The MathNet Korea
Information Center for Mathematical Science


Information Center for Mathematical Science


Bernd Sturmfels
이름 Bernd Sturmfels 영어이름 Bernd Sturmfels
이메일 소속기관 Dept. of Mathematics University of California Berkeley
home Tropical implicitization and mixed fiber polytopes. Software for algebraic geometry IMA Vol. Math. Appl. (2008), Vol 148, Pages
home Toric geometry of cuts and splits. Special volume in honor of Melvin Hochster Michigan Math. J. (2008), Vol 57, Pages 689-709
home Semidefinite representation of the $k$-ellipse. Algorithms in algebraic geometry IMA Vol. Math. Appl. (2008), Vol 146, Pages
home Elimination theory for tropical varieties Math. Res. Lett. (2008), Vol 15, Pages 543-562
home The hyperdeterminant and triangulations of the 4-cube Math. Comp. (2008), Vol 77, Pages 1653-1679
home With contributions and an editors' epilogue Notices Amer. Math. Soc. (2008), Vol 55, Pages 467-473
home Three counter-examples on semi-graphoids. Combin. Probab. Comput. (2008), Vol 17, Pages 239-257
home Epistasis and shapes of fitness landscapes Statist. Sinica (2007), Vol 17, Pages 1317-1342
home Affine buildings and tropical convexity Albanian J. Math. (2007), Vol 1, Pages 187-211
home Toward the human genotope Bull. Math. Biol. (2007), Vol 69, Pages 2723-2735
home Hyperdeterminantal relations among symmetric principal minors J. Algebra (2007), Vol 316, Pages 634-648
home Conjunctive Bayesian networks Bernoulli (2007), Vol 13, Pages 893-909
home The cyclohedron test for finding periodic genes in time course expression studies Stat. Appl. Genet. Mol. Biol. (2007), Vol 6, Pages
home Computing the integer programming gap Combinatorica (2007), Vol 27, Pages 367-382
home Tropical discriminants J. Amer. Math. Soc. (2007), Vol 20, Pages 1111-1133
home The Newton polytope of the implicit equation Mosc. Math. J. (2007), Vol 7, Pages 327-346,35
home The mathematics of phylogenomics SIAM Rev. (2007), Vol 49, Pages 3-31
home Algebraic factor analysis: tetrads, pentads and beyond Probab. Theory Related Fields (2007), Vol 138, Pages 463-493
home Computing tropical varieties J. Symbolic Comput. (2007), Vol 42, Pages 54-73
home Monomial dynamical systems over finite fields Complex Systems (2006), Vol 16, Pages 333-342
home On the toric algebra of graphical models Ann. Statist. (2006), Vol 34, Pages 1463-1492
home Evolution on distributive lattices J. Theoret. Biol. (2006), Vol 242, Pages 409-420
home Combinatorial secant varieties Pure Appl. Math. Q. (2006), Vol 2, Pages 867-891
home The maximum likelihood degree Amer. J. Math. (2006), Vol 128, Pages 671-697
home Minimizing polynomials via sum of squares over the gradient ideal Math. Program. (2006), Vol 106, Pages 587-606
home Resultants in genetic linkage analysis J. Symbolic Comput. (2006), Vol 41, Pages 125-137
home Biology Algebraic statistics for computational biology (2005), Vol , Pages 125-159
home Computation Algebraic statistics for computational biology (2005), Vol , Pages 43-84
home Algebra Algebraic statistics for computational biology (2005), Vol , Pages 85-124
home Statistics Algebraic statistics for computational biology (2005), Vol , Pages 3-42
home Phylogenetic algebraic geometry. Projective varieties with unexpected properties Walter de Gruyter GmbH & Co. KG, Berlin (2005), Vol , Pages
home Matroid polytopes, nested sets and Bergman fans Port. Math. (N.S.) (2005), Vol 62, Pages 437-468
home What is dots a Gröbner basis? Notices Amer. Math. Soc. (2005), Vol 52, Pages 1199-1200
home Solving the likelihood equations Found. Comput. Math. (2005), Vol 5, Pages 389-407
home On the rank of a tropical matrix. Combinatorial and computational geometry Math. Sci. Res. Inst. Publ. (2005), Vol 52, Pages
home Algebraic geometry of Bayesian networks J. Symbolic Comput. (2005), Vol 39, Pages 331-355
home The graph of monomial ideals J. Pure Appl. Algebra (2005), Vol 201, Pages 250-263
home First steps in tropical geometry. Idempotent mathematics and mathematical physics Contemp. Math. (2005), Vol 377, Pages
home Combinatorial commutative algebra Graduate Texts in Mathematics (2005), Vol 227, Pages
home Erratum for: ''Tropical convexity'' Doc. Math. (2004), Vol 9, Pages 205-206
home Parametric inference for biological sequence analysis Proc. Natl. Acad. Sci. USA (2004), Vol 101, Pages 16138-1614
home Tropical geometry of statistical models Proc. Natl. Acad. Sci. USA (2004), Vol 101, Pages 16132-1613
home Classification of six-point metrics Electron. J. Combin. (2004), Vol 11, Pages
home Algebraic recipes for integer programming Proc. Sympos. Appl. Math. (2004), Vol 61, Pages
home Short rational functions for toric algebra and applications J. Symbolic Comput. (2004), Vol 38, Pages 959-973
home Multigraded Hilbert schemes J. Algebraic Geom. (2004), Vol 13, Pages 725-769
home Supernormal vector configurations. J. Algebraic Combin. (2004), Vol 19, Pages 297-313
home Tropical convexity. Doc. Math. (2004), Vol 9, Pages 1-27
home The tropical Grassmannian Adv. Geom (2004), Vol 4, Pages 389-411
home Minimizing polynomial functions DIMACS Ser. Discrete Math. Theoret. Comput. Sci. (2003), Vol 60, Pages
home Algebraic unimodular counting. Algebraic and geometric methods in discrete optimization Math. Program. (2003), Vol 96, Pages 183-203
home Higher Lawrence configurations J. Combin. Theory Ser. A (2003), Vol 103, Pages 151-164
home Alexander duality in subdivisions of Lawrence polytopes Adv. Geom. (2003), Vol 3, Pages 177-189
home Toric hyperKähler varieties Doc. Math. (2002), Vol 7, Pages 495-534
home Algorithms for the toric Hilbert scheme. Computations in algebraic geometry with Macaulay Algorithms Comput. Math. (2002), Vol 8, Pages
home Teaching the geometry of schemes. Computations in algebraic geometry with Macaulay Algorithms Comput. Math. (2002), Vol 8, Pages
home Ideals, varieties and Macaulay 2. Computations in algebraic geometry with Macaulay Algorithms Comput. Math. (2002), Vol 8, Pages
home Elimination theory in codimension 2. J. Symbolic Comput. (2002), Vol 34, Pages 119-135
home Solving systems of polynomial equations CBMS Regional Conference Series in Mathematics (2002), Vol 97, Pages
home Binomial residues Ann. Inst. Fourier (Grenoble) (2002), Vol 52, Pages 687-708
home Syzygies of oriented matroids Duke Math. J. (2002), Vol 111, Pages 287-317
home Gröbner bases of abelian matrix groups. Symbolic computation: solving equations in algebra, geometry, and engineering Contemp. Math. (2001), Vol 286, Pages
home Rational hypergeometric functions Compositio Math. (2001), Vol 128, Pages 217-239
home Syzygies of unimodular Lawrence ideals J. Reine Angew. Math. (2001), Vol 534, Pages 169-186
home A sagbi basis for the quantum Grassmannian J. Pure Appl. Algebra (2001), Vol 158, Pages 347-366
home Four counterexamples in combinatorial algebraic geometry J. Algebra (2000), Vol 230, Pages 2802-294
home Generic and cogeneric monomial ideals. Symbolic computation in algebra, analysis, and geometry J. Symbolic Comput. (2000), Vol 29, Pages 691-708
home Solving algebraic equations in terms of $scr A$-hypergeometric series. Formal power series and algebraic combinatorics Discrete Math. (2000), Vol 210, Pages 171-181
home Gröbner deformations of hypergeometric differential equations Algorithms and Computation in Mathematics (2000), Vol 6, Pages
home Monomial ideals and planar graphs. Applied algebra, algebraic algorithms and error-correcting codes Lecture Notes in Comput. Sci. (1999), Vol 1719, Pages
home Oriented matroids Encyclopedia of Mathematics and its Applications (1999), Vol 46, Pages
home The co-Scarf resolution. Commutative algebra, algebraic geometry, and computational methods Springer, Singapore (1999), Vol , Pages
home Cutting corners Adv. in Appl. Math. (1999), Vol 23, Pages 29-48
home Hypergeometric polynomials and integer programming Compositio Math. (1999), Vol 115, Pages 185-204
home Gröbner bases and hypergeometric functions. Gröbner bases and applications London Math. Soc. Lecture Note Ser. (1998), Vol 251, Pages
home Numerical Schubert calculus. Symbolic numeric algebra for polynomials J. Symbolic Comput. (1998), Vol 26, Pages 767-788
home deformations of regular holonomic systems Proc. Japan Acad. Ser. A Math. Sci. (1998), Vol 74, Pages 111-113
home Polynomial equations and convex polytopes Amer. Math. Monthly (1998), Vol 105, Pages 907-922
home Cellular resolutions of monomial modules J. Reine Angew. Math. (1998), Vol 502, Pages 123-140
home Syzygies of codimension $2$ lattice ideals Math. Z. (1998), Vol 229, Pages 163-194
home A toric ring with irrational Poincaré-Betti series C. R. Acad. Sci. Paris Sér. I Math. (1998), Vol 326, Pages 141-146
home Lattice walks and primary decomposition. Mathematical essays in honor of Gian-Carlo Rota Progr. Math. (1998), Vol 161, Pages
home Monomial resolutions Math. Res. Lett. (1998), Vol 5, Pages 31-46
home Residues and esultants J. Math. Sci. Univ. Tokyo (1998), Vol 5, Pages 119-148
home Algebraic algorithms for sampling from conditional distributions Ann. Statist. (1998), Vol 26, Pages 363-397
home Introduction to resultants. Applications of computational algebraic geometry Proc. Sympos. Appl. Math. (1998), Vol 53, Pages
home How to shell a monoid Math. Ann. (1998), Vol 310, Pages 379-393
home Generic lattice ideals J. Amer. Math. Soc. (1998), Vol 11, Pages 363-373
home Non-commutative Gröbner bases for commutative algebras Proc. Amer. Math. Soc. (1998), Vol 126, Pages 687-691
home Hypergeometric polynomials and integer programming. (Japanese) Research on the theory and applications of computer algebra Sūrikaisekikenkyūsho Kōkyūroku (1997), Vol , Pages 31-33
home Equations defining toric varieties. Algebraic geometry Proc. Sympos. Pure Math., (1997), Vol 62, Pages
home Structural Gröbner basis detection Appl. Algebra Engrg. Comm. Comput. (1997), Vol 8, Pages 257-263
home Variation of cost functions in integer programming Math. Programming (1997), Vol 77, Pages 357-387
home Computing Hopf bifurcations. I. SIAM J. Numer. Anal. (1997), Vol 34, Pages 1-21
home Bernstein's theorem in affine space Discrete Comput. Geom. (1997), Vol 17, Pages 137-141
home Mixed monomial bases. Algorithms in algebraic geometry and applications Progr. Math. (1996), Vol 143, Pages
home Intersection theory on toric varieties Topology (1997), Vol 36, Pages 335-353
home Computing multidimensional residues. Algorithms in algebraic geometry and applications Progr. Math. (1996), Vol 143, Pages
home A normal form algorithm for modules over $k[x,y]/langle xyrangle$ J. Algebra (1996), Vol 184, Pages 1001-1024
home Primitive partition identities. Bolyai Soc. Math. Stud., 2 (1996.), Vol , Pages
home Binomial ideals Duke Math. J. (1996), Vol 84, Pages 1-45
home Gröbner bases and convex polytopes University Lecture Series (1996), Vol 8, Pages
home The polytope of all triangulations of a point configuration Doc. Math. (1996), Vol 1, Pages 103-119
home Introduction to Chow forms. Invariant methods in discrete and computational geometry Kluwer Acad. Publ., Dordrecht (1995), Vol , Pages
home GRIN: an implementation of Gröbner bases for integer programming. Integer programming and combinatorial optimization Lecture Notes in Comput. Sci. (1995), Vol 920, Pages
home Initial complexes of prime ideals Adv. Math. (1995), Vol 116, Pages 365-376
home Gröbner bases of lattices, corner polyhedra, and integer programming Beiträge Algebra Geom. (1995), Vol 36, Pages 281-298
home On vector partition functions J. Combin. Theory Ser. A (1995), Vol 72, Pages 302-309
home Gröbner bases and triangulations of the second hypersimplex. Combinatorica (1995), Vol 15, Pages 409-424
home Bounds on degrees of projective schemes Math. Ann. (1995), Vol 302, Pages 417-432
home Intersection theory on spherical varieties J. Algebraic Geom. (1995), Vol 4, Pages 181-193
home A polyhedral method for solving sparse polynomial systems Math. Comp. (1995), Vol 64, Pages 1541-1555
home Iterated fiber polytopes Mathematika (1994), Vol 41, Pages 348-363
home Viro's theorem for complete intersections Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) (1994), Vol 21, Pages 377-386
home On the number of real roots of a sparse polynomial system Fields Inst. Commun. (1994), Vol 3, Pages
home A note on lattice simplices and toric varieties Amer. J. Math. (1994), Vol 116, Pages 1337-1339
home Minimal polynomials and sparse resultants. Zero-dimensional schemes (Ravello, 1992), (1994), Vol , Pages 317-324
home A quantitative Steinitz' theorem. Festschrift on the occasion of the 65th birthday of Otto Krötenheerdt Beiträge Algebra Geom. (1994), Vol 35, Pages 125-129
home Finding sparse systems of parameters J. Pure Appl. Algebra (1994), Vol 94, Pages 143-157
home On the Newton polytope of the resultant J. Algebraic Combin. (1994), Vol 3, Pages 207-236
home Multigraded resultants of Sylvester type J. Algebra (1994), Vol 163, Pages 115-127
home Cellular strings on polytopes Proc. Amer. Math. Soc. (1994), Vol 122, Pages 549-555
home A note on polynomial reduction. J. Symbolic Comput. (1993), Vol 16, Pages 273-277
home Algorithms in invariant theory Texts and Monographs in Symbolic Computation. (1993), Vol , Pages
home Sparse elimination theory. Computational algebraic geometry and commutative algebra Sympos Math., XXXIV (1993), Vol , Pages
home Product formulas for resultants and Chow forms Math. Z. (1993), Vol 214, Pages 377-396
home Oriented matroids Encyclopedia of Mathematics and its Applications (1993), Vol 46, Pages
home A nonextremal Camion basis Linear Algebra Appl. (1993), Vol 187, Pages 195-199
home Extension spaces of oriented matroids Discrete Comput. Geom. (1993), Vol 10, Pages 23-45
home Minkowski addition of polytopes: computational complexity and applications to Gröbner bases SIAM J. Discrete Math. (1993), Vol 6, Pages 246-269
home Maximal minors and their leading terms Adv. Math. (1993), Vol 98, Pages 65-112
home Duality and minors of secondary polyhedra J. Combin. Theory Ser. B (1993), Vol 57, Pages 258-268
home Asymptotic analysis of toric ideals. Mem. Fac. Sci. Kyushu Univ. Ser. A (1992), Vol 46, Pages 217-228
home Chow polytopes and general resultants Duke Math. J. (1992), Vol 67, Pages 189-218
home Algorithms for the Quillen-Suslin theorem J. Algebra (1992), Vol 145, Pages 231-239
home Fiber polytopes Ann. of Math. (2) (1992), Vol 135, Pages 527-549
home Unimodular fans, linear codes, and toric manifolds. Discrete and computational geometry DIMACS Ser. Discrete Math. Theoret. Comput. Sci. (1990), Vol 6, Pages 179--186
home Computational algebraic geometry of projective configurations. Invariant-theoretic algorithms in geometry J. Symbolic Comput. (1991), Vol 11, Pages 595-618
home Computing combinatorial decompositions of rings Combinatorica (1991), Vol 11, Pages 275-293
home On the synthetic factorization of projectively invariant polynomials. Invariant-theoretic algorithms in geometry J. Symbolic Comput (1991), Vol 11, Pages 439-453
home Stanley decompositions of the bracket ring Math. Scand. (1990), Vol 67, Pages 183-189
home Smooth toric varieties with small Picard number are projective Topology (1991), Vol 30, Pages 289-299
home On the topology and geometric construction of oriented matroids and convex polytopes Trans. Amer. Math. Soc. (1991), Vol 325, Pages 389-412
home Constructions and complexity of secondary polytopes Adv. Math. (1990), Vol 83, Pages 155-179
home Gröbner bases and Stanley decompositions of determinantal rings Math. Z. (1990), Vol 205, Pages 137-144
home The intrinsic spread of a configuration in $Rsp d$ J. Amer. Math. Soc. (1990), Vol 3, Pages 639-651
home All $11sb 3$ and $12sb 3$-configurations are rational Aequationes Math. (1990), Vol 39, Pages 254-260
home Lawrence polytopes Canad. J. Math. (1990), Vol 42, Pages 62-79
home Nonrealizability proofs in computational geometry Discrete Comput. Geom. (1990), Vol 5, Pages 333-350
home Gröbner bases and invariant theory Adv. Math. (1989), Vol 76, Pages 245-259
home Introduction to invariant theory in superalgebras. Invariant theory and tableaux IMA Vol. Math. Appl. (1990), Vol 19, Pages
home Computational synthetic geometry Lecture Notes in Mathematics (1989), Vol 1355, Pages
home On the matroid stratification of Grassmann varieties, specialization of coordinates, and a problem of N. White Adv. Math. (1989), Vol 75, Pages 202-211
home Computing final polynomials and final syzygies using Buchberger's Gröbner bases method. Results Math. (1989), Vol 15, Pages 351-360
home An infinite family of minorminimal nonrealizable $3$-chirotopes Math. Z. (1989), Vol 200, Pages 583-589
home Arrangements of lines and pseudolines without adjacent triangles. J. Combin. Theory Ser. A (1989), Vol 50, Pages 24-32
home Uniform oriented matroids without the isotopy property Discrete Comput. Geom. (1989), Vol 4, Pages 97-100
home Gröbner bases of toric varieties Tohoku Math. J. (2) (1991), Vol 43, Pages 249-261
home Quotients of toric varieties Math. Ann. (1991), Vol 290, Pages 643-655
home Neighborly polytopes and oriented matroids. European J. Combin. (1988), Vol 9, Pages 537-546
home Tridiagonalization of complex matrices and a problem of Longstaff Linear Algebra Appl. (1988), Vol 109, Pages 165-166
home Totally positive matrices and cyclic polytopes. Proceedings of the Victoria Conference on Combinatorial Matrix Analysis Linear Algebra Appl. (1988), Vol 107, Pages 275-281
home Simplicial cells in arrangements and mutations of oriented matroids. Geom. Dedicata (1988), Vol 27, Pages 153-170
home Some applications of affine Gale diagrams to polytopes with few vertices SIAM J. Discrete Math. (1988), Vol 1, Pages 121-133
home Aspects of computational synthetic geometry. I. Algorithmic coordinatization of matroids. Computer aided geometric reasoning (1987), Vol I, II, Pages 57--86
home Cyclic polytopes and $d$-order curves Geom. Dedicata (1987), Vol 24, Pages 103--107
home Polytopal and nonpolytopal spheres: an algorithmic approach Israel J. Math. (1987), Vol 57, Pages 257--271
home On the decidability of Diophantine problems in combinatorial geometry Bull. Amer. Math. Soc. (N.S.) (1987), Vol 17, Pages 121--124
home Boundary complexes of convex polytopes cannot be characterized locally J. London Math. Soc. (2) (1987), Vol 35, Pages 314--326
home Central and parallel projections of polytopes Discrete Math. (1986), Vol 62, Pages 315--318
home On the coordinatization of oriented matroids. Discrete Comput. Geom. (1986), Vol 1, Pages 293--306
home Reell realisierbare orientierte Matroide. Bayreuth. Math. Schr. (1986), Vol 21, Pages 1-13
home The graph of monomial ideals (), Vol , Pages
home Cellular Resolutions of Monomial Modules J. reine angew. Math. (1998), Vol 502, Pages 123-140
home Generic lattice ideals J. Amer. Math. Soc. (1998), Vol 11, Pages 363-373
home Syzygies of codimension 2 lattice ideals Math. Z. (1998), Vol 229, Pages 163-194
home Algorithms in invariant theory. Texts Monogr. Symbol. Comput. (2008), Vol , Pages vi+197
home Normal toric ideals of low codimension. J. Pure Appl. Algebra (2009), Vol 213, Pages 1636-1641
home Open problems in algebraic statistics. IMA Vol. Math. Appl. (2009), Vol , Pages 351-363
home Tropical mathematics. Math. Mag. (2009), Vol 82, Pages 163-173
home Guest editors' foreword [Special issue dedicated to the memory of Victor Klee]. Discrete Comput. Geom. (2009), Vol 42, Pages 131
home How to draw tropical planes. Electron. J. Combin. (2009), Vol 16, Pages 26
home Matrix cubes parameterized by eigenvalues. SIAM J. Matrix Anal. Appl. (2009), Vol 31, Pages 755-766
home Convex rank tests and semigraphoids. SIAM J. Discrete Math. (2009), Vol 23, Pages 1117-1134
home Toric dynamical systems. J. Symbolic Comput. (2009), Vol 44, Pages 1551-1565
home Marginal likelihood integrals for mixtures of independence models. J. Mach. Learn. Res. (2009), Vol 10, Pages 1611–1631
home Polynomial relations among principal minors of a $4\times 4$-matrix. J. Algebra (2009), Vol 322, Pages 4121-4131
home Computer algebra in systems biology. Amer. Math. Monthly (2009), Vol 116, Pages 882-891
home Lectures on algebraic statistics. Oberwolfach Semin. (2009), Vol , Pages
home The algebraic degree of semidefinite programming. Math. Program. (2010), Vol 122, Pages 379–405
home Commuting birth-and-death processes. Ann. Appl. Probab. (2010), Vol 20, Pages 238-266
home Sagbi bases of Cox-Nagata rings. J. Eur. Math. Soc. (JEMS) (2010), Vol 12, Pages 429-459
home The Hilbert scheme of the diagonal in a product of projective spaces. Int. Math. Res. Not. IMRN (2010), Vol , Pages 1741–1771
home Blow-ups of $\Bbb P^{n-3}$ at $n$ points and spinor varieties. J. Commut. Algebra (2010), Vol 2, Pages 223-244
home Siphons in chemical reaction networks. Bull. Math. Biol. (2010), Vol 72, Pages 1448-1463
home Geometry of the restricted Boltzmann machine. Contemp. Math. (2010), Vol , Pages 135–153
home Multivariate Gaussian, semidefinite matrix completion, and convex algebraic geometry. Ann. Inst. Statist. Math. (2010), Vol 62, Pages 603-638
home Dualities in convex algebraic geometry Rend. Mat. Appl. (7) (2010), Vol 30, Pages 285-327
home Quartic curves and their bitangents. J. Symbolic Comput. (2011), Vol 46, Pages 712-733
home Tropical quadrics through three points. Linear Algebra Appl. (2011), Vol 435, Pages 1778-1785
home Orbitopes. Mathematika (2011), Vol 57, Pages 275-314
home The universal Kummer threefold. Exp. Math. (2013), Vol 22, Pages 327–362
home Elliptic curves in honeycomb form. Algebraic and combinatorial aspects of tropical geometry, 87–107 Contemp. Math. (2013), Vol , Pages
home Dualities. Semidefinite optimization and convex algebraic geometry, 203–249 MOS-SIAM Ser. Optim. (2013), Vol , Pages
home A Hilbert scheme in computer vision. Canad. J. Math. (2013), Vol 65, Pages 961–988
home Mixed discriminants. Math. Z. (2013), Vol 274, Pages 761–778
home The entropic discriminant. Adv. Math. (2013), Vol 244, Pages 678–707
home Capacity pre-log of noncoherent SIMO channels via Hironaka's theorem. IEEE Trans. Inform. Theory (2013), Vol 59, Pages 4213–4229
home Monomials, binomials and Riemann-Roch. J. Algebraic Combin. (2013), Vol 37, Pages 737–756
home Combinatorial types of tropical eigenvectors. Bull. Lond. Math. Soc. (2013), Vol 45, Pages 27–36
home Toric cubes. Rend. Circ. Mat. Palermo (2) (2013), Vol 62, Pages 67–78
home Binary cumulant varieties. Ann. Comb. (2013), Vol 17, Pages 229–250
home Matrices with eigenvectors in a given subspace. Proc. Amer. Math. Soc. (2013), Vol 141, Pages 1219–1232
home The number of eigenvalues of a tensor. Linear Algebra Appl. (2013), Vol 438, Pages 942–952
home Geometry of higher-order Markov chains. J. Algebr. Stat. (2012), Vol 3, Pages 1–10
home Algebraic boundaries of Hilbert's SOS cones. Compos. Math. (2012), Vol 148, Pages 1717–1735
home Graphical models for correlated defaults. Math. Finance (2012), Vol 22, Pages 621–644
home The central curve in linear programming. Found. Comput. Math. (2012), Vol 14, Pages 509–540
home Computing linear matrix representations of Helton-Vinnikov curves. Mathematical methods in systems, optimization, and control, 259–277 Oper. Theory Adv. Appl. (2012), Vol , Pages
home Commutative algebra of statistical ranking. J. Algebra (2012), Vol 361, Pages 264–286
home On the convex hull of a space curve. Adv. Geom. (2012), Vol 12, Pages 157–178
home Quartic spectrahedra. Math. Program. (2015), Vol 151, Pages 585–612
home Tensors of nonnegative rank two. Linear Algebra Appl. (2015), Vol 473, Pages 37–53
home Introduction to tropical geometry. Graduate Studies in Mathematics (2015), Vol 161, Pages
home Moduli of tropical plane curves. Res. Math. Sci. (2015), Vol 2, Pages Art. 4, 31
home Fixed points EM algorithm and nonnegative rank boundaries. Ann. Statist. (2015), Vol 43, Pages 422–461
home Exact solutions in structured low-rank approximation. SIAM J. Matrix Anal. Appl. (2014), Vol 35, Pages 1521–1542
home Maximum likelihood for matrices with rank constraints. J J. Algebr. Stat. (2014), Vol 5, Pages 18–38
home Hypersurfaces and their singularities in partial correlation testing. Found. Comput. Math. (2014), Vol 14, Pages 1079–1116
home Tropicalization of classical moduli spaces. Math. Comput. Sci. (2014), Vol 8, Pages 119–145