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).

Here is a youtube video of how to pronounce my last name.

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!**Selected papers and preprints**

For a full list of preprints and published papers, please see my CV. If you are looking for a link to a paper that is not included below, try checking my arXiv.

- (with Zoltán Füredi)
**Induced Turan problems and traces of hypergraphs**. (Paper) - (with Alexandr Kostochka and Songling Shang)
**Towards the Small Quasi-Kernel Conjecture**. (Paper) - (with Alexandr Kostochka and Dara Zirlin)
**Super-pancyclic hypergraphs and bipartite graphs**. (Paper) - (with Zoltán Füredi and Alexandr Kostochka)
**Avoiding long Berge cycles**, Journal of Combinatorial Theory, Series B, 2018. (Paper, Talk slides) - (with Zoltán Füredi and Alexandr Kostochka)
**Extensions of a theorem of Erdős on nonhamiltonian graphs**. Journal of Graph Theory, 2018. (Paper) -
**The maximum number of cliques in graphs without long cycles.**Journal of Combinatorial Theory, Series B, 2017. (Paper, Talk slides)

Additionally, I have served as a graduate mentor for three undergraduate research projects through the Illinois Geometry Lab: Spring 2015 -

I am currently not teaching (until Fall 2020).

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 Illinois**

**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