Ruth Luo
I am an Assistant Professor of Mathematics at the University of South Carolina.
I am interested in problems in combinatorics, specifically graph theory and hypergraph theory.
Please excuse the sparseness of this website, it is under construction!
Here is a video of how to pronounce my last name.
Contact
Email: ruthluo (at) sc.edu
Office: Leconte 406
Academic History
2010-2014 - B.S., Carnegie Mellon University
2016 - M.S., University of Illinois at Urbana-Champaign
2014-2019 - Ph.D., University of Illinois at Urbana-Champaign (advised by Alexandr Kostochka)
2019-2022 - NSF Postdoctoral Fellow and Lecturer, University of California, San Diego
2022+ - Assistant Professor, University of South Carolina
Research
Topics that interest me include: extremal combinatorics, Ramsey Theory, probabilistic combinatorics, discrete geometry, cycles in graphs and hypergraphs. Preprints can be found on arXiv.
Below are some selected papers I wrote. For a full list, see my arXiv or my CV.
A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs (with Alexandr Kostochka and Grace McCourt), 2022.
Large Monochromatic Components in Almost Complete Graphs and Bipartite Graphs (with Zoltan Furedi). Electronic Journal of Combinatorics, 2021.
Avoiding long Berge cycles (with Alexandr Kostochka and Zoltan Furedi). Journal of Combinatorial Theory, Series B, 2018.
The maximum number of cliques in graphs without long cycles. Journal of Combinatorial Theory Series B, 2017.
Teaching
Current Courses
In Spring 2024 I will teach Math 776: Graduate Graph Theory II and Math 300: Transition to Advanced Mathematics. Course websites are on Blackboard.
Past Courses
University of South Carolina
Fall 2023: Math 776 - Graduate Graph Theory I
Spring 2023: Math 575H - Honors Discrete Mathematics II
Spring 2023: Math 300 - Transition to Advanced Mathematics
Fall 2022: Math 574H - Honors Discrete Mathematics I
University of California, San Diego
Spring 2022: Math 20A - Calculus I for Science and Engineering
Winter 2022: Math 152 - Applicable Math and Computing (Applied Graph Theory)
Fall 2021: Math 18 - Linear Algebra
Spring 2021: Math 109 - Mathematical Reasoning
Winter 2021: Math 152 - Applicable Math and Computing (Applied Graph Theory)
Fall 2020: Math 18 - Linear Algebra
University of Illinois at Urbana-Champaign
Fall 2018: Math 181 - A Mathematical World
Spring 2018: Math 415 - Applied Linear Algebra (TA)
Fall 2017: Math 415 - Applied Linear Algebra (Head TA)
Spring 2017: Math 415 - Applied Linear Algebra (Head TA)
Fall 2016: Math 415 - Applied Linear Algebra (TA)
Spring 2016: Math 415 - Applied Linear Algebra (TA)
Fall 2015: Math 231 - Calculus II (TA)
Spring 2015: Math 415 - Applied Linear Algebra (TA)
Fall 2014: Math 231 - Calculus II (TA)
Carnegie Mellon University
Spring 2014: 21-241 - Matrices and Linear Transformations (TA)
Here are some review sheets I made for Math 415: Applied Linear Algebra when I was a graduate student. There are probably many typos but you might still find them helpful.