**Invited Talks & Colloquia**

- Dec 14, 2016:
**An****introduction to combinatorics on words – balanced words, Lyndon words, and palindromes**, 40th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (40ACCMCC),*The University of Newcastle*, NSW, Australia. [abstract] [slides] - Sept 25, 2016:
**Some applications of combinatorics on words in Number Theory**, Number Theory Down Under 4,*The University of Newcastle*, NSW, Australia, September 23-26, 2016. [slides] - February 16, 2012:
**Combinatorics of Lyndon words**, Mini-Conference: Combinatorics, representations, and structure of Lie type (organised by Arun Ram, Lawrence Reeves, Craig Westerland), The University of Melbourne. [slides] - July 12, 2011:
**A combinatorial approach to a problem in distribution modulo 1**, Séminaire du Laboratoire de MIS, Université de Picardie Jules Verne, Amiens, France. [slides] - Feb 12, 2010:
**Finite & infinite words in Number Theory**, School of Mathematical Sciences Colloquium, The University of Adelaide. [slides] - Nov 12, 2009:
**Combinatorics on words & some applications in Number Theory**, Groups & Combinatorics Seminar, School of Mathematics & Statistics, University of Western Australia. [abstract] [slides] - June 6, 2009:
**Abelian repetitions and crucial words**, CMS Summer Meeting, Special session:Algebraic Combinatorics, Memorial University, St. John’s, Newfoundland, Canada. [abstract] [slides] - April 1, 2009:
**Palindromic sequences in Number Theory**, Seminar Series, Department of Mathematics and Statistics, University of Winnipeg (Canada). [slides] - March 28, 2009:
**Palindromic properties of infinite sequences with applications to Number Theory**, AMS Spring Central Sectional Meeting, Special session: The Interface Between Number Theory & Dynamical Systems, University of Illinois at Urbana-Champaign, Illinois, USA. [abstract] [slides] - Jan 12, 2009:
**Crucial words for abelian powers**, Mathematics Colloquium, Mathematics Division, Science Institute, University of Iceland. [abstract] [slides] - Sept 26, 2008:
**Palindromic richness**, ICE-TCS seminar series, Reykjavik University (Iceland). [slides] - Sept 12, 2008:
**Rich words**, LaCIM seminar series, LaCIM, University of Québec at Montréal (Canada). [abstract] [slides] - July 25, 2008:
**Palindromic richness**, Seminar Series, Department of Mathematics and Statistics, University of Winnipeg (Canada). [abstract] [slides] - Nov 16, 2007:
**Christoffel words and Markoff’s condition**, Millican Colloquium Series, Department of Mathematics, University of North Texas (USA). - Oct 17, 2007:
**Markoff’s property, central words, and Christoffel words**, ISM Graduate Student Seminar, Department of Mathematics, University of Québec at Montréal (Canada). - Sept 25, 2007:
**Episturmian words: extremal properties and quasiperiodicity**, Algebra and Geometry Research Group Seminar, Matematiska Institutionen, Uppsala Universitet (Uppsala, Sweden). [slides] - March 14, 2007:
**A few words about skew and episkew words**, Recent Progress in Combinatorics on Words, CRM, University of Montréal. [slides] - Feb 12, 2007:
**Characterizations of finite and infinite episturmian words via lexicographic orderings**, Algebraic Combinatorics Seminar, The Fields Institute (Toronto, Canada). [slides] - Jan 22, 2007:
**Powers in a class of A-strict standard episturmian words**, LaCIM seminar for Masters students (INF9941), University of Québec at Montréal. [slides] - Dec 8, 2006:
**Characterizations of finite and infinite episturmian words via lexicographic orderings**, LaCIM seminar series, LaCIM, University of Québec at Montréal (Canada). [slides] - May 24, 2006:
**Opportunities in Mathematics**, Forum for Level III Mathematics Students, School of Mathematical Sciences, The University of Adelaide.

**Conference & Workshop Talks**

**On the Stern-Brocot tree, continued fractions, and Lyndon words**, 41st Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (41ACCMCC), Rotorua, New Zealand, Dec 10-14, 2018. [abstract] [slides] [static slides]**On a generalisation of the Fibonacci word to an infinite alphabet**, 5th International Combinatorics Conference, Monash University, Melbourne, Dec 4-9, 2017. [abstract] [slides]**On Lyndon words containing the minimum number of Lyndon factors**, WIMSIG Conference 2017: Celebration of Women in Australian Mathematical Sciences, University of South Australia, Adelaide, Sept 24-26, 2017. [abstract] [slides]**On the number of palindromically rich words**, 59th Annual Meeting of the Australian Mathematical Society,*Flinders University*, Adelaide, South Australia, September 28 – October 1, 2015. [abstract] [proceedings] [slides]**Palindromically rich GT-words**, 38th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (38ACCMCC),*Victoria**University of Wellington*, New Zealand, December 1-5, 2014. [abstract] [proceedings] [slides]**A note on self-maximal numbers**, 37th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (37ACCMCC),*The University of Western Australia*, Perth, December 9-12, 2013. [abstract] [proceedings]**Total run length of a word**, Fields Workshop on Challenges in Combinatorics on Words,*Fields Institute*, Toronto, Canada, April 22-26, 2013. [open problems] [schedule]Outstanding Challenges in Combinatorics on Words,**On a generalisation of trapezoidal words,***Banff International Research Station*(BIRS), Banff Centre, Canada, February 19-24, 2012. [slides], Mini-Conference: Combinatorics, representations, and structure of Lie type (organised by Arun Ram, Lawrence Reeves, Craig Westerland), The University of Melbourne, Australia, February 16-17, 2012. [slides]**Combinatorics of Lyndon words****On a generalisation of trapezoidal words**, 35th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (35ACCMCC), Monash University, Melbourne, Australia, December 5-9, 2011. Files: [abstract] [slides]**Rich, Sturmian & trapezoidal words**, 54th Annual Conference of the Australian Mathematical Society,*Special session: Combinatorics*, The University of Queensland, Brisbane, Australia, Sept 27 – Oct 1, 2010.**On almost rich words**, Mini-Workshop: Combinatorics on Words,*Mathematisches Forschungsinstitut Oberwolfach*, Germany, August 22-28, 2010.**A new characteristic property of rich words**(with Michelangelo Bucci, Alessandro De Luca, Luca Q. Zamboni), 12èmes Journées Montoises d’Informatique Théorique (Mons, Belgium), August 27-30, 2008. [slides]**Order and quasiperiodicity in episturmian words**,*6th International Conference on Words*(Marseille, France), September 17-21, 2007. [ext. abs.] [slides]**A characterization of fine words over a finite alphabet**, CANT conference (Liege, Belgium), May 8-19, 2006. File: [slides]**Powers in a class of A-strict standard episturmian words**,*5th International Conference on Words*, Montreal (Quebec, Canada), September 13-17, 2005. Publications du LaCIM 36 (2005), 249-263. [slides]

**Seminars**

- Aug 27, 2009:
**Palindromic sequences in Number Theory**, Mathematics & Statistics Seminar series, School of Chemical & Mathematical Sciences, Murdoch University. [slides] - Nov 14, 2008:
**More on rich words**,*Combinatorics seminar series*, Reykjavík University, Iceland. - Jan 21, 2008:
**Markoff’s property and Christoffel words**, Algorithms and Complexity Group Seminar, University of Waterloo, Canada. - Oct 5, 2006:
**Characterizations of finite and infinite episturmian words via****lexicographic orderings**,*Number Theory Seminar*, School of Mathematical Sciences, The University of Adelaide. - Jun 15, 2006:
**Fine words over a finite alphabet**,*Postgraduate Seminar series*, School of Mathematical Sciences, The University of Adelaide. - April 28, 2006:
**Fine words over a finite alphabet**,*Number Theory Seminar series*, School of Mathematical Sciences, The University of Adelaide. - Aug 25, 2005:
**Powers in a class of A-strict standard episturmian words**,*Number Theory Seminar series*, School of Mathematical Sciences, The University of Adelaide. - Sep 2, 2004:
**Sturmian words, beta-shifts and transcendence (paper study)**,*Number Theory Seminar series*, School of Mathematical Sciences, The University of Adelaide. - Apr 29, 2004:
**Transcendence of Sturmian or morphic continued fractions (continued)**,*Number Theory seminar series*, School of Mathematical Sciences, The University of Adelaide. - Apr 22, 2004:
**Transcendence of Sturmian or morphic continued fractions (paper study)**,*Number Theory Seminar series*, School of Mathematical Sciences, The University of Adelaide. - Feb 27, 2004:
**Combinatorics on Sturmian words**, Major Review seminar, School of Mathematical Sciences, The University of Adelaide. - Aug 7, 2003:
**Standard sequences and characteristic words (continued)**,*Number Theory Seminar series*, School of Mathematical Sciences, The University of Adelaide. - Jul 31, 2003:
**Standard sequences and characteristic words (book study)**,*Number Theory Seminar series, School of Mathematical Sciences*, The University of Adelaide. - Sep 18, 2002:
**On the period length of pseudorandom number sequences**,*Honours seminar*, The University of Adelaide.