Carl A. Miller
Research Fellow in Computer Science
University of Michigan, Ann Arbor

Curriculum vitae
Research statement (from 2009)
Teaching statement

E-mail: carlmi @ umich.edu

Research:

My research focus is on mathematical problems that arise in computer science (especially quantum computing). The common theme in my work is an attempt to borrow elegant ideas from abstract subjects (such as algebraic geometry, algebraic topology, and category theory) and apply them to problems in theoretical computer science.

My previous research work was in pure mathematics. I wrote my dissertation on algebraic geometry in characteristic p.

Activities:

I run a research group on quantum communication (along with Yaoyun Shi).

Papers:

Upper bounds on the accuracy of an assisted classical channel. (Co-authors: Brett Hemenway, Yaoyun Shi, Mary Wootters.)
Matrix pencils and entanglement classification. (Co-authors: Eric Chitambar and Yaoyun Shi.)
Journal of Mathematical Physics 51, 072205 (2010).
An Euler-Poincare bound for equicharacteristic etale sheaves. (A condensed version of my dissertation.)
Algebra & Number Theory 4 (2010), No. 1, 21-45.

Exponential iterated integrals and the relative solvable completion of the fundamental group of a manifold.
Topology 44 (2005) 351-373.

Teaching:

Winter 2010: EECS 376 (Foundations of Computer Science)

Fall 2009: Math 312 (Applied Modern Algebra)

Winter 2009: Math 567 (Introduction to Coding Theory)

Fall 2008: Math 425 (Introduction to Probability)

Winter 2008: Math 217 (Linear Algebra)

Fall 2007: Math 115 (Calculus I)