**Published on** January 23rd, 2013 |
*by Stephanie*

# Adam Rentsch

**Position: **Honours Student, La Trobe University**.
**

**How do you introduce yourself at parties?**

If involving my close peers: “I’m not a physicist.”

Else: “Yes, mathematics. No not accounting.”

**Why mathematics?**

Putting aside the tedium of everyday arithmetic, mathematics really appealed to me as a set of logic and truths that have fascinating outcomes, all of which can be proven [or proven not to be provable…]. It really is just so beautiful. The deeper you go down the rabbit hole, the easier you can become amazed and aware at just how vast the topic is.

**Do you think that mathematicians deserve the “geek” tag?**

Perhaps a little less of the ‘geek’ tag, and a little more of the ‘eccentric’ label.

** **

**What area of mathematics and why?**

My honours research introduced me to Integrable Systems, which stood out to me as a wonderful field that opens up to current research and developments. That, and everything seems to just naturally fall into place.

**What has maths done for you lately?**

Oh, nothing much more that govern the laws of the universe and every aspect of life, science and technology.

**Do you have a favourite application or theory of maths?**

From topology we have the Borsuk-Ulam theorem, which blows my mind every time I think about it. Try applying it to our world:

Take any two phenomenon that can be represented by continuous maps in two dimensional space (R^{2}). Example: If we know the current temperature of a location, and the current barometric pressure at that same location. Then there is ALWAYS a pair of antipodal points — two points on a sphere are antipodal if they are separated by 180 degrees — somewhere on the earth where the temperature is exactly the same AND the pressure is exactly the same.

We also take from this the corollary of the Ham Sandwich theorem

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