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Faculty of Mathematics

 

My research interests lie in the intersection of complex analysis and probability. More precisely, I work on the Schramm-Loewner evolution, conformal loop ensembles, the Gaussian free field, Liouville quantum gravity and the couplings between them and my research is focused on geometric properties of these models. I also work on the deterministic Loewner equation.

I am a research associate, mentored by Jason Miller. I did my PhD at KTH, under the supervision of Fredrik Viklund.

Papers and preprints of some of my research projects can be found below:

A multifractal boundary spectrum for SLE$_\kappa(\rho)$ -- Probab. Theory Related Fields 178, 173-233(2020). Online version

Remarks on the regularity of quasislits (with Atul Shekhar and Fredrik Viklund) -- Ann. Acad. Sci. Fenn. Math. 46(1), 355-370(2021). Online version

Dimensions of two-valued sets via imaginary chaos (with Avelio Sepúlveda and Fredrik Viklund) -- to appear in Int. Math. Res. Not. Online versionArXiv version (not final version)

Regularity of the SLE4 uniformizing map and the SLE8 trace (with Konstantinos Kavvadias and Jason Miller) -- ArXiv version.

Volume measures on random fractals: self-intersecting SLE and conformal loop ensembles (in preparation).

Research Groups

Probability
Applied Probability
Mathematical Finance and Operational Research
Statistical Laboratory

Room

D2.08

Telephone

01223 766925