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

E-mail: carlmi @ umich.edu
Office: 4817 Beyster Bldg.

Research:

My research focus is on quantum information theory, an interesting field that has a convergence of ideas from computer science, mathematics, and physics. The main theme of my research is developing mathematical tools to solve problems in quantum communication and computation. I run a research group on quantum information processing (along with Yaoyun Shi).

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

Expository papers:

Evasiveness of graph properties and topological fixed-point theorems.
Foundations and Trends in Theoretical Computer Science 7 (2011), No. 4, 337-415.

Research papers:

On optimal entanglement assisted one-shot classical communication.
Brett Hemenway, Carl A. Miller, Yaoyun Shi, Mary Wootters.
Optimal robust quantum self-testing by binary nonlocal XOR games.
Carl A. Miller, Yaoyun Shi.
Matrix pencils and entanglement classification.
Eric Chitambar, Carl A. Miller, 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:

Fall 2013: EECS 203 (Discrete Mathematics)

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)