Nina Holden

Hi! I'm an Associate Professor at the Courant Institute of Mathematical Sciences at New York University. I finished my PhD in mathematics at the Massachusetts Institute of Technology in 2018 under the supervision of Scott Sheffield, and after that I was at ETH Zurich as a Junior Fellow and postdoc in the group of Wendelin Werner.

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

My e-mail address is firstname.lastname@nyu.edu and here's my CV.

Employment

Since 2022: Associate Professor at the Courant Institute of Mathematical Sciences, New York University

2021-2022: Postdoc in the Department of Mathematics at ETH Zurich, Switzerland

2018-2020: Junior Fellow at the Institute for Theoretical Studies, ETH Zurich, Switzerland

Education

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

2009-2010: Master in Mathematics, University of Oslo, Norway

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

Conformal welding of quantum disks and multiple SLE: the non-simple case
With Morris Ang, Xin Sun and Pu Yu. arxiv2310.20583.

Regularity of the Schramm-Loewner evolution: Up-to-constant variation and modulus of continuity
With Yizheng Yuan. arxiv2211.15609.

The SLE loop via conformal welding of quantum disks
With Morris Ang and Xin Sun. Electronic Journal of Probability (2023). arxiv2205.05074.

Liouville quantum gravity weighted by conformal loop ensemble nesting statistics
With Matthis Lehmkuehler. Probability and Mathematical Physics (to appear). arxiv2204.09905.

Baxter permuton and Liouville quantum gravity
With Jacopo Borga, Xin Sun, and Pu Yu. Probability Theory and Related Fields (2023). arxiv2203.12176.

Mating of trees for critical Liouville quantum gravity
With Juhan Aru, Ellen Powell, and Xin Sun. Journal of the London Mathematical Society (2023). arxiv2109.00275.

Integrability of SLE via conformal welding of random surfaces
With Morris Ang and Xin Sun. Communications in Pure and Applied Mathematics (2024). arxiv2104.09477.

Conformal welding of quantum disks
With Morris Ang and Xin Sun. Electronic Journal of Probability (2023). 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. Panoramas et Syntheses (2023). arxiv1910.04713.

Convergence of uniform triangulations under the Cardy embedding
With Xin Sun. Acta Mathematica (2023). 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, Erratum.

Percolation on triangulations: a bijective path to Liouville quantum gravity
With Olivier Bernardi and Xin Sun. Memoirs of the American Mathematical Society (2023). 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. Annales de l'Institut Henri Poincare (2022). Journal, arxiv1804.07286.

Minkowski content of Brownian cut points
With Xinyi Li, Gregory Lawler, and Xin Sun. Annales de l'Institut Henri Poincare (2022). Journal, 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, Jacopo Borga, Christian Borgs, Jennifer T. Chayes, Henry Cohn, Giulia Fanti, Christophe Garban, Ewain Gwynne, Lisa Hartung, Gregory Lawler, Matthis Lehmkuehler, 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, Pu Yu, Yizheng Yuan, Alex Zhai