|Alma mater||Williams College, University of California, Berkeley|
|Known for||Computational complexity, Algorithms, Hardness of approximation, Matrix Multiplication|
|Institutions||California Institute of Technology|
|Doctoral advisor||Christos Papadimitriou|
Christopher Umans is Professor of computer science in the Computing and Mathematical Sciences Department at the California Institute of Technology. He is known for work on algorithms, computational complexity, algebraic complexity, and hardness of approximation.
Umans studied at Williams College, where he completed a BA degree in Mathematics and Computer Science in 1996. He then received a PhD in Computer Science from University of California, Berkeley in 2000 under Christos Papadimitriou. Following his PhD, he was a postdoctoral researcher at Microsoft Research until joining Caltech in 2002.
Umans' research centers broadly around algorithms and complexity. He has made notable contributions to varied areas within this space including random number generation, expanders, and algorithms for matrix multiplication. A notable example is his work on developing a group theoretic approach for matrix multiplication.
Awards and honors
Umans received an NSF CAREER award in 2004 and an Alfred P. Sloan Fellowship in 2005. Additionally, his work has received "Best Paper" awards at the International Conference on Automata, Languages, and Programming (ICALP) and the IEEE Conference on Computational Complexity (CCC).
- A group-theoretic approach to fast matrix multiplication, arXiv:math/0307321, doi:10.1109/SFCS.2003.1238217
- Buchfuhrer, David; Umans, Christopher (January 2011). "The complexity of Boolean formula minimization" (PDF). Journal of Computer and System Sciences (JCSS). Computer Science Department, California Institute of Technology, Pasadena, CA, USA: Elsevier Inc. 77 (1): 142–153. doi:10.1016/j.jcss.2010.06.011. This is an extended version of the conference paper: Buchfuhrer, David; Umans, Christopher (2008). "The Complexity of Boolean Formula Minimization". Written at 35th International Colloquium (ICALP). Proceedings of Automata, Languages and Programming (PDF). Lecture Notes in Computer Science (LNCS). 5125. Berlin / Heidelberg, Germany: Springer-Verlag. pp. 24–35. doi:10.1007/978-3-540-70575-8_3. ISBN 978-3-540-70574-1. Archived (PDF) from the original on 2018-01-14. Retrieved 2018-01-14. This won the Best Paper Award in Track A "Algorithms, Automata, Complexity and Games".
- Sloan Fellows