Hi! I'm currently a Postdoc at Leipzig University working in probability theory. Before that, I was a PhD student at the National University of Singapore. In my free time, I love to go for hikes, grow plants and decorate terrariums.
If you are interested in my research, I'd be very pleased if you reach out to me at:
luca.makowiec {at} uni-leipzig.de
Random (uniform) spanning trees in random environment
Percolation and random graphs
Random walks and mixing times
Repeat times and a two-weight UST model (joint with Umberto De Ambroggio) (online at https://arxiv.org/abs/2512.21977)
Local limits of random spanning trees in random environment (online at https://arxiv.org/abs/2410.16836).
Random spanning trees in random environment (joint with Michele Salvi and Rongfeng Sun) (online at https://arxiv.org/abs/2410.16830).
Diameter of Uniform Spanning Trees on Random Weighted Graphs (joint with Michele Salvi and Rongfeng Sun) (online at https://arxiv.org/abs/2311.01808).
See the publications tab for presentation slides.
RSTRE on 100k vertices with weights distributed as the reciprocal of U[0,1].
MST on 100k vertices.
A different type of trees. Fittonia and mint.