Dr. Natasha Morrison awarded the 2021 Kirkman Medal of the ICA
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March 18, 2022 Secretary of the ICA
Morrison awarded the 2021 Kirkman Medal of the ICA
Kirkman Medals recognize excellent research by Fellows or Associate Fellows of the ICA early in their research career, as evidenced by an excellent body of published research.
Natasha Morrison has made significant contributions to a wide variety of topics in combinatorics including results about random matrices, hypergraph Lagrangians, bootstrap percolation, sum-sets and extremal graph theory. This has included settling several major conjectures and an impressive list of publications in leading combinatorics journals.
With Campos, Mattos and Morris, she made a strong contribution to a sequence of results that began in the 1990s by bounding the probability that a random symmetric matrix is singular. With Gruslys and Letzter, she resolved a 1989 conjecture of Frankl and Furedi concerning when the Lagrangian of an r-uniform hypergraph with m edges is maximised. The conjecture is true when r = 3 and false when r ≥ 4. With Noel she proved a 2010 conjecture of Balogh and Bollobas about the behaviour of a particular discrete-time process in the hypercube. With Campos, Collares, Morris and Souza, she achieved a strong characterisation of the structure of almost all sets A for which the set A + A is “small”, improving results of Campos; Mazur; and Green and Morris, dating from 2005. With Scott, she resolved two problems raised by Chvatal and Tuza in the 1980s about the maximum possible number of induced cycles in a graph with n vertices. They also determined the precise structure of the extremal graphs. These achievements have seen her regularly invited to give seminars and speak at major international conferences.
Dr Morrison earned her MMath from University of Durham, MAST from University of Cambridge, and D.Phil from University of Oxford. She was a research Fellow at Sidney Sussex College, University of Cambridge and a Postdoctoral Fellow at Instituto Nacional de Matemática Pura e Aplicada, Brazil. She is currently appointed at the University of Victoria as an Assistant Professor in the Department of Mathematics & Statistics.
The Institute of Combinatorics and its Applications is an international scholarly society that was founded in 1990 by Ralph Stanton; the ICA was established for the purpose of promoting the development of combinatorics and of encouraging publications and conferences in combinatorics and its applications.