I am a fourth-year PhD student under the supervision of Oleg PikhurkoLink opens in a new window and Hong LiuLink opens in a new window. My research interests lie in Extremal and Probabilistic Combinatorics.

Contact: irene.gil-fernandez(at)warwick.ac.uk

Education

• 2020 - Present: PhD, CDT in Mathematics, University of Warwick.
  • Supervisors: Hong Liu and Oleg Pikhurko.
• 2019 - 2020: Master in Mathematics and Applications, Universidad Autónoma de Madrid (UAM).
  • Master thesis (in Spanish): Lagrange inversion formula and Galton-Watson processes: probabilistic and combinatorial connections.Link opens in a new window
  • Supervisor: Pablo Fernández GallardoLink opens in a new window.
• 2015 - 2019: BSc in Mathematics, Universidad Autónoma de Madrid (UAM).
  • Bachelor thesis: The Symbolic Method in Combinatorics.
  • Supervisor: Pablo Fernández Gallardo.
• 2017 - 2018: Erasmus student at Imperial College London.

Grants

• 2020 - 2024: CDT studentship at the University of Warwick.
• 2019 - 2020: Introduction to research grant for Master students at UAM.

Preprints

• New lower bounds on kissing numbers and spherical codes in high dimensions, with J. KimLink opens in a new window, H. LiuLink opens in a new window and O. PikhurkoLink opens in a new window, accepted in American Journal of Mathematics, arXiv:2111.01255Link opens in a new window.

Publications

• How to build a pillar: a proof of Thomassen's conjecture, with H. LiuLink opens in a new window, Journal of Combinatorial Theory, Series B, 162 (2023), 13-33, (PaperLink opens in a new window).
• Disjoint isomorphic balanced clique subdivisions, with J. HydeLink opens in a new window, H. LiuLink opens in a new window, O. PikhurkoLink opens in a new window and Z. WuLink opens in a new window, Journal of Combinatorial Theory, Series B, 121 (2023), 417-436, (PaperLink opens in a new window).
• Nested cycles with no geometric crossings, with J. KimLink opens in a new window, Y. KimLink opens in a new window and H. LiuLink opens in a new window, Proceedings of the American Mathematical Society, 9 (2022), 22-32, (Paper)Link opens in a new window.

Talks

• VI Congreso de jóvenes investigadores de la RSME, Universidad de León, Spain, 8th February, 2023.
• Discrete Mathematics Days 2022, Universidad de Cantabria, Spain, 4th July, 2022.
• Combinatorics Seminar, University of Birmingham, UK, 10th March, 2022.
• Warwick Postgraduate Seminar, University of Warwick, UK, 9th March, 2022.
• PG Forum, Lancaster University, UK, 16th February, 2022.
• PhD Seminar on Combinatorics, Games and Optimisation, London School of Economics, UK, 12th November, 2021.
• First Workshop on Developments in Combinatorics, Shandong University, China, 26th October, 2021.
• Discrete Seminar, Umeå University, Sweden, 14th October, 2021.
• EUROCOMB 2021, Barcelona, 7th September, 2021.
• Summer school "Matemáticas: mucho más que números", Universidad de Santiago de Compostela, Spain, 26th July, 2021.
• Young Researchers in Mathematics, UK, 7th June, 2021.
• Warwick Postgraduate Seminar, University of Warwick, UK, 19th May, 2021.
• LIMDA Seminar, Universitat Politècnica de Catalunya, Spain, 5th May, 2021.

Teaching

2020 - 2021

• Supervisor of two groups of first-year Mathematics students
• TA for MA241 - CombinatoricsLink opens in a new window
• TA for MA397 - ConsolidationLink opens in a new window
• TA for MA3J2 - Combinatorics IILink opens in a new window

2021 - 2022

• Supervisor of one group of first-year Maths and Computer Science students
• TA for MA131 - Analysis ILink opens in a new window
• TA for MA397 - ConsolidationLink opens in a new window
• TA for CS131 - Mathematics for Computer Scientist IILink opens in a new window
• TA for MA222/MA260 - Norms, Metrics and TopologiesLink opens in a new window