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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
Noah J. Bergam
About me
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Posts
Future Blog Post
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Blog Post number 4
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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
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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
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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
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
Portfolio item number 1
Short description of portfolio item number 1
Portfolio item number 2
Short description of portfolio item number 2
publications
talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
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).
Regression on Ice: Function approximation for the mathematically-inclined glaciologist.
Outreach, Glaciology Hub at University of Buffalo, 2023
I am writing a mini-textbook on the mathematics of regression in the context of glaciology research. The motivation is to bring awareness of mathematical methods and mindsets to practicing scientists and scientists-in-training.
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.