Elías Fuentes-Guillén

Elías Fuentes-Guillén is a researcher at the Institute of Philosophy of the Academy of Sciences of the Czech Republic, where he serves as Principal Investigator for the Junior Star project 'Normalisation and Emergence: Rethinking the Dynamics of Mathematics.' His work focuses on the historical transition from 18th to 19th century mathematical practices with special attention to Bernard Bolzano's contributions.

His educational background includes a PhD in Logic and Philosophy of Science from the University of Salamanca (supervised by José Ferreirós and María Manzano) and undergraduate studies in Philosophy from the Autonomous University of the State of Mexico.

Fuentes-Guillén's research spans multiple dimensions of mathematical history and philosophy, examining how mathematical knowledge evolved during a critical period of standardization. His work integrates textual analysis with philosophical inquiry to understand how mathematical practices transformed from the Enlightenment through the 19th century. He pays particular attention to Bolzano's innovative approaches to mathematical concepts that preceded and influenced later developments in analysis and set theory. His research also investigates how mathematical education changed during this period and how knowledge circulated across European intellectual centers.

His publication record shows consistent output focused on Bolzano's mathematical work, 18th-19th century mathematical transitions, and historical analysis of mathematical concepts like irrational numbers and geometric foundations. The publications reveal a strong interdisciplinary approach combining history, philosophy, and mathematical analysis.

• Josef Dobrovský Fellowship by the Akademie věd České republiky (2018)

Fuentes-Guillén leads the research project 'Normalisation and Emergence: Rethinking the Dynamics of Mathematics' funded by the Czech Science Foundation. He co-manages the 'Bolzano in Prague' website and organizes the itinerant Seminar on the Philosophy and History of Mathematics. His work has involved collaboration with international scholars including David Crippa on historical mathematical examinations in Prague.

As Principal Investigator, he directs a research team investigating mathematical development in Prague and the Czech lands within the broader European context of the first half of the 19th century, with special focus on Bolzano's contributions to mathematical thought.