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Math Page
My area of research is
commutative algebra
and
algebraic geometry
(MSC 13 and 14).
I am interested in a range of problems involving commutative algebra and algebraic geometry,
usually with a combinatorial or computational flavor, such as:
computing rank (especially Waring rank),
secant varieties,
and Hilbert functions;
arrangements (of
hyperplanes,
lines,
points, etc);
multiplier ideals
(computation, applications to commutative algebra);
and computer experimentation in mathematics.
My dissertation was titled "Multiplier Ideals of Line Arrangements".
I computed the multiplier ideals of general arrangements of lines through the origin in C^3,
and even for "most" special arrangements.
I studied under Rob Lazarsfeld at University of Michigan.
Me on ArXiv,
me on MathSciNet.
Gallery of selected works.
Publications

Zach Teitler,
Sufficient conditions for Strassen's additivity conjecture
submitted
arXiv:1604.07691 [math.AG]

Jarosław Buczyński, Zach Teitler,
Some examples of forms of high rank,
Collect. Math. 67 (2016), no. 3, 431441
Published paper
arXiv:1503.08253 [math.AG]

Nathan Ilten, Zach Teitler,
Product ranks of the $3 \times 3$ determinant and permanent,
Canad. Math. Bull. 59 (2016), no. 2, 311319
Published paper
arXiv:1503.00822 [math.AG]

Harm Derksen, Zach Teitler,
Lower bound for ranks of invariant forms,
JPAA 219 (2015), no. 12, 54295441
Published paper
arXiv:1409.0061 [math.AG]

Kent M. Neuerburg, Zach Teitler,
Decompositions of ideals of minors meeting a submatrix,
Comm. Alg. 44 (2016), no. 4, 18091820
Published paper
arXiv:1406.6426 [math.AC]

Zach Teitler,
Geometric lower bounds for generalized ranks
arXiv:1406.5145 [math.AG]

Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, Frank Sottile, Zach Teitler
The monotone secant conjecture in the real Schubert calculus,
Exp. Math. 24 (2015), no. 1, 261269
(paper version of extended abstract presented in MEGA 2011)
Published paper
arXiv:1109.3436 [math.AG]

Grigoriy Blekherman, Zach Teitler,
On Maximum, Typical, and Generic Ranks, Math. Ann. 362 (2015), no. 34, 10211031
Published paper
arXiv:1402.2371 [math.AG]

Erik Holmes, Paul Plummer, Jeremy Siegert, Zach Teitler,
Maximum Waring ranks of monomials and sums of coprime monomials,
Comm. Alg. 44 (2016), no. 10, 42124219
Published paper
arXiv:1309.7834 [math.AG]

Weronika Buczyńska, Jarosław Buczyński, Johannes Kleppe, Zach Teitler,
Apolarity and direct sum decomposability of polynomials,
Michigan Math. J. 64 (2015), no. 4, 675719.
Published paper
arXiv:1307.3314 [math.AG]

Zach Teitler,
Software for multiplier ideals,
JSAG 7 (2015), no. 1, 18
Published paper
arXiv:1305.4435 [math.AG]

Zach Teitler, Alex Woo,
Power sum decompositions of defining equations of reflection arrangements,
J. Alg. Comb. 41 (2015), Issue 2, 365383
Published paper
arXiv:1304.7202 [math.AG]

Zach Teitler, Douglas A. Torrance,
CastelnuovoMumford regularity and arithmetic CohenMacaulayness of complete bipartite subspace arrangements,
JPAA 219 (2015), Issue 6, 21342138
Published paper
arXiv:1209.2075 [math.AG]

Weronika Buczyńska, Jarosław Buczyński, Zach Teitler,
Waring decompositions of monomials,
J. Algebra
378 (2013), 4557.
Published paper
arXiv:1201.2922 [math.AG]

Zach Teitler,
Topological criteria for schlichtness,
Proceedings of the Edinburgh Mathematical Society (Series 2)
56 (2013), no. 2,
637640.
Published paper
arXiv:1004.3947 [math.CV]

Javier Elizondo, Paulo LimaFilho, Frank Sottile, Zach Teitler,
Arithmetic toric varieties, Math. Nach. 287 (2014), Issue 23, 216241
Published paper
arXiv:1003.5141 [math.AG]

Luis GarcíaPuente, Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo,
James Ruffo, Frank Sottile, Zach Teitler,
The Secant Conjecture in the real Schubert calculus,
Exp. Math.
21 (2012), no. 3, 252265
Published paper
arXiv:1010.0665 [math.AG]

Thomas Bauer, Cristiano Bocci, Susan Cooper, Sandra Di Rocco, Marcin Dumnicki, Brian Harbourne,
Kelly Jabbusch, Andreas Leopold Knutsen, Alex Küronya, Rick Miranda, Joaquim Roé,
Hal Schenck, Tomasz Szemberg, Zach Teitler,
Recent developments and open problems in linear series
in "Contributions to Algebraic Geometry",
IMPANGA Lecture Notes, August 2012
Published paper
arXiv:1101.4363 [math.AG]

Susan Cooper, Brian Harbourne, Zach Teitler,
Combinatorial bounds on Hilbert functions of fat points in projective space,
J. Pure Appl. Algebra
215 (2011), no. 9, 21652179
Published paper
arXiv:0912.1915 [math.AG]

Nero Budur, Mircea Mustață, Zach Teitler,
The Monodromy Conjecture for hyperplane arrangements,
Geom. Dedicata
153 (2011), 131137
Published paper
arXiv:0906.1991 [math.AG]

Christopher Hillar, Luis GarcíaPuente, Abraham Martín del Campo,
James Ruffo, Zach Teitler, Stephen L. Johnson, Frank Sottile,
Experimentation at the Frontiers of Reality in Schubert Calculus,
Contemp. Math.
517 (2010), 365380
Published paper
arXiv:0906.2497 [math.AG]

J.M. Landsberg, Zach Teitler,
On the ranks and border ranks of symmetric tensors,
Found. Comput. Math. 10 (2010), no. 3, 339366
Published paper
arXiv:0901.0487 [math.AG]

Zach Teitler,
Bounding symbolic powers via asymptotic multiplier ideals,
Ann. Acad. Pedagog. Crac. Stud. Math.
8 (2009), 6777
Published paper
arXiv:0907.4045 [math.AG]

Ulrich Derenthal, Michael Joyce, Zach Teitler,
The nef cone volume of generalized Del Pezzo surfaces,
Algebra & Number Theory
2 (2008), no. 2, 157182
Published paper
arXiv:math/0703202 [math.AG]

Zach Teitler,
A note on Mustață's computation of multiplier ideals of hyperplane arrangements,
Proc. Amer. Math. Soc.
136 (2008), no. 5, 15751579
Published paper
arXiv:math/0610303 [math.AG]

Zach Teitler,
On the intersection of the curves through a set of points in P^2,
J. Pure Appl. Algebra
209 (2007), no. 2, 571581
Published paper
arXiv:math/0508307 [math.AG]

Zach Teitler,
Multiplier ideals of general line arrangements in C^3,
Comm. Alg.
35 (2007), no. 6, 19021913
Published paper
arXiv:math/0508308 [math.AG]
Secant experimental project.
Software

MultiplierIdeals
 a Macaulay2 package
for computing multiplier ideals of special ideals including
monomial ideals, monomial curves, and generic determinantal ideals.

ApolarIdeal
 a Macaulay2 package
for computing apolar ideals

CombinatorialIteration
 a Macaulay2 package
providing iterators for several common combinatorial structures
Selected Presentations
 Colloquium for my application for tenure and promotion, titled
"Recent advances in Waring rank and apolarity"
presented at Boise State on September 5, 2013
 Talk on "Direct sum decomposability of polynomials"
presented at
Interactions between Commutative Algebra and Algebraic Geometry II, Tulane, New Orleans,
September 2829, 2013
 Poster on "Three Directions in Waring Ranks and Apolarity"
presented at Robfest, May 17, 2013
 Colloquium talk on "Ranks of polynomials"
presented at University of Idaho on March 27, 2014
 Pi Day HapPiness: Irrationally Cool Facts About Pi
talk for Boise State Math Club on Friday, March 13, 2015
Expository writing
 Some time ago, I began work on a short expository set of notes
on Chern classes in algebraic geometry, particularly in the context
of enumerative problems.
The notes are not polished.
Some day I hope to finish them;
in the meantime, I have uploaded a draft, in PDF format (21 pages):
An informal introduction to computing with Chern classes
(May 31, 2014).
 Some expository notes based on
talks I gave in the TAMU Several Complex Variables seminar
in February 2008 on multiplier ideals, aimed at relating
resolution of singularities to the problem of
simplifying integrals.
(July 16, 2008: v0.2. Numerous minor improvements.)
Here is a modest collection of links to pages which in turn link to
interesting sources for algebraic geometry.
zteitler@boisestate.edu
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