Homepage of Zachary Miner

Zachary Miner

My Contact Info:
Office: RLM 11.106
Office hours: TuTh 3:00-6:00pm
Email: zminer (at) math.utexas.edu

Teaching info (Fall 2011)

I am currently teaching Math 325K - Discrete Mathematics for beginning mathematicians, engineers, and computer scientists. The course covers logic, proof methods, set theory, and elementary number theory - with a heavy focus on proofs. This course will use an inquiry-based learning approach. The course website is Blackboard.

Syllabus

I am also teaching two large sections of Math 408C - Differential and Integral Calculus, the standard first-year calculus course directed at students in the natural and social sciences and at engineering students. The course website is Blackboard.

Research Interests

My research interests are primarily concerned with heights of algebraic numbers. The study of heights belongs to a very interesting intersection of mathematical theories. My broader research interests are mainly those theories which have contributed to my understanding of heights. Those include: Algebraic and Analytic Number Theory, Arithmetic of Dynamical Systems, Potential Theory, and Functional Analysis.

Papers

A generalization of Dirichlet's S-unit theorem (with P. Fili), preprint (updated 10/5/10).
Norms extremal with respect to the Mahler measure (with P. Fili), J. Number Theory, to appear (updated 5/2/11).
Orthogonal decomposition of the space of algebraic numbers and Lehmer's problem (with P. Fili), preprint (updated 4/3/10).

About me

Curriculum Vitae

I received my bachelor's degree in Mathematics from the University of Texas at Austin in 2004, and stayed on at the university as a graduate student in Number Theory studying under the supervision of Jeffrey Vaaler. I received my Ph.D. in Mathematics in May 2011.