Department of Mathematics and Statistics

Dan Yasaki

Publications

  1. with Steve Donnelly, Paul E. Gunnells, and Ariah Klages-Mundt, A table of elliptic curves over the cubic field of discriminant $-23$, submitted.
  2. with Mathieu Dutour Sikirić, Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, and Achille Schürmann, On $K_4$ of the Gaussian and Eisenstein Integers, submitted.
  3. with Mathieu Dutour Sikirić, Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, and Achille Schürmann, On the cohomology of linear groups over imaginary quadratic fields, submitted.
  4. Integral cohomology of certain Picard modular surfaces, J. Number Theory 134 (2014) 13-28. (DOI)
  5. Perfect unary forms over real quadratic fields, J. Théor. Nombres Bordeau x25 (2013), no. 3, 759-775.
  6. with Paul E. Gunnells, Modular forms and elliptic curves over the cubic field of discriminant −23, Int. J. Number Theory 9 (2013), no. 1, 53-76. (DOI 10.1142/S1793042112501242)
  7. Computing modular forms for ${\rm GL}_2$ over certain number fields, Computations with Modular Forms, Contributions in Mathematical and Computational Sciences 6 (2014), 363-377. (DOI 10.1007/978-3-319-03847-6)
  8. with Farshid Hajir and Paul E. Gunnells, Modular forms and elliptic curves over the field of fifth roots of unity, Exp. Math. 22 (2013), no. 2, 203-216. (DOI 10.1080/10586458.2013.736271)
  9. Computing modular forms using Voronoi polyhedra (extended abstract), Mathematisches Forschungsinstitut Oberwolfach, Report No. 35/2011, Explicit Methods in Number Theory
  10. On modular forms and elliptic curves over $\mathbb{Q}(\zeta_5)$, RIMS Automorphic forms, trace formulas, and zeta functions (2011), Proceedings.
  11. with Adriano Bruno, The arithmetic of planar binary trees, Involve 4 (2011), no. 1, 1-11.
  12. Hyperbolic tessellations associated to Bianchi groups, 6197 (2010), 385 - 396, 9th International Symposium, Nancy, France, ANTS-IX, July 19-23, 2010, Proceedings.
  13. Binary Hermitian forms over a cyclotomic field, J. Algebra 322 (2009), 4132-4142. (DOI)
  14. Computing Hecke operators on Bianchi forms, Tech. Report, Magma computational group: University of Sydney, 2009.
  15. Modular forms over imaginary quadratic fields, package available in Magma V2.16, 2009.
  16. with Paul E. Gunnells, Hecke operators and Hilbert modular forms, Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 5011, Springer, Berlin, 2008, pp. 387-401.
  17. Elliptic points of the Picard modular group, Monatsh. Math. (2009), no. 156, 391-396.
  18. An explicit spine for the Picard modular group over the Gaussian integers, J. Number Theory 128 (2008), no. 1, 207-234.
  19. On the existence of spines for $\mathbb{Q}$-rank 1 groups, Selecta Math. (N.S.) 12 (2006), no.3-4, 541-564.
  20. On the existence of spines for $\mathbb{Q}$-rank 1 groups, Ph.D. Thesis, Duke University, 2005.