Here are slides to some talks I have given.

Research Talks

• The fundamental group functor as a Kan extension
  CT13 Sydney, 8 July 2013. This is a slightly updated version of the talk in Sheffield.
• The fundamental group functor as a Kan extension
  PSSL Sheffield, 25 March 2013.
• Relative Goursat Categories (in French)
  SIC Calais, 5 November 2010.
• Higher Extensions and the relative Kan property
  CT10, Genova, 21-26 June 2010.

Talks to students

• Maths and me
  about my mathematical career, given to Leicester Maths students as part of Women in Mathematics day 2020.
• Remainders of Security: from modular arithmetic to cryptography (shorter version)
  Cambridge Open Days May and June 2017, aimed at sixth-form students.
• Remainders of Security: from modular arithmetic to cryptography
  Cambridge Maths Masterclass, 8 April 2017, and previous versions in 2016,
  aimed at sixth-form students.
• Universal Properties: a categorical look at undergraduate algebra and topology
  Archimedeans, 24 February 2017,
  previous versions to Adam's Society and The Hyperbolics;
  aimed at undergraduate mathematicians at Cambridge.
• Abstraction in Mathematics
  Trinity Mathematics Society, 18 February 2013,
  aimed at undergraduate mathematicians at Cambridge.
• Abstraktion in Mathematik (in German)
  Gymnasium Philippinum Weilburg, 2 February 2012,
  aimed at high-school students in Germany.

Part III Talks

These are from 2016/17.

• Part III Revision Strategy
  for Part III students, University of Cambridge.
• How to write a Part III Essay: From Outline to Essay
  for Part III students, University of Cambridge.
• How to read a paper
  for Part III essays, University of Cambridge.
• How to prepare a talk
  in particular for Part III Seminars, University of Cambridge.
• Essays and Talks
  geared towards Part III Maths, University of Cambridge.
• MASt Welcome
  for Part III students coming to join from outside of University of Cambridge.