Curriculum Vitae

Education

May 2010

Ph.D. in Mathematics, Georgia Institute of Technology, Atlanta, Georgia. May 2010.

Dissertation: Some Results on Linear Discrepancy for Partially Ordered Sets
Advisor: William T. Trotter
Minor in algorithms

May 2004

B.S. in Mathematics (with Honor), North Dakota State University, Fargo, North Dakota. May 2004.

Honors Thesis: Knot Theory: History and Applications with a Connection to Graph Theory
Minor in computer science

Academic and Research Positions

2018–

Assistant Professor of Mathematics, Morningside College, Sioux City, Iowa.

2013–2018

Assistant Professor, Department of Mathematics, Washington and Lee University, Lexington, Virginia.

2012–2013

Research Assistant Professor, Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska.

2010–2012

Visiting Fellow, Department of Mathematics, London School of Economics and Political Science, London, United Kingdom.
Supported by Marshall Sherfield Fellowship.

2004–2010

VIGRE Graduate Teaching and Research Assistant, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia.
Instructor of record for precalculus, Calculus I, and applied combinatorics. (More information in teaching.)

Summer 2004

Research Intern II, Institute for Defense Analyses-Center for Computing Sciences, Bowie, Maryland.
Developed and tested algorithms for data mining of large graphs using Perl, C, and Hancock (a C-based, domain-specific language for analyzing data streams). Top Secret Security Clearance, Department of Defense.

2001–2004

Undergraduate Teaching Assistant, Paper Grader, and Computer Systems Administrator, Department of Mathematics, North Dakota State University, Fargo, North Dakota.

Summer 2003

Director's Summer Program, National Security Agency, Fort George G. Meade, Maryland.
Worked in a team environment to develop and test mathematical algorithms for data mining. Trained and tested neural networks using LNKnet. Implemented and tested algorithms using C and Perl. Top Secret Security Clearance, Department of Defense.

Summer 2002

Mathematics Research Experience for Undergraduates, Louisiana State University, Baton Rouge, Louisiana.
Conducted research connecting graph theory and knot theory with N.W. Stoltzfus.

Publications

Hereditary semiorders and enumeration of semiorders by dimension. Submitted, 2017 (with S.J. Young).
Combinatorial reductions for the Stanley depth of $I$ and $S/I$. Electron. J. Combin., 24(3):Paper 48, 19 pages, 2017 (with S.J. Young).
Posets with cover graph of pathwidth two have bounded dimension. Order, 33(2):195–212, 2016 (with Cs. Biro and S.J. Young).
The reversal ratio of a poset. Order, 32(1):43–52, January 2015 (with G. Brightwell).
On the Stanley depth of squarefree Veronese ideals. J. Algebraic Combin., 33 (2011), no. 2, 313–324 (with Y.-H. Shen, N. Streib, and S.J. Young). The original publication is available at www.springerlink.com as an Open Access publication.
Online linear discrepancy of partially ordered sets. In Imre Bárány and Jozsef Solymosi, editors, An Irregular Mind, volume 21 of Bolyai Soc. Math. Stud. Springer, 2010 (with N. Streib, and W.T. Trotter).
Degree bounds for linear discrepancy of interval orders and disconnected posets. Discrete Math. 310 (2010), nos. 15–16, 2198–2203 (with S.J. Young). The original publication is available at ScienceDirect.
Interval partitions and Stanley depth. J. Combin. Theory Ser. A, 117 (2010), no. 4, 475–482 (with Cs. Biro, D.M. Howard, W.T. Trotter, and S.J. Young). The original publication is available at ScienceDirect.
Stanley depth of squarefree monomial ideals. J. Algebra 322 (2009), no. 10, 3789–3792 (with S.J. Young). The original publication is available at ScienceDirect.
A characterization of partially ordered sets with linear discrepancy equal to 2, Order 24 (2007), no. 3, 139–153 (with D.M. Howard and S.J. Young). The original publication is available at www.springerlink.com.

Books

Applied Combinatorics with W.T. Trotter. Published through Amazon CreateSpace in August 2016 and available online for free under a CreativeCommons license. Endorsed by the American Institute of Mathematics Open Textbooks Initiative.
Combinatorics through Guided Discovery by Kenneth P. Bogart. (Editor of PreTeXt edition with O. Levin and K.E. Morrison.) Published through Amazon CreateSpace in December 2017 and available online for free under a CreativeCommons license. Endorsed by the American Institute of Mathematics Open Textbooks Initiative.

Mathematics Presentations

Conferences

Combinatorial approaches to Stanley depth: Where do we stand?. SIAM Conference on Discrete Mathematics, Atlanta, Georgia. (June 2016)
Posets with cover graph of pathwidth two have bounded dimension. 2014 International Congress of Mathematicians, Seoul, Republic of Korea. (August 2014)
Posets with cover graph of pathwidth two have bounded dimension. (Invited talk in special session on partially ordered sets.) Fall Southeastern Sectional Meeting of the AMS, Louisville, Kentucky. (October 2013)
Reversal Ratio and Linear Extension Diameter. Invited talk at Shrevefest in Fargo, North Dakota. (May 2013)
Reversal Ratio and Linear Extension Diameter. (Invited talk in special session on extremal combinatorics.) Spring Central Sectional Meeting of the AMS, Ames, Iowa. (April 2013)
Reversal ratio and linear extension diameter. 53rd Midwestern Graph Theory Conference (MIGHTY LIII), Ames, Iowa. (September 2012)
Reversal ratio and linear extension diameter. (Invited talk in posets minisymposium.) SIAM Conference on Discrete Mathematics, Halifax, Nova Scotia. (June 2012)
Reversal ratio and linear extension diameter. 35th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Melbourne, Australia. (December 2011)
Reversal ratio and linear extension diameter. 23rd British Combinatorial Conference, Exeter, United Kingdom. (July 2011)
Reversal ratio and linear extension diameter. Canadian Conference on Discrete and Algorithmic Mathematics (CanaDAM) 2011, Victoria, British Columbia. (June 2011)
Online linear discrepancy. SIAM Conference on Discrete Mathematics, Austin, Texas. (June 2010)
A characterization of partially ordered sets with linear discrepancy equal to 2. (Poster presentation.) New Directions in Algorithms, Combinatorics, and Optimization, Atlanta, Georgia. (May 2008)
A characterization of partially ordered sets with linear discrepancy equal to 2. 2008 Georgia Tech Graduate Student Symposium. (March 2008)
Six degrees of separation, Or, why Bacon is a good, but not the best, choice. North Dakota State University Mathematics Consortium. (April 2005)
Signed graph Laplacians. AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates, Joint AMS/MAA Meeting, Baltimore, Maryland. (January 2003)

Others

Online Algorithms: Dealing with an Evolving Situation. Wellesley College mathematics colloquium. (October 2017)
Interval orders, semiorders, and ascent sequences. Pacific Northwest National Laboratory Mathematics Seminar. (October 2017)
Stanley depth and interval partitions. Pacific Northwest National Laboratory Mathematics Seminar. (August 2017)
How fair is that ranking?: Linear discrepancy of partially ordered sets. Talk to summer research students at the Wake Forest-Davidson REU. (July 2017)
How fair is that ranking?: A mathematician looks at the AP college basketball poll. James Madison University Mathematics Colloquium. (February 2017)
Open access discussion panel (with K. Friend, C. Galaver, and T. Lubin). Washington & Lee University Library. (October 2017)
How fair is that ranking?: A mathematician looks at the AP college football poll. Hampden- Sydney College Mathematics and Computer Science Colloquium. (October 2016)
Counting in fancy ways. Lenfest Colloquium, Washington & Lee University. (October 2016)
Online algorithms: When you don’t know everything at the start. Pacific Northwest National Laboratory Mathematics Seminar. (July 2016)
Monochromatic solutions of linear equations. Pi Mu Epsilon initiation, Washington & Lee University. (March 2016)
Herzog’s partition problem, Virginia Commonwealth University Discrete Mathematics Seminar. (September 2014)
Online linear discrepancy, University of Louisville Combinatorics Seminar. (March 2013)
Interval partitions and Stanley depth, North Dakota State University Department of Mathematics Colloquium (January 2013)
Online linear discrepancy, University of Nebraska-Lincoln Discrete Mathematics Seminar. (September 2012)
Asymptotic Enumeration of Labelled Interval Orders, University of California, San Diego Combinatorics Seminar. (May 2012)
Interval partitions and Stanley depth, Mississippi State University Mathematics Colloquium. (February 2012)
Online linear discrepancy, Technion Combinatorics Seminar. (May 2011)
Online linear discrepancy, London School of Economics Lunchtime Seminar. (February 2011)
Interval partitions and Stanley depth, London School of Economics Discrete Mathematics and Game Theory Seminar. (October 2010)
Interval partitions and Stanley depth, University of Louisville Mathematics Colloquium. (December 2009)
Online algorithms for graphs and partially ordered sets, Georgia Tech SIAM Student Seminar. (November 2009)
The Probabilistic Method, Or, Using Probability to Show that Something Definitely Exists, North Dakota State University Mathematics Club. (December 2008)
Linear discrepancy in partially ordered sets. North Dakota State University Mathematics Colloquium. (July 2007)
Six degrees of separation, Or, why Kevin Bacon is a good, but not the best, choice. North Dakota State University Mathematics Club. (May 2004)
Some combinatorial proofs of some noncombinatorial results. North Dakota State University Mathematics Colloquium. (April 2004)
One, two, skip a few, ninety-nine, one hundred, Or, How I learned there are smarter ways to count. North Dakota State University Mathematics Club. (September 2003)
Algebra and graphs and knots—oh my! North Dakota State University Mathematics Club. (September 2002)

Teaching, Learning, and Academic Integrity Presentations

Invited Faculty Development Workshops

Authoring Integrated Online Textbooks with MathBook XML (with K.-D. Crisman, Gordon College). MAA Minicourse, Joint Mathematics Meetings, San Diego, California. (January 2018)
How to use as much inquiry as you’re comfortable with in your calculus class (with A. Ksir, US Naval Academy, and C. Williams, James Madison University). Spring meeting of the Maryland-DC-Virginia Section of the Mathematical Association of America. Frostburg State University, Frostburg, Maryland. (April 2017)
Box at WLU panelist for Fall Academy 2015. Washington & Lee University. (August 2015)
Active Learning in a Clunky Classroom panelist for Winter Academy 2014. Washington & Lee University. (December 2014)
Teaching in the Versatile Learning Classroom panelist for Fall Academy 2014. Washington & Lee University. (August 2014)
Workshops on effective teaching, assessment of learning objectives, helping students think critically, and effective classroom management/dealing with disruptive students. Deanship of Skills Development, King Saud University, Riyadh, Kingdom of Saudi Arabia. (May 2011)
Problem Solving in the Classroom (with D.C. Llewellyn, Georgia Tech). Georgia Tech Center for the Enhancement of Teaching and Learning Fall Kickoff Workshop. (August 2010)
Workshops on active learning and rubrics for faculty from King Saud University. Organized by Georgia Tech Center for the Enhancement of Teaching and Learning. (July 2010)
Getting your students to read the text (before class), Georgia Tech Retreat Exploring Effective Teaching. (January 2010)

Conferences

Open educational resources and inquiry-based learning: Bogart’s Combinatorics through Guided Discovery gets new life. MAA Session on Inquiry-Based Teaching and Learning, Joint Mathematics Meetings, San Diego, California. (January 2018)
The Journey of one Open Source Applied Combinatorics Text. MAA Session on the Advance- ment of Open Educational Resources, Joint Mathematics Meetings, Atlanta, Georgia. (January 2017)
My IBL Approach to Theoretical Ideas in First-Semester Calculus. Special session on inquiry-based learning. Fall meeting of the Maryland-DC-Virginia Section of the Mathematical Association of America, Johns Hopkins University, Baltimore, Maryland. (November 2016)
Inquiry-Based Learning in the Maryland-DC-Virginia Section panel (with A. Ksir, P. McLoughlin, and C. Williams). Spring meeting of the Maryland-DC-Virginia Section of the Mathematical Association of America, Montgomery College, Germantown, Maryland. (April 2016)
Perspectives on IBL [Inquiry-Based Learning] Teaching: Novice, Experienced, and Master panel (with C. Schumacher and A. Hodge) at Joint Mathematics Meetings, Seattle, Washington. (January 2016)
IBL Intro to Proof in Four Weeks: A Survivor’s Tale. Fall Meeting of the Maryland-DC-Virginia Section of the Mathematical Association of America, St. Mary’s College of Maryland. (November 2015)
Project NExT panel on Assessment in Nontraditional Classroom (moderator and organizer, with M. Lindsey, Y. Ma, and K. McCullough) at Joint Mathematics Meetings, Baltimore, Maryland. (January 2014)
Integrated Course Design: Extending Lessons from an Introductory Mathematics Course (with L. Soleil, Georgia Tech). Lilly Conference on College and University Teaching, Greensboro, North Carolina. (February 2010)
Proactive Academic Integrity Measures—The Second Generation (with K.D. Boyd, University of Georgia, and E.S. McGarity, Georgia Tech). The 2005 Center for Academic Integrity International Conference, Blacksburg, Virginia. (October 2005)
Academic Integrity and Cultural Differences (with M. Barry, Rochester Institute of Technology, and L. Pendleton, Virginia Tech). The 2005 Center for Academic Integrity International Conference, Blacksburg, Virginia. (October 2005)

Honors and Awards

2013–2014

Project NExT (New EXperiences in Teaching) Fellow, Mathematical Association of America (brown13 dot, fellowship sponsored by American Mathematical Society).

2013

Certificate of Recognition for Contributions to Students, University of Nebraska-Lincoln Parents Association and Teaching Council

2010

Marshall Sherfield Fellowship

2010

Mitch Keller Lifetime Achievement Award, Graduate Student Government Association, Georgia Institute of Technology (Inaugural recipient and award namesake)

2009

Bob Price Research Award, School of Mathematics, Georgia Institute of Technology

2009

K. Patricia Cross Future Leaders Award, Association of American Colleges and Universities

2008

Outstanding Teaching Assistant Award, Georgia Institute of Technology