Marshall University

Publications

(with Yongnam Lee)
14 pages, submitted for publication (May 2008)

(with Bill Haboush and Hanspeter Kraft)
16pages, submitted for publication (May 2007)

(with Brendan Hassett)
Trans. Amer. Math. Soc. 361 (2009), no. 8, 4471-4489.

(with Brendan Hassett and Yongnam Lee)
Journal of Korean Mathematical Society (to appear)

(with Yongnam Lee)
Math. Z. (to appear)

Log minimal model program for the moduli space of stable curves of genus three

Stability computation via Gröbner basis

A log canonical model for the moduli space of curves: The first divisorial contraction

Moduli space of commuting nilpotents

A new look at the moduli space of hyperelliptic curves

(with Yongnam Lee)
Math. Ann. (2007), no. 2, 337:479–488
Addendum (Simpler proof of Propsition 3)

Stability of tri-canonical curves of genus two

(with Yongnam Lee)
J. Pure. Appl. Alg. 213 (2009) 1991—2000

Stability of bicanonical curves of genus three

(with D. Murphy)
Proc. Amer. Math. Soc. 132 (2004), no. 8, 2205--2213

Note on the stability of principal bundles

(with Brendan Hassett)
75 pages, submitted for publication (May 2008) arXiv:0806.3444v1 [math.AG]

Log minimal model program for the moduli space of curves: The first flip

Trans. Amer. Math. Soc. 354 (2002), no. 5, 1899--1908

Principal bundles over a projective scheme

Internat. J. Math. 12 (2001), no. 4, 393—402

Higgs bundles, spectral curves and étale covering

Internat. J. Math. 11 (2000), no. 9, 1231--1243

Direct images of stable triples

University of Illinois Thesis (2001) 131 pages

Moduli questions for augmented bundles

(with Ian Morrison)
Math. Res. Lett. (to appear) arXiv:0806.1269v1 [math.AG]

Stability of Tails and 4-Canonical Models