# ESP Biography

## MILAN HAIMAN, MIT Senior studying math

Major: Not available.

College/Employer: MIT Not Available.

## Past Classes

(Clicking a class title will bring you to the course's section of the corresponding course catalog)

M15286: Catalan Numbers in Splash 2022 (Nov. 19 - 20, 2022)
How many ways can we write a valid sequence of $2n$ parentheses? How many rooted binary trees are there on $n$ vertices? How many up-right paths from $(0,0)$ to $(n,n)$ stay on or below the line $y=x$? In this class, we will explain what these questions mean and why they are all answered by a sequence called the Catalan Numbers.

M13448: Catalan Numbers in Splash 2019 (Nov. 23 - 24, 2019)
How many ways can we write a valid sequence of $$2n$$ parenthesis? How many rooted binary trees are there on $$n$$ vertices? How many up-right paths from $$(0,0)$$ to $$(n,n)$$ stay below the line $$y=x$$? In this class, we will explain what these questions mean and why they are all answered by a sequence called the Catalan Numbers.