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Keywords

Multiplication Decimal place value notation Historiographie des sciences India Mathématiques en Inde History of mathematics Histoire des mathématiques History of Mathematics in India Histoire des mathématiques en Inde Brahmagupta Historiography of science Inde Bhâskara I Historiography of arithmetics Mathématiques védiques Historiographie de l'arithmétique Aryabhata History of mathematical proofs History of mathematics in India Histoire des preuves mathématiques
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CV-Agathe Keller

I work on the mathematical practices testified by Sanskrit treatises and commentaries of the 5-12 centuries.  I am currently working on a critical edition of Caturveda Pṛthūdakṣvamin (fl. 860 )'s commentary on the mathematical chapter of the Brāhmasphuṭasiddhānta.

I also explore 19 and 20th century histories of mathematics in India written outside and within the Indian subcontinent, underlying notably their political context. I am also interested in the way critical editions and translations of mathematical texts were elaborated and then circulated and read and the influence this has had on present day historiographies.

Journal articles8 documents

  • Agathe Keller. Shedding light on diverse cultures of mathematical practices in South Asia: Early Sanskrit mathematical texts in conversation with modern elementary Tamil mathematical curricula. Journal of Ethnographic Theory - HAU, University of chicago press, 2019, 9 (1), pp.113-125. ⟨10.1086/703886⟩. ⟨halshs-02427218⟩
  • Agathe Keller. « Mathématiques védiques », espoirs fin de siècle d'une modernité alternative. Histoire de la recherche contemporaine : la revue du Comité pour l’histoire du CNRS , CNRS Éditions, 2018, Champs et contrechamps de la musicologie d'aujourd'hui, VII (1), pp.97-106. ⟨10.4000/hrc.2187⟩. ⟨halshs-02427205⟩
  • Agathe Keller, Kim Plofker, Takao Hayashi, Clemency Montelle, Dominik Wujastyk. The Bakhshālī Manuscript: A Response to the Bodleian Library's Radiocarbon Dating. History of Science in South Asia, University of Alberta, 2017, 5 (1), pp.134 - 150. ⟨10.18732/H2XT07⟩. ⟨halshs-01666444⟩
  • Agathe Keller. The mathematical chapter of the Āryabhaṭīya: A compilation of mnemonic rules?. Archives internationales d'histoire des sciences, Académie internationale d'histoire des sciences, 2016, Writings and Orality (ed. MC Bustamante), 75, pp.75-100. ⟨halshs-01404712⟩
  • Agathe Keller. Commencements et origines en mathématiques; des rituels pour conjurer l'abime? . Esquisse(s), Editions du Félin, 2015, Commencements, pp.63-72. ⟨halshs-01484795⟩
  • Agathe Keller. Bhāskara I's versified solutions of a linear indeterminate equation. Indian Journal of History of Science, 2014, 49 (2), pp.97-126. ⟨halshs-00760116v2⟩
  • Agathe Keller. George Peacock's Arithmetic in the Changing Landscape of the History of Mathematics in India. Indian Journal of History of Science, 2011, 46 (2), pp.205-233. ⟨halshs-00149552v3⟩
  • Agathe Keller. Making diagrams speak, in Bhâskara I's commentary of the Âryabhatîya. Historia Mathematica, Elsevier, 2003, 32 (3), pp.275-302. ⟨halshs-00000445v2⟩

Conference papers5 documents

  • Agathe Keller. Reasoning on Sines: Pṛthūdaka’s commentary on Brahmagupta’s Brāhmasphuṭasiddhānta (BSS.21.17-23). Practices of Reasoning in the Mathematical Sciences, Dec 2017, Paris, France. ⟨halshs-01676433⟩
  • Agathe Keller. Modes of Self-orientalism in « Vedic Mathematics ». 7th ESHS Conference, Sep 2016, Prague, Czech Republic. ⟨halshs-01427284⟩
  • Agathe Keller. A Historiographical Exploration of Āryabahṭa's verses on Indeterminate Problems of the First Degree. Writing histories of ancient mathematics – Reflecting on past practices and opening the future, 18th – 21st centuries, Chemla, Keller, and Proust, Oct 2016, Paris, France. ⟨halshs-01427248⟩
  • Agathe Keller. What are the proofs of Prthudaka’s commentary on the mathematical of the Brāhmasphuṭasiddhānta? An exploration of his explanations of Brahmagupta's rules on progressions. . Commentaries, a Workhop, Karine Chemla, Mark Geller, Glenn W. Most, Aug 2016, Berlin, Germany. ⟨halshs-01427304⟩
  • Agathe Keller. Comment on a écrit les nombres dans le sous- continent indien, histoires et enjeux. Comment on a écrit les nombres dans le sous-continent indien, histoires et enjeux, Nov 2006, Paris, France. pp.65-82. ⟨halshs-00150726⟩

Book sections13 documents

  • Agathe Keller, Catherine Morice-Singh. Multiplying Integers: on the diverse practices of medieval Sanskrit authors. Chemla, Karine; Keller, Agathe et Proust, Christine. Cultures of computation and quantification in the ancient world, Springer WSAWM, In press. ⟨halshs-01006135v2⟩
  • Agathe Keller, Koolakodlu Mahesh, Clemency Montelle. History of Numerical Tables in Sanskrit Sources. Tournes, Dominique. History of Numerical Tables, Springer, In press, WSAWM. ⟨halshs-01006137⟩
  • Agathe Keller. Characterizing a Sanskrit Mathematical Commentary: An exploration of Pṛthūdaka‘s Vāsanābhāṣya on progressions. CHEMLA, Karine; GELLER, Marc; MOST, Glenn. Proofs, Problems and Procedures: mathematical commentaries., In press, Cambridge University Press. ⟨halshs-03101614⟩
  • Agathe Keller. Shaping a Mathematical Text in Sanskrit: H. T. Colebrooke, Sudhākara Dvivedin, and Pṛthūdaka’s commentary on the twelfth chapter of the Brāhmasphuṭasiddhānta. Keller, Agathe; Chemla, Karine. Shaping the Sciences of the Ancient World Text Criticism, Critical Editions and Translations of Ancient Scholarly Texts, In press, WSAWM. ⟨halshs-03101314⟩
  • Agathe Keller. Reconstruire l'exécution des opérations élémentaires dans les sources sanskrites médiévales: des tableaux numériques éphémères?. Artigue, Michèle et Husson, Mathieu. Actes de la 13ème journée d'étude-Tables, Tableaux, Graphiques, IREM-Université Denis Dierot-Paris 7, pp.33-46, 2015, Reconstruire l'exécution des opérations élémentaires dans les sources sanskrites médiévales: des tableaux numériques éphémères?. ⟨halshs-00986997⟩
  • Agathe Keller. Ordering operations in square root extractions: Analyzing some early medieval Sanskrit mathematical texts with the help of Speach Act Theory. Chemla, Karine and Virbel, Jacques. Texts, Textual Acts and the History of Science, Springer (Archimedes), pp.183-218, 2015. ⟨halshs-00506929v2⟩
  • Agathe Keller. History of mathematical education in ancient, medieval and pre modern India (within the Chapter: Mathematics Education in Oriental Antiquity and Middle Ages). Karp and Schubring. Handbook on the History of Mathematics education, Springer, pp.70-83, 2014. ⟨halshs-01006132v3⟩
  • Agathe Keller. Is "Hindu mathematics" a European idea? Gleanings on the politics of the history of arithmetics. Publicacions de la residència d'investigadors, 38, pp.332, 2013, 978-84-931588-4-2. ⟨halshs-00197160⟩
  • Agathe Keller. Overlooking mathematical justifications in the Sanskrit tradition: the nuanced case of G. F. Thibaut. History of Mathematical Proof in Ancient Traditions, Cambridge University Press, pp.260-273, 2012. ⟨halshs-00150736v2⟩
  • Agathe Keller. Dispelling mathematical doubts. Assessing the
    mathematical correctness of algorithms in Bhâskara's commentary on the mathematical chapter of the Âryabhatîya.. Chemla, Karine. The History of Mathematical Proof in Ancient Traditions, Cambridge University Press, pp.487-508, 2012. ⟨halshs-00151013v4⟩
  • Agathe Keller. On Sanskrit commentaries dealing with mathematics (Vth-XIIth century). Bretelle-Establet, Florence. Looking at it from Asia: the Processes that Shaped the Sources of History of Science, Boston Studies in the Philosophy of Science, pp.211-244, 2010. ⟨halshs-00189339v4⟩
  • Agathe Keller. Qu'est ce que les mathématiques ? Les réponses taxinomiques de Bhåskara, un commentateur, mathématicien et astronome indien du VIIe siècle. Kimé. Sciences et Frontières, pp.29-61, 2007. ⟨halshs-00151008⟩
  • Agathe Keller. Chapitre sur le pulvérisateur chez Bhâskara I

    Chapter on the pulverizer in Bhâskara'I work. Expounding the mathematical seed, Bhâskara and the Ganitapada of the Âryabhatîya, Birkhaüser, 2006. ⟨halshs-00114947⟩

Directions of work or proceedings2 documents

  • Karine Chemla, Agathe Keller, Christine Proust. Cultures of computation and quantification in the ancient world. Numbers, measurements, and operations in documents from Mesopotamia, China and South Asia, Springer, 2022, à paraître.. K. Chemla, A. Keller, C. Proust (eds.). Springer Nature, 2022. ⟨hal-03506050⟩
  • Aurélien Alvarez, Rémi Anicotte, Jean-Marc Bonnet-Bidaud, Sonja Brentjes, H. Bravo-Alfaro, et al.. Maths Express au carrefour des cultures. Marc Moyon. France. CIJM - Comité International des Jeux Mathématiques, 2014. ⟨hal-01243346⟩

Other publications1 document

  • Agathe Keller. Notes et Débat. A letter by J. Wagner "Les lumières et l'astronomie indienne" criticizes D. Raina's"Betwixt Jesuit and Enlightenment historiography: Jean-Sylvain Bailly's History of Indian Astronomy. 2013. ⟨halshs-00944743⟩

Preprints, Working Papers, ...5 documents

  • Agathe Keller. Hindu nationalism and History of Science: some reflexions. 2013. ⟨halshs-00878974⟩
  • Agathe Keller. Compte Rendu sur la Session consacrés aux Scientifiques Engagés au colloque international de Pékin, Juillet 2005. 2005. ⟨halshs-00007147⟩
  • Agathe Keller. Vedic Mathematics : enjeux multiples de l'histoire des sciences en Inde. 2003. ⟨halshs-00069276⟩
  • Agathe Keller. Glossary of my translation of Bhâskara's commentary to the AaryabhaTiiya. 2000. ⟨halshs-00006347⟩
  • Agathe Keller. Appendix on some elements of Indian Astronomy. 2000. ⟨halshs-00006348⟩

Theses1 document

  • Agathe Keller. Un commentaire indien du VIIème siècle, Bhâskara et le ganitapada de l'aryabhatiya. Histoire, Philosophie et Sociologie des sciences. Université Paris 7 - Denis Diderot, 2000. Français. ⟨halshs-00006349⟩

Videos1 document

  • Dhruv Raina, Agathe Keller, Elisabeth de Pablo, Sophie Baudelot. Exploring the postcolonial field of science studies in India.
    : Entretien avec Dhruv Raina (Jawaharlal Nehru University, New Delhi, Inde) réalisé par Agathe Keller (CNRS, Paris).. 2003. ⟨medihal-02120036⟩