Camila Zárate-Guerén

email: ciz230 at student dot bham dot ac dot uk

Hi! I am a third year PhD student at the University of Birmingham under the supervision of Richard Mycroft.

Previously, I received my Master's degree from Universidad de Chile in 2022, with Maya Stein as my advisor.

My research interests lie in combinatorics, specifically in graph theory. During my master's thesis I worked in extremal graph theory and digraphs. Lately, I have been also working with spanning structures in hypergraphs.

Links to my arxiv, my msc. thesis (in english) and my full cv (last update: September 2025).

Publications

Positive codegree thresholds for perfect matchings in hypergraphs with Richard Mycroft.
arXiv
Positive codegree thresholds for Hamilton cycles in hypergraphs with Richard Mycroft.
arXiv
Colour-bias perfect matchings in hypergraphs with Hiệp Hàn, Richard Lang, João Pedro Marciano, Matías Pavez-Signé, Nicolás Sanhueza-Matamala, Andrew Treglown.
arXiv + SIAM Journal on Discrete Mathematics (2025)
A note on colour-bias perfect matchings in hypergraphs with József Balogh, Andrew Treglown.
arXiv + SIAM Journal on Discrete Mathematics (2024)
Antidirected subgraphs of oriented graphs with Maya Stein.
arXiv + Combinatorics, Probability and Computing (2024)

Talks

Positive codegree thresholds for Hamilton cycles

Random Structures & Algorithms. TU Wien, August 2025. - slides
British Early Career Mathematicians' Colloquium. University of Birmingham, July 2025.

Colour-bias perfect matchings in hypergraphs

Combinatorics Study Group. Queen Mary University of London, February 2025.
VII Congreso de Jóvenes Investigadores de la RSME. Bilbao, January 2025. - slides
PhD Seminar on Combinatorics, Games and Optimisation. London School of Economics, November 2024.
Combinatorics Seminar. University of Warwick, October 2024.
Combinatorics Seminar. University of Birmingham, October 2024.
British Combinatorial Conference. Queen Mary University of London, July 2024.
Combinatorics seminar. University College London, May 2024.
Postgraduate Combinatorial Conference. London School of Economics and University College London, April 2024.

Semidegree, edge density and antidirected subgraphs

PiFORUM. University of Birmingham, September 2023.
EUROCOMB. Prague, August - September 2023.
Combinatorics seminar. University of Birmingham, February 2023.
Combinatorics seminar. Institute of Computer Science of the Czech Academy of Science, June 2022.

Extras

I am from Copiapó, a city in the north of Chile, close(ish?) to the Atacama desert. If you happen to be around in spring on a year that had more rainfall than usual, you must visit the flowering desert.

I like playing board/videogames. If you have any recommendations, do let me know. Also, I am currently making a videogame with my friends :) (if you enjoy roguelikes and preparing tea... you might be interested in this game)

Other activities that I enjoy are crochet, dancing (badly), singing (not terribly?), reading (books/manga/manhwa), going to concerts; and I am trying to learn korean at the moment (안녕!)