I'll talk about a few different simple-looking problems in percolation and random walks that all ask for the same innocuous thing-- monotone behaviour. I'll also say a few words about what (little) I can do. I will assume no background knowledge in the area.
I am broadly interested in combinatorics and related areas in probability theory and statistical physics. Some other things, including a picture of me, may be found here.
Before moving to Rutgers, I was a Research Fellow at St John's College and a member of the DPMMS. Earlier, I received my PhD in 2015 from the University of Cambridge under the supervision of Béla Bollobás. Here is a complete CV.