Welcome all!

Thursday, 22 May 2025

8/9D Jiuzhaigou/Mt Emei/Leshan Trip 14 to 22 May

Saturday, 3 May 2025

IOI 2025 Singapore Team

The 37th International Olympiad in Informatics 2025 (IOI 2025) will be hosted by Sucre, Bolivia from 27 July to 3 August 2025.

The IOI 2025 Singapore Team comprises the following students (not in order of ranking):

Brian Xiao Boyang, RI Year 3 (IOI 2024 Silver)

Sun Beichen, HCI Year 6 (IOI 2024 Bronze)
Ang Wei Bin, NUSH Year 6

Siew Jing Hong, NUSH Year 6

Wednesday, 23 April 2025

2D1N City Square/Komtar/Midvalley Southkey

Booked from airbnb. S$89

Dinner at Palsaik Korean BBQ & Hotpot. About RM282

Movie at GSC Midvalley Southkey. RM12 per person

Breakfast at Roast & Coffee 三姐妹. RM114

Lunch at Hock Kee City Square 福气安康 RM119

Sunday, 20 April 2025

IMO 2025 Singapore Team

The 66th International Mathematical Olympiad 2025 (IMO 2025) will be held from 10 to 20 July 2025, and hosted by Sunshine Coast QLD, Australia.

The Singapore Team comprises the following students: (not in order of ranking)

Yang Yihan, RI Y5 (IMO 2024 Gold)

Zhao Yaoqi, HCI Y6 (IMO 2024 Silver)

Zhang Juntao, RI Y6 (IMO 2024 Silver)

Akash Thiagarajan, NUSH Y5 (IMO 2024 Silver)

Tey Yi Xiang, HCI Y4

Gao Zixiang, NUSH Y4

Congratulations!

Sunday, 30 March 2025

SLMath Talks by Lim Jeck

Vimeo Video: 5 Minute Talk

February 3rd, 2025

Vimeo Video: Sums of Algebraic Dilates

March 19th, 2025 (09:30 am to 10:30 am)

Abstract:

Given a real number λ and a finite set A of real numbers, how small can the size of the sum of dilate A + λ.A be in terms of |A|? If λ is transcendental, then |A + λ.A| grows superlinearly in |A|, whereas if λ is algebraic, then |A + λ.A| only grows linearly in |A|. There have been several works in recent years to prove optimal linear bounds in the algebraic case, but tight bounds were only known when λ is an algebraic integer or of the form (p/q)^{1/d}.

In this talk, we prove tight bounds for sums of arbitrarily many algebraic dilates |A + λ1.A + ... + λk.A|. We will discuss the main tools used in the proof, which include a Frieman-type structure theorem for sets with small sums of dilates, and a high-dimensional notion of density which we call "lattice density". Joint work with David Conlon.