# Education

- Ph.D. in Applied Mathematics (May, 2014) specializing in Graph Theory from University of Colorado Denver
- M.S. in Mathematics (May, 2008) specializing in Graph Theory from Illinois State University
- B.S. in Physics (Dec, 2002) from Illinois State University
- Associates in General Education (May, 2000) from Illinois Central College

# Publications

## Articles

### 2014

- Improved degree conditions for 2-factors with
*k*cycles in hamiltonian graphs. In Discrete Math.,**320**(0): 51-54, 2014. pdf.. - On 2-factors With a Bounded Number of Odd Components. In Discrete Math.,
**323**(0): 35-42, 2014. pdf..

### 2013

- Improved Sufficient Conditions for the Existence of Anti-Directed Hamiltonian Cycles in Digraphs. In Graphs Combin.,
**29**(3): 359-364, 2013. pdf.. doi..

### 2012

- Pancyclicity of 4-Connected, Claw-free,
*P*_{10}-free Graphs. In Journal of Graph Theory,**71**(4): 435-447, 2012. pdf..

### In Preparation

- Characterizing Forbidden Subgraphs that Imply Pancyclicity in 4-connected, Claw-free Graphs.

# Research Interests

My research interests lie in the field of graph theory. I am primarily interested in structural graph theory and the majority of my research has centered around cycle structures in graphs. I am also interested in extremal graph theory and finding extremal conditions to guarantee structrual properties. I also am interested in developing computational techniques for application to structural graph theory.

# Work History

#### Teaching Experience

- Assistant Professor
at California State University, Sacramento
- Introduction to Abstract Mathematics (Intro to Proofs), Fall 2015 (1 section)
- Calculus II, Fall 2015 (2 sections)
- Calculus I, Summer 2015 (1 section)
- Calculus II, Spring 2015 (2 sections)
- Calculus I, Fall 2014 (2 sections)

- Adjunct Instructor
at University of Colorado Denver
- Introduction to Abstract Mathematics (Intro to Proofs), Summer 2014 (1 section)
- Applied Linear Algebra, Summer 2014 (1 section)

- Graduate Teaching Assistant
at University of Colorado Denver
- Introduction to Abstract Mathematics (Intro to Proofs), Summer 2014 (1 section)
- Calculus I, Summer 2013 (1 section)
- Combined Linear Algebra and Differential Equations, Spring 2013 (1 section)
- Pre-Calculus, Fall 2009 (1 section)
- Trigonometry, Spring 2010 (1 section)
- Business Calculus, Spring 2009 (1 section)
- College Algebra Recitation, Fall 2008 (1 section)

- Adjunct Instructor
at University of Colorado Denver, International College Beijing
- Introduction to Abstract Mathematics (Intro to Proofs), Fall 2012 (2 sections)

- Instructor
at University of Colorado Denver, Pre-Collegiate Development Program
- Pre-Collegiate Physics, Summer 2009 (1 section)

- Graduate Teaching Assistant
at Illinois State University
- Math for Liberal Arts Recitation, Spring 2009 (2 sections)

- Undergraduate Teaching Assistant
at Illinois State University
- Physics Lab, 2001 (2 sections)

#### Fellowships

- Lynn Bateman Memorial Fellowship
at University of Colorado Denver
(University of Colorado Denver internal fellowship, 2013-2014)
- UCD GK12 Transforming Experiences Project
at University of Colorado Denver
(NSF grant #DGE 0742434, 2010-2012)

#### Research Presentations

**Cycle Structures in Graphs**,*University of Wyoming*, Laramie, WY*Mar 25, 2014***(Invited)****Cycle Structures Beyond Hamiltonicity**,*University of Nebraska*, Lincoln, NE*Sep 17, 2013***(Invited)****Hamiltonicity and Other Cycle Structures**,*Illinois State University*, Normal, IL*Sep 5, 2013***(Invited)****On 2-factors With a Bounded Number of Odd Components**,*Middle Tennessee State University*, Murfreesboro, TN*May 25, 2013***Cloud Conveyor Systems**,*University of Colorado Denver*, Denver, CO*Mar 3, 2013***Forbidden subgraphs for disjoint matchings**,*Metropolitan State University of Denver*, Denver, CO*Apr 14, 2012***Forbidden subgraphs for pancyclicity and disjoint matchings**,*University of Nebraska*, Lincoln, NE*Mar 6, 2012***(Invited)****Forbidden subgraphs and pairs of disjoint 1-factors**,*University of Colorado Denver*, Denver, CO*Mar 3, 2012***Forbidden subgraphs for pancyclicity and disjoint matchings**,*University of Colorado Denver*, Denver, CO*Dec 5, 2011***Forbidden subgraphs for pancyclicity and disjoint matchings**,*Central China Normal University*, Wuhan, China*Jun 2, 2011***(Invited)****Pancyclicity of 4-connected, claw-free, P**,_{10}-free graphs*University of Louisville*, Louisville, KY*May 14, 2011***Pancyclicity of 4-connected, claw-free, P**,_{10}-free graphs*University of Colorado Denver*, Denver, CO*Apr 9, 2011***Pancyclicity of 4-connected, claw-free, P**,_{10}-free graphs*University of Colorado Denver*, Denver, CO*Mar 5, 2011***Anti-directed hamilton cycles**,*Colorado State University*, Fort Collins, CO*Apr 17, 2010*

#### Community Volunteer

- Math on My Mind
at University of Colorado Denver
- Dec 13, 2010: Otho E. Stuart Middle School
- Apr 5, 2011: High Peaks Elementary
- Sep 26, 2011: Brighton High School
- Nov 1, 2011: West Denver Prep
- Dec 15, 2011: Bromley East Charter School
- Apr 6, 2012: Bromley East Charter School
- Apr 24, 2013: Teller Elementary School
- Oct 25, 2013: Jefferson Academy
- Jan 24, 2014: Bromley East Charter School

#### Previous Jobs

- Engineering
- Engineering Assistant, Caterpillar, Inc: Jun 1997-Jun 1999
- CNC Programmer, Unit Tool and Mahine: Jan 2005-Jul 2005

- Child Care
- Camp Counselor, Camp Kearney: Summer 1999
- Child Care Counselor, Kemmerer Village: Jul 2003-Dec 2003

- Miscellaneous
- Pharmacy Technician, Delavan Family Pharmacy: Jan 2003-Jul 2003
- Construction Laborer, Wagenbach Builders: Oct 2004-Jan 2005
- OTR Truck Driver, USA Truck: Jul 2005-Nov 2006