VITA JOSHUA K. LAMBERT Address: 11935 Abercorn St. Savannah, GA 31419 Phone: (912)344-3127 Email: joshua.lambert@armstrong.edu Webpage: http://math.armstrong.edu/faculty/lambert/ DEGREES: North Dakota State University Ph.D. Mathematics: Graph Theory May 2009 Advisor: Warren Shreve Thesis: Determining the Biplanar Crossing Number of C k C l C m C n. North Dakota State University B.S. Mathematics, May 2004. EMPLOYMENT: Armstrong State University Mathematics Department Assistant Professor July 2009-July 2015. North Dakota State University Mathematics Department Teaching Fellow August 2007-May 2009. North Dakota State College of Science Mathematics Department Distance Education Instructor August 2006-December 2006, August 2007-December 2007. North Dakota State University Mathematics Department Teaching Assistant August 2004-May 2006. RESEARCH AND PUBLICATIONS: 1. J. Lambert, Finding a Biplanar Imbedding of C n C n C l P m, Ars Combinatorica, accepted for publication (2011). 2. M. Budden, N. Calkins, W. N. Hack, J. Lambert, and K. Thompson, Enumeration of Triangles in Quartic Residue Graphs, INTEGERS 11 (2011), #A48. 3. M. Budden, N. Calkins, W. N. Hack, J. Lambert, and K. Thompson, Dirichlet Character Difference Graphs, Acta Mathematica Universitatis Comenianae 82, No. 1 (2013), 21-28.
4. R. Atanasov, M. Budden, and J. Lambert, Character Difference Digraphs over Finite Fields, Rendiconti del Seminario Matematico della Universit di Padova, accepted for publication (2013). 5. R. Atanasov, M. Budden, J. Lambert, K. Murphy, and A. Penland, On Certain Induced Subgraphs of Paley Graphs, Acta Universitatis Apulensis 40 (2014), 51-65. 6. J. Lambert, The Biplanar Crossing Number of C k C l C 2m P n, submitted (2009). 7. M. Budden, J. Hiller, J. Lambert, and C. Sanford, The Preservation of Cliques in the Lifting of Graphs to 3-Uniform Hypergraphs, submitted (2014). 8. M. Budden, J. DiNatale, L. Erickson, R. Fenney, M. Hostetter, W. N. Hack, J. Lambert, and W. Shreve, Nim on Wheels, in progress. 9. J. Lambert, Generalizing to C k C l C m P n : Determining the Biplanar Crossing Number, in progress. 10. R. Atanasov, M. Budden, Z. Hollifield, A. Kimball, J. Lambert, D. Negrea, and N. Smoot, Cliques in Character Difference Graphs, in progress. TALKS/LECTURES: 1. Juggling Act - Invited Talk at Western Carolina University Colloquium - 2015 2. Applications of Euler s Formula - Invited Talk at Augustana College for Sonia Kovalevsky Day - 2014 3. Extensions of Turán s Brick Factory Problem - Invited Talk at Western Carolina University Colloquium- 2014 4. Applying Consecutive Pairs of Rational Residues to Ramsey Numbers - Invited Talk at Shrevefest: A Conference in Honor Warren Shreve at North Dakota State University - 2013 5. The Evolution of a Rail Crossing - Armstrong Atlantic State University/Georgia Southern University Discrete Math Seminar at Armstrong Atlantic State University - 2013 6. Winning Strategies for Nim on Graphs - Invited Talk at Western Carolina University - 2012 7. Nim on Wheels - 25th Cumberland Conference on Combinatorics, Graph Theory, and Computing at East Tennessee State University - 2012 8. The Search for Biplanar Graphs - Discrete Mathematics Seminar at University of South Carolina - 2011 9. Enumerating Triangles in Rational Residue Graphs - AMS Sectional Meeting at Winston Salem, North Carolina - 2011 10. Nim on Wheels - CST Faculty Symposium at Armstrong Atlantic State University - 2011 11. Exploring Rational Residue Graphs - Hudson Colloquium at Armstrong Atlantic State University - 2011 12. Rational Residue Graphs - Invited talk at Western Carolina University Colloquium - 2010 13. Modular Chromatic Numbers - Hudson Colloquium at Armstrong Atlantic State University - 2010 14. The Biplanar Crossing Number of C n C n C l P n - Southeastern Conference on Combinatorics at Florida Atlantic University - 2009 15. The Biplanar Crossing Number of C k C l C m P n - Invited talk at Armstrong Atlantic State University - 2009 16. The Biplanar Crossing Number of C k C l C 2m P n - Combinatorics I- Joint Mathematics Meetings at Washington, District of Columbia - 2009
17. Finding a Biplanar Imbedding of C n C n C l P m - MIGHTY XLVII- Midwest Graph Theory Conference at Illinois Institute of Technology - 2008 18. The Biplanar Crossing Number of C k C l C 2m P n - Algebra and Discrete Mathematics Seminar at North Dakota State University - 2008 19. The Genus 2 Crossing Number of K 9 - Graph Theory Seminar at North Dakota State University - 2007 20. Questions of Crossing Numbers - Graph Theory Seminar at North Dakota State University - 2007 21. How to be a Successful Graduate Student - North Dakota State University Department of Mathematics Teaching Assistant Training - 2007 22. Planar and Nonplanar Degree Sequences - Graph Theory Seminar at North Dakota State University - 2007 23. The Genus of Graphs - Graph Theory Seminar at North Dakota State University - 2007 24. The Genus of a Finite Field - Graph Theory Seminar at North Dakota State University - 2006 25. The Crossing Number of an Infinite Graph - Graph Theory Seminar at North Dakota State University - 2006 26. The Genus of a Hypergraph - Graph Theory Seminar at North Dakota State University - 2006 27. Hypergraphs - Graph Theory Seminar at North Dakota State University - 2006 28. The Automorphism Group of a Graph - Graph Theory Seminar at North Dakota State University - 2006 29. Automorphism Groups of Cayley Graphs - Graph Theory Seminar at North Dakota State University - 2006 30. Cayley Graphs - Graph Theory Seminar at North Dakota State University - 2006 31. The Euler Identity for a 2-cell Imbedding on a Surface with k Handles - Graph Theory Seminar at North Dakota State University - 2005 32. Identifying Surfaces - Graph Theory Seminar at North Dakota State University - 2005 33. Rotational Imbedding of a Graph - Graph Theory Seminar at North Dakota State University - 2005 34. Spanning Trees of a Graph - Graph Theory Seminar at North Dakota State University - 2005 35. A Typical Recitation Section - North Dakota State University Department of Mathematics Teaching Assistant Training - 2005 36. Being a Successful Graduate Student - North Dakota State University Department of Mathematics Teaching Assistant Training - 2005 CONFERENCES ATTENDED: 1. 45th Southeastern International Conference on Combinatorics, Graph Theory, and Computing at Florida Atlantic University in Boca Raton, FL - 2014 2. PaNTS XXI - Palmetto Number Theory Series at Clemson University - 2013 3. Third annual Kennesaw Mountain Undergraduate Mathematics Conference - 2013 4. PaNTS XX - Palmetto Number Theory Series at Davidson College - 2013 5. Shrevefest: A Conference in Honor of Warren Shreve at North Dakota State University in Fargo, ND - 2013
6. AMS/MAA Joint Mathematics Meetings in San Diego, CA - 2013 7. Second Annual Kennesaw Mountain Undergraduate Mathematics Conference at Kennesaw State University in Kennesaw, GA- 2012 8. PaNTS XVII - Palmetto Number Theory Series at Wake Forest University - 2012 9. 25th Cumberland Conference on Combinatorics, Graph Theory, and Computing at East Tennessee State University - 2012 10. SERMON - Southeast Regional Meeting on Numbers at Western Carolina University in Cullowhee, NC - 2012 11. AMS/MAA Joint Mathematics Meetings in Boston, MA - 2012 12. AMS Sectional Meeting at Wake Forest University in Winston Salem, North Carolina - 2011 13. SERMON - Southeast Regional Meeting on Numbers at Armstrong Atlantic State University in Savannah, GA - 2011 14. AMS/MAA Joint Mathematics Meetings in New Orleans, LA - 2011 15. AMS/MAA Joint Mathematics Meetings in San Francisco, CA - 2010 16. AMS Sectional Meeting at Florida Atlantic University in Boca Raton, FL - 2009 17. PANTS X - Palmetto Number Theory Series at Armstrong Atlantic State University in Savannah, GA - 2009 18. 40th Southeastern International Conference on Combinatorics, Graph Theory, and Computing at Florida Atlantic University in Boca Raton, FL - 2009 19. AMS/MAA Joint Mathematics Meetings in Washington, District of Columbia - 2009 20. MIGHTY XLVII- Midwest Graph Theory Conference at Illinois Institute of Technology in Chicago, IL - 2008 TEACHING EXPERIENCE: ARMSTRONG ATLANTIC STATE UNIVERSITY: 1. Abstract Algebra 2. Advanced Linear Algebra 3. Calculus I 4. Calculus II 5. Calculus III 6. College Algebra 7. Combinatorics 8. Differential Equations 9. Elementary Statistics 10. Foundations of Mathematics 11. Graph Theory and Optimization 12. Honors Calculus I 13. Introduction to Mathematical Proof 14. Linear Algebra 15. Mathematics for Educators 16. Precalculus 17. Quantitative Skills and Reasoning 18. Research Seminar 19. Survey of Mathematics (Special Topics Course) 20. Theory of Numbers
NORTH DAKOTA STATE UNIVERSITY: 1. Applied Calculus - Instructor 2. Calculus II - Instructor 3. Calculus III - Instructor 4. College Algebra - Instructor 5. Differential Equations - Instructor 6. Calculus I - Teaching Assistant 7. Calculus II - Teaching Assistant 8. Calculus I Excel Section (Advanced Section) - Teaching Assistant 9. Calculus II Excel Section (Advanced Section) - Teaching Assistant NORTH DAKOTA STATE COLLEGE OF SCIENCE: 1. Computer Literacy 2. Mathematics for Welders ONLINE LEARNING TRAINING: 1. Teaching Online - An Introduction to Online Delivery - 2015 2. Applying the Quality Matter Rubric - 2015 3. Peer Reviewer Course - (to be completed May 2015) 4. Designing Your Online Course - (to be completed May 2015) UNDERGRADUATE STUDENT MENTORING: 1. Research project and presentation on Enumeration of Triangles in Quartic Residue Graphs and Dirichlet Character Difference Graphs- Nicole Calkins - Armstrong Atlantic State University - 2010-2011 1. Enumeration of Triangles in Quartic Residue Graphs - AMS/MAA Joint Mathematics Meetings in New Orleans, LA - 2011 2. Research project and presentation on Enumeration of Triangles in Quartic Residue Graphs and Dirichlet Character Difference Graphs- William Nathan Hack - Armstrong Atlantic State University - 2010-2011 1. How Large is your diameter? A quest for the diameter of a Rational Residue Graph - AMS/MAA Joint Mathematics Meetings in New Orleans, LA - 2011 3. Research project and presentation on Enumeration of Triangles in Quartic Residue Graphs and Dirichlet Character Difference Graphs- Kimberly Thompson - Armstrong Atlantic State University - 2010-2011 1. Enumeration of Triangles in Rational Residue Graphs - AMS/MAA Joint Mathematics Meetings in New Orleans, LA - 2011
4. Research project and presentations on Nim on Wheels - Joseph DiNatale III - Armstrong Atlantic State University - 2011-2013 STUDENT PRESENTATIONS: 1. A Combinatorial Game Played on Wheels - Kennesaw Mountain Undergraduate Mathematics Conference - 2012 2. Nim on Graphs - Armstrong Atlantic State University/Georgia Southern University Discrete Math Seminar at Georgia Southern University - 2012 3. Nim on Wheels - AMS/MAA Joint Mathematics Meetings in San Diego, CA - 2013 5. Research project and presentation on Nim on Wheels - Robert Fenney - Armstrong Atlantic State University - 2011 1. Nim on Wheels - AMS Southeastern Sectional Meeting at Winston-Salem, NC - 2011 6. Research project and presentation on Nim on Wheels - Maxwell Hostetter - Armstrong Atlantic State University - 2011-2012 1. Nim on Wheels - AMS/MAA Joint Mathematics Meetings in Boston, MA - 2012 7. Research project and presentations on Consecutive Pairs of Octic Residues - Nicolas Smoot (Student Research Assistant) - Armstrong Atlantic State University - 2012-2013 STUDENT PRESENTATIONS: 1. Consecutive Pairs of Octic Residues - Palmetto Number Theory Series XVII at Winston-Salem, NC - 2012 2. Consecutive Pairs of 2 t th Residues - Armstrong Atlantic State University/Georgia Southern University Discrete Math Seminar at Georgia Southern University - 2012 3. The Distribution of Consecutive 2 k th Power Residues and Implications - Kennesaw Mountain Undergraduate Mathematics Conference - 2012 4. The Structure of Consecutive Octic Residues - AMS/MAA Joint Mathematics Meetings in San Diego, CA - 2013 8. Research project and presentation on Applications of Dirichlet Character Difference Graphs to Ramsey Numbers - Joshua Ferrerra - Armstrong Atlantic State University - 2012-2013 1. Seeking Lower Bounds to Ramsey Numbers using Dirichlet Difference Graphs - AMS/MAA Joint Mathematics Meetings in San Diego, CA - 2013 SERVICE: ARMSTRONG STATE UNIVERSITY: 1. Guest Speaker at Charles Ellis Montessori Academy for Science Week - 2014 2. Faculty Senate - 2013-2014 3. Reviewer of proposals for Georgia s 2014-2015 Teacher Quality Grants - 2013
4. College of Science and Technology Curriculum Committee - 2012-2014 5. Co-organizer of AASU/Georgia Southern Discrete Math Seminar - 2012-2014 6. Faculty Senate Alternate - 2012-2013 7. Referee for SIAM Journal of Discrete Mathematics - 2012 8. Reviewer of book titled Common Sense Mathematics - 2012 9. Research Seminar Instructor for Applications of Dirichlet Character Difference Graphs to Ramsey Numbers - 2012 10. Department Head Search Committee - 2011-2012 11. High School Math Test Committee - 2011-2012 12. Co-organizer of Math-In - 2011-2013 13. Spring Barbecue Committee - 2011 14. Co-organizer of Southeast Regional Meeting on Numbers Conference - 2011 15. Georgia Tech Savannah Science and Engineering Fair Judge - 2011 16. High School Mathematics Tournament Proctor - 2011 17. Research Seminar Instructor for Dirichlet Character Difference Graphs and Nim on Wheels - 2011 18. Faculty Search Committee - 2010-2011 19. Middle School Mathematics Tournament Proctor - 2010 20. Research Seminar Instructor for Enumeration of Triangles in Quartic Residue Graphs - 2010 21. Pirate Day Preview - 2010 22. High School Mathematics Tournament Proctor - 2010 23. Faculty Search Committee - 2009-2010 24. Middle School Mathematics Tournament Test Committee and Proctor - 2009 25. Hudson Colloquium Committee - 2009-2010 NORTH DAKOTA STATE UNIVERSITY: 1. Math Fair Workshop at Longfellow Elementary School - 2008 2. Graduate Student Representative on Faculty Search Committee - 2008 3. Referee for International Journal of Computer Mathematics - 2007 4. Referee for Journal of Combinatorial Mathematics and Combinatorial Computing - 2007 5. Referee for Discrete Applied Mathematics - 2007 6. Speaker at Department of Mathematics T.A. Training - 2007 7. Administered Mathematics Placement Tests - 2007 8. Instructor for Calculus II (substituting for ill colleague for summer semester) - 2005 9. Math-In Tutor - 2004-2005 GRANTS: 1. Co-PI for ASU 7 Technology Integration into Math Engagement (TIME) Workshop: Professional Development Initiative - Integrating Technology Tools in Differentiated Math Instruction for Elementary Teachers - Georgia s 2015-2016 Teacher Quality Grant - 2015 - $46998 2. Co-PI for WISE Workshop: Writing intended to strengthen educators- A flipped classroom professional development initiative embedding technology tools and authentic writing
instruction for primary and elementary grade mathematics teachers- Georgia s 2014-2015 Teacher Quality Grant - 2014 - $33234 3. PI for Crossing numbers research experience for undergraduates - AASU Faculty Research and Scholarship Grant - 2010 - $2000 HONORS AND AWARDS: 1. Recipient of North Dakota State University Department of Mathematics Teaching Fellowship - 2007-2010 2. Recipient of North Dakota State University College of Science and Mathematics Graduate Student Teaching Award - 2006