Nina Holden

nh

Hi! I'm a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich. My mentor is Wendelin Werner. I finished my PhD in mathematics at the Massachusetts Institute of Technology in 2018 under the supervision of Scott Sheffield.

I do research in probability theory, including topics such as Liouville quantum gravity, Schramm-Loewner evolutions, random planar maps, and statistical physics.

I organize an online seminar on Random Geometry and Statistical Physics together with Ewain Gwynne and Xin Sun.

My e-mail address is nina.holden@eth-its.ethz.ch, and here's my CV.


Employment

Since 2018, I've been a Junior Fellow at the Institute for Theoretical Studies, ETH Zurich, Switzerland

From 2021, I will be an Associate Professor at the Courant Institute of Mathematical Sciences, New York University


Education

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

2009-2010: Master in 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

Scaling limit of large triangulations of polygons
With Marie Albenque and Xin Sun. arxiv1910.04946.

Mating of trees for random planar maps and Liouville quantum gravity: a survey
With Ewain Gwynne and Xin Sun. To appear in Panoramas et Syntheses arxiv1910.04713 .

Convergence of uniform triangulations under the Cardy embedding
With Xin Sun. arxiv1905.13207.

Liouville dynamical percolation
With Christophe Garban, Avelio Sepulveda, 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. Communications in Mathematical Physics (2020). Journal, arxiv1903.09111.

Communication cost of consensus for nodes with limited memory
With Guilia Fanti, Yuval Peres, and Gireeja Ranade. Proceedings of the National Academy of Sciences of the United States of America (2020). Journal, arxiv1901.01665.

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

Lower bounds for trace reconstruction
With Russell Lyons. Annals of Applied Probability (2020). Journal, 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 Sepulveda, 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. Probability Theory and Related Fields (2020). Journal, 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. Probability Theory and Related Fields (2020). Journal, 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. To appear in Annals of Probability. 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 Poincare (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. Probability Theory and Related Fields (2020). Journal, 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. Annals of Probability (2020). Journal, arxiv1512.01223.

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

Coauthors: Marie Albenque, 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 Sepulveda, 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