Journal Article: k-Lehmer and k-Carmichael numbers
Lewis, Max and Scharaschkin, Victor (2016) k-Lehmer and k-Carmichael numbers. Integers: electronic journal of combinatorial number theory, 16 A80: 1-13.
Journal Article: On factorisations of complete graphs into circulant graphs and the Oberwolfach problem
Alspach, Brian, Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2016) On factorisations of complete graphs into circulant graphs and the Oberwolfach problem. Ars Mathematica Contemporanea, 11 1: 157-173.
Journal Article: A mathematics support programme for first-year engineering students
Hillock, Poh Wah, Jennings, Michael, Roberts, Anthony and Scharaschkin, Victor (2013) A mathematics support programme for first-year engineering students. International Journal of Mathematical Education in Science and Technology, 44 7: 1030-1044. doi:10.1080/0020739X.2013.823251
A new enabling technology for learning and teaching quantitative skills
(2006–2008) Carrick Competitive Grants
Rational Points and the ABC Conjecture
(2004) UQ Early Career Researcher
Perfect Triangles : Rational points on Elliptic Curves
(2017) Doctor Philosophy
Carmichael numbers and algebraic groups
Doctor Philosophy
Arithmetic of Affine Algebraic Groups from Norm Forms in Quadratic and Cubic Fields
(2013) Doctor Philosophy
Descent on simply connected surfaces over algebraic number fields
Raskind, W. and Scharaschkin, V. (2003). Descent on simply connected surfaces over algebraic number fields. In B. Poonen and Y. Tschinkel (Ed.), Arithmetic of Higher Dimensional Algebraic Varieties. Progress in Mathematics, Vol 226 1st ed. (pp. 185-204) New York: Birkhauser/Springer Verlag.
k-Lehmer and k-Carmichael numbers
Lewis, Max and Scharaschkin, Victor (2016) k-Lehmer and k-Carmichael numbers. Integers: electronic journal of combinatorial number theory, 16 A80: 1-13.
On factorisations of complete graphs into circulant graphs and the Oberwolfach problem
Alspach, Brian, Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2016) On factorisations of complete graphs into circulant graphs and the Oberwolfach problem. Ars Mathematica Contemporanea, 11 1: 157-173.
A mathematics support programme for first-year engineering students
Hillock, Poh Wah, Jennings, Michael, Roberts, Anthony and Scharaschkin, Victor (2013) A mathematics support programme for first-year engineering students. International Journal of Mathematical Education in Science and Technology, 44 7: 1030-1044. doi:10.1080/0020739X.2013.823251
Pell conics and quadratic reciprocity
Hambleton, S. and Scharaschkin, V. (2012) Pell conics and quadratic reciprocity. Rocky Mountain Journal of Mathematics, 42 1: 91-96. doi:10.1216/RMJ-2012-42-1-91
On the non-existence of pair covering designs with at least as many points as blocks
Bryant, Darryn, Buchanan, Melinda, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2011) On the non-existence of pair covering designs with at least as many points as blocks. Combinatorica, 31 5: 507-528. doi:10.1007/s00493-011-2639-y
The odd and even intersection properties
Victor Scharaschkin (2011) The odd and even intersection properties. The Electronic Journal of Combinatorics, 18 1: 1-8.
Quadratic reciprocity via resultants
Hambleton, S. and Scharaschkin, V. (2010) Quadratic reciprocity via resultants. International Journal of Number Theory, 6 6: 1413-1417. doi:10.1142/S179304211000354X
Complete solutions to the Oberwolfach problem for an infinite set of orders
Bryant, Darryn and Scharaschkin, Victor (2009) Complete solutions to the Oberwolfach problem for an infinite set of orders. Journal of Combinatorial Theory, Series B, 99 6: 904-918. doi:10.1016/j.jctb.2009.03.003
Assessment of an innovative system of lecture notes in first-year mathematics
Tonkes, E. J., Isaac, P. S. and Scharaschkin, V. (2009) Assessment of an innovative system of lecture notes in first-year mathematics. International Journal of Mathematical Education in Science and Technology, 40 4: 495-504. doi:10.1080/00207390902759592
On the Brauer-Manin obstruction for zero-cycles on curves
Eriksson, Dennis and Scharaschkin, Victor (2008) On the Brauer-Manin obstruction for zero-cycles on curves. Acta Arithmetica, 135 2: 99-110. doi:10.4064/aa135-2-1
The Hasse Principle module nth powers
Scharaschkin, V (1999) The Hasse Principle module nth powers. Acta Arithmetica, 87 3: 269-285.
Descent on simply connected surfaces over algebraic number fields
Raskind, W and Scharaschkin, V (2004). Descent on simply connected surfaces over algebraic number fields. In: Arithmetic of Higher-Dimensional Algebraic Varieties. Workshop on Rational and Integral Points on Higher-Dimensional Varieties, Palo Alto Ca, (185-204). Dec 11-20, 2002.
A new enabling technology for learning and teaching quantitative skills
(2006–2008) Carrick Competitive Grants
Rational Points and the ABC Conjecture
(2004) UQ Early Career Researcher
Carmichael numbers and algebraic groups
Doctor Philosophy — Principal Advisor
Perfect Triangles : Rational points on Elliptic Curves
(2017) Doctor Philosophy — Principal Advisor
Other advisors:
Arithmetic of Affine Algebraic Groups from Norm Forms in Quadratic and Cubic Fields
(2013) Doctor Philosophy — Principal Advisor
On the number field sieve: polynomial selection and smooth elements in number fields
(2013) Doctor Philosophy — Principal Advisor
AN OUTLINE OF THE FLYNN-CHABAUTY METHOD FOR CURVES OF GENUS 2
(2006) Master Philosophy — Principal Advisor