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.

Teaching

Semester 1

LM Advanced Topics in Combinatorics

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 quasirandomness. More recently I also have studied related topics in extremal set theory.

Publications

Recent publications

Article

Lo, A, Piga, S & Sanhueza Matamala, N 2024, 'Cycle decompositions in k-uniform hypergraphs', Journal of Combinatorial Theory. Series B, vol. 167, pp. 55-103. https://doi.org/10.1016/j.jctb.2024.02.003

Araujo, I, Balogh, J, Krueger, R, Piga, S & Treglown, A 2024, 'On oriented cycles in randomly perturbed digraphs', Combinatorics, Probability and Computing, vol. 33, no. 2, pp. 157-178. https://doi.org/10.1017/S0963548323000391

Araujo, I, Piga, S, Treglown, A & Xiang, Z 2024, 'Tiling edge-ordered graphs with monotone paths and other structures', SIAM Journal on Discrete Mathematics.

Piga, S, Sales, M & Schülke, B 2023, 'The codegree Turán density of tight cycles minus one edge', Combinatorics, Probability and Computing, pp. 1-4. https://doi.org/10.1017/S0963548323000196

Freschi, A, Piga, S, Sharifzadeh, M & Treglown, A 2023, 'The induced saturation problem for posets', Combinatorial Theory, vol. 3, no. 3, 9. https://doi.org/10.5070/C63362792

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

Conference contribution

Freschi, A, Piga, S, Sharifzadeh, M & Treglown, A 2023, A general bound for the induced poset saturation problem. in EUROCOMB’23., 63, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-6, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23. https://doi.org/10.5817/CZ.MUNI.EUROCOMB23-063

Araujo, I, Balogh, J, Krueger, RA, Piga, S & Treglown, A 2023, Cycles of every length and orientation in randomly perturbed digraphs. in EUROCOMB’23., 9, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-8, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23. https://doi.org/10.5817/CZ.MUNI.EUROCOMB23-009

Araujo, I, Piga, S, Treglown, A & Xiang, Z 2023, Tiling problems in edge-ordered graphs. in EUROCOMB’23., 10, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-8, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23. https://doi.org/10.5817/CZ.MUNI.EUROCOMB23-010

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

View all publications in research portal