|
182.
Blow-ups of P^(n-3) at n points and spinor vareties (with M. Velasco),
14 pp., submitted to
Advances in Mathematics.
181.
Multivariate Gaussians, semidefinite matrix completion, and
convex algebraic geometry (with C. Uhler),
24 pp., submitted to
Annals of the Institute of Statistical Mathematics.
180.
Siphons in chemical reaction networks (with A. Shiu),
18 pp., submitted to Bulletin of Mathematical Biology.
179.
Polynomial relations among principal minors of a 4x4 matrix
(with S. Lin), 15 pp., submitted to Journal of Algebra.
178.
Reconstructing spatiotemporal gene expression data from partial observations (with D. Cartwright, S. Brady, D. Orlando, and P. Benfey),
19 pp., to appear in Bioinformatics.
177.
The Hilbert scheme of the diagonal in a product of projective spaces (with D. Cartwright),
27 pp., to appear in Journal of Algebraic Geometry.
176.
Commuting birth-death processes (with S. Evans and C. Uhler),
19 pp., to appear in Annals of Applied Probability.
175.
Graphical models for correlated defaults
(with I.O. Filiz, X. Guo and J. Morton), 30 pp.,
to appear in Mathematical Finance.
174.
Marginal likelihood integrals for mixtures of independence models (with S. Lin and Z. Xu), 24 pp., to appear in
Journal of Machine Learning Research.
173.
Computer algebra in systems biology,
(with R. Laubenbacher)
10 pp., to appear in American Mathematical Monthly.
German version:
Computeralgebra in der Systembiologie,
Informatik-Spektrum 32(1) (2009) 27-32.
172.
Sagbi bases of Cox-Nagata rings (with Z. Xu),
35 pp., to appear in
Journal of the European Mathematical Society.
171.
Convex rank tests and semigraphoids, (with
J. Morton, L. Pachter, A. Shiu and O. Wienand), 17 pp., to appear in
SIAM Journal on Discrete Mathematics.
170.
Toric dynamical systems,
(with G. Craciun, A. Dickenstein and A. Shiu), 17 pp., to appear in
Journal of Symbolic Computation.
169.
The algebraic degree of semidefinite programming, (with
J. Nie and K. Ranestad),
26 pp., to appear in Mathematical Programming.
168.
Matrix cubes parametrized by eigenvalues (with J. Nie),
SIAM Journal on Matrix Analysis and Applications
31 (2009) 755-766.
167.
Normal toric ideals of low codimension,
(with P. Dueck and S. Hosten),
Journal of Pure and Applied Algebra
213 (2009) 1636-1641.
166.
Tropical mathematics, Mathematics Magazine
82 (2009) 163--173.
165.
How to draw tropical planes (with S. Hermann, A. Jensen and M. Joswig),
Electronic Journal of Combinatorics
16(2) (2009) R6.
164. Comparison of pattern detection methods in microarray time series of the segmentation clock,
(with M-L. Dequeant, 12 others, and O. Pourquie),
PLoS ONE 3(8) (2008) e2856.
163.
Elimination theory for tropical varieties, (with J. Tevelev),
Mathematical Research Letters
15 (2008) 543-562.
162.
Open problems in algebraic statistics, in
Emerging Applications of Algebraic Geometry,
(editors M. Putinar and S. Sullivant),
I.M.A. Volumes in Mathematics and its Applications,
149, Springer, New York, 2008, pp. 351-364.
161.
The hyperdeterminant and triangulations of the 4-cube,
(with P. Huggins, J. Yu and D. Yuster),
Mathematics of Computation
77 (2008) 1653-1679.
160.
Toric geometry of cuts and splits
(with S. Sullivant),
Michigan Mathematical Journal
57 (2008) 689-709.
159.
Three counterexamples on semigraphoids
(with R. Hemmecke, J. Morton, A. Shiu and O. Wienand),
Combinatorics, Probability and Computing
17 (2008) 239-257.
158.
Tropical implicitization and mixed fiber polytopes, (with J. Yu)
in Software for Algebraic Geometry,
(editors M. Stillman, N. Takayama and J. Verschelde),
I.M.A. Volumes in Mathematics and its Applications
148, Springer, New York, 2008, pp. 111-132.
157.
Semidefinite representation of the k-ellipse, (with
J. Nie and P. Parrilo), in
Algorithms in Algebraic Geometry,
(editors A. Dickenstein, F. Schreyer and A. Sommese)
I.M.A. Volumes in Mathematics and its Applications,
146, Springer, New York, 2008, pp. 117-132.
156.
Affine buildings and tropical convexity,
(with M. Joswig and J. Yu),
Albanian Journal of Mathematics
1 (2007) 187-211.
155.
Conjunctive Bayesian networks
(with N. Beerenwinkel and N. Eriksson),
Bernoulli 13 (2007) 893-909.
154.
Towards the human genotope, (with P. Huggins and L. Pachter),
Bulletin of Mathematical Biology
69 (2007) 2723-2735.
153.
Epistasis and shapes of fitness landscapes,
(with N. Beerenwinkel and L. Pachter),
Statistica Sinica
17 (2007) 1317-1342.
152.
Hyperdeterminantal relations among symmetric principal minors,
(With O. Holtz), Journal of Algebra
316 (2007) 634-648
151.
The cyclohedron test for finding periodic genes in time course
expression studies, (with J. Morton, L. Pachter and A. Shiu),
Statistical Applications in Genetics and Molecular Biology
6 (2007) 1:21.
150. Tropical discriminants,
(with A. Dickenstein and E.M. Feichtner),
Journal of the American Mathematical Society
20 (2007) 1111-1133.
149. Analysis
of epistatic interactions and fitness
landscapes using a new geometric approach, (with
N. Beerenwinkel, L. Pachter, S. Elena and R. Lenski),
BMC Evolutionary Biology 7:60 (2007)
148.
Computing the integer programming gap, (with S. Hosten),
Combinatorica 27 (2007) 367-382
147.
The Newton polytope of the implicit equation
(with J. Tevelev and J. Yu) Moscow Mathematical Journal
7 (2007) 327-346.
146.
Algebraic factor analysis: tetrads, pentads and beyond,
(with M. Drton and S. Sullivant),
Probability Theory and Related Fields
138 (2007) 463-493.
145.
The mathematics of phylogenomics, (with L. Pachter),
SIAM Review 49 (2007) 3-31.
144.
Computing tropical varieties, (with T. Bogart, A. Jensen,
D. Speyer and R. Thomas), Journal of Symbolic Computation
42 (2007) 54-73.
143.
Monomial dynamical systems over finite fields
(with O. Colon-Reyes, A. Jarrah and R. Laubenbacher),
Complex Systems
16 (2006) no 4.
142.
Geometry of rank tests,
(with J. Morton, L. Pachter, A. Shiu and O. Wienand),
8 pp., Proceedings of the conference
Probabilistic Graphical Models (PGM 3),
Prague, Czech Republic, September 2006.
141.
Evolution on distributive lattices,
(with N. Beerenwinkel and N. Eriksson),
Journal of Theoretical Biology
242 (2006) 409-420.
140.
An algebraic geometry approach to nonlinear parametric optimization in
control, (with I. Fotiou, P. Rostalski and M. Morari),
American Control Conference,
Minneapolis, MN, June 2006, pp. 3618-3623.
139.
The maximum likelihood degree,
(with F. Catanese, S. Hosten and A. Khetan),
American Journal of Mathematics
128 (2006) 671-697.
138.
Combinatorial secant varieties (with S. Sullivant),
Quarterly Journal of Pure and Applied Mathematics
2 (2006) 285-309,
(Special issue: In Honor of Robert MacPherson).
137.
Minimizing polynomials via sum of squares over the gradient ideal
(with J. Demmel and J. Nie),
Mathematical Programming
106 (2006) 587-606.
136.
Parametric alignment of Drosophila genomes,
(with C. Dewey, P. Huggins, K. Woods and L. Pachter),
PLOS Computational Biology,
2(6) (2006) e73.
135.
On the toric algebra of graphical models, (with D. Geiger and C. Meek),
Annals of Statistics
34 (2006) 1463-1492
134.
Resultants in genetic linkage analysis, (with I. Hallgrimsdottir),
Journal of Symbolic Computation 41
(2006) 125-137
133.
Matroid polytopes, nested sets and Bergman fans,
(with E.M. Feichtner),
Portugaliae Mathematica
62 (2005) 437-468.
132.
What is a Grobner basis?,
Notices of the American Mathematical Society
52
(2005) 1199-1200
131.
Phylogenetic algebraic geometry,
(with N. Eriksson, K. Ranestad and S. Sullivant),
in Projective Varieties
with Unexpected Properties, (editors C. Ciliberto,
A. Geramita, B. Harbourne, R-M. Roig and K. Ranestad),
De Gruyter, Berlin, 2005, pp. 237-255
130.
Solving the likelihood equations,
(with S. Hosten and A. Khetan),
Foundations of Computational Mathematics.
5 (2005) 389-407.
129.
On the tropical rank of a matrix, (with F. Santos and M. Develin),
in Discrete and Computational Geometry, (eds. J.E. Goodman,
J. Pach and E. Welzl), Mathematical Sciences Research
Institute Publications, Volume 52, Cambridge University Press, 2005,
pp. 213-242.
128.
The graph of monomial ideals, (with K. Altmann),
Journal of Pure and Applied Algebra
201 (2005) 250-263.
127.
First steps in tropical geometry, (with J. Richter-Gebert and
T. Theobald), in
"Idempotent Mathematics and Mathematical Physics",
Proceedings Vienna 2003, (editors G.L. Litvinov and V.P. Maslov),
American Mathematical Society,
Contemporary Mathematics
377 (2005) 289-317.
126.
Toric ideals of phylogenetic invariants, (with S. Sullivant),
Journal of Computational Biology
12 (2005) 204-228.
125.
Algebraic geometry of Bayesian networks,
(with L. Garcia and M. Stillman),
Journal of Symbolic Computation
39 (2005) 331-355.
124.
Parametric inference for biological sequence analysis,
(with L. Pachter),
Proceedings of the National Academy of Sciences
101 (2004) 16138-16143.
123.
Tropical geometry of statistical models,
(with L. Pachter),
Proceedings of the National Academy of Sciences
101 (2004) 16132-16137.
122.
Algebraic recipes for integer programming,
"Trends in optimization" (Phoenix, AZ, 2004),
99-113, Proc. Sympos. Appl. Math, 61,
Amer. Math. Soc., Providence, RI, 2004.
121.
Short rational functions for toric algebra, (with J. A. De Loera,
D. Haws, R. Hemmecke, P. Huggins, and R. Yoshida),
Journal of Symbolic Computation
38 (2004) 959--973.
120.
The tropical Grassmannian, (with D. Speyer),
Advances in Geometry 4
(2004) 389-411.
119.
Classification of six-point metrics,
(with J. Yu), Electronic Journal of Combinatorics
11 (2004/05) R44.
118.
Multigraded Hilbert schemes, (with M. Haiman),
Journal of Algebraic Geometry 13
(2004) 725-769.
117. Supernormal
vector configurations, (with S. Hosten and
D. Maclagan), Journal of Algebraic Combinatorics
19 (2004) 297-313.
116. Tropical Convexity, (with M. Develin), Documenta
Mathematica 9 (2004) 1-27.
115. Algebraic unimodular counting, (with J. De
Loera), Mathematical Programming, Series B,
96 (2003) 183-203.
114. Minimizing polynomial functions, (with P.
Parrilo), Proceedings of the DIMACS Workshop on
Algorithmic and Quantitative Aspects of Real Algebraic
Geometry in Mathematics and Computer Science (March
2001), (eds. S. Basu and L. Gonzalez-Vega), American
Mathematical Society, 2003, pp. 83-100.
113. Higher Lawrence Configurations (with F. Santos),
Journal of Combinatorial Theory, Series A,
103 (2003) 151-164.
112. Alexander duality in subdivisions of Lawrence
polytopes (with F. Santos), Advances in Geometry,
3 (2003) 177-189.
111. Toric hyperkahler varieties (with T. Hausel),
Documenta Mathematica 7
(2002) 495-534.
110. Elimination theory in codimension two, (with
A. Dickenstein), Journal of Symbolic Computation
34 (2002) 119-135.
109. Binomial residues, (with E. Cattani and
A. Dickenstein), Annales de l'Institute Fourier
(Grenoble), 52 (2002), no. 3,
687-708.
108.Syzygies of oriented matroids, (with I. Novik
and A. Postnikov), Duke Mathematical Journal
111 (2002) 287-317.
107.Grobner bases of abelian matrix groups, in
Symbolic Computation: Solving Equations in Algebra,
Geometry, and Engineering, (eds. E. Green, S.
Hosten, R. Laubenbacher, V. Powers), Contemporary
Mathematics, Volume 286, American Math. Soc, Providence,
RI, 2001, pp. 141-143.
106.Rational hypergeometric functions, (with
E. Cattani and A. Dickenstein), Compositio
Mathematica 128 (2001) 217-240.
105. Syzygies of unimodular Lawrence ideals,
(with D. Bayer and S. Popescu), Journal fur
die Reine und Angewandte Mathematik 534
(2001) 169-186.
104. A
sagbi basis for the quantum Grassmannian,
(with F. Sottile), Journal for Pure and Applied
Algebra 158 (2001) 347-366.
103. Four counterexamples in combinatorial algebraic
geometry, Journal of Algebra 230
(2000) 282-294.
102. Generic and cogeneric monomial ideals, (with
E. Miller and K. Yanagawa), Journal of Symbolic
Computation 28 (2000) 691-708.
101. Solving algebraic equations in terms of
${\cal A$-hypergeometric series, Discrete
Mathematics 210 (2000) 171-181.
100. Monomial ideals and planar graphs, (with
E. Miller), in "Applied Algebra, Algebraic
Algorithms and Error-Correcting Codes", [M.
Fossorier, H. Imai, S. Lin and A. Poli, eds.],
Proceedings of AAECC-13 (Honolulu, November 1999),
Springer Lecture Notes in Computer Science 1719
(1999) 19-28.
99. Cutting corners, (with S. Onn), Advances
in Applied Mathematics 23
(1999) 29-48.
98. The Co-Scarf resolution, in "Commutative
Algebra, Algebraic Geometry and Computational
Methods", Proceedings Hanoi 1996, [editor
D. Eisenbud] Springer Verlag, Singapore, 1999,
pp. 315-320.
97. Hypergeometric polynomials and integer programming
(with M. Saito and N. Takayama), Compositio
Mathematica 115 (1999) 185-204.
96. Numerical Schubert calculus, (with B. Huber
and F. Sottile), Journal of Symbolic Computation
20 (1998) 767-788.
95. Syzygies of codimension $2$ lattice ideals,
(with I. Peeva), Mathematische Zeitschrift
229 (1998) 163-194.
94. Cellular resolution of monomial modules, (with
D. Bayer), Journal fur die Reine und Angewandte
Mathematik 502 (1998) 123-140.
93. Grobner deformations of regular holonomic
systems, (with M. Saito and N.Takayama), Proceedings
of the Japan Academy, Ser. A Math. Sci. 74
(1998) 111-113.
92. Polynomial equations and convex polytopes,
American Mathematical Monthly 105
(1998) 907-922.
91. Monomial resolutions, (with D. Bayer and
I. Peeva), Mathematical Research Letters
5 (1998) 31-46.
90. Residues and resultants, (with E. Cattani
and A. Dickenstein), Journal of Mathematical
Sciences of the University of Tokyo 5
(1998) 119-148.
89. Lattice walks and primary decomposition, (with
P. Diaconis and D. Eisenbud), Mathematical Essays
in Honor of Gian-Carlo Rota, eds. B. Sagan and
R. Stanley, Progress in Mathematics, Vol. 161,
Birkhauser, Boston, 1998, pp. 173-193.
88. Algebraic algorithms for sampling from conditional
distributions, (with P. Diaconis), Annals
of Statistics 26 (1998)
363-397.
87. Generic lattice ideals, (with I. Peeva),
Journal of the American Mathematical Society
11 (1998) 363-373.
86. Non-commutative Grobner bases for commutative
algebras, (with D. Eisenbud and I. Peeva), Proceedings
of the American Mathematical Society 126
(1998) 687-691.
85. How to shell a monoid, (with I. Peeva and
V. Reiner), Mathematische Annalen 310
(1998) 379-393.
84. Grobner bases and hypergeometric functions,
(with N. Takayama), in Grobner Bases and Applications
(Proc. of the Conference 33 Years of Grobner Bases),
B. Buchberger and F. Winkler (eds.), Cambridge
University Press, London Mathematical Society
Lecture Notes Series, 251, (1998), pp. 246-258.
83. A toric ring with irrational Poincare-Betti
series, (with J.-E. Roos), Comptes Rendus
Acad. Sci. Paris, Ser. I Math. 326
(1998) 141-146.
82. Equations defining toric varieties, Algebraic
Geometry - Santa Cruz 1995, Proc. Sympos. Pure
Math., 62, Part 2, Amer. Math. Soc., Providence,
RI, 1997, pp. 437-449.
81. Introduction to resultants, in: D. Cox, B.
Sturmfels (eds.), Applications of Computational
Algebraic Geometry, Proceedings of Symp. in Applied
Math., 53, American Mathematical Society, 1997,
pp. 25-39.
80. Variation of cost functions in integer programming,
(with R.R. Thomas), Mathematical Programming
77 (1997) 357-387.
79. Computing Hopf bifurcations, (with J. Guckenheimer,
M. Myers), SIAM J. Numerical Analysis
34 (1997) 1-21.
78. Structural Grobner basis detection, (with
M. Wiegelmann), Applicable Algebra in Engineering,
Communication and Computing (AAECC Journal) 8
(1997) 257-263.
77. Bernstein's Theorem in affine space, (with
B. Huber), Discrete and Computational Geometry
17 (1997) 137-141.
76. Intersection theory on toric varieties, (with
W. Fulton), Topology 36
(1997) 335-353.
75. A normal form algorithm for modules over $k[x,y]/\langle
x y \rangle$, (with R. Laubenbacher), Journal
of Algebra 184 (1996) 1001-1024.
74. Binomial ideals, (with D. Eisenbud), Duke
Mathematical Journal 84
(1996) 1-45.
73. Mixed monomial bases, (with P. Pedersen),
in Algorithms in Algebraic Geometry and Applications,
(eds. L. Gonzalez-Vega and T. Recio), Progress
in Mathematics, Vol. 143, Birkhauser, Basel, 1996,
pp. 307-316.
72. Computing multidimensional residues, (with
E. Cattani, A. Dickenstein), in Algorithms in
Algebraic Geometry and Applications, (eds. L.
Gonzalez-Vega and T. Recio), Progress in Mathematics,
Vol. 143, Birkhauser, Basel, 1996, pp. 135-164.
71. Primitive partition identities, (with P. Diaconis,
R. Graham), in Combinatorics, Paul Erdos is Eighty,
(eds. D.Mikl\'os, V.T. S\'os, T. Szonyi), Janos
Bolyai Mathematical Society, Budapest, Hungary,
1996, pp. 173-192.
70. The polytope of all triangulations of a point
configuration, (with J. De Loera, F. Santos, S.
Hosten), Documenta Mathematica 1
(1996) 103-119.
69. Initial complexes of prime ideals, (with M.
Kalkbrener) Advances in Mathematics 116
(1995) 365-376.
68. On vector partition functions, J. of Combinatorial
Theory, Ser. A 72 (1995)
302-309.
67. Grobner bases and triangulations of the second
hypersimplex, (with J. De Loera, R. Thomas), Combinatorica
15 (1995) 409-424.
66. A polyhedral method for solving sparse polynomial
systems, (with B. Huber), Mathematics of Computation
64 (1995) 1541-1555.
65. Grobner bases of lattices, corner polyhedra,
and integer programming, (with R. Weismantel,
G. Ziegler), Beitrage zur Algebra und Geometrie
36 (1995), 281-298.
64. GRIN: An implementation of Grobner bases for
integer programming, (with S.Hosten), in ``Integer
Programming and Combinatorial Optimization'',
[E. Balas and J. Clausen, eds.], Proceedings of
the IV. IPCO Conference (Copenhagen, May 1995),
Springer Lecture Notes in Computer Science 920
(1995) 267-276.
63. Bounds for degrees of projective schemes,
(with N.V. Trung, W. Vogel), Mathematische
Annalen 302 (1995) 417-432.
62. Introduction to Chow forms, (with J. Dalbec),
in "Invariant Methods in Discrete and Computational
Geometry" [N. White, ed.], Proceedings Curacao
(June 1994), Kluwer Academic Publishers, 1995,
pp. 37-58.
61. Intersection
theory on spherical varieties, (with W. Fulton,
R. MacPherson, F. Sottile), Journal of Algebraic
Geometry 4 (1995) 181-193.
60. Viro's theorem for complete intersections,
Annali della Scuola Normale Superiore di Pisa.
(4) 21 (1994), no. 3, 377-386.
59. On the number of real roots of a sparse polynomial
system, in Hamiltonian and Gradient Flows: Algorithms
and Control, (ed. A. Bloch), Fields Institute
Communications Vol. 3, American Math. Soc, Providence,
RI, 1994, pp. 137-143.
58. Iterated fibre polytopes, (with L.J. Billera),
Mathematika 41 (1994)
549-555.
57. Cellular strings on polytopes, (with L. Billera,
M. Kapranov), Proceedings of the Amer. Math.
Soc. 122 (1994) 549-555.
56. A note on lattice simplices and toric varieties,
(with S. Onn), American Journal of Mathematics
116 (1994) 1337-1339.
55. Minimal polynomials and sparse resultants,
(with J. Yu), in "Zero-Dimensional Schemes",
(eds. F. Orecchia and L. Chiantini), Proceedings
Ravello (June 1992), De Gruyter, Berlin, 1994,
pp. 317-324.
54. A quantitative Steinitz Theorem, (with S.
Onn), Beitrage zur Algebra und Geometrie
35 (1994) 125-129.
53. Finding sparse systems of parameters, (with
D. Eisenbud), Journal of Pure and Applied
Algebra 94 (1994) 143-157.
52. On the Newton polytope of the resultant, Journal
of Algebraic Combinatorics 3
(1994) 207-236.
51. Multigraded resultants of Sylvester type,
(with A. Zelevinsky), Journal of Algebra
163 (1994) 115-127.
50. A note on polynomial reduction, (with A. Reeves),
Journal of Symbolic Computation 11
(1993) 273-277.
49. Product formulas for resultants and Chow forms,
(with P. Pedersen), Mathematische Zeitschrift
214 (1993) 377-396.
48. Sparse elimination theory, in "Computational
Algebraic Geometry and Commutative Algebra"
[D. Eisenbud and L. Robbiano, eds.], Proceedings
Cortona (June 1991), Cambridge University Press,
1993, pp. 264-298.
47. Non-extremal Camion bases, (with R.G. Bland,
C.W. Ko), Linear Algebra and its Applications
187 (1993) 195-199.
46. Extension spaces of oriented matroids, (with
G. Ziegler), Discrete and Computational Geometry
10 (1993) 23-45.
45. Minkowski addition of polytopes: Computational
complexity and applications to Grobner bases,
(with P. Gritzmann), SIAM J. Discrete Math.
6 (1993) 246-269.
44. Duality and minors of secondary polyhedra,
(with L.J. Billera, I.M. Gel'fand), Journal
of Combinatorial Theory B 57
(1993) 258-268.
43. Maximal minors and their leading terms, (with
A. Zelevinsky), Advances in Mathematics
98 (1993) 65-112.
42. Asymptotic analysis of toric ideals, Memoirs
of the Faculty of Sciences, Kyushu University,
Series A: Mathematics 46, No. 2, (1992) 217-228.
41. Chow polytopes and general resultants, (with
M. Kapranov, A. Zelevinsky), Duke Mathematical
Journal 67 (1992) 189-218.
40. Algorithms for the Quillen-Suslin theorem,
(with A. Logar), Journal of Algebra
145 (1992) 231-239.
39. Fiber polytopes, (with L.J. Billera), Annals
of Mathematics 135 (1992)
527-549.
38. Unimodular fans, toric manifolds and linear
codes, (with P. Kleinschmidt and N. Schwartz),
in "Discrete and Computational Geometry:
Papers from the DIMACS Special Year", (eds.
J.E. Goodman, R. Pollack, W.L. Steiger), American
Math. Soc.. Providence, 1991, pp. 179-186.
37. Computing combinatorial decompositions of
rings, (with N. White), Combinatorica
11 (1991), 275-293.
36. Quotients of toric varieties, (with M. Kapranov,
A. Zelevinsky), Mathematische Annalen
290 (1991), 643-655.
35. Computational algebraic geometry of projective
configurations, J. Symbolic Computation
11 (1991) 595-618.
34. On the synthetic factorization of projectively
invariant polynomials, (with W. Whiteley), J.
Symbolic Computation 11
(1991) 439-454.
33. Grobner bases of toric varieties, Tohoku
Mathematical Journal 43
(1991) 249-261.
32. On the topology and geometric construction
of oriented matroids and convex polytopes, (with
J.Richter), Transactions American Math. Soc.
325 (1991) 389-412.
31. Smooth toric varieties with small Picard number
are projective, (with P. Kleinschmidt), Topology
30 (1991) 289-299.
30. Stanley decompositions of the bracket ring,
(with N. White), Math. Scandinavica 67
(1990) 183-189.
29. Constructions and complexity of secondary
polytopes, (with L.J. Billera, P. Filliman), Advances
in Mathematics 83 (1990)
155-179.
28. Grobner bases and Stanley decompositions of
determinantal rings, Mathematische Zeitschrift
205 (1990) 137-144.
27. The intrinsic spread of a configuration in
$R^d$, (with J.E. Goodman, R. Pollack), Journal
American Math. Society 3
(1990) 639-651.
26. All $11_3$- and $12_3$-configurations are
rational, (with N. White), Aequationes Mathematicae
39 (1990) 254-260.
25. Nonrealizability proofs in computational geometry,
(with J. Bokowski, J. Richter), Discrete Comput.
Geometry 5 (1990) 333-350.
24. Lawrence polytopes, (with M. Bayer), Canadian
J. Mathematics 17 (1990)
62-79.
23. On the existence of certain smooth toric varieties,
(with J. Gretenkort, P. Kleinschmidt), Discrete
Comput. Geometry 5 (1990)
255-262.
22. Coordinate representation of order types requires
exponential storage, (with J.E. Goodman, R. Pollack),
Proceedings of the 21-st Annual ACM Symposium
on Theory of Computing, Seattle, 1989, pp.
405-410.
21. Introduction to invariant theory in superalgebras,
(with G-C. Rota), in D. Stanton (ed.): Invariant
Theory and Tableaux, I.M.A. Volumes in Mathematics
and its Applications, 19,
Springer, New York, 1989, pp. 1-35.
20. Proposal for a geometric algebra software
package, (with T. Havel, N. White), SIGSAM
Bulletin 23 (1989) 13-15.
19. Grobner bases and invariant theory, (with
N. White), Advances in Mathematics 76
(1989) 245-259.
18. On the matroid stratification of Grassmann
varieties, specialization of coordinates, and
a problem of N. White, Advances in Mathematics
75 (1989) 202-211.
17. Computing final polynomials and final syzygies
using Buchberger's Grobner bases method, Resultate
der Mathematik 15 (1989)
351-360.
16. An infinite family of minor-minimal nonrealizable
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