ruth luo

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

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.

**Dirac’s Theorem for hamiltonian Berge cycles in uniform hypergraphs.**(with Alexandr Kostochka and Grace McCourt) preprint.**Forbidding K_{2,t}- traces in triple systems.**(with Sam Spiro) Electronic Journal of Combinatorics.**Large monochromatic components in almost complete graphs and bipartite graphs.**(with Zoltan Furedi) Electronic Journal of Combinatorics.**Induced Turán problems and traces of hypergraphs.**(with Zoltan Furedi) preprint.**Conditions for a bigraph to be super-cyclic.**(with Alexandr Kostochka, Mikhail Lavrov, and Dara Zirlin) Electronic Journal of Combinatorics.**Longest cycles in 3-connected hypergraphs and bipartite graphs.**(with Alexandr Kostochka, Mikhail Lavrov, and Dara Zirlin) Journal of Graph theory.**Berge cycles in non-uniform hypergraphs.**(with Zoltan Furedi and Alexandr Kostochka) Electronic Journal of Combinatorics.**Towards the Small Quasi-Kernel Conjecture.**(with Alexandr Kostochka and Songling Shan) preprint.**Super-pancyclic hypergraphs and bipartite graphs.**(with Alexandr Kostochka and Dara Zirlin) Journal of Combinatorial Theory, Series B.**On 2-connected hypergraphs with no long cycles.**(with Zoltan Furedi and Alexandr Kostochka) Electronic Journal of Combinatorics.**Avoiding long Berge cycles II, exact bounds for all n.**(with Zoltan Furedi and Alexandr Kostochka) to appear in Journal of Combinatorics.**On r-uniform hypergraphs with circumference less than r.**(with Alexandr Kostochka) Discrete Applied Mathematics.**Avoiding long Berge cycles.**(with Zoltan Furedi and Alexandr Kostochka) Journal of Combinatorial Theory.**A variation of a theorem of Posa.**(with Zoltan Furedi and Alexandr Kostochka) Discrete Mathematics.**Stability in the Erdos--Gallai Theorem on cycles and paths, II.**(with Zoltan Furedi, Alexandr Kostochka, and Jacques Verstraete) Discrete Mathematics.**Extensions of a theorem of Erdos on nonhamiltonian graphs.**(with Zoltan Furedi and Alexandr Kostochka) Journal of Graph Theory.**The maximum number of cliques in graphs without long cycles.**Journal of Combinatorial Theory, Series B.**A stability version for a theorem of Erdos on nonhamiltonian graphs.**(with Zoltan Furedi and Alexandr Kostochka) Discrete Mathematics.**A forest building process on simple graphs.**(with Zhanar Berikkyzy, Steve Butler, Jay Cummings, Kristin Heysse, Paul Horn, and Brent Moran) Discrete Mathematics.**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 -

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.

** = * + outstanding rating (4.8+/5)

Old review material for Applied Linear Algebra

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).*

** = * + 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).

- My Preprints on Arxiv
- Doug West's List of Combinatorics Conferences
- Open Problems - Graph Theory and Combinatorics
- Map coloring program - made by undergraduate students for our Spring 2018 IGL project
- Project 415x - a linear algebra based game from our Spring 2016 IGL project
- GEAR Collaboration Chart - visualization of the GEAR network from our Spring 2015 IGL project