Below is a list of my past, present and future presentations arranged by year.
2024
| 127. | A question in aperiodic order for NSF Research Experiences for Undergraduates, Mathematics and Statistics Colloquium, California State University (Chico, CA), 3/8/2024. (Home Seminar)
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| 126. | Towards a classification of regular sequences, Mathematics and Statistics Colloquium, MacEwan University (Edmonton, Alberta, Canada), 1/10/2024. (Invited Talk)
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2023
| 125. | Irrational numbers related to the Thue-Morse sequence over powers, II, Pure Mathematics Seminar, California State University (Chico, CA), 11/8/2023. (Home Seminar)
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| 124. | Irrational numbers related to the Thue-Morse sequence over powers, I, Pure Mathematics Seminar, California State University (Chico, CA), 11/1/2023. (Home Seminar)
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| 123. | Towards a characterisation of regular sequences, Analytic Number Theory and Related Topics, RIMS, University of Kyoto (Kyoto, Japan), 11/10/2023. (Invited Talk)
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| 122. | Transcendence: Numbers versus Functions, Matheematics Colloquium, Hirosaki University (Hirosaki, Japan), 3/10/2023. (Invited Talk)
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| 121. | Some problems at the interface of number theory and aperiodic order, Aspects of Aperiodic Order, Mathematisches Forschungsinsitut Oberwolfach (Oberwolfach, Germany), 28/8/2023. (Invited Talk)
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| 120. | Algebraic aspects of partial logarithms, Pure Mathematics Seminar, California State University (Chico, CA), 4/12/2023. (Home Seminar)
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| 119. | What we talk about when we talk about sequences, Mathematics and Statistics Colloquium, California State University (Chico, CA), 24/2/2023. (Home Colloquium)
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2022
| 118. | Another variation of the Thue-Morse seqeunce, Pure Mathematics Seminar, California State University (Chico, CA), 4/10/2022. (Home Seminar)
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| 117. | A variation on the Thue-Morse seqeunce, Pure Mathematics Seminar, California State University (Chico, CA), 4/10/2022. (Home Seminar)
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| 116. | Correlations of the Thue-Morse seqeunce, Aperiodic Tilings--a meeting and mathematical art exhibition in honour of Uwe Grimm, Open University (Milton Keynes, UK), 28/6/2022. (Invited Talk)
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| 115. | A spectral theory of regular sequences, Mathematics Colloquium, Aarhus University (Denmark), 7/6/2022. (Invited Talk)
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| 114. | Spectral theory of regular sequences, The pursuit of symmetry: A conference in honour of the 80th birthday of Robert V.~Moody, Fields Institute (Toronto, Canada), 28/4/2022. (Invited Talk)
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| 113. | Measures associated to regular sequences and their characterisation, Diophantische Approximationen, Mathematisches Forschungsinsitut Oberwolfach (Oberwolfach, Germany), 18/4/2022. (Invited Talk)
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| 112. | Measure-theoretic and fractal geometric approaches to finitely-generated matrix semigroups, Applied Mathematics Seminar, Bauhaus University (Weimar, Germany), 24/3/2022. (Invited Talk)
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| 111. | A spectral theory of regular sequences, One World Numeration Seminar, https://www.irif.fr/~numeration/OWNS (Online), 8/3/2022. (Invited Talk)
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| 110. | Ergodicity and spectral purity of ghost measures, Mini-Symposium on Dynamical Systems and Spectral Theory, Univ. of Bielefeld (Germany), 21/2/2022. (Invited Talk)
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| 109. | Patterns, in progress: a regular mathematical journal, Mathematics Colloquium, California State University, Chico (California, USA), 10/2/2022. (Invited Talk)
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| 108. | A spectral theory of regular sequences, Aperiodic Order Seminar, University of Bielefeld (Bielefeld, Germany), 14/1/2022. (Invited Talk)
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2020
| 107. | Fractal aspects of regular sequences: a paradigm in progress, Number Theory Down Under VIII (Melbourne, VIC), 7/10/2020. (Plenary Address)
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| 106. | Some curious infinite products, University of New South Wales Number Theory Seminar (Sydney, NSW), 4/3/2020. (Invited Seminar)
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| 105. | Some curious infinite products, Mathematics Colloquium, University of Tasmania (Hobart, TAS), 19/02/2020. (Invited Colloquium)
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2019
| 104. | Integer sequences, asymptotics and diffraction, Symmetry in Newcastle, University of Newcastle (Callaghan, NSW), 6/9/2019. (Home Seminar)
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| 103. | Integer sequences, asymptotics and diffraction, Pure Mathematics Seminar, University of New South Wales (Sydney, NSW), 16/7/2019. (Invited Talk)
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| 102. | A diffraction abstraction distraction, Ergodic Theory, Diophantine Approximation and Related Topics, MATRIX, University of Melbourne (Creswick, VIC), 21/6/2019. (Invited Talk)
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| 101. | Scaling of the diffraction measure of \(k\)-free integers, Dynamics and Number Theory, University of Sydney (Sydney, NSW), 14/6/2019. (Keynote Address)
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| 100. | Mahler's methods: theorems, speculations and variations, CARMA Colloquium, University of Newcastle (Newcastle, NSW), 14/3/2019. (Home Colloquium)
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| 99. | Pi, an irrational love story, Newcastle Maths Students Society, University of Newcastle (Newcastle, NSW), 14/3/2019. (Invited Pi-Day talk)
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2018
| 98. | Mahler's methods: theorems, speculations and variations, Informal Workshop on Aperiodic Order, University of Bielfeld (Bielefeld, Germany), 8/12/2018. (Specialised Conference Talk)
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| 97. | Mahler's methods: theorems, speculations and variations, Mathematics Colloquium, Hochschule für Technik Stuttgart (Stuttgart, Germany), 29/11/2018. (Invited Colloquium)
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| 96. | Mahler's methods: theorems, speculations and variations, Pure Mathematics Colloquium, University of Waterloo (Waterloo, Canada), 5/11/2018. (Invited Colloquium)
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| 95. | Stern measures: something more must be done!, Number Theory Seminar, University of York (York, United Kingdom), 17/10/2018. (Invited Talk)
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| 94. | One regular problem, Forschungsschwerpunkt Mathematische Modellierung Seminar, University of Bielefeld (Bielefeld, Germany), 21/9/2018. (Invited Talk)
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| 93. | Two regular problems, Diophantine approximation and transcendence, CIRM (Luminy, France), 14/9/2018. (Invited Talk)
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| 92. | A regular journey at the interface of number theory and computer science, Mathematics Colloquium, University of Bielefeld (Bielefeld, Germany), 24/5/2018. (Invited Colloquium)
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| 91. | Regular sequences via a paradigmatic example, Number Theory Seminar, University of Lorraine (Nancy, France), 17/5/2018. (Invited Seminar)
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| 90. | Automatic sequences and Mahler's measure, Workshop on Words and Complexity, University of Lyon (Lyon, France), 21/2/2018. (Invited Talk) Slides available from the conference webpage.
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2017
| 89. | 2-automatic sequences, Lyapunov exponents and a dynamical analogue of Lehmer's Mahler measure problem, Denmark-Australia Diophantine Approximation Day, University of Aarhus (Aarhus, Denmark), 8/12/2017. (Invited Talk, 60 min.)
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| 88. | 2-automatic sequences, Lyapunov exponents and a dynamical analogue of Lehmer's Mahler measure problem, Seminar "Computations and Proofs" at SpecFun, INRIA (Paris, France), 20/11/2017. (Invited Talk, 60 min.)
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| 87. | Binary substitutions of constant length and Mahler measures of Borwein polynomials, Jonathan M. Borwein Commemorative Conference (Newcastle, NSW), 26/9/2017. (Invited Talk, 30 min.)
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| 86. | A problematic excursion at the interface of number theory and analysis, Diophantine Approximation and Algebraic Curves at BIRS (Banff, AB), 3/7/2017. (Specialised Conference Talk, 25 min.)
Video courtesy of the Banff International Research Station |
| 85. | Variations on a theme of Mahler, University of Leiden Algebra and Number Theory Seminar (Leiden, Netherlands), 13/2/2017. (Invited Seminar, 60 min.) |
2016
| 84. | An analytic view of transcendence, University of New South Wales Number Theory Seminar (Sydney, NSW), 5/10/2016. (Invited Seminar, 60 min.) |
| 83. | The Erdős discrepancy problem, Discrete Mathematics Seminar, University of Newcastle (Callaghan, NSW), 30/3/2016. (Seminar Talk, 50 min.) |
| 82. | Minimal growth of some structured \(\pm\)1-sequences, Discrete Mathematics Seminar, University of Newcastle (Callaghan, NSW), 16/3/2016. (Seminar Talk, 50 min.) |
2015
| 81. | The benefits of a regular outlook, CARMA Number Theory Seminar (Callaghan, NSW), 20/10/2015. (Home Seminar Talk, 50 min.) |
| 80. | Asypmtotics of Mahler functions, The Geometry, Algebra and Analysis of Algebraic Numbers at BIRS (Banff, AB), 4/10/2015. (Specialised Conference Talk, 25 min.) |
| 79. | Radial asypmtotics and algebraic independence in Mahler's method, Applied Mathematics, Modeling and Computational Science Conference AMMCS-CAIMS 2015 (Waterloo, ON), 12/6/2015. (Invited Talk in Special Session, 20 min.) |
| 78. | Algebraic independence results related to an automatic sequence, CMS Summer Meeting (Charlottetown, PEI), 8/6/2015. (Specialised Conference Talk, 25 min.) |
| 77. | Hypertranscendence of Stern's function, Dalhousie Univresity Number Theory Seminar (Halifax, NS), 1/6/2015. (Invited Seminar, 50 min.) |
| 76. | Algebraic independence results related to an automatic sequence, Workshop on Automatic Sequences, Université de Liège (Liège, Belguim), 26/5/2015. (Specialised Conference Talk, 25 min.) |
| 75. | Randomness in digital expansions of real numbers, or not, MSI Number Theory Seminar, ANU (Canberra, ACT), 12/5/2015. (Invited Seminar, 50 min.) |
| 74. | Variations on a theme of Mahler, Maths Colloquium, University of Wollongong (Wollongong, NSW), 8/5/2015. (Colloquium, 60 min.) |
| 73. | Variations on a theme of Mahler, MSI Colloquium, ANU (Canberra, ACT), 7/5/2015. (Colloquium, 60 min.) |
| 72. | A function related to Mahler's method, Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems, UNSW (Sydney, NSW), 3/2/2015. (Specialised Conference Talk, 25 min.) |
2014
| 71. | Growth degree classification for regular sequences, Number Theory Down Under II (Newcastle, NSW), 25/10/2014. (Specialised Conference Talk, 25 min.) |
| 70. | From rational to regular, Victorian Algebra Conference, Monash University (Melbourne, VIC), 3/10/2014. (Specialised Conference Talk, 25 min.) |
| 69. | Variations on a theme of Mahler, CARMA Colloquium (Newcastle, NSW), 25/9/2014. (Home Colloquium, 60 min.) |
| 68. | Variations on a theme of Mahler, University of New South Wales Number Theory Seminar (Sydney, NSW), 10/9/2014. (Invited Seminar, 60 min.) |
| 67. | Research at CARMA, CARMA Retreat 2014 (Newcastle, NSW), 30/8/2014. (Invited Talk, 60 min.) |
| 66. | My life in $mathmode$, Australian Mathematical Sciences Student Conference (Newcastle, NSW), 2/7/2014. (Invited Talk, 50 min.) |
| 65. | Growth and gaps in regular sequences, Canadian Number Theory Association XIII Meeting (Ottawa, ON), 17/6/2014. (Contributed Talk, 15 min.) |
| 64. | Growth and gaps in regular sequences, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 11/6/2014. (Invited Talk, 50 min.) |
| 63. | Transcendence and algebraic independence of regular functions, Number Theory Nosh, University of Calgary (Calgary, AB), 3/6/2014. (Invited Talk, 30 min.) |
| 62. | Diophantine approximation: automatic numbers and their generalisations, University of Montana Colloquium (Missoula, MT), 21/5/2014. (Colloquium, 60 min.) |
| 61. | Growth and gaps in regular sequences, Pacific Northwest Number Theory Conference (Burnaby, BC), 17/5/2014. (Invited Talk, 30 min.) |
2013
| 60. | Mind the gap, Victorian Algebra Conference, University of Melbourne (Melbourne, VIC), 29/11/2013. (Specialised Conference Talk, 25 min.) |
| 59. | Mahler and me, a one-sided love story, Australian Mathematical Society Early Career Workshop (Blue Mountain, NSW), 29/9/2013. (Invited Talk, 30 min.) |
| 58. | Mahler's Method, digital expansions, and algebraic numbers (or not), Joint UBC--SFU Number Theory Seminar (Burnaby, BC), 26/9/2013. (Invited Talk, 50 min.) |
| 57. | Un pas de Mahler (pas de malheur, hein?), CARMA Retreat 2013 (Newcastle, NSW), 17/8/2013. (Invited Talk, 15 min.) |
| 56. | Automatic for the people! (if you're a number theorist), University of Newcastle Mathematics Taster Talks (Callaghan, NSW), 8/8/2013. (Talk, 15 min.) |
| 55. | Mahler's method: an introspective retrospective, University of Queensland Colloquium (Brisbane, QLD), 27/5/2013. (Invited Colloquium, 45 min.) |
| 54. | Arithmetic and Diophantine properties of low-complexity numbers, University of Melbourne Number Theory and Algebra Seminar (Melbourne, VIC), 22/3/2013. (Invited Talk, 60 min.) |
| 53. | An arithmetic excursion via Stoneham numbers, Monash University Colloquium (Melbourne, VIC), 21/3/2013. (Invited Colloquium, 60 min.) |
2012
| 52. | The rational-transcendental dichotomy of Mahler functions, Optimisation, Analysis and Number Theory Seminar, CARMA (Callaghan, NSW), 15/10/2012. (Talk, 50 min.) |
| 51. | A hierarchy of complexity in the context of Mahler's method, CARMA Retreat 2012 (Newcastle East, NSW), 18/8/2012. (Invited Talk, 15 min.) |
| 50. | A functional introduction to Mahler's method, CARMA Colloquium (Callaghan, NSW), 9/8/2012. (Invited Talk, 50 min.) |
| 49. | A hierarchy of complexity in the context of Mahler's method, Canadian Number Theory Association XII Meeting (Lethbridge, AB), 17/6/2012. (Contributed Talk, 15 min.) |
| 48. | On a theorem of Randé, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 13/6/2012. (Talk, 50 min.) |
| 47. | The rational-transcendental dichotomy of Mahler functions, CMS Summer Meeting (Regina, SK), 3/6/2012. (Invited Talk, 30 min.) |
| 46. | Rational approximation of Mahler numbers, University of Newcastle Colloquium (Newcastle, NSW), 23/4/2012. (Invited talk, 50 min.) |
| 45. | Diophantine approximation of Mahler numbers, University of Lethbridge Colloquium (Lethbridge, AB), 10/4/2012. (Invited Special Colloquium, 50 min.) |
| 44. | Rational approximations of regular numbers, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 4/4/2012. (Talk, 50 min.) |
| 43. | Diophantine approximation: automatic numbers and their generalizations, Institute of Science and Technology (IST) Austria Colloquium (Klosterneuburg, Austria), 23/2/2012. (Invited Colloquium, 45 min.) |
| 42. | Diophantine approximation: automatic numbers and their generalizations, State University of New York Colloquium (New Paltz), 14/2/2012. (Invited Colloquium, 50 min.) |
| 41. | Diophantine approximation: automatic numbers and their generalizations, University of Waterloo Number Theory Seminar (Waterloo, ON), 2/2/2012. (Talk, 60 min.) |
| 40. | Some problems and results concerning Stern's diatomic sequence, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 18/1/2012. (Talk, 50 min.) |
| 39. | An irrationality measure for Mahler numbers, AMS-MAA Joint Mathematical Meetings (Boston, MA), 6/1/2012. (Invited Talk in Special Session, 30 min.) |
2011
| 38. | An irrationality measure for Mahler numbers, CMS Winter Meeting (Toronto, ON), 11/12/2011. (Invited Talk in Special Session, 30 min.) |
| 37. | New proof of a theorem of Nishioka, University of Toronto Number Theory Seminar (Toronto, ON), 9/11/2011. (Talk, 50 min.) |
| 36. | New proof of a theorem of Nishioka, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 7/11/2011. (Talk, 50 min.) |
| 35. | Some problems and results concerning Stern's diatomic sequence, Applied Mathematics, Modeling and Computational Science Conference AMMCS-2011 (Waterloo, ON), 27/7/2011. (Invited Talk in Special Session, 30 min.) |
| 34. | Rational approximation of automatic and regular numbers II, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 20/6/2011. (Talk, 50 min.) |
| 33. | An irrationality exponent related to Fermat numbers, CMS Summer Meeting (Edmonton, AB), 5/6/2011. (Invited Talk in Special Session, 30 min.) |
| 32. | Traversing transcendence: irrationality measures for the rationally minded, University of Lethbridge Colloquium (Lethbridge, AB), 21/4/2011. (Invited Colloquium, 50 min.) |
| 31. | On the rational approximation of ruler numbers, University of Waterloo Number Theory Seminar (Waterloo, ON), 24/3/2011. (Talk, 60 min.) |
| 30. | Rational approximation of automatic and regular numbers I, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 4/3/2011. (Talk, 50 min.) |
2010
| 29. | On the distribution of \(\Omega(n)\) modulo \(m\), Seventh Midwest Number Theory Conference for Graduate Students and Recent PhDs (Ann Arbor, MI), 13/11/2010. (Talk, 20 min.) |
| 28. | The automatic muliplicative Erdős discrepancy problem, University of Waterloo (Computer Science) Formal languages and automata seminar (Waterloo, ON), 5/11/2010. (Talk, 50 min.) |
| 27. | Multiplicative functions and the rational--transcendental dichotomy, University of Waterloo Colloquium (Waterloo, ON), 25/10/2010. (Colloquium, 50 min.) |
| 26. | Multiplicative functions, transcendence, and automaticity, University of Lethbridge Number Theory and Combinatorics Seminar (Lethbridge, AB), 22/7/2010. (Invited Talk, 50 min.) |
| 25. | Multiplicative functions and automaticity, Canadian Number Theory Association XI Meeting (Wolfville, NS), 13/7/2010. (Contributed Talk, 15 min.) |
| 24. | The Erdős discrepancy problem, Pacific Northwest Number Theory Conference (Burnaby, BC), 9/5/2010. (Talk, 30 min.) |
2009
| 23. | The residue class distribution of \(\Omega(n)\), CMS Winter Meeting (Windsor, ON), 7/12/2009. (Invited Talk in Special Session, 30 min.) |
| 22. | Some problems and results concerning multiplicative functions, University of Waterloo Number Theory Seminar (Waterloo, ON), 19/11/2009. (Talk, 60 min.) |
| 21. | (Non)automaticity of number--theoretic functions, McMaster University Number Theory Seminar (Hamilton, ON), 12/11/2009. (Invited Talk, 60 min.) |
| 20. | The Riemann hypothesis: celebrating 150-\(\varepsilon\) years, Fields Institute Postdoctoral Seminar Series (Toronto, ON), 9/11/2009 the 150th anniversary of Riemann's memoir. (Talk, 60 min.) |
| 19. | Multiplicative functions and transcendence, AMS Eastern Sectional Meeting at Penn State (State College, PA), 24/10/2009. (Special Session Talk, 30 min.) |
| 18. | Parity, primes, and zeta--functions, SFU Mathematics Graduate Research Seminar (Burnaby, BC), 10/2/2009. (Talk, 30 min.) |
| 17. | Transcendence and functional equations, Joint UBC--SFU Number Theory Seminar (Burnaby, BC), 15/1/2009. (Talk, 60 min.) |
2008
| 16. | (Non)automaticity of number--theoretic functions, Joint UBC--SFU Number Theory Seminar (Burnaby, BC), 9/10/2008. (Talk, 60 min.) |
| 15. | Transcendence of various numbers and series, Canadian Number Theory Association X Meeting (Waterloo, ON), 17/7/2008. (Contributed Talk, 15 min.) |
| 14. | Some Properties of Completely Multiplicative Signatures, Second Canada--France Congress (Montréal, QC), 4/6/2008. (Special Session Talk, 30 min.) |
| 13. | Sums of completely multiplicative signature functions, The Mathematical Interests of Peter Borwein Conference (Burnaby, BC), 15/5/2008. (Invited Talk, 30 min.) |
2007
| 12. | A density--residue theorem, Pure Math Graduate Student Conference (Burnaby, BC), 12/10/2007. (Talk, 25 min.) |
| 11. | A General Result on Conditionally Convergent Series, SFU Mathematics Graduate Research Seminar (Burnaby, BC), 9/10/2007. (Talk, 30 min.) |
| 10. | On the density of integers bi--representable as the sum of two cubes, CECM Summer Meeting (Burnaby, BC), 8/8/2007. (Poster, Second Prize in Poster Competition) |
| 9. | The Wonderful World of Primes, CMS--PIMS Summer Math Camp (Burnaby, BC), 5/7/2007. (Invited Talk, 90 min.) |
| 8. | On the density of integers bi-representable as the sum of two cubes, CMS--MITACS Joint Conference (Winnipeg, MB), 31/5/2007. (Poster) |
| 7. | A "Cubic" Excursion in Additive Number Theory, Western Canadian Conference for Young Researchers in Mathematics (Calgary, AB), 5/5/2007. (Talk, 30 min.) |
| 6. | Sequences and Divergent Series, SFU Mathematics Graduate Research Seminar (Burnaby, BC), 8/2/2007. (Talk, 30 min.) |
2006
| 5. | General Moment Theorems for Non--Distinct Unrestricted Partitions, Joint UBC--SFU Number Theory Seminar (Burnaby, BC), 19/10/2006. (Talk, 60 min.) |
| 4. | The Emergence of Modern Number Theory in Hungary, Hungarian Fulbright Student Conference (Budapest, Hungary), 21/4/2006. (Talk, 30 min.) |
2005
| 3. | On the Number of Partitions of an Integer as a Sum of Summands of a General Spectrum, MAA Texas Section (Arlington, TX), 15/4/2005. (Talk, 15 min.) |
2003
| 2. | Mathematics of the Heart: Producing Left--Ventricular Pressure--Volume Loops using Cubic Spline Functions, Montana Academy of Sciences (Missoula, MT), 26/5/2003. (Talk, 20 min.) |
| 1. | Cordae Tendinae and Contractility in Sheep, University of Montana Conference for Undergraduate Research (Missoula, MT), 5/5/2003. (Poster) |
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