Clemency Montelle 
Lecturer of Mathematics
Ph.D. (2005) Brown University
Fulbright Scholar (1999)
Department of Mathematics and Statistics
University of Canterbury
Private Bag 4800
Christchurch, NEW ZEALAND
Telephone: +64 3 364 2267
Fax: +64 3 364 2587
Email: c.montelle@math.canterbury.ac.nz
I am a lecturer for the Department of Mathematics and Statistics at the University of Canterbury, Christchurch, New Zealand. I have a first-class honours undergraduate degree, with a double major in Mathematics and Classical Studies (with an emphasis in Greek and Latin). After completing a Masters degree, granted with distinction, I was awarded a Fulbright graduate student award which supported PhD research at Brown University, Providence RI, USA, at the Department of the History of Mathematics under the expert guidance of the late Professor David Pingree, Dr Alice Slotsky, and Dr Kim Plofker, reading original texts in the Exact Sciences in Greek, Latin, Sanskrit, Arabic, and Cuneiform. I maintain on-going collaboration with Dr Kim Plofker.
I am the On-Campus Representative for Fulbright New Zealand for the University of Canterbury, as well as the Fulbright regional alumni coordinator for Canterbury region.
I am a founding member of the New Zealand South Asia Research Center, Christchurch, New Zealand (NZSARC), a New Zealand based organization dedicated to promote local and international collaboration of research on South Asia.
I am the programme co-ordinator for the History and Philosophy of Science (HAPS) discipline at the University of Canterbury.
I am the New Zealand Vice-President for the Australian Association for the History, Philosophy, and Social Studies of Science (AAHPSSS).
Research Interests
I am a mathematician with research expertise in the History of Mathematics. I combine a sound reading knowledge of several arcane languages and read primary source mathematical manuscripts from antiquity to investigate questions related to their content, context, origins, and their theoretical and practical ramifications, and consider issues of the transmission of mathematical knowledge from culture to culture.
I am currently involved in research programmes on:
- History of Numerical Tables
- The Role and Nature of Diagrams in Mathematics
- Ancient Mathematical Astronomy and Modelling
- Sanskrit Mathematical Manuscript Cataloguing Project
- Mathematics Education
I am happy to provide research support and collaboration. Please contact me by email.
Current Projects
- Mathematical Tables. The role of tables in ancient and medieval Sanskrit Mathematics. I am actively involved in the international multidisciplinary four-year project Histoire des Tables Numériques lead by Dominique Tournès (Univ. Saint-Denis, La Réunion) funded by the French Agence Nationale de la Recherche (ANR)
- The investigation of Sanskrit texts and manuscripts on mathematics and astronomy, with particular emphasis on the role and nature of their technical diagrams. Diagrams represent an element of mathematical reasoning which is not part of the written text. Are they complementary or independent of the text?
- The critical edition and commentary of the twelfth century Arabic work in mathematical astronomy, the Zij al-Sanjari by Al-Khazini.
- The critical edition and commentary of a seventh century Sanskrit work in mathematical astronomy: the Commentary on Brahmagupta's Khaṇḍakhādyaka by Āmarāja.
- Hypsicles of Alexandria and his two works the Anaphorica and the so-called Book Fourteen of Euclid's Elements.
- The discovery of logarithms by Napier and Bürgi and the issues surrounding the so-called ‘priority’ of discovery, parallel insights in mathematics as well as the theoretical and practical motivation for their development.
- The role and function of mathematical notation and symbolism, particularly in the emergence of symbols for various aspects of calculus in the seventeenth century and beyond.
- Mathematics Education. Acceleration of High Ability Students. Interaction and learning techniques in mathematics tutorials. The effects of NCEA on tertiary mathematics entrants.
Graduate Student Supervision
I welcome inquiries regarding graduate student supervision. See my research projects page for details.