Research
2026 – present
PhD student in Applied Mathematics
Universitat Politècnica de Catalunya (UPC)
Collatz conjecture and symbolic dynamics. Advisor: Dr. Jaume Franch.
Teaching experience
2018 – present
Mathematics teacher
Col·legi Maristes Sants—Les Corts (Barcelona)
IB Mathematics AI HL and SL, Bachillerato Mathematics, Maths 2nd ESO. Cangur prep.
2011 – 2018
Mathematics teacher · Head of Studies (Bachillerato)
Escola Meritxell (Mataró)
ESO and Bachillerato mathematics. Last two years as Head of Studies for Bachillerato.
Publications
2026
A Fibonacci theorem for Collatz trajectories via modular graph structure
A. Reyes — preprint, arXiv:2606.02621 [math.NT]
2014
New conditions to keep static feedback linearizability under addition of new inputs
J. Franch, A. Reyes — 53rd IEEE Conference on Decision and Control (CDC), pp. 5624–5629
2013
Differential flatness of a class of n-DOF planar manipulators driven by an arbitrary number of actuators
J. Franch, A. Reyes, S. K. Agrawal — European Control Conference (ECC), pp. 161–166
Education
2010 – 2012
MSc in Applied Mathematics
Universitat Politècnica de Catalunya — FME
2010 – 2011
MSc in Teacher Training
Universitat Politècnica de Catalunya — FME
2004 – 2010
BSc in Mathematics (Licenciatura)
Facultat de Matemàtiques i Estadística (FME) — UPC
Languages
Native
Spanish · Catalan
Intermediate
English
B2 level. 9-month Erasmus exchange at the University of Sheffield.
Tools & software
LaTeXGeoGebraMapleMatlabC++MoodleClickEduAlexiaOffice 365NotionGenerative AI (LLMs)