Conference programme

View the detailed agenda, speakers and their submitted abstracts for the Conference on the 'Historiography of Mathematical Symbolism' from September 15-19 2025

Please note that all sessions will take place in Room 5323, James Clerk Maxwell Building (King’s Buildings), except for Monday afternoon which will be held in G.32, Murchison House (King’s Buildings).

Day 1: Monday 15 September

9:30am-1pm: Introduction

Reopening the History of Mathematical Symbolism Through Remarks on its Historiography

Speaker: Karine Chemla (School of Mathematics, The University of Edinburgh and SPHERE)

Commentator: Xiaohan Célestin Zhou

John Wallis on Symbolization and the Nature of Viète’s "New Algebra"

Speaker: Toni Malet (Institut d'Història de la Ciència, Universitat Autònoma de Barcelona)

Commentator: Agathe Keller

2pm-5:30pm

After Viète. Symbols and Symbolic Representation in the Mathematical Writings of John Wallis (1616-1703)

Speaker: Philip Beeley (Faculty of History, University of Oxford)

Commentator: Prashant Kumar

Isaac Barrow blowing Archimedes out of proportion: A close look at his commentary for Sphere and Cylinder Book 2 Proposition 4

Speaker: E. Hunter

Commentator: Jens Høyrup 

Day 2: Tuesday 16 September

9:30am-1pm

The revised Nesselmann categories applied to European algebraic writings between 1300 and 1650

Speaker: Jens Høyrup (Roskilde University, emeritus)

Commentator: Christophe Eckes

How Historians and Orientalists have Debated the Existence of Symbolism in Sanskrit Mathematical Texts. A First Overview centered on the Figure of Léon Rodet

Speaker: Agathe Keller (SPHERE, CNRS—University Paris Cité)

Commentator: Philip Beeley 

2pm-5:30pm

The Historiography of Mathematical Symbols in Salih Zeki's Kāmūs-i Riyādiyyāt

Speaker: Zehra Bilgin (PhD, Istanbul Medeniyet University, Institute for the History of Science, İstanbul, TÜRKİYE)

Commentator: E. Hunter

Revisiting Salih Zeki's Thesis about the Origins and History of Arabic Algebraic Notation

Speakers: Alex Garnick (Harvard University and SPHERE) and Karine Chemla (School of Mathematics, The University of Edinburgh and SPHERE)

Commentator: Richard Oosterhoff

Day 3: Wednesday 17 September

9:30am-1pm

The Chakravala's New Clothes: De Morgan on Symbolism, Analogy, and Epistemology in Bhāskara's Solutions to Indeterminate Equations

Speaker: S. Prashant Kumar (University of Chicago)

Commentator: Marie-José Durand-Richard

Mathematical symbolism and its history in the Mathematical and Philosophical Dictionary of Charles Hutton (1795/1815)

Speaker: Agathe Keller (SPHERE, CNRS—University Paris Cité)

Commentator: Arilès Remaki

2pm-5:30pm

Free afternoon

Day 4: Thursday 18 September

9:30am-1pm

Historiography of Mathematical Notations by Cambridge’s Algebraists (1820-1845)

Speaker: Marie-José Durand-Richard (Honorary Lecturer Université Paris 8 Vincennes & Researcher associated to SPHERE, CNRS, CNRS—University Paris Cité)

Commentator: Isobel Falconer 

“A very fortunate idea”: Humboldt and Degérando on place-value notation, pasigraphies, and Condillac’s legacy

Speaker: Ivahn Smadja (Nantes Université, CAPHI - Institut Universitaire de France)

Commentator: Toni Malet

2pm-5:30pm

Bourbaki's historiography on algebraic notations and symbolism

Speaker: Christophe Eckes (Archives Henri-Poincaré, université de Lorraine)

Commentator: J.P. Ascher

Uncontrolled symbolic computations in the history of the differential calculus and in non-Western mathematics: A first exploration of late 19th-century views

Speaker: David Waszek (post-doctoral fellow, Ecole Normale Supérieure)

Commentator: Ksenia Tatarchenko

Day 5: Friday 19 September

9:30am-1pm

Exponentiation: a notational issue?

Speaker: Arilès Remaki (Johannes Gutenberg Universität Mainz) 

Commentator: Karine Chemla

Differences in the Understanding of Mathematical Symbolism Between Mathematicians and Historians of Mathematics in 19th and 20th century China

Speaker: Zhou Xiaohan (Institute for the History of Natural Sciences, Chinese Academy of Sciences, Beijing)

Commentator: Zehra Bilgin

2pm-5:30pm

Reddening Signs: What is Marxist about the Russian Language Historiography of Mathematical Symbolism?

Speaker: Ksenia Tatarchenko (JHU, Medicine, Science, and the Humanities program)

Commentator: Ivahn Smadja

General discussion, launched by Alex Garnick and David Waszek