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.
Here is a video of how to pronounce my last name.
Contact
Email: ruthluo (at) sc.edu
Office: Leconte 406
My work is supported by NSF Award DMS-2452134 and the Simons Travel Grant.
This picture was taken at Okunoshima, Japan, an island full of wild rabbits!
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.
Papers and Preprints
Teaching
Fall 2025: Math 142 - Calculus II; Course website on Blackboard.
University of South Carolina
Spring 2025: Math 778 - Probabilistic Methods, Special Topics (Lecture notes)
Fall 2024: Math 300 - Transition to Advanced Mathematics
Fall 2024: Math 574/574H - Discrete Mathematics I
Spring 2024: Math 776 - Graduate Graph Theory II
Spring 2024: Math 300 - Transition to Advanced Mathematics
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)