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The University of Southampton
Mathematical Sciences
Phone:
(023) 8059 3685
Email:
I.Aniceto@soton.ac.uk

Dr Inês Aniceto 

EPSRC Early Career Research Fellow

Dr Inês Aniceto's photo

Dr Inês Aniceto is an EPSRC Early Career Fellow in Applied Mathematics and Theoretical Physics within Mathematical Sciences at the University of Southampton.

Background

2018 - Present: EPSRC Early Career Fellow, Mathematical Sciences, University of Southampton, UK

2014 - 2017: Postdoctoral Researcher at Physics Department, Jagiellonian University, Krakow, Poland

2009 - 2014: Postdoctoral Researcher at CAMGSD, Department of Mathematics, Instituto Superior Tecnico (IST), Lisbon, Portugal

2009: Ph.D. in Physics, Brown University, Providence (RI), USA

2006: M.Sc. in Physics, Brown University, Providence (RI), USA

2002: Licenciatura in Engineering Physics, Instituto Superior Tecnico (IST), Lisbon, Portugal

Research interests

My research interests cover a broad range of topics in mathematics and physics, summarised into two main areas: 

1. Perturbation theory and asymptotic analysis of non-perturbative phenomena

My main interests are currently focused on the study of asymptotics in non-linear ODEs, random matrix models and gauge theories, via the development of the mathematical framework of resurgence.

One of my short term goals is to fully understand the resurgent behaviour and Stokes phenomena for problems with a multi-dimensional phase space. More concretely, I am interested in the applications of resurgence to pattern formation and time-evolution in certain PDEs, the large-N expansions of free energies in matrix models and large proper-time expansion of Yang-Mills plasma and the prediction of the dual quasinormal modes.

I am also interested in the study of asymptotic solutions to non-linear ODEs such as the Painlevé equations, and how to use summation procedures and resurgence to retrieve global analytic information of these solutions.

 

2. Integrability in AdS/CFT, semi-classical strings and correlation functions

Another main area of research interest is the integrability properties of sigma-models, and the semi-classical analysis of string solutions. Recently, I have been working on the problem of having adding contributions of massless modes to semi-classical integrability-based calculations, and how these related to massless TBA equations. I am also interested in the uses of integrability in the calculation of correlation functions.

The two research areas often overlap, as resurgence has shown great applicability to observables with associated asymptotic expansions calculated via integrability.

Research group

Applied Mathematics and Theoretical Physics

Affiliate research groups

String Theory and Holography, Computational Applied Mathematics

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Articles

Book Chapter

  • Aniceto, I. (2017). Asymptotics, ambiguities and resurgence. In F. Fauvet, D. Manchon, S. Marmi, & D. Sauzin (Eds.), Resurgence, Physics and Numbers (1 ed., Vol. 20, pp. 1-66). (CRM Series). Italy: Ediziono della Normale.

Review

Dr Inês Aniceto
Building 54 Mathematical Sciences University of Southampton Highfield Southampton SO17 1BJ

Room Number: 54/7029

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