David Carroll
Department of Mathematics
Mailstop 3368
Texas A & M University
College Station, Texas 77843-3368
U.S.A.
email: carroll@math.tamu.edu
url: http://www.math.tamu.edu/∼carroll
Education
• Ph.D Mathematics, Texas A & M University, August 2016.
• B.S. Mathematics, University of Rochester, May 2011.
Minor in Computer Science.
Academic Employment
• Graduate Teaching Assistant, Texas A & M Mathematics, September 2011 - present
• Undergraduate Teaching Assistant, University of Rochester Mathematics, September 2008 May 2011
• Learning Assistance Services Tutor, University of Rochester, September 2009 - December
2009
Awards and Honors
• Outstanding Teaching Assistant Award, Texas A & M Mathematics, May 2014
• Awarded Highest Distinction in Mathematics, University of Rochester, May 2011
Research Interests
My research interests are in combinatorial and geometric group theory. Currently I am working
on symbolic dynamics on groups, growth of groups, and the connections between them.
Publications and Preprints
• Deciding if a right-angled Artin group is free-by-free is NP-complete (with Benjamin Francisco
and Zoran Šunić), in preparation.
• Periodic points on shifts of finite type and commensurability invariants of groups (with Andrew
Penland), New York Journal of Mathematics 21 (2015).
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Talks Given
Conferences
• Some computational complexity results for right-angled Artin groups, Joint Mathematics Meetings, Seattle, WA, January 2016
Seminars
• Some graph-theoretic properties of right-angled Artin groups, Graduate Student Organization
Seminar, Texas A & M University, September 2015
• Exponential growth rates of groups, Summer 2015 Workshop: Asymptotic properties of groups
and dynamical systems, Texas A & M University, August 2015
• Symbolic dynamics on groups and the existence of periodic configurations, Graduate Student
Organization Seminar, Texas A & M University, February 2015
Conferences and Workshops Attended
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Southwest Local Algebra Meeting (upcoming), San Marcos, TX, February 2016
Joint Mathematics Meetings, Seattle, WA, January 2016
First Chicago Summer School in Geometry and Topology, Chicago, IL, June 2015
Workshop on Mapping Class Groups and Out(FN ), Austin, TX, May 2015
Spring 2015 Redbud Topology Conference, Stillwater, OK, April 2015
Joint Mathematics Meetings, San Antonio, TX, January 2015
Rice Dynamics Workshop, Houston, TX, April 2014
Redbud Topology Conference, Norman, OK, April 2014
2013 Theme Semester on Game Theory and PDEs, Pittsburgh, PA, January 2013
Great Plains Operator Theory Symposium, Houston, TX, May 2012
Departmental Service and Activities
• Organizer for Student Working Groups & Dynamics Seminar, January 2015 - present.
• Host for Texas A & M Mathematics Graduate Student Visitor’s Weekend,
– February 2013
– February 2014
– February 2015
• Panelist for Texas A & M Mathematics at the JMM AMS-MAA Grad School Fair, January
2015.
• Assistant proctor/grader for Math Contest at the Texas A& M Math Mini Fair, April 2013
Extra-Departmental Service and Other Activities
• Judge for Texas Junior Science and Humanities Symposium, January 2016
• Primary Advisor to the Texas A & M Chess Club, May 2014 - January 2016.
Programming Languages
• Proficient in: Java, MATLAB
• Working knowledge of: HTML/CSS, Mathematica, Python
• Basic knowledge of: C, GAP, R
Last updated: February 16, 2016 • Typeset in XƎTEX
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