Rules for the use of angle brackets in TypeScript

With questions like this, I’d recommend reading the spec, especially the Grammar section. Syntax like < something > is used in

1. Type Parameters

   • Defined as < TypeParameterList > in section 3.6.1

   • Used with declarations and call signatures of classes, interfaces, functions and more

     function heat<T>(food: T): T { return food; }
               //^^^^^ Type parameter list
     
     class Pizza<T, E extends Cheese> { toppingA: T; toppingB: E }
              //^^^^^^^^^^^^^^^^^^^^ Type parameter list
     

2. Type Arguments

   • Defined as < TypeArgumentList > in section 3.6.2

   • Used with references to generic types and calls to generic functions

     var pizza: Pizza<Pepperoni, Mozzarella>;
                    //^^^^^^^^^^^^^^^^^^^^^^ Type argument list
     pizza = heat<{ toppingA: Pepperoni, toppingB: Mozzarella}>(ingredients) 
                //^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Type argument list
     

     Update 2018-07-01:
     As of version 2.9, generic type arguments can also be used in JSX elements and tagged templates.

      <MenuItem<Pizza> toppings={[Pepperoni, Mozzarella]} />
             //^^^^^^^ Type argument list
     
      const ratingHtml = escapeUserInput<string | number> `Customer ${feedback.customer.username} rated this pizza with <b>${feedback.rating}</b>/10!`
                                       //^^^^^^^^^^^^^^^^ Type argument list
     

3. Type Assertions

   • Defined and used as < Type > UnaryExpression where UnaryExpression comes from EcmaScript standard in section 4.16

     var ingredients = {
         toppingA: new Pepperoni,
         toppingB: <Mozzarella> fridge.takeSomeCheese()
                 //^^^^^^^^^^^^ Type assertion
     };
     

4. JSX expressions (when enabled)

   • Not documented in the spec, but should follow the the syntax of JSX, which is basically an expression like

     <JSXElementName JSXAttributes(optional)> JSXChildren(optional) </JSXElementName>
     

     or

     <JSXElementName JSXAttributes(optional) />