• Bachelors in Physics
• Ph.D. in Mathematics

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

In Preparation

1. Carraher, J.; Ferrara, M.; Morris, T. and Santana, M. Characterizing Forbidden Subgraphs that Imply Pancyclicity in 4-connected, Claw-free Graphs.

2014

2. DeBiasio, L.; Ferrara, M. and Morris, T. Improved degree conditions for 2-factors with k cycles in hamiltonian graphs. In Discrete Math., 320 (0): 51-54, 2014. pdf.. 
3. Diemunsch, J.; Ferrara, M.; Graffeo, S. and Morris, T. On 2-factors With a Bounded Number of Odd Components. In Discrete Math., 323 (0): 35-42, 2014. pdf.. 

2013

4. Busch, A. H; Jacobson, M. S; Morris, T.; Plantholt, M. J and Tipnis, S. K Improved Sufficient Conditions for the Existence of Anti-Directed Hamiltonian Cycles in Digraphs. In Graphs Combin., 29 (3): 359-364, 2013. pdf..  doi.. 

2012

5. Ferrara, M.; Morris, T. and Wenger, P. Pancyclicity of 4-Connected, Claw-free, P₁₀-free Graphs. In Journal of Graph Theory, 71 (4): 435-447, 2012. pdf.. 

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, P₁₀-free graphs , University of Louisville, Louisville, KY May 14, 2011
• Pancyclicity of 4-connected, claw-free, P₁₀-free graphs , University of Colorado Denver, Denver, CO Apr 9, 2011
• Pancyclicity of 4-connected, claw-free, P₁₀-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