Hi! I'm a postdoc in the Mathematics Department at ETH Zurich, where 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.

Since spring 2021, I have been a postdoc in the Department of Mathematics at ETH Zurich, Switzerland

From fall 2018 to fall 2020, I was a Junior Fellow at the Institute for Theoretical Studies, ETH Zurich, Switzerland

I have accepted a position as Associate Professor at the Courant Institute of Mathematical Sciences, New York University, and I am planning to start in fall 2022.

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

**Mating of trees for critical Liouville quantum gravity
**

With Juhan Aru, Ellen Powell, and Xin Sun.
arxiv2109.00275.

**Integrability of SLE via conformal welding of random surfaces
**

With Morris Ang and Xin Sun.
arxiv2104.09477.

**Conformal welding of quantum disks**

With Morris Ang and Xin Sun.
arxiv2009.08389.

**Scaling limit of triangulations of polygons**

With Marie Albenque and Xin Sun.
*Electronic Journal of Probability* (2020).
Journal.
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.
To appear in *Acta Mathematica*.
arxiv1905.13207.

**Liouville dynamical percolation**

With Christophe Garban, Avelio Sepulveda, and Xin Sun.
*Probability theory and related fields* (2021).
arxiv1905.06940.

**Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense **

With Ewain Gwynne and Xin Sun.
*Electronic Journal of Probability* (2021).
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.
*Annales de l'Institut Henri Poincare* (2021).
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.
To appear in *Memoirs of the American Mathematical Society*.
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.
To appear in *Annales de l'Institut Henri Poincare*.
arxiv1804.07286.

**Minkowski content of Brownian cut points**

With Xinyi Li, Gregory Lawler, and Xin Sun.
To appear in *Annales de l'Institut Henri Poincare*.
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.
*Annals of Probability* (2021).
Journal,
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: Morris Ang, Marie Albenque, Juhan Aru, 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

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