National University of Singapore

Department of Mathematics

Block S17

10, Lower Kent Ridge Rd
Singapore 119076

Mathematics Building (S17)

Office 05-08

Phone: +65 6516 7803

E-mail: (my first name) (at) nus (dot) edu (dot) sg

Click here for the course webpage from MA6211 Morse Theory (Semester 1, 2013-14).

Research. Gauge theory, Higgs bundles and quiver varieties.

The Topology and Geometry Seminar is held on Wednesdays from 3-4pm during semester.

**Conferences.**

I am co-organising the workshop Geometry, Topology and Dynamics of Moduli Spaces at the Institute for Mathematical Sciences (IMS) in Singapore from August 1-19, 2016.

**Past Conferences.**

In the past I have co-organised the programs The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles from July 7-August 29, 2014 at the Institute for Mathematical Sciences (IMS) in Singapore and the research term on the Geometry and Physics of Moduli Spaces from 14 April-11 July at ICMAT in Madrid.

I am a member of the GEAR Network and NUS is a node of this network.

**For students.**

Careers after university. Here are some useful resources for people considering majoring in mathematics.

You can do anything with a math degree.

Interesting reading/viewing.

- Check out the Interactive Geometry Illustrations from the MA2219 "Introduction to Geometry" class.

- This year's Nobel Prize in Physics was awarded to a group of physicists who used topology to explain phenomena in condensed matter physics.

- The habits of highly mathematical people also contains a good description of why mathematical thinking is important (even in non-mathematical careers).

- A beautiful explanation of how to visualise gravity curving spacetime.

- An explanation of how data analysis was used to solve the disruptions on the Circle Line.

- A data analysis approach to what makes great writing.

- Here are some interesting math talks available on the internet.

- A video on how geometry came to the rescue during the banking crisis of 2007.

- An explanation of how Bayes' theorem can be misused. Here is a very readable (and detailed) introduction to Bayes' theorem.

- The CEO of one of America's biggest companies explains why his math degree is more useful than his MBA.

- IBM put their quantum computer on the cloud. You can access the "quantum experience" here.

- A famous example of sampling bias in election polling.

- A nice interactive illustration of the Scissors Congruence Theorem, which says that any simple polygon can be cut into finite pieces and rearranged to form any other simple polygon of equal area. Can you figure out an algorithm for doing this?

- What happens when you divide by zero on a mechanical calculator?

- A nice explanation of the usefulness of Game Theory.