The Scientific Committee and the Steering Committee are the two principal committees of the Hang Lung Mathematics Awards. The Scientific Committee, comprising world-renowned mathematicians, is the academic and adjudicating body of the Awards. The Steering Committee, comprising mathematicians and representatives from different sectors of society, serves as the advisory body.
The Scientific Committee upholds the academic standard and integrity of Hang Lung Mathematics Awards. Its members actively participate in the evaluation of all project reports, determination of the teams that will be invited to the oral defense, and adjudication at the oral defense.
The Screening Panel under the Scientific Committee handles the initial review of each report, supervises the second and final round of the review process, and liaises with all referees and members of the Scientific Committee regarding the project reports.
The Scientific Committee for the 2008 Hang Lung Mathematics Awards comprises of the following members:
Chair: Professor Shing-Tung Yau | Harvard University |
Professor Tony F. Chan | University of California, Los Angeles |
Professor David C. Chang | Polytechnic Institute of New York University |
Professor Chong-Qing Cheng | Nanjing University |
Professor John H. Coates | University of Cambridge |
Professor Benedict H. Gross | Harvard University |
Professor Ka-Sing Lau | The Chinese University of Hong Kong |
Professor Jian-Shu Li | The Hong Kong University of Science and Technology |
Professor Chang-Shou Lin | National University of Taiwan |
Professor Jill P. Mesirov | Broad Institute of MIT and Harvard |
Professor Kenneth C. Millett | University of California, Santa Barbara |
Professor Ngai-Ming Mok | The University of Hong Kong |
Professor Stanley J. Osher | University of California, Los Angeles |
Professor Duong H. Phong | Columbia University |
Professor Wilfried Schmid | Harvard University |
Professor Tom Yau-Heng Wan | The Chinese University of Hong Kong |
Professor Hung-Hsi Wu | University of California, Berkeley |
The members of the Screening Panel of the 2008 Hang Lung Mathematics Awards are:
Chair: Professor Tom Yau-Heng Wan | The Chinese University of Hong Kong |
Professor Wing Sum Cheung | The University of Hong Kong |
Professor Conan Nai Chung Leung | The Chinese University of Hong Kong |
The Steering Committee serves as an advisory body to Hang Lung Mathematics Awards, and comprises of mathematicians and representatives from different sectors of society, including leading educator and heads of mathematics departments in major Hong Kong universities. It also enlists some members from other Hang Lung Mathematics Awards committees to provide an overall oversight.
The Executive Committee, which reports to the Steering Committee, is responsible for the operation and administration of the competition, as well as managing the Resource Center and acting as the Secretariat for the Awards.
The Steering Committee for the 2008 Hang Lung Mathematics Awards comprises of the following members:
Chair: Professor Sir James A. Mirrlees | 1996 Nobel Laureate in Economics |
Professor Thomas Kwok-Keung Au | The Chinese University of Hong Kong |
Professor Wing-Sum Cheung | The University of Hong Kong |
Professor Ka-Sing Lau | Chairman, Mathematics Department, CUHK |
Professor Jian-Shu Li | The Hong Kong University of Science and Technology |
Professor Lo Yang | Chinese Academy of Sciences |
Mr. Siu-Leung Ma | CEO, Fung Kai Public Schools |
Mr. Chun-Kau Poon | Principal, The Hong Kong Federation of Youth Group Lee Shau Kee College St. Paul Co-educational College (retired) |
Ms Susan Wong | Hang Lung Properties Limited |
Mr. Chee-Tim Yip | Principal, Pui Ching Middle School |
The members of the Executive Committee of the 2008 Hang Lung Mathematics Awards are:
Chair: Professor Thomas Kwok-Keung Au | The Chinese University of Hong Kong |
Dr. Ka-Luen Cheung | The Hong Kong Institute of Education |
Dr. Leung-Fu Cheung | The Chinese University of Hong Kong |
Dr. Charles Chun-Che Li | The Chinese University of Hong Kong |
Secretariat: Ms. Serena Wing-Hang Yip | The Chinese University of Hong Kong |
Topic: | Isoareal and Isoperimetric Deformation of Curves |
Team Members: | Kwok Chung Li, Chi Fai Ng |
Teacher: | Mr. Wing Kay Chang |
School: | Shatin Tsung Tsin Secondary School |
Abstract: | In the report, we want to answer the following question: how to deform a curve such that the rate of change of perimeter is maximum while the area and the total kinetic energy are fixed? First we work on isosceles triangle as a trial. Then we study smooth simple closed curve and obtain information about the velocity of each point of the curve and its relation to the curvature. We also consider the applications of the results and the velocity for the dual isoperimetric problem. |
Topic: | Sufficient Condition of Weight-Balance Tree |
Team Members: | Chi Yeung Lam, Yin Tat Lee |
Teacher: | Mr. Chun Kit Ho |
School: | The Methodist Church Hong Kong Wesley College |
Abstract: | Huffman’s coding provides a method to generate a weight-balance tree, but it is not generating progressively. In other words, we cannot have meaningful output if we terminate the algorithm halfway in order to save time. For this purpose, we want to design an alternative algorithm, therefore this paper aims at finding out a sufficient condition of being a weight-balance tree. In this paper, we have found out the sufficient condition. Besides, as the solution of building a weight-balance tree can be applied to solving other problems, we abstract the problem and discuss it in the manner of graph theory. The applications are also covered. |
Topic: | Fermat Point Extension – Locus, Location, and Local Use |
Team Members: | Fung Ming Ng, Chi Chung Wan, Wai Kwun Kung, Ka Chun Hong |
Teacher: | Mr. Yiu Kwong Lau |
School: | Sheng Kung Hui Tsang Shiu Tim Secondary School |
Abstract: | Published in 1659, the solutions of Fermat Point problem help people find out the point at which the sum of distances to 3 fixed points in the plane is minimized. In this paper, we are going to further discuss when the number of fixed points is greater than 3, the relationship between the fixed points and the point minimizing the sum of distances to more than three given points. Also, we would like to find out if there exists a way such that the location of point minimizing the sum of distances to more than three given points can be determined just by compass and ruler, or approximated by mathematical methods. |
Topic: | A Cursory Disproof of Euler’s Conjecture Concerning Graeco-Latin Squares by means of Construction |
Team Members: | Jun Hou Fung |
Teacher: | Mr. Jonathan Hamilton |
School: | Canadian International School of Hong Kong |
Abstract: | In this report, our team has explored a mathematical structure commonly known as Graeco-Latin squares. Although we do give a broad scope of this field, we are particularly focused on one aspect: Euler’s Conjecture. According to this conjecture, there are certain types of Graeco-Latin squares that do not exist. In this report, we disprove this conjecture by demonstrating a means to construct an infinite number of these so-called non-existent squares. This branch of mathematics is highly related to group theory, combinatorics, and transversal design; therefore, we will also provide a brief overview of these topics throughout this report. |
Topic: | Equidecomposition Problem |
Team Members: | Cheuk Ting Li |
Teacher: | Miss Mee Lin Luk |
School: | La Salle College |
Abstract: | The equidecomposition problem is to divide a shape into pieces, and then use the pieces to form another shape. In this project, we are going to investigate the conditions under which a given shape can be broken down and combined into another specified shape. The classical problem on the equidecomposability of polygons has already been solved by mathematicians. We start by presenting the proof of the classical problem, which is the keystone of this research. Then the problem is generalized to weighted shapes, shape with curves, etc. Some interesting new results are obtained. |
Topic: | 3n+1 Conjecture |
Team Members: | Shun Yip |
Teacher: | Mr. Chi Keung Lai |
School: | Shatin Pui Ying College |
Abstract: | The aim of our project is to investigate the 3n + 1 conjecture. It is very hard to give a general path for each natural number to arrive at 1. So we investigate its negation i.e. there exists a natural number k with no path to 1. There are two possibilities: either ktakes a path which is a cycle to itself after n steps or its path is increasing indefinitely. These two possibilities lead us to study pre-numbers of any odd natural number and the number of peaks of paths. In the project, several interesting results were obtained by studying backward paths, number of peaks and cycles or forward paths. |
Topic: | Geometric Construction – Area Trisection of a Circle |
Team Members: | Shun On Hui, Kin Ho Lo, Kai Ming To, Maureen Tsz Yan Ho , Wai Hang Ng |
Teacher: | Mr. Wai Hung Ho |
School: | Tsuen Wan Public Ho Chuen Yiu Memorial College |
Abstract: | When dividing a cake of circle shape into equal parts, it is quite easy to divide it from the centre. However, if we need to divide it from its edge, how can we accomplish this task accurately? This report aims to find a method to divide the area of a circle into 3 equal parts with two straight lines by Euclidean construction, i.e. the construction with compass and straightedge only. However, we were aware that it is difficult, if not impossible, to find the exact method of construction. Therefore, we try to find some methods to divide the area of circle approximately into three equal parts. In this report, we have three analytic approaches: by Lagrange Interpolating Polynomial, by infinite series of sine function and by method of bisection. Then, we will discuss three methods of construction, which are: inscribing a regular polygon with a large number of sides, inscribing a regular polygon with a small number of sides and bisecting the slope. At last, we will give a comparison of these three methods |
The 2008 Hang Lung Mathematics Awards winners were announced and recognized on December 21, 2008. Seven awards were announced: a Gold Award, a Silver Award, a Bronze Award, and four Honorable Mentions.
Winning Students, teachers, and schools were recognize on stage, and received crystal trophies and certificates from world renowed scholars.
2008 DEFENSE MEETING VIDEO
Please click on the “Playlist” menu below to select the video to watch:
Sufficient Condition of Weight-Balance Tree The Methodist Church Hong Kong Wesley College |
Interesting Findings in Rational Triangles and its relation to an Elliptic Curve Buddhist Sin Tak College |
3n + 1 Conjecture Shatin Pui Ying College |
Least Wet Under Rain Kwok Tak Seng Catholic Secondary School |
The tactics of winning “RISK” S.D.B. NG SIU MUI SECONDARY SCHOOL |
“Fermat Point” – Locus, Location, and Local Use Sheng Kung Hui Tsang Shiu Tim Secondary School |
Analysis of Mastermind Immanuel Lutheran College |
Geometric Construction – Area Trisection of A Circle Tsuen Wan Public Ho Chuen Yiu Memorial College |
Wire In Magnetic Field SKH Lam Woo Memorial Secondary School |
Equidecomposition Problem La Salle College |
Isoareal and Isoperimetric Deformation of Curves Shatin Tsung Tsin Secondary School |
A Cursory Disproof of Euler’s Conjecture Concerning Graeco-Latin Squares By Means of Construction Canadian International School of Hong Kong |
Be a Smart Banker－ A research on 1 vs 1 gambling Shatin Tsung Tsin Secondary School |
Capture King – a Mathematics game Munsang College (HK Island) |
Is there a function for the absolute percentage error in the period of a pendulum when using the standard formula Sha Tin College |