Slides and Lecture Notes

2018

The algorithmic hardness threshold for the continuous random energy model Slides for a talk I gave at the Workshop on branching-type structures, held at the University of Zurich from September 3-5, 2018.

Assumptionless bounds for random trees. Slides for a talk I gave at Analysis of Algorithms 2018. I also delivered a shorter talk of the same title, corresponding roughly to the second half of these slides, at the 12th International Vilnius Conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics (this meeting).

Critical random graphs: a collaborative history. Slides for a talk Christina Goldschmidt and I jointly delivered at the XXIe Colloque de l'Institut des sciences mathématiques. Scaling limits of critical random graphs, interspersed with personal recollections about the history of our collaboration and friendship.

2017

Three branching anecdotes. Slides about the height and width of Galton-Watson trees and random trees with a fixed degree sequence, and about the minimum spanning tree of a random 3-regular graph. From a talk given at the CIRM in October, 2017.

The scaling limit of the minimum spanning tree, and critical random graphs. Slides covering part of an 11-hour mini-course given at the Fields Institute in June, 2017. The lectures were recorded; the videos are available here.

Voronoi cells in random maps. Slides from a talk at the Oberwolfach meeting on Stochastic Analysis in May 2017.

2016

Probabilistic aspects of minimum spanning trees. Slides from a talk at Duke University.

2015

Most trees are short and fat. Slides from the One-Day Meeting in Combinatorics, from the 2015 Analysis of Algorithms Conference and from the Journées de combinatoire de Bordeaux 2017.
Extreme statistics of random r-out digraphs. Slides.
Branching Brownian Motion with decay of mass. Slides.

2014

Random infinite squarings of rectangles. Two sets of notes, prepared for various lectures given between Jan-Nov 2013. Also, a zoomable image of a large random squaring of a rectangle.

2013

XI Simposio de Probabilidad y Processos Estocásticos. Notes: A tale of three coalescents (most of first three lectures). Slides for most of lectures 4 and 5.

2011

Random Structures and Dynamics Conference slides First lecture, second lecture, third lecture

2010

YEP VII Branching random walks and search trees