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2005 participants and projects

Yu-Hin Au

Home university: 

University of Waterloo

Supervisor: 

Levent Tunçel

Project title: 

Geometric Representations of Graphs and the Stable Set Problem

Balasingham Balamohan

Home university: 

University of Toronto

Supervisor: 

Bruce Richmond

Project title: 

A Riemann Hypothesis for Graphs

Comments:

As a USRA I worked on understanding the construction of Ramanujan graphs. I was challenging and rewarding experience. My supervisor helped me whenever I was unable to progress. There were weekly seminars which introduced to us various topics in Combinatorics and Optimization. The experience I gained as USRA had been a very good preparation for my graduate studies in Mathematics I am currently pursuing.

Maurice Cheung

Home university: 

University of Waterloo

Supervisor: 

Romy Shioda/Levent Tunçel

Project title: 

Optimization for Functional Genomics

Comments:

I worked under the supervision of Professor Shioda and Professor Tunçel this term. My work centered on finding the optimal price of a product line that maximize a company's profit/revenue. We investigated various formulations of this problem as a mathematical program to find the optimal solution, as well as different approximation algorithms that finds "good" feasible solution.
I would recommend the Undergraduate Research Assistant (URA) to anyone who loves math especially those who would like pursue graduate studies in mathematics. You will gain valuable experience in doing research and get to know the faculty members better.

Jonathan Dietrich

Home university: 

University of Waterloo

Supervisor: 

Jochen Koenemann

Project title: 

On finding k edge-disjoint spanning trees in k-edge connected graphs

Lalit Jain

Home university: 

University of Waterloo

Supervisor: 

Chris Godsil

Alejandro Morales

Home university: 

University of Waterloo

Supervisor: 

Andris Ambainis/David Jackson

Mohamed Omar

Home university: 

University of Waterloo

Supervisor: 

David Jackson

Project title: 

Towards a genus g Tutte invariant for the r-ring

Jamie Sikora

Home university:

University of Waterloo

Supervisor: 

Henry Wolkowicz

Project title: 

Protein Folding and Molecular Conformation using Euclidean Distance Matrices

Comments:

This summer I worked with Professor Henry Wolkowicz on a few different projects such as matrix differentiation and 3D anchored graph realizations. As I would like to continue my studies in optimization, working with Professor Wolkowicz, an expert in the field, has been a great experience. The summer URA program is a great way to learn about the joys of doing research. In summary, getting paid to do optimization is definitely awesome!

William Slofstra

Home university: 

University of Waterloo

Supervisor: 

Ian Goulden/Andu Nica

Project title: 

A Combinatorial Extension of the Harer-Zagier Formula