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
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).
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.
SEO: luca makowiec, mathematics, homepage, probability, NUS, Singapore. Some fancy words: machine learning, big data, statistics, optimization, Markov Chains, AI - artificial intelligence, neural network. Open to network.