ruth luo
Department of Mathematics

University of Illinois at Urbana-Champaign

University of Illinois at Urbana-Champaign

Since Fall 2014, I have been a math graduate student at the University of Illinois at Urbana-Champaign.

I am currently working on my PhD. I received a MS in Mathematics from UIUC in 2016. Prior to attending UIUC, I received a BS in Mathematical Sciences from Carnegie Mellon University in 2014.

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

Feel free to contact me!

**Email**: ruthluo2 (at) illinois.edu

**Office**: Coble Hall B2

I am mostly interested in **graph theory**, **extremal combinatorics**, and **probabilistic combinatorics**. My advisor is Alexandr (Sasha) Kostochka. My Erdős number is at most 2!**Recent Work**

For a full list of preprints and published papers, please see my CV.

- (with Zoltán Füredi and Alexandr Kostochka)
**On 2-connected hypergraphs with no long cycles**.

(Paper) - (with Zoltán Füredi and Alexandr Kostochka)
**Avoiding long Berge cycles II, exact bounds for all n**.

(Paper) - (with Alexandr Kostochka)
**On r-uniform hypergraphs with circumference less than r**.

(Paper, Talk slides) - (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)
**A variation of a theorem of Posa**. Discrete Mathematics, 2018.

(Paper) - (with Zoltán Füredi, Alexandr Kostochka, and Jacques Verstraëte)
**Stability in the Erdős--Gallai Theorem on cycles and paths, II**. Discrete Mathematics, 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 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.

I am currently not teaching in Spring 2019.

Review material for Applied Linear Algebra

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

I am currently not teaching in Spring 2019.

Review material for Applied Linear Algebra

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)

**At Carnegie Mellon University**

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

- Department of Mathematics at UIUC
- Combinatorics at UIUC
- Open Problems - Graph Theory and Combinatorics
- 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