Simón Piga

About me

I am a postdoctoral researcher now working at University of Hamburg. Before that I was working with Andrew Treglown at University of Birmingham. I did my Ph.D. in Hamburg under the supervision of Mathias Schacht. Previously, back in Chile, I wrote my master's thesis at Universidad de Chile under the supervision of Maya Stein.

I'm interested in extremal and probabilistic combinatorics, especially in problems for hypergraphs and finite sets.

Publications

Simplicial Turán problems
with D. Conlon and B. Schülke.
Submitted
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Hypergraphs with arbitrarily small codegree Turán density
with B. Schülke.
Submitted
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Tiling edge-ordered graphs with monotone paths and other structures
with I. Araujo, A. Treglown, and Z. Xiang.
Accepted in SIAM Journal on Discrete Mathematics
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On oriented cycles in randomly perturbed digraphs
with I. Araujo, J. Balogh, R. Krueger, and A. Treglown.
Combinatorics, Probability and Computing, 33.2 (2024): 157-178.
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The codegree Turán density of tight cycles minus one edge
with M. Sales and B. Schülke.
Combinatorics, Probability and Computing. 32.6 (2023): 881-884.
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Cycle decompositions in k-uniform hypergraphs
with A.Lo and N. Sanhueza-Matamala.
Journal of Combinatorial Theory, Series B, 167 (2024): 55-103.i>
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Ramsey numbers with prescribed rate of growth
with M. Pavez-Signé and N. Sanhueza-Matamala.
Electronic Journal of Combinatorics, 30.3 (2023): P3.24.
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The induced saturation problem for posets
with A. Freschi, M. Sharifzadeh, and A. Treglown.
Combinatorial ŒTheory, 3.3 (2023): 62792.
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Turán density of cliques of order five in 3-uniform hypergraphs with quasirandom links
with S. Berger, Chr. Reiher, V. Rödl, and M. Schacht.
Accepted in Transactions of the American Mathematical Society.
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Cycle decompositions in 3-uniform hypergraphs
with N. Sanhueza-Matamala.
Combinatorica, 43.1 (2023): 1-36.
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r-cross t-intersecting families via necessary intersection points
with P. Gupta, Y. Mogge, and B. Schülke.
Bulletin of the London Mathematical Society, 55.1 (2023): 1447-1458.
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On extremal problems concerning the traces of sets
with B. Schülke.
Journal of Combinatorial Theory, Series A, 181 (2021): 105447.
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Localized codegree conditions for tight Hamilton cycles in 3-uniform hypergraphs
with P. Araújo and M. Schacht.
SIAM Journal on Discrete Mathematics, 36.1 (2022): 147-169.
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Lecture notes

Extremal set theory
University of Birmingham 2023

Contact

    Simón Piga
    Department of Mathematics
    University of Hamburg
    Bundesstraße 55
    20146, Hamburg
    Germany

Miscellaneous

    Files needed for ★-canonical edge-ordered graphs   Download







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