ESP Biography
MILAN HAIMAN, MIT Senior studying math
Major: Not available. College/Employer: MIT Year of Graduation: 2023 

Brief Biographical Sketch:
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 upright 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 upright 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.
