ruth luo

About


I am currently an NSF Postdoctoral Fellow at UC San Diego. 🌴

I received my PhD in Mathematics from the University of Illinois at Urbana-Champaign (2014-2019), supervised by Alexandr Kostochka. Before that I received my Bachelors of Science in Mathematical Sciences from Carnegie Mellon (2010-2014).



Feel free to contact me!
Email: ruluo (at) ucsd.edu
Office: AP&M 6333

Research


I am mostly interested in graph theory, extremal combinatorics, and probabilistic combinatorics. My Erdős number is at most 2!

Papers and preprints
If you are looking for a link to a paper, try checking my arXiv.

  1. Dirac’s Theorem for hamiltonian Berge cycles in uniform hypergraphs. (with Alexandr Kostochka and Grace McCourt) preprint.
  2. Forbidding K_{2,t}- traces in triple systems. (with Sam Spiro) Electronic Journal of Combinatorics.
  3. Large monochromatic components in almost complete graphs and bipartite graphs. (with Zoltan Furedi) Electronic Journal of Combinatorics.
  4. Induced Turán problems and traces of hypergraphs. (with Zoltan Furedi) preprint.
  5. Conditions for a bigraph to be super-cyclic. (with Alexandr Kostochka, Mikhail Lavrov, and Dara Zirlin) Electronic Journal of Combinatorics.
  6. Longest cycles in 3-connected hypergraphs and bipartite graphs. (with Alexandr Kostochka, Mikhail Lavrov, and Dara Zirlin) Journal of Graph theory.
  7. Berge cycles in non-uniform hypergraphs. (with Zoltan Furedi and Alexandr Kostochka) Electronic Journal of Combinatorics.
  8. Towards the Small Quasi-Kernel Conjecture. (with Alexandr Kostochka and Songling Shan) preprint.
  9. Super-pancyclic hypergraphs and bipartite graphs. (with Alexandr Kostochka and Dara Zirlin) Journal of Combinatorial Theory, Series B.
  10. On 2-connected hypergraphs with no long cycles. (with Zoltan Furedi and Alexandr Kostochka) Electronic Journal of Combinatorics.
  11. Avoiding long Berge cycles II, exact bounds for all n. (with Zoltan Furedi and Alexandr Kostochka) to appear in Journal of Combinatorics.
  12. On r-uniform hypergraphs with circumference less than r. (with Alexandr Kostochka) Discrete Applied Mathematics.
  13. Avoiding long Berge cycles. (with Zoltan Furedi and Alexandr Kostochka) Journal of Combinatorial Theory.
  14. A variation of a theorem of Posa. (with Zoltan Furedi and Alexandr Kostochka) Discrete Mathematics.
  15. Stability in the Erdos--Gallai Theorem on cycles and paths, II. (with Zoltan Furedi, Alexandr Kostochka, and Jacques Verstraete) Discrete Mathematics.
  16. Extensions of a theorem of Erdos on nonhamiltonian graphs. (with Zoltan Furedi and Alexandr Kostochka) Journal of Graph Theory.
  17. The maximum number of cliques in graphs without long cycles. Journal of Combinatorial Theory, Series B.
  18. A stability version for a theorem of Erdos on nonhamiltonian graphs. (with Zoltan Furedi and Alexandr Kostochka) Discrete Mathematics.
  19. A forest building process on simple graphs.(with Zhanar Berikkyzy, Steve Butler, Jay Cummings, Kristin Heysse, Paul Horn, and Brent Moran) Discrete Mathematics.
  20. Signed quasi-clique merger: a new clustering method for signed networks with positive and negative edges. (with Xingqin Qi, Edgar Fuller, Rong Luo, and Cun-Quan Zhang) International Journal of Pattern Recognition and Artificial Intelligence.


Additionally, I have served as a graduate mentor for three undergraduate research projects through the Illinois Geometry Lab: Spring 2015 - Collaboration graphs and cluster analysis under Steve Bradlow, Spring 2016 - Interactive Learning Tools for Linear Algebra under Cary Malkiewich and Jenya Sapir, Fall 2017 - The Four Color Theorem: Archival Documentation and Outreach under Jeremy Tyson.

Teaching


I am currently teaching Math 18 at UCSD. Please access the course information at Canvas.

I have had the pleasure of teaching thousands of students during my graduate and undergraduate career. In 2018, I won the Department TA Instructional Award from the UIUC Mathematics department.

In the past I have taught the following courses.
At University of California, San Diego

  • Spring 2021 - Lecturer for Math 109: Mathematical Reasoning (55 students, 87.8% student recommendation)
  • Winter 2021 - Lecturer for Math 152: Applicable Math and Computing (Applied Graph Theory) (94 students, 97.6% student recommendation)
  • Fall 2020 - Lecturer for Math 18: Linear Algebra (175 students, 98.8% student recommendation)

At University of California, San Diego

  • Fall 2018 - 1 section of Math 181: A Mathematical World (Instructor).**
  • Spring 2018 - 5 sections of Math 415: Applied Linear Algebra (TA).**
  • Fall 2017 - 5 sections of Math 415: Applied Linear Algebra (Head TA).**
  • Spring 2017 - 5 sections of Math 415: Applied Linear Algebra (Head TA).**
  • Fall 2016 - 5 sections of Math 415: Applied Linear Algebra (TA).**
  • Spring 2016 - 4 sections of Math 415: Applied Linear Algebra (TA).**
  • Fall 2015 - 2 sections of Math 231: Calculus II (TA).**
  • Spring 2015 - 4 sections of Math 415: Applied Linear Algebra (TA).**
  • Fall 2014 - 2 sections of Math 231: Calculus II (TA).*

* = On the list of Teachers Ranked as Excellent by their students
** = * + outstanding rating (4.8+/5)

Old review material for Applied Linear Algebra

At Carnegie Mellon University

  • Spring 2014 - 1 section of 21-241: Matrices and Linear Transformations (Linear Algebra) (TA).


From Linear Algebra and Its Applications by David Lay