Àlex Reyes
Manuel Alejandro Reyes Jiménez
Maths teacher at Col·legi Maristes Sants—Les Corts and PhD student at UPC, working on the Collatz conjecture and symbolic dynamics. This is my workspace — where the classroom and research meet.
- School
- Maristes Sants—Les Corts
- At this school since
- 2018
- Teaching since
- 2011
- Position
- Mathematics teacher (ESO, BTL & IB)
- Form tutor
- 2nd ESO
- Institution
- FME — UPC
- PhD started
- 2026
- Research line
- Symbolic dynamics — Collatz
Since I was a kid, I've been fascinated by problem solving. I never cared whether the solution had a practical application — I just enjoyed thinking, analysing, getting to the bottom of things. I graduated from the FME at UPC in Mathematics, and also completed an MSc in Applied Mathematics and an MSc in Teacher Training.
I spent 7 years at Escola Meritxell in Mataró as a mathematics teacher for ESO and Bachillerato — the last two as Head of Studies for Bachillerato. For the last 8 years I've been teaching at Col·legi Maristes Sants—Les Corts — the same school where I did all of my primary and secondary education.
Fifteen years in the classroom brought me back to something I had long set aside: the drive to solve real problems. One day I came across the Collatz conjecture — a problem that captures everything I love about mathematics. And thanks to that, I'm currently doing a PhD under Dr. Jaume Franch Bullich at UPC.
Teaching
- 26 Apr 2026 Published the full subject information for Applied Maths for Social Sciences (1st BTL): schedule, assessment criteria, calendar and official syllabus (Baula textbook).
- 25 Oct 2025 Published exam Unit 1 — Fractions and decimals for 2nd ESO group A, with detailed solutions per question.
- 1 Oct 2025 Published exam Unit 1 — Fractions (PREVIEW) for 2nd ESO group A.
- Sep 2025 Complete Fractions unit notes published for 2nd ESO.
PhD
- Apr 2026 Started the PhD at UPC with Dr. Jaume Franch Bullich.
- Mar 2026 First draft of the paper “A Fibonacci theorem for Collatz trajectories via modular graph structure”.
- Feb 2026 Progress on the formalisation of fractal modular dynamics over the Collatz conjecture.