Research
My research has three connected strands. A full list of my papers is also on Google Scholar and ORCID.
Distributional approximation and Stein’s method. Gaussian and non-Gaussian limit theorems, often with explicit rates of convergence, including Gaussian approximation for region-stabilizing functionals of point processes with long-range interactions [5], [6], [7], [14], Dickman approximation for weighted sums [2], [8], [15], Poisson process convergence [3], [4] and strong embeddings via Stein’s method [1].
Superconcentration, chaos and noise sensitivity. Variance bounds beyond the Poincaré inequality for Poisson functionals and their sensitivity to small perturbations of the underlying point process: superconcentration and chaos [11], and noise sensitivity in continuum percolation [13].
Applications to nonparametric and causal inference. Multivariate Gaussian approximation for random forest predictions [12], and Gaussian and bootstrap approximation for matching-based estimators of average treatment effects [9].
Preprints
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[15]
Dickman approximation of randomly weighted sums via Stein’s method arXiv:2606.27875Slides (Oxford 2026)
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[14]
Gaussian approximation for extreme points in Laguerre tessellations arXiv:2510.21665Slides (Dubrovnik 2025)
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[13]
Spectra of Poisson functionals and applications to continuum percolation arXiv:2407.13502Slides (Oxford 2024)
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[12]
Multivariate Gaussian approximation for random forest via region-based stabilization arXiv:2403.09960
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[11]
Chaos and superconcentration for Poisson functionals with applications in stochastic geometry arXiv:2603.23053
Publications
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[10]
Perimeter length of the convex hull of Brownian motion in the hyperbolic plane Journal of Applied Probability (2026) arXiv:2502.15340Journal
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[9]
Gaussian and bootstrap approximation for matching-based average treatment effect estimators Annals of Statistics 54(4), 2164–2190 (2026) arXiv:2412.17181JournalSlides (Lugano 2026)
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[8]
Dickman approximation of weighted sums of independent random variables in the Kolmogorov distance Annals of Applied Probability 35(5), 3271–3309 (2025) arXiv:2211.10171JournalRelated talk (Oxford 2026)
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[7]
Central limit theorem for a birth–growth model with Poisson arrivals and random growth speed Advances in Applied Probability 56(3), 1004–1032 (2024) arXiv:2107.06792JournalRelated talk (Singapore 2022)Video
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[6]
Gaussian approximation for sums of region-stabilizing scores Electronic Journal of Probability 27, paper no. 111 (2022) arXiv:2101.05103JournalRelated talk (Singapore 2022)Video
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[5]
Gaussian approximation for rooted edges in a random minimal directed spanning tree Random Structures & Algorithms 61(3), 462–492 (2022) arXiv:2105.00320JournalRelated talk (Singapore 2022)Video
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[4]
Large degrees in scale-free inhomogeneous random graphs Annals of Applied Probability 32(1), 696–720 (2022) arXiv:1910.01627JournalSlides (Sheffield 2023)
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[3]
Convergence to scale-invariant Poisson processes and applications in Dickman approximation Electronic Journal of Probability 25, paper no. 79 (2020) arXiv:1911.06229JournalSlides (Sandbjerg 2019)
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[2]
Dickman approximation in simulation, summations and perpetuities Bernoulli 25(4A), 2758–2792 (2019) arXiv:1706.08192JournalSlides (Bern 2019)
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[1]
On strong embeddings by Stein’s method Electronic Journal of Probability 21, paper no. 15 (2016) arXiv:1505.03199JournalSlides (Los Angeles 2016)
Thesis
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[0]
Stein’s method and its applications in strong embeddings and Dickman approximations PhD thesis, University of Southern California (2018). Advisor: Larry Goldstein. ProQuest
Slides from selected talks
- Aug 2026Gaussian approximation for matching-based average treatment effect (ATE) estimators, European Meeting of Statisticians, Università della Svizzera italiana, Lugano
- Jul 2026Dickman approximation of randomly weighted sums via Stein’s method, Second Workshop on Stein’s Method and Networks, University of Oxford
- Oct 2025Gaussian approximation in Delaunay tessellations, Workshop on Random Geometry, Graphs and Extremes, IUC Dubrovnik
- Jun 2024Spectra of Poisson functionals and applications in continuum percolation, Workshop on Stein’s Method and Networks, University of Oxford
- Feb 2023Large degrees in scale-free inhomogeneous random graphs, Sheffield, UK
- Jun 2022Gaussian approximation for region-stabilizing functionals and its applications, Stein’s Method: The Golden Anniversary, National University of Singapore Video
- Jun 2019Scale-invariant point processes and Dickman convergence, Sandbjerg, Denmark
- Feb 2019Dickman approximation using Stein’s method, Bern, Switzerland
- Apr 2016KMT embedding, Los Angeles, USA