Dr Simón Piga PhD

Dr Simón Piga

School of Mathematics
Research Fellow

Contact details

Email
s.piga@bham.ac.uk
View my research portal
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Personal website

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

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