Dr Simón Piga PhD

Dr Simón Piga

School of Mathematics
Research Fellow

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Qualifications

  • PhD in Pure Mathematics, University of Hamburg, 2022.

Research

Research Themes

  • Extremal graph and hypergraph theory
  • Extremal set theory

Research Activity

My research focuses on problems in extremal combinatorics. I am particularly interested in extensions of extremal results in graph theory to hypergraphs of higher uniformities. In this context, I have studied extremal problems for hypergraphs under different notions of quasirandoness. More recently I also have studied related topics in extremal set theory.

Publications

Recent publications

Article

Piga, S & Sanhueza-Matamala, N 2022, 'Codegree conditions for cycle decompositions and Euler tours in 3-uniform hypergraphs', Procedia Computer Science, vol. 195, pp. 350-358. https://doi.org/10.1016/j.procs.2021.11.043

Araújo, P, Piga, S & Schacht, M 2022, 'Localized codegree conditions for tight Hamilton cycles in 3-uniform hypergraphs', SIAM Journal on Discrete Mathematics, vol. 36, no. 1, pp. 147-169. https://doi.org/10.1137/21m1408531

Gupta, P, Mogge, Y, Piga, S & Schülke, B 2022, 'Maximum size of r-cross t-intersecting families', Procedia Computer Science, vol. 195, pp. 453-458. https://doi.org/10.1016/j.procs.2021.11.055

Berger, S, Piga, S, Reiher, C, Rödl, V & Schacht, M 2022, 'Turán density of cliques of order five in 3-uniform hypergraphs with quasirandom links', Procedia Computer Science, vol. 195, pp. 412-418. https://doi.org/10.1016/j.procs.2021.11.050

Piga, S & Schülke, B 2021, 'On extremal problems concerning the traces of sets', Journal of Combinatorial Theory, Series A, vol. 182, 105447. https://doi.org/10.1016/j.jcta.2021.105447

Araújo, P, Piga, S & Schacht, M 2019, 'Localised codegree conditions for tight hamiltonian cycles in 3-uniform hypergraphs', Acta Mathematica Universitatis Comenianae, vol. 88, no. 3, pp. 389-394.

Conference contribution

Freschi, A, Piga, S, Sharifzadeh, M & Treglown, A 2023, A general bound for the induced poset saturation problem. in Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications. European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Araujo, I, Balogh, J, Krueger, RA, Piga, S & Treglown, A 2023, Cycles of every length and orientation in randomly perturbed digraphs. in Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications. European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Araujo, I, Piga, S, Treglown, A & Xiang, Z 2023, Tiling problems in edge-ordered graphs. in Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications. European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Piga, S & Schülke, B 2021, On extremal problems concerning the traces of sets. in J Nešetřil, G Perarnau, J Rué & O Serra (eds), Extended Abstracts EuroComb 2021: European Conference on Combinatorics, Graph Theory and Applications. 1 edn, Trends in Mathematics, vol. 14, Research Perspectives CRM Barcelona, Birkhauser, pp. 651-656. https://doi.org/10.1007/978-3-030-83823-2_104

Preprint

Pavez-Signé, M, Piga, S & Sanhueza-Matamala, N 2022 'Ramsey numbers with prescribed rate of growth'.

Freschi, A, Piga, S, Sharifzadeh, M & Treglown, A 2022 'The induced saturation problem for posets'.

Piga, S & Sanhueza-Matamala, N 2021 'Cycle decompositions in 3-uniform hypergraphs' arXiv, pp. 1-29. https://doi.org/10.48550/arXiv.2101.12205

Gupta, P, Mogge, Y, Piga, S & Schülke, B 2020 '$r$-cross $t$-intersecting families via necessary intersection points'.

Piga, S & Schülke, B 2020 'On extremal problems concerning the traces of sets'. <https://arxiv.org/pdf/2007.04261>

View all publications in research portal