Jessica Sidman
Associate Professor of Mathematics
Department of Mathematics and Statistics
G. Burnham, Z. Rosen, J. Sidman, P. Vermeire, Line arrangements modeling curves of high degree: equations, syzygies and secants. arXiv:1201.5010.
A. Lee-St.John, J. Sidman, Combinatorics and the Rigidity of CAD Systems, to appear in Computer Aided Design.
J. Sidman, An introduction to Algebraic Geometry: Polygons, Parameterizations, and Equations, American Mathematical Monthly, Volume 119, Number 3, March 2012 , pp. 183-198.
J. Sidman, G. Smith, Linear determinantal equations for all projective schemes. arxiv:0910.224, Algebra and Number Theory, Vol. 5 (2011), No. 8, 1041-1061.
J. Sidman, P. Vermeire, Equations defining secant varieties: geometry and computation. Combinatorial aspects of commutative algebra and algebraic geometry, Abel Symp., 6, Springer, Berlin, 2011.
J. Sidman, P. Vermeire, Syzygies of the secant variety of a curve, math.AG/0806.3056, Algebra and Number
Theory vol. 3, No. 4, 2009.
J. Sidman, S. Sullivant, Prolongations and computational algebra, math.AC/0611696, Canadian J. Math, Vol. 61, No. 4, 2009, p. 930-949.
J. Sidman, Resolutions
and subspace arrangements, Syzygies
and Hilbert
Functions, 249-265, Lect. Notes Pure Appl. Math., 254,
Chapman&Hall/CFC,
Boca Raton, FL, 2007.
J. Sidman, A. Van Tuyl, H. Wang, Multigraded regularity: coarsenings
and
resolutions, math.AC/0505421,
J.
Algebra, (2006) vol. 301, no.2, 703-727.
D. Cox and J. Sidman, Secant varieties of toric varieties, math.AG/0502344.
, J. Pure
Appl.
Alg. (2007) vol. 209, no. 3, 651-669.
Slides
from AMS Special Session on Algebraic Statistics, January 2006.
J. Sidman and A. Van Tuyl, Multigraded regularity: syzygies and fat
points, math.AC/0405247.,
Beitr\"age (2006)
vol. 47, no. 1, 67-87. (Please note that an incorrect version was
printed in the journal due to a mixup of electronic files. The
journal has posted the correct version online. The same version can
be found on the arxiv.)
A. Björner, I. Peeva, J. Sidman, Subspace arrangements defined
by products of linear forms, math.CO/0401373,
J.
Lond. Math. Soc. vol. 71 (2005) no. 2, 273-288.
A. Conca, J. Sidman, Generic Initial ideals
of points and curves, math.AC/0402418,
J. Symb. Comp. (2005) vol. 40, 1023-1038.
J. Sidman, Defining equations of subspace arrangements embedded in
reflection arrangements,
math.CO/0307280,
IMRN (2004),
no. 15, 713-727.
D. Eisenbud, Lectures on the geometry of
syzygies. With a chapter by Jessica Sidman. Math. Sci. Res. Inst. Publ.,
51,
Trends in commutative algebra, 115-152, Cambridge Univ. Press,
Cambridge, 2004.
H. Derksen, J. Sidman, Castelnuovo-Mumford
regularity by approximation , math.AC/0211279,
Adv. in
Math. (2004) vol. 188, no. 1, 104-123.
H. Derksen, J. Sidman, A sharp
bound for the Castelnuovo-Mumford regularity of subspace arrangements,
math.AG/0109035,
Adv. in Math. (2002), vol. 172, no. 2,
151-157.
J. Sidman, On the Castelnuovo-Mumford regularity
of ideal sheaves, math.AG/0110184
, Adv.
in Geom. 2 (2002), no. 3, 219-229.
J. Sidman, On the Castelnuovo-Mumford regularity of subspace arrangements,
thesis (ps).