N. Bergam

N. Bergam

Student at Columbia

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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.

Pages

Posts

Future Blog Post

less than 1 minute read

Published:

This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.

Blog Post number 4

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 2

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

publications

talks

teaching

Notes on Probability Theory

Notes from Coursework, MATH4155, 4156, 2023

Here are some typeset notes from probability classes I took at Columbia.

Lectures on Enumerative Combinatorics

Undergraduate course, MATH 3952, Columbia University, 2023

I gave a couple of lectures on q-analogs in enumerative combinatorics. The first two are from a course I took in spring 2023. The last one was from a directed reading in fall 2022.

Notes on Unsupervised Learning

Independent Studies, Verma Lab, Columbia University, 2023

Unsupervised machine learning (UML) is about finding structure in unlabeled data: for instance, partitioning datapoints into groups or finding informative low-dimensional representations of high-dimensional datasets. Theory research in UML is largely concerned with developing algorithms with provable guarantees and establishing the complexity of UML objectives (e.g. density estimation, k-means clustering, manifold hypothesis testing).

Lectures for the Undergraduate Math Society

Club, Columbia Undergraduate Math Society, 2023

I have given a number of lectures to the Undergraduate Math Society, on topics ranging from topological data analysis to combinatorics to spectral graph theory. Here are some lecture notes and slides.

How to graduate early from Columbia

earlygrad, Columbia, 2024

I graduated in three years from Columbia College (the one in New York, not Chicago). To my knowledge, graduating a full year early and foregoing senior year is not a very popular course of action (*1) at elite private colleges, even though many students are perfectly capable of doing so. Some colleges (like Brown) don’t even allow it. Most colleges offer accelerated master’s degree programs to incentivize students to stay the fourth year or even stick around for a fifth or sixth.

chess board

earlygrad, Columbia, 2024

I made the more…minimalist pieces.