Dr. Jonathan Noel

Biography

Jonathan Noel is an Associate Professor in the Department of Mathematics and Statistics at the University of Victoria. He holds a DPhil (PhD) from the University of Oxford. His research primarily focuses on extremal combinatorics, particularly the interaction of frequencies and local patterns within discrete structures. He addresses significant problems in the field, such as understanding the number of triangles in a graph with 25 vertices and 200 edges or finding long monotone sequences in a real number sequence. His work in extremal combinatorics is closely linked to the development of analytic limit theory for combinatorial objects, which has enhanced the understanding of key concepts such as the Szemerédi Regularity Lemma and quasirandomness. He has a broad interest in various topics, including graph theory, theoretical computer science, and probability theory. Notable areas of his past research include graph coloring, bootstrap percolation, and computational complexity related to graph homomorphisms.

Research Interests