My name is Piet Lammers, I am a PhD student in the probability group of the University of Cambridge. I am also a Foundation Scholar of Queens’ College.

I am broadly interested in probability theory; my current research focus is on random discrete functions. I have uploaded my first preprint to the arXiv quite recently. This paper discusses the diffusive scaling limit of a random walk on a specific collection of discrete functions. My PhD advisor is James Norris.

This website intends to give an overview of my activities in Cambridge and I hope to regularly update it with new ideas, educational material and publications.

*21 August 2017*

**The dimer model part III: The square lattice on a rectangle**

To count the number of tilings of a large graph it is essential to calculate the
determinant of a large matrix.
This is a hard task in general, but in certain cases some reasoning
greatly simplifies the calculations.
In this post we show how to do this for... *Click to read on.*

*9 August 2017*

**The dimer model part II: Kasteleyn theory**

A first objective is to count the number of dimer covers of a given finite graph.
The set of dimer covers is a complex combinatorial object; there will usually be too many dimer covers
to simply calculate them all and count.
The Kasteleyn theory simplifies this counting problem.
The main ingredient of the theory is... *Click to read on.*

*8 August 2017*

**The dimer model part I: A first introduction**

*Lent 2017*

**1A Probability**

This course was lectured by James Norris and I supervised this course at Queens’ and Jesus. This is the course web page.

*Michaelmas 2016*

**1B Markov chains**

This course was lectured by Geoffrey Grimmett and I supervised this course at Queens’. This is the course web page.

*Michaelmas 2016*

**1B Optimisation**

This course was lectured by Felix Fischer and I supervised this course at Queens’. This is the course web page.

*2016 — 2020*

**University of Cambridge**

PhD in Mathematics

*2015 — 2016*

**University of Cambridge**

MASt in Mathematics, *disctinction*

*2012 — 2015*

**University of Utrecht**

BSc in Liberal Arts and Sciences, *summa cum laude*

*Visiting address*

Room F0.01

Centre for Mathematical Sciences

Wilberforce Road

Cambridge CB3 0WA

United Kingdom

*Mail address*

Queens’ College

Cambridge CB3 9ET

United Kingdom

*Email address*

p.g.lammers@maths.cam.ac.uk