Josephine T. Yu

Office:

2-348

Email:

jyu AT math.mit.edu

Office phone:

617-354-2597

Fax:

617-253-4358

Postal address:

Massachusetts Institute of Technology

Department of Mathematics, Room 2-348

77 Massachusetts Avenue

Cambridge, MA 02139-4307

Teaching

• Fall 2008
  18.325 Tropical Geometry (Topics in applied math)
  
  
• Spring 2008
  Recitation for Prof. Staffilani's 18.02 (Multivariable Calculus)
  
  
• Fall 2007
  Recitation for Prof. Jerison's 18.01 (One-variable calculus)
  

Papers

• The space of tropically collinear points is shellable (with Hannah Markwig), math.CO/0711.0944, submitted.
• Affine buildings and tropical convexity
  (with Michael Joswig and Bernd Sturmfels), math.MG/0706.1918, to appear in Albanian Journal of Mathematics special issue on computational algebraic geometry.
• Tropical implicitization and mixed fiber polytopes (Software TrIm)
  (with Bernd Sturmfels), cs.SC/0706.0564, to appear in Software for Algebraic Geometry, I.M.A. Volumes in Mathematics and its Applications, M. Stillman, N. Takayama and J. Verschelde (eds.), 20 pages.
• Representing tropical linear spaces by circuits
  (with Debbie Yuster), math.CO/0611579, to appear as an extended abstract in the proceedings of FPSAC 2007.
• The Newton polytope of the implicit equation
  (with Bernd Sturmfels and Jenia Tevelev), math.CO/0607368. Moscow Mathematical Journal 7 (2007), 327--346.
• Tropical polytopes and cellular resolutions
  (with Mike Develin), math.CO/0605494. To appear in Experimental Mathematics.
• The hyperdeterminant and triangulations of the 4-cube
  (with Peter Huggins, Bernd Sturmfels, and Debbie Yuster), math.CO/0602149, to appear in Mathematics of Computation. Website.
• Tropical convexity via cellular resolutions (Erratum, software)
  (with Florian Block), Journal of Algebraic Combinatorics 24, 1 (2006), 103--114.
• The EM algorithm for hidden markov models
  (with Ingileif Hallgrímsdóttir and R. Alexander Milowski), Chapter 12, Algebraic Statistics for Computational Biology, edited by Lior Pachter and Bernd Sturmfels. Cambridge University Press (2005).
• Classification of six point metrics
  (with Bernd Sturmfels), Electronic Journal of Combinatorics 11 (2004) R44. Website.
• Non-commutative matrix integrals and representation varieties of surface groups in a finite group
  (with Motohico Mulase), Annales de L'Institut Fourier 55, 6 (2005), 2161--2196.
• Graphical expansion of matrix integrals with values in a Clifford algebra
  (senior thesis), Explorations 6, A Journal of Undergraduate Research at UC Davis, 2003.
• A generating function of the number of homomorphisms from a surface group into a finite group
  (with Motohico Mulase), math.QA/0209008.