I am a second-year PhD student under the supervision of Dr. Hong Liu and Prof. Oleg Pikhurko. My research interests lie in Extremal and Probabilistic Combinatorics, and Analytic Combinatorics. I also enjoy learning Complex Analysis and Ergodic Theory.

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.
  • Supervisor: Pablo Fernández Gallardo.
• 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

• Nested cycles with no geometric crossings, with J. Kim, Y. Kim and H. Liu, 9 pages, to appear in Proceedings of the American Mathematical Society, arXiv:2104.04810.
• New lower bounds on kissing numbers and spherical codes in high dimensions, with J. Kim, H. Liu and O. Pikhurko, preprint arXiv:2111.01255.

Talks

• LIMDA Seminar, Universitat Politècnica de Catalunya, Spain, 5th May, 2021.
• Warwick Postgraduate Seminar, University of Warwick, UK, 19th May, 2021.
• Young Researchers in Mathematics, UK, 7th June, 2021.
• Summer school "Matemáticas: mucho más que números", Universidad de Santiago de Compostela, Spain, 26th July, 2021.
• EUROCOMB 2021, Barcelona, 7th September, 2021.
• Discrete Seminar, Umeå University, Sweden, 14th October, 2021.
• First Workshop on Developments in Combinatorics, Shandong University, China, 26th October, 2021.
• PhD Seminar on Combinatorics, Games and Optimisation, London School of Economics, UK, 12th November, 2021.

Teaching

2020 - 2021

• Supervisor of two groups of first-year Mathematics students
• TA for MA241 - Combinatorics
• TA for MA397 - Consolidation
• TA for MA3J2 - Combinatorics II

2021 - 2022

• Supervisor of one group of first-year Maths and Computer Science students
• TA for MA131 - Analysis I
• TA for MA397 - Consolidation