*Welcome, bem vindo, bienvenue...*

I am an Assistant Professor at the University of Victoria in Canada. Before this, I was a Research Fellow in Mathematics at Sidney Sussex College in Cambridge, UK. I was also a Postdoctoral Research Fellow (under the supervision of Rob Morris) at IMPA in Rio de Janeiro, Brazil. 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.

For some articles on my research, see here (University of Cambridge) or here (IMPA - em português).

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

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

On the singularity of random symmetric matrices *To appear in Duke Mathematical Journal*

With Marcelo Campos, Letícia Mattos and Rob Morris

Hypergraph Lagrangians I: The Frankl-Füredi conjecture is false*To appear in Advances in Mathematics *

With Vytautas Gruslys and Shoham Letzter

Hypergraph Lagrangians II: When colex is best *To appear in Israel Journal of Mathematics *

With Vytautas Gruslys and Shoham Letzter

The typical structure of sets with small sumset *Submitted*

With Marcelo Campos, Mauricio Collares, Rob Morris and Victor Souza

The Kőnig graph process *To appear in Proceedings of RS&A2019*

With Nina Kamcev, Michael Krivelevich and Benny Sudakov

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

Weak saturation numbers of complete bipartite graphs in the clique *Submitted*

With Gal Kronenberg and Taisa Martins

Maximising the number of cycles in graphs with forbidden subgraphs *To appear in Journal of Combinatorial Theory, Series B *

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 *To appear in Journal of Combinatorial Theory, Series A *

With Marthe Bonamy and Alex Scott

The size‐Ramsey number of powers of paths * Journal of Graph Theory 91 (2019), no. 3, 290–299 *

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

*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

Combinatorics Literature Seminar (online), University of Illinois, October 2020

Women in Combinatorics Virtual Colloquium, April 2020

GT Graphes et Optimisation (LaBRI online), April 2020

GT Combinatoire Énumérative et Algébrique (LaBRI online), April 2020

Combinatorics Seminar, University of Birmingham, January 2020

Combinatorics Seminar, UNSW, Australia, November 2019

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, 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