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.

Prior to attending UIUC, I received a Bachelor of Science 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!**Papers**

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

(Paper) - (with Zoltán Füredi and Alexandr Kostochka)
**Extensions of a theorem of Erdős on nonhamiltonian graphs**. Submitted.

(Paper) -
**The maximum number of cliques in graphs without long cycles.**Journal of Combinatorial Theory, Series B, 2017.

(Paper, Talk slides) - (with Zoltán Füredi and Alexandr Kostochka)
**A stability version for a theorem of Erdős on nonhamiltonian graphs.***Discrete Mathematics*, 2016.

(Paper, Talk slides, Poster) - (with Zhanar Berikkyzy, Steve Butler, Jay Cummings, Kristin Heysse, Paul Horn, and Brent Moran)
**A forest building process on simple graphs.**Submitted.

(Paper) - (with Xingqin Qi, Edgar Fuller, Rong Luo, and Cun-Quan Zhang)
**Signed quasi-clique merger: a new clustering method for signed networks with positive and negative edges.**International Journal of Pattern Recognition and Artificial Intelligence, 2015.

(Paper)

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

For Fall 2017, I am teaching 5 sections of Math 415: Applied Linear Algebra.

Some review material.In the past I have taught the following courses.

**At University of Illinois**

**Spring 2017**- 5 sections of Math 415: Applied Linear Algebra.

On the list of teachers ranked as excellent by their students (outstanding).**Fall 2016**- 5 sections of Math 415: Applied Linear Algebra.

On the list of teachers ranked as excellent by their students (outstanding).**Spring 2016**- 4 sections of Math 415: Applied Linear Algebra.

On the list of teachers ranked as excellent by their students (outstanding).**Fall 2015**- 2 sections of Math 231: Calculus II.

On the list of teachers ranked as excellent by their students (outstanding).**Spring 2015**- 4 sections of Math 415: Applied Linear Algebra.

On the list of teachers ranked as excellent by their students (outstanding).**Fall 2014**- 2 sections of Math 231: Calculus II.

On the list of teachers ranked as excellent by their students.

**At Carnegie Mellon University**

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

- 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