Dung Hoang Nguyen
Department of Mathematics, Stanford University
Stanford, CA 94305
Office : 380-H Sloan Hall (Math Corner)

dhnguyen@math.stanford.edu

I have graduated from the Math Phd program at Stanford University in September 2011. Currently I am a postdoctoral fellow at the Department of Mathematics, Colorado State University.

Teaching Experience :

Course Assistant :

Beginning Fall 2008, I will have no teaching duties as a result of Stanford Graduate Fellowship (2008-2011)

Research Interest :

My thesis advisor is Ravi Vakil. Broadly speaking, I am interested in problems concerning intersection theory on moduli spaces in algebraic geometry. Currently I am working on problems in enumerative geometry.

Papers and Preprints :

1. Characteristic numbers of elliptic space curves with fixed j-invariant. arxiv

2. Characteristic numbers of rational cuspidal space curves. arxiv

3. Characteristic numbers of elliptic space curves. arxiv

Programs:

I have written a program implementing algorithms described in the above preprints. Using the program, one could compute the characteristic numbers of elliptic curves with fixed j-invariant in P^r, and also the characteristic numbers of rational (smooth, nodal, or cuspdial) curves in P^r, and characteristic numbers of elliptic space curves. The source code is here. The codes make uses of the bignum library

One can try out the program. The documentation is here.