An improved upper bound for the Waring rank of the determinant

Authors: Johns, Garritt, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 14N07

Access URL: http://arxiv.org/abs/2004.06158

A bound for the Waring rank of the determinant via syzygies

Authors: Boij, Mats, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 15A21, 15A69, 14N15, 13D02

Access URL: http://arxiv.org/abs/1908.08896

On the locus of points of high rank

Authors: Buczyński, Jarosław, Han, Kangjin, Mella, Massimiliano, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 14N15, 15A72

Access URL: http://arxiv.org/abs/1703.02829

The Hilbert scheme of 11 points in A^3 is irreducible

Authors: Douvropoulos, Theodosios, Jelisiejew, Joachim, Nødland, Bernt Ivar Utstøl, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 14C05 (primary), 13E10, 13D10 (secondary)

Access URL: http://arxiv.org/abs/1701.03089

Sufficient conditions for Strassen's additivity conjecture

Authors: Teitler, Zach

Source: Illinois J. Math. 59 (2015), no. 4, 1071-1085

Subject Terms: Mathematics - Algebraic Geometry, 15A21, 15A69, 14N15

Access URL: http://arxiv.org/abs/1604.07691

Some examples of forms of high rank

Authors: Buczyński, Jarosław, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 13P05, 15A69, 14N15

Access URL: http://arxiv.org/abs/1503.08253

Product Ranks of the $3\times 3$ Determinant and Permanent

Authors: Ilten, Nathan, Teitler, Zach

Source: Canad. Math. Bull. 59 (2016), no. 2 pp. 311-319

Subject Terms: Mathematics - Algebraic Geometry, 15A21, 15A69, 14M12, 14N15

Access URL: http://arxiv.org/abs/1503.00822

Lower bound for ranks of invariant forms

Authors: Derksen, Harm, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 15A21, 14N15

Access URL: http://arxiv.org/abs/1409.0061

Decompositions of ideals of minors meeting a submatrix

Authors: Neuerburg, Kent M., Teitler, Zach

Subject Terms: Mathematics - Commutative Algebra, 13F50, 13C40

Access URL: http://arxiv.org/abs/1406.6426

Geometric lower bounds for generalized ranks

Authors: Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, Computer Science - Computational Complexity, 15A21, 15A69, 14N15

Access URL: http://arxiv.org/abs/1406.5145

A bound for the Waring rank of the determinant via syzygies

Authors: Boij, Mats, Teitler, Zach

Source: In Linear Algebra and Its Applications 15 February 2020 587:195-214

On Maximum, Typical and Generic Ranks

Authors: Blekherman, Grigoriy, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, Computer Science - Computational Complexity, 15A21, 15A69, 14N15

Access URL: http://arxiv.org/abs/1402.2371

Maximum Waring ranks of monomials

Authors: Holmes, Erik, Plummer, Paul, Siegert, Jeremy, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 13F20

Access URL: http://arxiv.org/abs/1309.7834

Apolarity and direct sum decomposability of polynomials

Authors: Buczyńska, Weronika, Buczyński, Jarosław, Kleppe, Johannes, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 13H10, 14N15

Access URL: http://arxiv.org/abs/1307.3314

Software for multiplier ideals

Authors: Teitler, Zach

Source: JSAG 7 (2015), no. 1, 1--8

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 14F18, 14Q99

Access URL: http://arxiv.org/abs/1305.4435

Power sum decompositions of defining equations of reflection arrangements

Authors: Teitler, Zach, Woo, Alexander

Source: J. Alg. Comb. 41 (2015), Issue 2, 365--383

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Mathematics - Combinatorics, 15A21, 14N15, 20F55, 13A50, 15A69

Access URL: http://arxiv.org/abs/1304.7202

Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements

Authors: Teitler, Zach, Torrance, Douglas A.

Source: J. Pure Appl. Algebra, 219(6):2134-2138, 2015

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 14N20, 13D02, 13H10

Access URL: http://arxiv.org/abs/1209.2075

Waring decompositions of monomials

Authors: Buczyńska, Weronika, Buczyński, Jarosław, Teitler, Zach

Source: J. Algebra, Volume 378, (2013), pages 45-57

Subject Terms: Mathematics - Algebraic Geometry, 15A21, 14N15

Access URL: http://arxiv.org/abs/1201.2922

The monotone secant conjecture in the real Schubert calculus

Authors: Hein, Nickolas, Hillar, Christopher J., del Campo, Abraham Martin, Sottile, Frank, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 14M15, 14P99

Access URL: http://arxiv.org/abs/1109.3436

Recent developments and open problems in linear series

Authors: Bauer, Thomas, Bocci, Cristiano, Cooper, Susan, Di Rocco, Sandra, Dumnicki, Marcin, Harbourne, Brian, Jabbusch, Kelly, Knutsen, Andreas Leopold, Kuronya, Alex, Miranda, Rick, Roe, Joaquim, Schenck, Hal, Szemberg, Tomasz, Teitler, Zach

Subject Terms: Mathematics - Algebraic Geometry, 14C20

Access URL: http://arxiv.org/abs/1101.4363