# Jose Perea (Northeastern)

Date

Friday March 10, 20232:30 pm - 3:30 pm

Location

Jeffery Hall, Room 234## Math & Stats Department Colloquium

**Friday, March 10th, 2023**

**Time:** 2:30 p.m. **Place:** Jeffery Hall, Room 234

**Speaker:** Jose Perea (Northeastern)

**Title:** The underlying Topology of Data

**Abstract:** Topology is the branch of mathematics concerned with shapes and their spatial properties. In this talk I’ll show how several ideas from classic algebraic topology – like cohomology, classifying spaces and vector bundles – can be used in machine learning tasks such as dimensionality reduction, time series analysis and data alignment.

Dr. Perea earned his Ph.D. in Mathematics from Stanford University in 2011, and a B.Sc. in Mathematics from Universidad del Valle (Summa cum laude and Valedictorian) in 2006. He was a postdoc in the depart- ment of Mathematics at Duke from 2011 to 2015, and a long term visitor of the Institute for Mathematics and its Applications (IMA) at the University of Minnesota during the Fall of 2014. In August of 2015 he joined Michigan State University as an Assistant Professor with joint appointments in the department of Computational Mathematics, Science and Engineering (CMSE), and the department of Mathematics. Dr. Perea moved to Northeastern University in the Fall of 2021 as an Associate Professor in the department of Mathematics and the Khoury College of Computer Sciences.

The work of Dr. Perea has been supported by grants from DARPA, the National Science Foundation, the Center for Business and Social Analytics, and an NSF CAREER award.