Eugenia O'Reilly-Regueiro is a Mexican mathematician specializing in

algebraic combinatorics Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...

and particular in the symmetries of

combinatorial design Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of ''balance'' and/or ''symmetry''. These co ...

circulant graph In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes called a cyclic graph, but this term has other meanings. Equivalent definitions Circ ...

s, and

abstract polytope In mathematics, an abstract polytope is an algebraic partially ordered set which captures the dyadic property of a traditional polytope without specifying purely geometric properties such as points and lines. A geometric polytope is said to be ...

s. She is a researcher in the Institute of Mathematics of the

National Autonomous University of Mexico The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the bigges ...

(UNAM).

Education and career

O'Reilly-Regueiro is originally from

Mexico City Mexico City ( es, link=no, Ciudad de México, ; abbr.: CDMX; Nahuatl: ''Altepetl Mexico'') is the capital and largest city of Mexico, and the most populous city in North America. One of the world's alpha cities, it is located in the Valley o ...

. She was a mathematics student at UNAM, graduating in 1995. For the next two years she continued to work at UNAM as an assistant in the mathematics department of the Faculty of Chemistry, while studying

harpsichord A harpsichord ( it, clavicembalo; french: clavecin; german: Cembalo; es, clavecín; pt, cravo; nl, klavecimbel; pl, klawesyn) is a musical instrument played by means of a keyboard. This activates a row of levers that turn a trigger mechanism ...

at UNAM's , working there with musician Luisa Durón. Next, with a scholarship from the UNAM Dirección General de Asuntos del Personal Académico (DGAPA), she traveled to England for graduate study at

Imperial College London Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...

, at that time part of the

University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree ...

system. She completed her PhD in 2003. Her dissertation, ''Flag-Transitive Symmetric Designs'', was supervised by

Martin Liebeck Martin Liebeck (born 23 September 1954) is a professor of Pure Mathematics at Imperial College London whose research interests include group theory and algebraic combinatorics.Mexican Academy of Sciences The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexican scientists, attached to various institutions in the country, as well as a number of eminent foreign coll ...

in 2022.

References

External links

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* {{DEFAULTSORT:OReilly-Regueiro, Eugenia Year of birth missing (living people) Living people Mexican mathematicians Mexican women mathematicians Combinatorialists Members of the Mexican Academy of Sciences