Mohamed Omar

Department of Mathematics	*Email: momar at* math /dot/ ucdavis #dot# edu**
University of California, Davis

Welcome to my webpage. I am a graduate student at the University of California, Davis. I am supported by an NSERC PGS D doctoral grant. Before coming to Davis, I completed the Double Honours program in Pure Mathematics and Combinatorics & Optimization (2006), and the Master's program in Combinatorics & Optimization (2007) under the supervision of Ian Goulden, both at the University of Waterloo.

Research

My main interests lie in algebraic, combinatorial and asymptotic techniques applied to combinatorics and optimization. Nowadays I have been interested in generating function techniques applied to nonlinear integer optimization. I participate in the CACAO seminar run by my advisor Jesus De Loera. Below is a list of my research articles:

Eagle, C., Gao, Z., Omar, M., Panario, D., Richmond, B. Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers. To Appear, Discrete Mathematics and Theoretical Computer Science

Omar, M. Combinatorial Approaches To The Jacobian Conjecture. Master's Thesis, University of Waterloo (2007).

Omar, M., Panario, D., Richmond, B., Whitely, J. Asymptotics of Largest Components in Combinatorial Structures. Algorithmica. Vol. 46, Issue: 3-4. pp.493-503 (2006).

Courses

I am not taking classes this summer.

Teaching

(Spring 2008) Modern Algebra (MAT 150C, Discussion Instructor & Grader)

(Winter 2008) Integral Calculus (MAT 21B, Discussion Instructor)

(Fall 2007) Integral Calculus (MAT 21B, Discussion Instructor)

Mock Algebra Prelims

For those of you interested in my mock Algebra Prelims, here they are!

Mohamed Omar

Research

Courses

Teaching

(Spring 2008) Modern Algebra (MAT 150C, Discussion Instructor & Grader)

(Winter 2008) Integral Calculus (MAT 21B, Discussion Instructor)

(Fall 2007) Integral Calculus (MAT 21B, Discussion Instructor)

Mock Algebra Prelims

Prelim 1

Prelim 2

Prelim 3

Prelim 4

Prelim 5