Jessica Sidman

Professor of Mathematics

Department of Mathematics and Statistics

Undergraduate co-authors are indicated with a *.

J. Sidman, A. Lee-St. John, S. Stark*, L. Theran, X. Yu*, Algorithms for
detecting dependencies and rigid subsystems for CAD. James Farre,
Helena Kleinschmidt, arXiv:1306.1572
G. Burnham*, Z. Rosen, J. Sidman, P. Vermeire, Line arrangements modeling curves of high degree: equations, syzygies and secants, Recent Advances in Algebraic Geometry, London Mathematical Society Lecture Notes Series, 417, to appear. arXiv:1201.5010.
J. Farre*, H. Kleinschmidt*, A. Lee-St.John, J. Sidman, S. Stark*, and L. Theran, Detecting dependencies in geometric constraint systems, 10th International Workshop on Automated Deduction in Geometry, July 9-11, 2014, 147-166.
C. Clement*, A. Lee-St. John, J. Sidma,
Hyperbanana Graph, Proceedings of 25th Canadian Conference on
Computational Geometry, pages 199-204, 2013. arXiv:1308.3281
H. Schenck and J. Sidman, Commutative algebra of subspace arrangements and hyperplane arrangements, in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday, 639-666, Springer Verlag, New York, 2013.
A. Lee-St.John, J. Sidman, Combinatorics and the Rigidity of CAD
Systems, Computer-Aided Design, 45 (2013), no. 2, 473-482.
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).