I'm Pedro Paredes from Princeton University

I'm a Lecturer at Princeton University in the Department of Computer Science.

Before joining Princeton, I completed my PhD in 2022 at Carnegie Mellon University, where I was very lucky to be advised by Ryan O'Donnell. Prior to that, I graduated from University of Porto in 2017 with a Bacherlor's and a Master's degree, where I was also lucky to be advised by Pedro Ribeiro.

My primary research interest is in Theoretical Computer Science. In particular I am interested in:
Spectral Graph theory, Pseudorandomness, Complexity theory, Combinatorics.

Publications

For a full list of publications check out my Google Scholar or DBLP.

Surveys and Theses

  • P. Paredes. On the Expansion of Graphs.
    PhD Thesis | PDF
  • P. Ribeiro, P. Paredes, M. E.P. Silva, D. Aparicio, F. Silva.
    A Survey on Subgraph Counting: Concepts, Algorithms and Applications to Network Motifs and Graphlets.
    ACM Computing Surveys '21 | PDF

Talks

  • Spectrum preserving short cycle removal on regular graphs | STACS'21, Mar 21 | Video
  • Spectrum preserving operations in regular graphs | UW Theory Seminar, Jan 21 | Video
  • Expander Graphs: Theory and Applications | Talks@DCC, Jul 20
  • Explicit near-Ramanujan graphs of every degree (Joint with S. Mohanty) | STOC'20, Jun 20 | Video
  • Explicit near-Ramanujan graphs of every degree | CMU Theory lunch, Nov 19 | Video

Teaching and Mentoring

Before Princeton

  • Undergraduate Mentor | Jeremy Brennan | CMU 07-400 : Research Practicum in Computer Science
  • Teaching Assistant | CMU 15-751 : TCS Toolkit
  • Teaching Assistant | CMU 15-451 : Algorithms
  • Teaching Assistant | FCUP CC1007 : Data Structures

About me

Math outreach

I was an instructor and co-organizer of the Pan-African Math Circle.

Competitive programming

I'm the head of the scientific committee of the Portuguese National Olympiad or ONI (link in Portuguese).

Here are some problems I authored that I like:

  • European Trip | ICPC SWERC 2022 | link
  • Springboards | USACO 2020 January Contest, Gold | link
  • Topografia dos Onimalaias | ONI'2019 Final Round | link (in Portuguese)
  • Jantar para dois mil | ONI'2018 Selection Round | link (in Portuguese)
  • Chegar ao outro lado | ONI'2017 Final Round | link (in Portuguese)

Miscellaneous