotic formulae for implied volatility under the Heston model (with M. Forde and A. Mijatović)
Proceedings of the Royal Society A, 466 (2124): 3593-3620, 2010 - [PDF] Robust approximations for pricing Asian options and volatility swaps under stochastic volatility (with M. Forde)
Applied Mathematical Finance, 17 (3): 241-259, 2010 - [PDF] The uncertain volatility model (with C. Martini)
Encyclopedia of Quantitative Finance, 2010​
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- [PDF] Small-time asymptotics for implied volatility under the Heston model (with M. Forde)
International Journal of Theoretical and Applied Finance, 12 (6): 861-876, 2009