I am a sixth year Mathematics PhD student at Purdue University. My advisor is Professor David F. Gleich of Purdue's computer science department. My research interests lie in network analysis, optimization, and machine learning. In particular I've done a lot of work recently on algorithms for graph clustering. In the fall of this year I will begin a postdoctoral position in the Center for Applied Mathematics at Cornell University, working under the supervision of Professors Austin Benson and Jon Kleinberg. Email: lveldt--at--purdue--dot--edu Github: https://github.com/nveldt Twitter: https://twitter.com/n_veldt |
My research is focused on algorithms and complexity results for problems arising in network analysis and data science. This broadly includes work in mathematical optimization, machine learning, matrix computations, and theoretical computer science. To date much of my research has involved the theory and application of clustering algorithms. I have specifically worked on special variants of correlation clustering for partitioning signed datasets, flow-based methods for localized community detection, and fast solvers for convex relaxations of graph clustering objectives. My motivation is to bridge the gap between the best theoretical results and the most practical algorithms for problems in network science and data mining. An overarching goal is to develop methods that are fast, satisfy strong approximation guarantees, and explicitly take into account important features of the real-world networks and datasets they operate on.
I am not teaching this semester, but here is a list of my previous teaching experience.
In Fall of 2015 I received the Purdue Mathematics Department Excellence in Teaching Award:
Purdue Math Department Excellence in Teaching Award 2015
From Fall 2016 to Spring 2017 I organized and ran the Purdue University Numerical Linear Algebra Group, a seminar series on matrix computations and network analysis. All PUNLAG talks are recorded and uploaded to YouTube. The seminar webpage is here. You can subscribe to the Purdue Numerical Linear Algebra YouTube channel at PurdueNLA.
I frequently give local seminar talks on topics in network analysis and numerical linear algebra (often as a part of the PUNLAG seminar mentioned above). Sometimes the talks are on a specific research project I'm working on. Often though I like to take a tool or technique that has been useful in my research and present it in a way that can be more broadly applied to other projects and problems that people might be interested in. Here are some recorded talks on optimization techniques that have been useful in my work.