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Dr Catalina Vich Llompart
Dr Catalina Vich Llompart
Assistant Lecturer with a PhD
Applied Mathematics

Dr Catalina Vich Llompart


Brief CV

In 2010 she obtained the Bachelor's degree in Mathematics by the Universitat de les Illes Balears (UIB) receiving the special award for the best qualifying record of his promotion. In 2011 she attended the official Master Master in Advanced Mathematics and Mathematical Engineering at the Universitat Politčcnica de Catalunya (UPC), a master training that ensures a greater formation in dynamic systems and neuroscience. In 2012, she also attended a master in teacher training Māster Universitari de Formaciķ del Professorat which has provided a didactic knowledge about teaching mathematics. Since September 2012, she has an employment contract as Assistant Lecturer at UIB.

In 2016, she finished the PhD in Mathematics at the Universitat de les Illes Balears under the supervision of Dr. Antoni Guillamon Grabolosa (UPC) and Dr. Prohens Rafel Sastre (UIB). Her main research focuses on Computational Neuroscience and Dynamic Systems. She studies the problem of estimation of the synaptic conductance (estimate what is the synaptic current that a single neuron is receiving), the effects that depression and facilitation mechanisms have on the conductances into a neural network, and the reconstruction of piecewise linear models that guarantee the existence of maximal Canard orbits, which play an important role in neuroscience defining thresholds.

In 2014, she received the recognition of outstanding student research paper quality and originality in the field of differential equations and dynamical systems with the paper Slow-fast n-dimensional piecewise linear differential systems at the 10th AIMS Conference on Dynamical systems, Differential Equations and Applications, by The American Institute of Mathematical Sciences (AIMS).

She is a member of the research group of Dynamical Systems at UIB.


Office Hours

Lecturer Tutorial Times
Start Date End Date Day Start Time End Time Location
07/02/2019 31/07/2019 Monday 12.30 13.30 Anselm Turmeda, D222
07/02/2019 31/07/2019 Thursday 16.30 17.30 Anselm Turmeda, D222

Subjects taught. Academic Year 2018-19

Subjects taught
Subject Degree/campus
22400 - Mathematics for Engineering
20316 - Numerical Methods I
20321 - Ordinary Differential Equations
11300 - Mathematical Models in Neuroscience

Teaching, 5 previous years

Subject Degree
11300 - Mathematical Models in Neuroscience
  • Master's in Advanced Physics and Applied Mathematics 2017-18
20316 - Numerical Methods I
  • Degree in Mathematics 2017-18
  • Degree in Telematics Engineering 2017-18
  • Double Degree in Mathematics and Telematics (2013)2017-18
22108 - Mathematics in Primary Education
  • Degree in Primary Education 2015-16, 2017-18
22113 - Mathematics Teaching I
  • Degree in Primary Education 2013-14, 2014-15, 2016-17
22126 - Practical Classes I
  • Degree in Primary Education 2017-18


Research groups

Group Membership type
Dynamic systems Member
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