Dr. Zach Teitler came to Boise State University as an Assistant Professor in the Department of Mathematics in 2010. He earned his Ph.D. from the University of Michigan in 2005 and taught from 2005-2010 at Southeastern Louisiana and Texas A&M Universities. Dr. Teitler has published articles and made numerous presentations sharing his research interests in algebraic geometry and commutative algebra, including arrangements (of hyperplanes, points, etc); multiplier ideals (computation, applications to commutative algebra); secant varieties, computing rank, and Hilbert functions; and computer experimentation in mathematics.
Articles
Waring Decompositions of Monomials (with Weronika Buczyńska and Jarosław Buczyński), Journal of Algebra (2013)
A Waring decomposition of a polynomial is an expression of the polynomial as a sum...
The Secant Conjecture in the Real Schubert Calculus (with Luis D. García-Puente, Nickolas Hein, Christopher Hillar, Abraham Martín del Campo, James Ruffo, and Frank Sottile), Experimental Mathematics (2012)
We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians....
Combinatorial Bounds on Hilbert Functions of Fat Points in Projective Space (with Susan Cooper and Brian Harbourne), Journal of Pure and Applied Algebra (2011)
We study Hilbert functions of certain non-reduced schemes A supported at finite sets of points...
The Monodromy Conjecture for Hyperplane Arrangements (with Nero Budur and Mircea Mustaţă), Geometriae Dedicata (2011)
The Monodromy Conjecture asserts that if c is a pole of the local topological zeta...
On the Ranks and Border Ranks of Symmetric Tensors (with J. M. Landsberg), Foundations of Computational Mathematics (2010)
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the...
Contributions to Books
Experimentation at the Frontiers of Reality in Schubert Calculus (with Chris Hillar, Luis García-Puente, Abraham M. del Campo, James Ruffo, Stephen L. Johnson, and Frank Sottile), Gems in Experimental Mathematics (2010)
We describe a general framework for large-scale computational experiments in mathematics using computer resources that...
Unpublished Papers
An Informal Introduction to Computing with Chern Classes (2004)
Some time ago, Dr. Teitler began work on a short expository set of notes on...
Presentations
Geometric Lower Bounds for Rank, Algebraic Geometry Seminar, Mathematics Institute of the Polish Academy of Sciences (2013)
Direct Sum Decomposability of Polynomials and Apolarity, Algebraic Geometry Seminar, University of Warsaw (2013)
Software for Computing Multiplier Ideals, Michigan Computational Algebraic Geometry Conference, Oakland University (2012)
Multiplier ideals are interesting for a range of applications in birational geometry, commutative algebra, and...
Experimentation at the Frontiers of Reality in Schubert Calculus (with Chris Hillar, Luis García-Puente, Abraham M. del Campo, James Ruffo, Stephen L. Johnson, and Frank Sottile), American Mathematical Society Central Section Meeting (2009)
We describe the setup, design, and running of an experiment utilizing a supercomputer that is...