Papers

Submitted Manuscripts:
  • Metric learning for phylogenetic tree construction
    N. Eriksson and Y. Yao.
Refereed Articles:
  • Viral population estimation using pyrosequencing
    N. Eriksson, L. Pachter, Y. Mitsuya, S.Y. Rhee, C. Wang, B. Gharizadeh, M. Ronaghi, R.W. Shafer, and N. Beerenwinkel. PLoS Computational Biology, 2008 May; 4(5): e1000074.
  • Using invariants for phylogenetic tree construction
    In M. Putinar and S. Sullivant (eds.), Emerging Applications of Algebraic Geometry, I.M.A. Volumes in Mathematics and its Applications, 2008 to appear.
  • Sequence editing by Apolipoprotein B RNA-editing catalytic component-B and epidemiological surveillance of transmitted HIV-1 drug resistance.
    R.J. Gifford, S.Y. Rhee, N. Eriksson, M. Kiuchi, A.K. Das, and R.W. Shafer. AIDS, 22(6):717-725, March 30, 2008.
  • Apollonian circle packings: Number theory II. Spherical and hyperbolic packings
    N. Eriksson and Jeffrey C. Lagarias. Ramanujan Journal 14 (3):437-469, 2007.
  • Conjunctive Bayesian networks
    N. Beerenwinkel, N. Eriksson, and B. Sturmfels. Bernoulli, 13 (4):893-909, 2007.
  • Evolution on distributive lattices
    N. Beerenwinkel, N. Eriksson, and B. Sturmfels. Journal of Theoretical Biology, 242 (2):409-420, 2006.
  • Markov bases for noncommutative Fourier analysis of ranked data
    P. Diaconis and N. Eriksson. Journal of Symbolic Computation, 41 (2):182-195, 2006.
  • Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models
    N. Eriksson, S. Fienberg, A. Rinaldo, and S. Sullivant. Journal of Symbolic Computation, 41 (2):222-233, 2006.
  • Phylogenetic algebraic geometry
    N. Eriksson, K. Ranestad, B. Sturmfels and S. Sullivant. In C. Ciliberto, A. Geramita, B. Harbourne, R-M. Roig and K. Ranestad (eds.), Projective Varieties with Unexpected Properties, 237-255. De Gruyter, Berlin, 2005.
  • Toric ideals of homogeneous phylogenetic models
    In Proceedings of the 2004 international symposium on symbolic and algebraic computation, 149-154. ACM Press, New York, 2004.
  • q-series, elliptic curves, and odd values of the partition function
    International Journal of Mathematics and Mathematical Sciences, 22 (1):55-66, 1999.
Book Chapters:
  • Tree Construction Using Singular Value Decomposition
    In L. Pachter and B. Sturmfels (eds.) Algebraic Statistics for Computational Biology, 347-358. Cambridge University Press, Cambridge, UK, 2005.
  • Ultra-Conserved Elements in Vertebrate and Fly Genomes
    M. Drton, N. Eriksson, and G. Leung. In L. Pachter and B. Sturmfels (eds.) Algebraic Statistics for Computational Biology, 387-402. Cambridge University Press, Cambridge, UK, 2005.
Theses:
  • Algebraic combinatorics for computational biology
    Ph.D. dissertation, Department of Mathematics, UC Berkeley.
  • Clifford Algebras and Spin Groups
    MIT Undergraduate Journal of Mathematics, 3, 2001.