# Research in the Classroom

For the past ten years, I have been developing a teaching methodology that integrates authentic research activities directly into classroom activities, thereby exposing students to the mathematical science research enterprise early in their college years. Specifically, I developed a Linear Algebra course and a Graph Theory course that have built-in research components to give a much larger than usual number of students a taste of research within the course itself. Students undertake a term project with the following goals:

Students develop expertise in a set of techniques for analyzing data;

Students learn the mathematics underlying the techniques in a rigorous manner;

Students understand how the data drives the mathematics and vice-versa;

Students connect mathematics to a modern pressing real-world issue by analyzing data and making decisions about a societal issue that matters to them;

Student's communicate their analysis to a general audience.

Below is a list of undergraduate research projects I supervised where students did a varying amount of research. Most did original projects on applications of mathematics of interest to them, gathering and analyzing data using the methods learned in class. A few read and synthesized papers and these are marked as “reanalysis.” I've given several talks on this approach to integrating research with teaching, all listed on the "Communications" page. Let me know if you would like to hear about it.

**Spring 2019**

Kenji Coleman-Yamada: Network analysis of Chinese language compound words

**Spring 2018**

Wendy Chen: Paris 2E Network

Michael Crowder: Passing Effect on Basketball

Erica Guaman-Garcia: Graph Theory analysis of my Instagram network

Jordyn Green: Connections between Cartoons

Avery Jiang: Madrid Train Bombing Terrorist Network (reanalysis)

Peisi Li: Network Analysis of the movie Love Actually

Yvonne Lin: Social Network of Gervy’s Zebra (reanalysis)

You Jun Liang: CP Air Route Map (reanalysis)

Reem Saad: Romeo and Juliet's Social Network

Anthony Juarez: Connections in the Game

Izabella Pinkovskaya: Network of Thrones

Xioli Tang: A Postman’s Connection

Chinwei Wang: Network of Visa Free Countries

Ashlina Wang: TED Talks Connection

Lizabeth Yagupolskiy: Grey’s Anatomy Network

**Fall 2017 **

Mary Anna Kivenson: Centrality measures of internal migration (Honors Thesis)

Maniza Pritila: Using graph theory to analyze student performance

Max Shteyman: Best measures for Supreme Court landmark decisions

Robert Wagner: Social analysis of Yelp data

**Fall 2014 **

Graham Beekman: Vaccination Strategies with centrality measures

Rivka Morosow: Centrality Analysis of Manhattan Road Networks

Anastasia Naderiants: Centrality measures of book-crossing network

**Spring 2013**

Jean Marc Cadet: Centrality in Criminal Networks

Jeremy Mezarina: Morphological Variability in Biology (

*reanalysis*)Cori Mizrahi: Homophily in Social Networks

Oluwakemi Omotunde: Protein-Protein Interaction Network (

*reanalysis*)Lexi René: Cascading Failure in the Power Grid (

*reanalysis*)Michael Squitieri: Centrality Measures in the Wikipedia Mathematics Network (Presented at the Council for Undergraduate Research Conference in April 2014.)

**Spring 2012**** **

Nina Berstein: Place-Rated Data in Sociology (

*reanalysis*)Jessica Dorismond: Vendor Selection in Business Management

Nkaa Esprit: Asset Allocations in Quantitative Finance (

*reanalysis*)Richard Gerlach: Analyzing data from the World Bank using multivariable regression techniques

Daavid Moseley: Sunspot Data in Astronomy

Michelle Herssein: Baby Weight Analysis

Qiang Wang: Impact of the 1952 Mine Safety Act on mine fatalities (

*reanalysis*)Linlin Zheng: Water quality in Environmental Science

Chunmei Zhu: Satisfaction Research in Marketing

**Spring 2011**

David Herssein: Image Compression using the Singular Value Decomposition

Stan Kats: Quadratic Forms and the Fifteen Theorem (

*reanalysis*)Adil Billa: An application of PCA to US Swap Interest Rates

Konstantin Andrianov: Latent Semantic Indexing

Oscar Perez: Principle Component Analysis in Gene Expression (

*reanalysis*)