Natasha Morrison

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Welcome, bem vindo, bienvenue...

Let me introduce myself. My name is Natasha Morrison and I am a Research Fellow in Mathematics at Sidney Sussex College in Cambridge. I was also a Postdoctoral Research Fellow (under the supervision of Rob Morris) at IMPA from September 2018 - August 2019. I obtained my PhD from the University of Oxford under the supervision of Alex Scott. Before coming to Oxford, I did Part III of the Mathematical Tripos at Cambridge (also at Sidney!) and I completed my undergraduate studies at University College, Durham.

I have a wide range of research interests, mainly in the areas of extremal and probabilistic combinatorics. In particular, I am interested in extremal graph theory, random graphs and processes, graph colouring, bootstrap percolation and related cellular automata, and Ramsey Theory. Having said that, I am always interested in hearing about new problems to work on and meeting new people to work with (my email address can be found here). My research papers can be found here.

If this section has failed to tell you sufficiently about me, try here for some more non-mathematical information.



RESEARCH PAPERS


A link to my papers on arXiv can be found here.

The typical structure of sets with small sumset
Submitted
With Marcelo Campos, Mauricio Collares, Rob Morris and Victor Souza

On the singularity of random symmetric matrices
Submitted
With Marcelo Campos, Letícia Mattos and Rob Morris

Hypergraph Lagrangians I: The Frankl-Füredi conjecture is false
Submitted
With Vytautas Gruslys and Shoham Letzter

Hypergraph Lagrangians II: When colex is best
Submitted
With Vytautas Gruslys and Shoham Letzter

Bounding the number of cycles in a graph in terms of its degree sequence
Submitted
With Zdeněk Dvořák, Jonathan Noel, Sergey Norin and Luke Postle

The Kőnig graph process
Submitted
With Nina Kamcev, Michael Krivelevich and Benny Sudakov

Maximising the number of cycles in graphs with forbidden subgraphs
Submitted
With Alexander Roberts and Alex Scott

A sharp threshold for bootstrap percolation in a random hypergraph
Submitted
With Jonathan Noel

Partitioning the vertices of a torus into isomorphic subgraphs
Submitted
With Marthe Bonamy and Alex Scott

The size‐Ramsey number of powers of paths
To appear in Journal of Graph Theory
With Dennis Clemens, Matthew Jenssen, Yoshiharu Kohayakawa,
Guilherme Oliveira Mota, Damian Reding and Barnaby Roberts

Extremal bounds for bootstrap percolation in the hypercube
Journal of Combinatorial Theory, Series A 126 (2018), 61-84
With Jonathan Noel

Maximising the number of induced cycles in a graph
Journal of Combinatorial Theory, Series B 126 (2017), 24-61
With Alex Scott

Saturation in the hypercube and bootstrap percolation
Combinatorics, Probability and Computing 26 (2017), 78-98
With Jonathan Noel and Alex Scott

Bounding the number of hyperedges in friendship r-hypergraphs
European Journal of Combinatorics 51 (2016), 125-134
With Karen Gunderson and Jason Semeraro

On saturated k-Sperner systems
Electronic Journal of Combinatorics 21 (2014), Paper #P3.22
With Jonathan Noel and Alex Scott



TALKS


UPCOMING


Combinatorics Seminar
UNSW Sydney, 14 November 2019




CONFERENCE TALKS


On the singularity of random symmetric matrices
Brazilian Mathematical Colloquium
Rio de Janeiro, Brazil, July 2019

On the singularity of random symmetric matrices
Random Structures and Algorithms
Zürich, Switzerland, July 2019

Partitioning the torus into isomorphic subgraphs
Postgraduate Combinatorics Conference
University of Oxford, UK, June 2019

Partitioning the torus into isomorphic subgraphs
CanaDAM, Invited Minisymposium on Graph Decompositions
Simon Fraser University, Vancouver, Canada, May 2019

On the singularity of random symmetric matrices
2019 Colloquia in Combinatorics
Queen Mary University of London, UK, May 2019

Maximising the number of induced cycles in a graph
Combinatorics: Extremal, Probabilistic and Additive (ICM Satellite Meeting)
University of São Paulo, Brazil, July 2018

Maximising the number of induced cycles in a graph
SIAM Conference on Discrete Mathematics
University of Colorado, Denver, USA, June 2018

Bootstrap Percolation in the Hypercube
6th Polish Combinatorial Conference
Będlewo, Poland, September 2016

Bootstrap Percolation in the Hypercube
British Mathematical Colloquium
University of Bristol, UK, March 2016

Saturation in the Hypercube
It All Adds Up Conference
University of Oxford, UK, April 2015

Saturation in the Hypercube
CIRM workshop on Graph Decompositions
CIRM, France, January 2015

On Saturated k-Sperner Systems
Sum(m)it 240 Conference
Budapest, Hungary, July 2014




SEMINARS


Pure Maths Colloquium, University of Sheffield, October 2019

Combinatorics Seminar, University of Warwick, October 2019

Pure Maths Seminar, Royal Holloway University of London, October 2019

Seminário de Combinatória, UFRJ, Brazil, April 2019

Seminário de Probabilidade e Combinatória, IMPA, Brazil, February 2019

Colóquio Interinstitucional Modelos Estocásticos e Aplicações, PUC, Brazil, November 2018

DIMAP Seminar, University of Warwick, January 2018

Combinatorics Seminar, Queen Mary University of London, January 2018

Combinatorics Seminar, University of Cambridge, December 2017

AG Diskrete Mathematik, Karlsruhe Institute of Technology, Germany, November 2017

Mittagseminar, ETH Zürich, Switzerland, November 2017

Combinatorics Seminar, University of Oxford, May 2017

Seminário de Probabilidade e Combinatória, IMPA, Brazil, April 2017

Combinatorics Seminar, University of Bristol, January 2017

Combinatorics Seminar, London School of Economics, November 2016

GT Graphes et Optimisation Seminar, LaBRI, Bordeaux, September 2016

Combinatorics Seminar, University of Cambridge, October 2015

Combinatorics Seminar, University of Warwick, October 2015

Combinatorics Seminar, Queen Mary University of London, October 2015

DMO Seminar, McGill University, Montreal, Canada, April 2015

Combinatorics Seminar, University of Birmingham, February 2015

Geometry and Topology Seminar, University of Durham, October 2014

Combinatorics Seminar, University of Bristol, October 2014



OTHER


Along with Jonathan Noel, I organised the minisymposium Bootstrap Percolation at CanaDAM 2019.


I was also on the program committee for LAGOS 2019.



CONTACT


Email: morrison at maths dot cam dot ac dot uk

Postcards and deliveries of delicious cheese always welcome at...

Address: Sidney Sussex College, Sidney St, Cambridge CB2 3HU, UK

(I'm sure the porters would thank you if you check I am in Cambridge that day first :)

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