Christina C. Carroll Office: 114 Miller Hall Office Phone: (276) 944-6200 Email: [email protected]

Education

Emory and Henry College P.O. Box 947 Emory, VA 24327

 Georgia Institute of Technology; Atlanta, GA Ph.D. in Mathematics: May 2008. Graduate Minor: Theoretical Computer Science Thesis Title: Enumerative Combinatorics of Posets  University of Nebraska; Lincoln, NE M.S. in Mathematics: May 2002.  Kenyon College; Gambier, OH B.A. magna cum laude with high honors in Mathematics: May 1998.

Employment

 Emory and Henry College; 2012-current · Assistant Professor of Mathematics  St. Norbert College; 2009-2012 · Assistant Professor of Mathematics  Georgia Institute of Technology; 2002-2008 · Lead Instructor, NSF VIGRE Research Assistant, Recitation Instructor  University of Nebraska-Lincoln; 2000-2002 · Interim Lecturer for Graduate/Undergrad Graph Theory · Lead Teaching Assistant (supervisory role) · Lead Instructor, Recitation Leader  R.R. Bowker, New Providence NJ; 1999-2000 · Data Analyst, Electronic Data Interchange Department  Kenyon College, Gambier Ohio · Calculus TA and Lab Assistant, 4 semesters

Papers

 Teena Carroll, G.O.H Katona; Bounds on Maximal Families of Sets Not Containing Three Sets with A ∩ B ⊂ C, A ( B. Order vol. 25(3): 229-236 (2008)  Teena Carroll, David Galvin, Prasad Tetali; Matchings and Independent Sets of a Fixed Size in Regular Graphs. Journal of Combinatorial Theory, Series A, vol. 116(7): pp. 1219-1227 (2009).

Honors

 Project NeXT Fellow, Mathematical Association of America, 2009 Professional Development Program  Wisconsion Section NExT Fellow Wisconsin Section of the MAA, 2009 Regional Professional Development Program  CETL/BP Outstanding Teaching Assistant Award, Georgia Inst. of Tech. 2007 Each department nominates one candidate for campus wide competition.  NSF VIGRE Graduate Trainee, Georgia Inst. of Tech., 2002 A five year fellowship including travel funds and research support.

Christina C. Carroll

 The Outstanding First Year Graduate Student Award, University of NebraskaLincoln, 2001  Othmer Fellow, University of Nebraska, 2000 3 year fellowship, the highest award available in a university-wide competition  Finkbeiner Mathematics Scholarship, Kenyon College, 1998  Reginald B. Allen Awards for Excellence in Mathematics, Kenyon College, 1997-98  Honor Societies: Phi Beta Kappa, Sigma Xi, and Pi Mu Epsilon Undergraduate  St. Norbert Undergraduate Summer Research Program, 2010 Research I mentored an independent study followed by a 10 week research experience on the topic Mentored of Balanced Sequences and Egyptian fractions. This work has resulted in one poster presentation and two talks, including one presented at MathFest 2010.  St. Norbert Undergraduate Freshman Research Fellows Program, 2010 Working with a freshman research fellow, we are designing a Natural Science outreach museum display on the topic of using mathematical origami to model chemical structures. Courses Taught  With full course responsibility: PreCalculus, Trigonometry, Differential Calculus, Survey of Calculus, Linear and Discrete Mathematics, Contemporary Mathematics, Finite Mathematics, Abstract Algebra, Advanced Foundations of Mathematics, Probability and Statistics  As a graduate student recitation instructor: Undergraduate/Graduate Graph Theory, Differential Calculus, Linear and Discrete Math Service

 Project NExT co-organizer of Programming Chosen as one of two organizers for the 2009 Project NExT meeting held in San Francisco, January 2010. My responsibilities included overseeing the development and organization of 6 sessions.  Peace and Justice Center Advisory Committee, St. Norbert College This is an appointed role to help guide the Peace and Justice Center on campus to further is mission both on campus and in a global context.  Peace and Justice Academic Minor Advisory Committee, St. Norbert College This is an elected role to help administer and make decisions concerning the academic program offered by the Peace and Justice department.  Pi Mu Epsilon Undergraduate Research Conference, Co-Chair of Programming, St. Norbert College My duties include inviting keynote speakers for this annual regional conference which has draw of over 200 students and faculty.  Textbook Selection Committee, Georgia Tech Math Department, Fall 2007. I served on a committee to select a new textbook for the Linear and Discrete Mathematics course. We decided to work with Pearson Publishing to design a custom book for the course.  Graduate Student Representative, Georgia Tech Math Department, 2005-06. This is an elected position to the graduate committee which makes decisions and policy regarding all aspects of graduate student careers in the department.  Graduate Women’s Council, Georgia Tech Women’s Resource Center This group works with the Director of the Women’s Resource Center to enhance and improve the experience of female graduate students on campus, as well as retention and recruitment.

Christina C. Carroll

 Organizing Committee Member Nebraska Undergraduate Women’s Conference, 2002 This unique annual conference attracts several hundred undergraduate women to network, present, and learn mathematics.  Leader for Graduate Student Teaching Orientation I was chosen to attend a workshop held by Solomon Friedberg, author of Case studies for Today’s Classroom on training Teaching Assistants in mathematics. I have run case study discussion sessions as part of the graduate teaching assistant orientation at Georgia Tech.  Focus Group Participant Fall 2005 I was part of a focus group held by Georgia Tech’s Center of Teaching and Learning (CETL) to evaluate departmental teacher training programs and to asses how CETL could best serve graduate teaching assistants.  Panelist · “Balancing Graduate Life;” GA Tech Math department International graduate student orientation, 2003-06 · “Introducing Minority students to the Graduate School Experience;” GA Tech FOCUS program 2007 · “What to Expect in your first semester as a Teaching Assistant;” GA Tech Math department TA training Seminar 2003-06. Undergraduate Programs

 1997; Kenyon College Summer Science Scholars Kenyon College, Gambier, OH. Researched the dynamics of Newton’s method and higher-order iterative root finding methods. Presented results in a poster session.  1996; Summer Mathematics Program for Women Carleton and St. Olaf Colleges, Northfield, MN One of twenty undergraduate women chosen from a national applicant pool, I spent a month at Carleton studying coding theory and functional analysis.

Conferences  2010, 2011 Educational Advancement Foundation Attended with Funding given to attend the 13th and 14th Legacy of R.L. Moore Conferences, 3 day Travel Grants conferences focused on Inquiry Based Learning  2006, EMS Summer School; Horizons of Combinatorics, Renyi Institute, Budapest Hungary A week of graduate student summer school featuring lectures by internationally renowned Combinatorialists, followed by a week long conference.  2006, Microsoft Theory Group, Redmond, WA A week-long invited visit for collaboration with researchers in residence.  2005, DIMACS/RENYI Working Group on Extremal Combinatorics, Charles University, Prague, Czech Republic A weekend focused on problems in Extremal Combinatorics.  2003, IMA Combinatorics and its Applications Workshop Georgia Institute of Technology, Atlanta, GA A three-week long Graduate Summer School Program focusing on posets, extremal graph theory, discrete algorithms, and probabilistic methods.  2001; Rocky Mountain Math Consortium University of Wyoming, Laramie, WY Two weeks of intensive classes and conference focused on Matrix Analysis.  2000; Rocky Mountain Math Consortium University of Wyoming, Laramie, WY Two weeks of intensive classes and conference focused on Probabalistic Combinatorics.

Christina C. Carroll

Conferences Attended

 Joint Mathematics Meetings; MAA/AMS/SIAM/AWM conference Orlando FL, 1996 San Antonio TX, 2006 San Francisco CA, 2010

Washington DC, 2000 New Orleans LA 2007 New Orleans LA, 2011

Atlanta GA, 2005 San Diego CA, 2008

 MathFest; The Summer Meeting of the MAA Portland, OR August 2009 Pittsburgh, PA August 2010  MAA Wisconsin Sectional Meetings Oshkosh, April 2010; Stout, April 2011  SMPosium A conference designed to enrich recent female PhD recipients and provide mentoring to current participants in the Carleton Summer Math Program (SMP) for Women in Mathematics, Northfield MN; 2008, 2009, 2010, 2011 Professional Activity

 Mentor of Graduate Student Talks At MathFEST 2010, I judged and individually mentored a session of graduate students talks  Poster Session Judge At the Joint Mathematical Meetings in 2010 and 2011, I judged posters for an undergraduate poster session

Mini-Courses Attended

 Low-Tech Visualizations for Undergraduate Mathematics Courses Project NExT mini-course offered at MathFEST, August 2010  Using Videotapes in Introduction to Proofs Courses MAA mini-course offered at the Joint Meetings, January 2010  Math Courses for Future Elementary and Middle School Teachers Project NExT mini-course offered at MathFEST, August 2009  AMS Short Course in Probabilistic Combinatorics Short Course offered at the Joint Meetings, January 2005  Markov Chains in Algorithms and Statistical Physics One week program at MSRI Berkeley, CA, January 2005  Combinatorics, Probability and Algorithms Workshop A three week concentration period with mini-courses in six topics including Markov chains and threshold phenomenons at the Centre de Recherches Mathematiques, Montreal Canada, May 2003

Talks Given

 Trying Something Very New A contributed talk selected for presentation at a special meeting of the MAA and EAF in the legacy of RL Moore, Washington DC, June 2011  A Visual Tour of Results Enumerating Independent Sets A contributed talk given at MAA Sectional Meeting, April 2011  A Visual Tour of Enumerative Combinatorics of Posets An invited talk given at Khalifa University, Abu Dhabi, February 2011  Gateway Exams in First Semester Calculus Courses A talk in a contributed paper selected for inclusion in a session on Calculus at MathFEST, August 2010

 An Exploration of Egyptian Fractions and Balanced Sequences A talk given to a mixed audience of undergraduate women and math PhDs, as part of SMPosium Northfield MN, July 2010  Is the Integer Partition Poset Sperner? A sequence of two invited talks, totaling two and a half hours. Given as part of the Clemson REU in Computational Number Theory and Combinatorics, May 2010.  The Chain Product Poset, An Enumerative Approach A 25 minute invited talk given in a special session on graph theory at the AMS Southeastern Regional conference, Boca Raton FL. Oct. 31, 2009  Counting things that are ‘Hard to Count’ A talk given to a mixed audience of undergraduate women and math PhDs, as part of SMPosium Northfield MN, July 2010  Bounding the size of Induced V-free Boolean families Contributed talk given at Cumberland conference on Combinatorics, Graph Theory and Computing, Bowling Green, KY, May 2009  Enumerating Fruit Salads Given at Washington and Jefferson College, Washington Pennsylvania, Spring 2008  Graph Entropy and the Laminar Decomposition of Kahn and Kim A two talk sequence given as part of Georgia Tech’s Graph Theory seminar  Maximum independent sets of axis aligned rectangles Georgia Tech, A survey talk on known results, Fall 2005  A combinatorial proof for a continuous probabalistic property Presented at the Ohio MAA sectional meeting, 1997 Grants

 Student/Faculty Collaboration Grant A grant given by the St. Norbert Collaborative for Undergraduate Research for continued work with a student entitled “Ancient Egypt meets Ancient Greece”  St. Norbert College Faculty Development Grant Awarded to attend and speak at the AMS Southeastern Sectional Meeting, Florida Atlantic University, Boca Raton, FL., 2010  St. Norbert College Faculty Development Grant Awarded to attend and speak at the 22nd annual Cumberland conference on Combinatorics, Graph Theory and Computing, Bowling Green, KY., 2009  NSF Grant #DMS-0701043 Under the direction of my advisor, I wrote the student research section of the grant; funded by NSF, 2006.

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