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
SubmittedWith 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 matricesBrazilian Mathematical Colloquium Rio de Janeiro, Brazil, July 2019
On the singularity of random symmetric matricesRandom Structures and Algorithms Zürich, Switzerland, July 2019
Partitioning the torus into isomorphic subgraphsPostgraduate Combinatorics Conference University of Oxford, UK, June 2019
Partitioning the torus into isomorphic subgraphsCanaDAM, Invited Minisymposium on Graph Decompositions Simon Fraser University, Vancouver, Canada, May 2019
On the singularity of random symmetric matrices2019 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