About me

I am an Assistant Professor (Profesor Ayudante Doctor) in the Department of Applied Mathematics at Rey Juan Carlos University (URJC), where I have been teaching since September 2021. I was accredited by ANECA as Contratado Doctor in 2023 and as Profesor Titular in 2025. I currently hold one Sexenio de Investigación (2018–2023) and one Quinquenio Docente (2018–2022).

I am the principal investigator of the Grupo de investigación Emergente en Métodos Computacionales en Estadística y Topología (COMESTOP) at URJC. I am also a member of the project Inferencia Robusta para Modelos de Cura Mixtos basada en Medidas de Divergencia (2025/SOLCON‑159637).

You can reach me at pedro.chocano@urjc.es. My office is 025, Departamental II, Móstoles Campus.

Outside academia, I am happily married to a statistician, and we share our home with three parakeets and a dog. We are strong advocates for animal adoption, and all our pets come from shelters. If you are considering adopting or supporting an animal‑welfare organization, I encourage you to visit Zarpas y Colmillos, which works to find loving homes for animals in need.

In my free time, I enjoy reading books and comics, watching films, and staying active through sports.

Education

I graduated in Mathematics from the Complutense University of Madrid in 2015. I completed my Master’s degree in 2016 and obtained my PhD in Mathematics in 2021 under an FPI grant, also at the Complutense University of Madrid.

During my doctoral studies, I carried out a three‑month research stay at the Jagiellonian University (Poland) under the supervision of Marian Mrozek, where I worked on topics related to computational topology and dynamical systems.

Research

My research explores the interplay between algebraic topology, group theory, posets, and dynamical systems, with a strong emphasis on computational methods, fixed point theory, and robust statistics. I am particularly interested in how topological, algebraic, and combinatorial structures interact to reveal qualitative and structural properties across different areas of mathematics.

I enjoy working at the intersection of theory, computation, and applications, and I am always open to collaborations with researchers and students interested in these topics. If you are curious about my current projects, potential directions for joint work, or opportunities for supervision, you can find more detailed information here.

Organization

Over the past academic years (2023–2024, 2024–2025, and 2025–2026), I have organized several short courses and reading seminars in Algebraic Topology and Topological Data Analysis within the Grupo de investigación Emergente en Métodos Computacionales en Estadística y Topología de la Universidad Rey Juan Carlos. These activities have covered both introductory and advanced topics, aiming to provide accessible, research‑oriented training for students and early‑career researchers.

During the current academic year, I have organized a total of three courses, continuing to strengthen the group’s teaching and outreach activity in areas related to topology and its applications.

Looking ahead, I plan to offer additional courses in the upcoming academic year, further expanding the range of topics and maintaining an open and collaborative environment for anyone interested in these subjects.

If you would like to attend future activities or receive updates, feel free to contact me at pedro.chocano@urjc.es.

Teaching

For the 2025-2026 academic year, my teaching groups are as follows: 

• ÁLGEBRA LINEAL Y MATEMÁTICA DISCRETA: Grado en  Ingeniería en Sistemas de Telecomunicación (FUENLABRADA)

• ÁLGEBRA LINEAL: Grado en Ciencia e Ingeniería de Datos (FUENLABRADA)

• ESTRUCTURAS ALGEBRAICAS AVANZADAS: Grado en Matemáticas, Doble Grado en Ingeniería Informática y Matemáticas, Doble Grado en Ingeniería del Software y Matemáticas , Doble Grado en Educación Primaria y Matemáticas (MÓSTOLES)

Teaching materials are available on the Virtual Classroom (Aula Virtual).