Nina Holden

Hi! I'm a Junior Fellow at ETH-ITS in Zürich. My mentor is Wendelin Werner. I finished my PhD at MIT in 2018 under the supervision of Scott Sheffield.

I do research in probability theory, and these are some topics I've been working on recently: Schramm-Loewner evolutions, Liouville quantum gravity, random planar maps, statistical mechanics, trace reconstruction, allocations and matchings, graph limits.

My e-mail address is, and here's my CV.


2018-2020: Junior Fellow, Institute for Theoretical Studies, ETH Zürich, Switzerland

From fall 2020, I will be Associate Professor at the Courant Institute of Mathematical Sciences, New York University.


2013-2018: Ph.D. in Mathematics, Massachusetts Institute of Technology, United States (thesis)

2009-2010: Master in Applied Mathematics, University of Oslo, Norway (thesis)

2006-2007: Visiting Student in Mathematics, Oxford University, United Kingdom

2005-2008: Bachelor in Mathematics and Computational Science, University of Oslo, Norway

Papers and preprints

Liouville dynamical percolation
With Christophe Garban, Avelio Sepúlveda, and Xin Sun. arxiv1905.06940.

Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense
With Ewain Gwynne and Xin Sun. arxiv1905.06757.

Liouville quantum gravity with central charge in (1,25): a probabilistic approach
With Ewain Gwynne, Joshua Pfeffer, and Guillaume Remy. arxiv1903.09111.

Communication cost of consensus for nodes with limited memory
With Guilia Fanti, Yuval Peres, and Gireeja Ranade. arxiv1901.01665.

Conformal welding for critical Liouville quantum gravity
With Ellen Powell. arxiv1812.11808.

Lower bounds for trace reconstruction
With Russell Lyons. arxiv1808.02336.

Percolation on triangulations: a bijective path to Liouville quantum gravity
With Olivier Bernardi and Xin Sun. arxiv1807.01684.

Negative moments for Gaussian multiplicative chaos on fractal sets
With Christophe Garban, Avelio Sepúlveda, and Xin Sun. Electronic Communications in Probability (2018). Journal, arxiv1805.00864.

Natural parametrization of percolation interface and pivotal points
With Xinyi Li and Xin Sun. arxiv1804.07286.

Minkowski content of Brownian cut points
With Xinyi Li, Gregory Lawler, and Xin Sun. arxiv1803.10613.

Scaling limits of the Schelling model
With Scott Sheffield. To appear in Probability Theory and Related Fields. arxiv1802.03346.

Subpolynomial trace reconstruction for random strings and arbitrary deletion probability
With Robin Pemantle and Yuval Peres. Conference on Learning Theory (2018). Conference, arxiv1801.04783.

Gravitational allocation on the sphere
With Yuval Peres and Alex Zhai. Proceedings of the National Academy of Sciences of the United States of America (2018). Journal.

A mating-of-trees approach to graph distances in random planar maps
With Ewain Gwynne and Xin Sun. arxiv1711.00723.

Trace reconstruction with varying deletion probabilities
With Lisa Hartung and Yuval Peres. Analytic Algorithms and Combinatorics (2018). Conference, arxiv1708.02216.

Gravitational allocation for uniform points on the sphere
With Yuval Peres and Alex Zhai. arxiv1704.08238.

SLE as a mating of trees in Euclidean geometry
With Xin Sun. Communications in Mathematical Physics (2018). Journal, arxiv1610.05272.

How round are the complementary components of planar Brownian motion?
With Serban Nacu, Yuval Peres, and Thomas S. Salisbury. Annales de l'Institut Henri Poincaré (2019). Journal, arxiv1609.06627.

A distance exponent for Liouville quantum gravity
With Ewain Gwynne and Xin Sun. Probability Theory and Related Fields (2018). Journal, arxiv1606.01214.

Dimension transformation formula for conformal maps into the complement of an SLE curve
With Ewain Gwynne and Jason Miller. arxiv1603.05161.

Joint scaling limit of a bipolar-oriented triangulation and its dual in the peanosphere sense
With Ewain Gwynne and Xin Sun. arxiv1603.01194.

Sparse exchangeable graphs and their limits via graphon processes
With Christian Borgs, Jennifer T. Chayes, and Henry Cohn. Journal of Machine Learning Research (2018). Journal, arxiv1601.07134.

An almost sure KPZ relation for SLE and Brownian motion
With Ewain Gwynne and Jason Miller. arxiv1512.01223.

Brownian motion correlation in the peanosphere for kappa>8
With Ewain Gwynne, Jason Miller, and Xin Sun. Annales de l'Institut Henri Poincaré (2017). Journal, arxiv1510.04687.

Coauthors: Olivier Bernardi, Christian Borgs, Jennifer T. Chayes, Henry Cohn, Giulia Fanti, Christophe Garban, Ewain Gwynne, Lisa Hartung, Gregory Lawler, Xinyi Li, Russell Lyons, Jason Miller, Serban Nacu, Robin Pemantle, Yuval Peres, Joshua Pfeffer, Ellen Powell, Gireeja Ranade, Guillaume Remy, Thomas S. Salisbury, Avelio Sepúlveda, Scott Sheffield, Xin Sun, Alex Zhai

Employment (internships, non-academic, part-time)

2018: Microsoft Research, Summer Intern, Redmond, United States

2017: Microsoft Research, Summer Intern, Redmond, United States

2016-2017: Massachusetts Institute of Technology, Teaching Assistant, Cambridge, United States (part-time)

2015: Microsoft Research, Summer Intern, Cambridge, United States

2010-2013: Statkraft, Energy Market Analyst and Trainee, Norway, Germany, Belgium and Brazil

2007-2010: University of Oslo, Teaching Assistant, Oslo, Norway (part-time)

2009: Sintef, Summer Intern, Oslo, Norway

2008: CERN, Technical Student, Geneva, Switzerland

2007: Simula Research Laboratory, Summer Intern, Oslo, Norway

2006: Norwegian Defense Research Establishment, Summer Intern, Horten, Norway