List of Publications for Helmer ASLAKSEN

Pure Mathematics

  1. Helmer Aslaksen, SO(2) invariants of a set of 2x2 matrices, Mathematica Scandinavica 65 (1989), 59-66. MR 91d: 15010, Zbl 0679.15029.
  2. 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.
  3. Helmer Aslaksen, Restricted homogeneous coordinates for the Cayley projective plane, Geometriae Dedicata 40 (1991), 245-250. MR 92h: 51003, Zbl 0758.51001, SpringerLink.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Helmer Aslaksen and Eng-Chye Tan, Generic 2x2 matrices with involution, Manuscripta Mathematica 83 (1994), 365-385. MR 95c: 16030, Zbl 0814.16019.
  9. 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.
  10. 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.
  11. 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.
  12. Helmer Aslaksen, Eng-Chye Tan and Chen-bo Zhu, On Om x GLn highest weight vectors, “Symmetries in Science VIII”, B. Gruber (ed.), Plenum Press, 1995, 1-11. MR 97a: 13009, Zbl 0919.22005.
  13. 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.
  14. Helmer Aslaksen, Shih-Ping Chan and Tor Gulliksen, Invariants of S4 and the shape of sets of vectors, Applicable Algebra in Engineering, Communication and Computing 7 (1996), 53-57. MR 98g: 13004, Zbl 0849.20007, SpringerLink.
  15. 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.)
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.

Computer Science

  1. Helmer Aslaksen, Ten TeX tricks for the mathematician, TUGboat, Communications of the TeX Users Group 14 (1993), 135-136.
  2. Helmer Aslaksen, Multiple-valued complex functions and computer algebra, ACM SIGSAM Bull. 30 (1996), 12-20. Zbl pre02096156.
  3. 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.
  4. Helmer Aslaksen, Chinese TeX: Using the CJK LaTeX Package, Unicode TrueType Fonts and PDFTeX under Windows, The PracTeX Journal 2 (2006), no. 1.
  5. Helmer, Aslaksen, SHI Fangying, ZHANG Mengshi, Enumerating 9x9 Sudoku Grids, Proceedings of the 14th Youth Science Conference, Ministry of Education, Singapore, 2008.

Astronomy

  1. 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.
  2. Helmer Aslaksen, The mathematics of the Chinese calendar, preprint, National University of Singapore, 1999.
  3. Helmer Aslaksen and Veronica Chin Hei Ting, The Mathematics of the Chinese Calendar, “Proceedings of Science Research Congress 1999 Singapore”, ISSN 0218-4869.
  4. 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.
  5. Helmer Aslaksen, When is Chinese New Year?, Griffith Observer 66 (2002), no. 2 (February), 1-17.
  6. 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.
  7. 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.
  8. 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.

Mathematics and Art

  1. 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.
  2. 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.
  3. Helmer Aslaksen, A Contrarian View of Teaching Mathematics and Art, “Art+Math=X”, Carla Farsi (ed.), University of Colorado, Boulder, 2005, 1-4.
  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.
  5. 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.

Mathematics in Politics

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

Mathematics Education

  1. 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.
  2. 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.
  3. Helmer Aslaksen, Is IT it?, CDTLBrief, Centre for Development of Teaching and Learning, National University of Singapore, 2 (1999), no. 2, p. 6.
  4. Helmer Aslaksen, The emperor's new web, “Reflections on Teaching”, Centre for Development of Teaching and Learning, National University of Singapore, 1999, p. 115.
  5. 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.
  6. 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.
  7. 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.
  8. Helmer Aslaksen, The Joy of GEM, CDTLBrief, Centre for Development of Teaching and Learning, National University of Singapore, 7 (2004), no. 9, 2-4.
  9. 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.
  10. 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.
  11. Helmer Aslaksen and Svein Sjøberg, Skal norsk skole kopiere Singapore? (Should Norwegian schools copy Singapore?), kronikk (op-ed), Dagbladet, Oslo, Norway, 29 March 2006.
  12. Helmer Aslaksen, PSLE 2005 and Curry's Paradox, Mathematical Medley 32 (2005), no. 2, 2-9.
  13. 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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