Template (in text title)

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
and

Department of Mathematics
University of Wisconsin, Madison
Madison, WI 53706 USA
ram@math.wisc.edu

Last updates: 25 January 2010

Section heading - some pseudo-maths

A link to a section below.

Some reminder

Know that $$e^{i\pi }+1=\sum _{n=0}^{\infty }\frac{{\left(i\pi \right)}^n}{n!}+1=0\text{,}$$ and stand in awe.

Equations can be inline. A question: is $\varnothing \in {\varnothing }^c$?

You can also have numbered equations. We have

$$\mathrm{Card}\left(\mathbb{Z}\right)={\aleph }_0<\mathrm{Card}\left(2^{\mathbb{Z}}\right)=\mathrm{Card}\left(ℝ\right)=c<\mathrm{Card}\left({ℝ}^{ℝ}\right)$$

which is nice.

Unbulleted list

These are used for proofs.

1. The first list item.
2. Another list item.
3. A list item with a forced label.
27. Another list item with a forced label > 26.

A braceted numbered list

These are used in problem sheets. Now with automatic numbering. Some questions are as follows.

	What does it mean for a function $f\left(x\right)$ to be continuous at $x=a$? Explain how to test if a function is continuous at $x=a$.
	What does it mean for a function $f\left(x\right)$ to be differentiable at $x=a$? Explain how to test if a function is differentiable at $x=a$.
	What does ${\left.\left(df/dx\right)\right|}_{x=a}$ indicate about the graph of $y=f\left(x\right)$? Explain why this is true.

Embedded SVG images

A diagram which uses param.js.

Some sort of 4-way diagram.

Some sort of 3-way diagram.

'popitup' links

A 'popitup' link (to another copy of this page).

		Proof.
	(b) $\Rightarrow$ (a): Let $ℱ$ be a filter and let $\overline{ℱ}$ Something else.

A section title with an anchor (link in section 1 above)

Some text.

Some theorems etc

A proposition.

A lemma.

A theorem.

A corollary.

The Toggler in Action

	List 1
	Subitem 1.a Subitem 1.b
	List 2
	Subitem 2.a Subitem 2.b
	List 3
	Subitem 3.a Subitem 3.b

References [PLACEHOLDER]

[BG] A. Braverman and D. Gaitsgory, Crystals via the affine Grassmanian, Duke Math. J. 107 no. 3, (2001), 561-575; arXiv:math/9909077v2, MR1828302 (2002e:20083)

page history