- Pure Mathematics
- Computer Science
- Astronomy
- Mathematics and Art
- Mathematics in Politics
- Mathematics Education

- Helmer Aslaksen,
*SO(2) invariants of a set of 2x2 matrices,*Mathematica Scandinavica**65**(1989), 59-66. MR 91d: 15010, Zbl 0679.15029. - Helmer Aslaksen,
*Laws of trigonometry on SU(3),*Transactions of the American Mathematical Society**317**(1990), 127-142. MR 90d: 53047, Zbl 0695.53037, JSTOR. - Helmer Aslaksen,
*Restricted homogeneous coordinates for the Cayley projective plane,*Geometriae Dedicata**40**(1991), 245-250. MR 92h: 51003, Zbl 0758.51001, SpringerLink. - Helmer Aslaksen, Terje Wahl and Tore Wentzel-Larsen,
*Root multiplicities and ideals in quasisimple Lie algebras,*Mathematica Scandinavica**73**(1993), 15-20. MR 95a: 17011, Zbl 0792.17020. - Helmer Aslaksen,
*Determining summands in tensor products of Lie algebra representations,*Journal of Pure and Applied Algebra**93**(1994), 135-146. MR 95b: 17008, Zbl 0815.17006, ScienceDirect. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*Generators and relations of invariants of 2x2 matrices,*Communications in Algebra**22**(1994), 1821-1832. MR 95c: 15061, Zbl 0813.16015. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*Quivers and the invariant theory of Levi subgroups,*Journal of Functional Analysis**120**(1994), 163-187. MR 94k: 16023, Zbl 0817.22008, ScienceDirect. - Helmer Aslaksen and Eng-Chye Tan,
*Generic 2x2 matrices with involution,*Manuscripta Mathematica**83**(1994), 365-385. MR 95c: 16030, Zbl 0814.16019. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*Free resolutions of generic symmetric matrices,*Linear Algebra and its Applications**230**(1995), 21-34. MR 96h: 13032, Zbl 0840.13001, ScienceDirect. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*Invariant theory of special orthogonal groups,*Pacific Journal of Mathematics**168**(1995), 207-215. (There was a typo in the printed version. This version is corrected.) MR 96f: 13004, Zbl 0830.15027, Project Euclid. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*On certain rings of highest weight vectors,*Journal of Algebra**174**(1995), 159-186. MR 96h: 13011, Zbl 0828.22019, ScienceDirect. - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*On O*“Symmetries in Science VIII”, B. Gruber (ed.), Plenum Press, 1995, 1-11. MR 97a: 13009, Zbl 0919.22005._{m}x GL_{n}highest weight vectors, - Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu,
*Invariant theory of matrices,*“Symmetries in Science VIII”, B. Gruber (ed.), Plenum Press, 1995, 13-19. MR 96m: 16033, Zbl 0930.16013. - Helmer Aslaksen, Shih-Ping Chan and Tor Gulliksen,
*Invariants of S*Applicable Algebra in Engineering, Communication and Computing_{4}and the shape of sets of vectors,**7**(1996), 53-57. MR 98g: 13004, Zbl 0849.20007, SpringerLink. - Helmer Aslaksen,
*Quaternionic determinants,*The Mathematical Intelligencer**18**(1996), no. 3, 56-65. MR 97j: 16028, Zbl 0881.15007. (Reprinted in “Mathematical Conversation: Selections from The Mathematical Intelligencer”, Robin Williams and Jeremy Gray (eds.), Springer-Verlag, 2001, 142-156. Japanese translation Springer-Verlag Japan, 2003, 187-209.) - Helmer Aslaksen and Hsueh-Ling Huynh,
*Laws of trigonometry in symmetric spaces,*“Geometry from the Pacific Rim”, A. J. Berrick et al (eds.), Walter de Gruyter, 1997, 23-36. MR 98j: 53057, Zbl 0891.53034. - Helmer Aslaksen, Soo Teck Lee and Judith Packer,
*K-theory for the integer Heisenberg groups,*K-theory**16**(1999), 201-227. MR 2000m: 19011, Zbl 0917.19003, SpringerLink. - Helmer Aslaksen,
*Quaternionic determinants,*“Mathematical Conversation: Selections from The Mathematical Intelligencer”, Robin Williams and Jeremy Gray (eds.), Springer-Verlag, 2001, 142-156. MR 2001f: 00040, Zbl 0963.01012. - Helmer Aslaksen,
*Quaternionic determinants,*“Mathematical Conversation: Selections from The Mathematical Intelligencer” (Japanese translation), Robin Williams and Jeremy Gray (eds.), Springer-Verlag Japan, 2003, 187-209. - Helmer Aslaksen and Mong Lung Lang,
*Extending π-systems to bases of root systems,*Journal of Algebra**287**(2005), 496-500. (There was a typo in the printed version. This version is corrected.) MR 2005k:17008, Zbl 1128.17007, Science Direct. - Helmer Aslaksen, Vesselin Drensky and Liliya Sadikova,
*Defining relations of invariants of two 3 x 3 matrices,*Comptes rendus de l'Académie bulgare des Sciences,**58**(2005), 617-622. MR 2006b:16034, Zbl 1076.16019. - Helmer Aslaksen, Vesselin Drensky and Liliya Sadikova,
*Defining relations of invariants of two 3 x 3 matrices,*Journal of Algebra**298**(2006), 41-57. MR 2007b:16049, Zbl 1100.16019, Science Direct. - Helmer Aslaksen and Arne B. Sletsjøe,
*Generators of matrix algebras in dimension 2 and 3,*Linear Algebra and its Applications.**430**(2009), 1-6. MR 2009k:16049, ScienceDirect.

- Helmer Aslaksen,
*Ten TeX tricks for the mathematician,*TUGboat, Communications of the TeX Users Group**14**(1993), 135-136. - Helmer Aslaksen,
*Multiple-valued complex functions and computer algebra,*ACM SIGSAM Bull.**30**(1996), 12-20. Zbl pre02096156. - Helmer Aslaksen,
*Can your computer do complex analysis?,*“Computer Algebra Systems: A Practical Guide”, M. Wester (ed.), John Wiley 1999, 73-78. Zbl 0924.68102. - Helmer Aslaksen,
*Chinese TeX: Using the CJK LaTeX Package, Unicode TrueType Fonts and PDFTeX under Windows,*The PracTeX Journal**2**(2006), no. 1. - Helmer, Aslaksen, SHI Fangying, ZHANG Mengshi, Enumerating 9x9 Sudoku Grids, Proceedings of the 14th Youth Science Conference, Ministry of Education, Singapore, 2008.

- Akmal bin Abd. Rahman, Amit Jain and Helmer Aslaksen,
*Astronomy and calendars,*“Proceedings of the First Youth Science Conference 1995 Singapore”, Ministry of Education, Singapore, 1995, 129-132. ISBN 981-00-6735-6. - Helmer Aslaksen,
*The mathematics of the Chinese calendar,*preprint, National University of Singapore, 1999. - Helmer Aslaksen and Veronica Chin Hei Ting,
*The Mathematics of the Chinese Calendar,*“Proceedings of Science Research Congress 1999 Singapore”, ISSN 0218-4869. - Helmer Aslaksen,
*Fake leap months in the Chinese calendar: From the Jesuits to 2033,*“Historical Perspectives on East Asian Science, Technology and Medicine”, Alan K.L. Chan, Gregory K. Clancey and Hui-Chieh Loy (eds.), Singapore University Press/World Scientific, 2002, 387-393. - Helmer Aslaksen,
*When is Chinese New Year?,*Griffith Observer**66**(2002), no. 2 (February), 1-17. - Helmer Aslaksen,
*Når faller kinesisk nyttår?,*(Norwegian, When is Chinese New Year?), Normat (Nordisk matematisk tidskrift)**51**(2003), no. 3, 132-141. Zbl 1034.01005. - Helmer Aslaksen,
*Heavenly Mathematics and Cultural Astronomy: A Course at the National University of Singapore,*“Mathematics and Astronomy: A Joint Long Journey, Proceedings of the International Conference Madrid, Spain 23-27 November 2009”, Manuel de León, David Martín de Diego, Rosa María Ros (eds.), AIP Conference Proceedings, 1283, American Institute of Physics, 2010, 124-127. - Helmer Aslaksen,
*Heavenly Mathematics: Observing the Sun and the Moon from Different Parts of the World,*“Expeditions in Mathematics”, Tatiana Shubin, David F. Hayes, and Gerald L. Alexanderson (eds.), MAA Spectrum, Mathematical Association of America, 2011, 233-248.

- Helmer Aslaksen,
*Book review of Claude P. Bruter (ed.), Mathematics and Art: Mathematical Visualization in Art and Education,*Mathematical Intelligencer**25**(2003), no. 4, 83-84. - Helmer Aslaksen,
*Book review of Doris Schattschneider and Michele Emmer (eds.), M.C. Escher’s Legacy: A Centennial Celebration,*Mathematical Intelligencer**26**(2004), no. 3, 73-74. - Helmer Aslaksen,
*A Contrarian View of Teaching Mathematics and Art,*“Art+Math=X”, Carla Farsi (ed.), University of Colorado, Boulder, 2005, 1-4. - Helmer Aslaksen,
*Book review of The Curious Incident of the Dog in the Night-time by Mark Haddon,*Notices of the American Mathematical Society**53**(2006), no. 3, 343-345. AMS. - Helmer Aslaksen,
*In search of Demiregular Tilings,*“Bridges London, Mathematical Connections in Art, Music and Science”, Reza Sarhangi and John Sharp (eds.), Tarquin Publications, 2006, 533-536.

- Helmer Aslaksen and Gary McGuire,
*Mathematical Aspects of Irish Elections,*Irish Mathematics Teachers Association Newsletter**105**(2006), 40-59.

- Helmer Aslaksen,
*Math is not a spectator sport,*“Teaching of Science at Tertiary Level”, M. A. Karolewski and Y. M. Teo (eds.), Faculty of Science, National University of Singapore, 1991, 62-63. ISBN 9971-62-273-4. - Helmer Aslaksen,
*Some thoughts about the use of computer algebra systems in university teaching,*“Innovative Use of Technology for Teaching & Research in Mathematics, Proceedings of the First Asian Technology Conference in Mathematics 1995 Singapore”, Association of Mathematics Educators, Singapore, 1995, 81-84. ISBN 981-3025-06-9. - Helmer Aslaksen,
*Is IT it?,*CDTLBrief, Centre for Development of Teaching and Learning, National University of Singapore,**2**(1999), no. 2, p. 6. - Helmer Aslaksen,
*The emperor's new web,*“Reflections on Teaching”, Centre for Development of Teaching and Learning, National University of Singapore, 1999, p. 115. - Helmer Aslaksen,
*Using an electronic discussion forum in teaching,*“Proceedings of the First Symposium on Teaching & Learning in Higher Education”, C. M. Wang et al (eds.), Centre for Development of Teaching and Learning, National University of Singapore, 2000, 419-420. - Helmer Aslaksen and Ng Kah Loon,
*The Graduate Tutor Training Workshop in the Department of Mathematics,*CDTLBrief, Centre for Development of Teaching and Learning, National University of Singapore,**6**(2003), no. 6, 11-12. - Helmer Aslaksen,
*Why do we give lectures?,*Ideas on Teaching, Centre for Development of Teaching and Learning, National University of Singapore,**2**(2003), 40-41. - Helmer Aslaksen,
*The Joy of GEM,*CDTLBrief, Centre for Development of Teaching and Learning, National University of Singapore,**7**(2004), no. 9, 2-4. - Helmer Aslaksen,
*“Heavenly Mathematics: Cultural Astronomy” and “Mathematics in Art and Architecture”: Two general education courses at the National University of Singapore,*“Relations between mathematics and other subjects of science or art, Proceedings of Topic Study Group 21 at ICME-10, The 10th International Congress on Mathematics Education, Copenhagen, Denmark, 2004”, Marta Anaya and Claus Michelsen (eds.), Department of Mathematics and Computer Science, University of Southern Denmark, 2005, 44-50. - Helmer Aslaksen,
*Teaching “Heavenly Mathematics: Cultural Astronomy” and “Mathematics in Art and Architecture”*, “Proceedings of the International Conference of Education, 2005”, Francis E.H. Tay, Tay Seng Chuan, Shen Han-Ming (eds.), National University of Singapore, 2005, 498-501. - Helmer Aslaksen and Svein Sjøberg,
*Skal norsk skole kopiere Singapore?*(Should Norwegian schools copy Singapore?), kronikk (op-ed), Dagbladet, Oslo, Norway, 29 March 2006. - Helmer Aslaksen,
*PSLE 2005 and Curry's Paradox,*Mathematical Medley**32**(2005), no. 2, 2-9. - Helmer Aslaksen,
*Creating Impossible Figures When Changing Numbers in Geometry Problems,*Maths Buzz, Association of Mathematics Educators, Singapore,**8**(2007), no. 2, 6.

Helmer Aslaksen

Department of Mathematics

National University of Singapore

helmer.aslaksen@gmail.com

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