Fall 2010 · Honors Calculus I, Calculus III, Algebra Seminar · Florida State University
Spring 2011 · Theory of Numbers · Florida State University
Fall 2010 · Hyperbolic Geometry (graduate), Calculus III · Florida State University
Spring 2010 · Calculus II · Florida State University
Fall 2009 · Topology I (graduate), Topology Seminar · Florida State University
Spring 2009 · Calculus III · Florida State University
Winter 2008 · Linear Algebra II · Queen's University
Fall 2007 · Differential and Integral Calculus (pure) · Queen's University
Winter 2007 · Precalculus, Differential and Integral Calculus (pure) · Queen's University
Fall 2006 · Algebraic Structures with Applications · Queen's University
Fall 2005 · Precalculus, Differential and Integral Calculus (applied) · Queen's University
Fall 2002 · Emerging Scholars Workshop · University of Texas
Fall 2001 · Precalculus · University of Texas
publications
(with K. Baker) Character Varieties of Once Punctured Torus Bundles of Tunnel Number One, in preparation
(with K. Baker) A-polynomials of Once Punctured Torus Bundles of Tunnel Number One, in preparation
A-Polynomials of a Family of Two-Bridge Knots (submitted)
(with M. R. Murty) A Bombieri-Vinogradov Theorem for All Number
Fields (accepted TAMS)
(with M. R. Murty) Artin's Primitive Root Conjecture and the Euclidean Algorithm (accepted PAMS)
(with L. Fukshansky) On Well-Rounded Ideal Lattices to appear in Int. J. Number Theory, Feb 2012
(with M. Macasieb and R. van Luijk) Character Varieties of a Family of Two-Bridge
Knots Proc. London Math. Soc. (2011) 103(3): 473-507
(with C. D. Sinclair) Equidistribution of Algebraic Numbers of Norm One in Quadratic Number Fields
Int. J. Number Theory Volume: 7, Issue: 7(2011) pp. 1841-1861.
On Character Varieties of Certain Families of 3-Manifolds, Oberwolfach Reports Volume 7, Issue 3, 2010.
(with M. R. Murty) The Generalized Artin Conjecture and Arithmetic Orbifolds Groups and symmetries, 259--265, CRM
Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009.
Counting Cusps of Subgroups of PSL(2,OK) Proc. Amer. Math. Soc. 136
(2008), no. 7, 2387-2393
(with C. D. Sinclair) Conjugate Reciprocal Polynomials with all Roots on the Unit Circle Canad. J. Math. (2008) 60, no. 5, 1149-1167.
One-Cusped Congruence Groups of Bianchi Groups Mathematische Annalen (2007) 338, no 2, 249 - 282.
One-Cusped Congruence Subgroups of PSL(2,OK) PhD thesis,
University
of Texas, 2005
(with N.C. Craig and D. C. McKean) Vibrational and Quantum Chemical Studies of 1,2-Difluoroethylenes: Spectra of 1,2-13
C2H2F2 Species, Scaled Force Fields, and Dipole Derivatives, The Journal of Physical Chemistry A, (2002) Vol. 106, No. 26, pp. 6358-6369.
lectures
2011 · The Geometry of Character Varieties · Tech Topology
Conference · Georgia Tech
2011 · Artin's Primitive Root Conjecture and the Euclidean Algorithm · PAlmetto
Number Theory Series XVI · Emory University
2011 · Artin's Primitive Root Conjecture and the Euclidean Algorithm
· Journeés Arithmétiques
2011 · Character Varieties and Hyperbolic 3-Manifolds · Colloquium
· University of Oregon
2011 · Character Varieties of a Family of Once-Punctured Torus Bundles
· AMS Special Session on Geometry and Applications of 3-Manifolds
· Worcester MA
2011 · A-Polynomials of a Family
of Two-Bridge Knots · AMS Special Session on Number Theory, Arithmetic
Topology, and Arithmetic Dynamics · Worcester MA
2011 · The Euclidean Algorithm and Primitive Roots · Algebra and
Number Theory Seminar · University of Mississippi
2011 · Character Varieties of Some Families of 3-Manifolds · Low
Dimensional Topology and Number Theory III · Fukuoka Japan
2011 · Character Varieties of Once-Punctured Torus Bundles of Tunnel Number One · Geometry and Topology
Seminar · University of Maryland
2010 · Artin's Primitive Root Conjecture and the Euclidean Algorithm ·Colloquium
· University of Miami
2010 · On Character Varieties of Certain Families of 3-Manifolds · Mathematisches Forschungsinstitut Oberwolfach
2010 · What is Topology? · WIMSE, FSU Women in Math, Science and
Engineering
2009 · The Euclidean Algorithm and Primitive Roots · Algebra/Number Theory/Combinatorics Seminar · The Claremont Center
for the Mathematical Sciences
2009 · The Generalized Riemann Hypothesis on the Average · Journeés Arithmétiques
2009 · Character Varieties of Two-Bridge Knots · Spring Topology and Dynamics Conference
2008 · Cusps, Congruence Subgroups, and Artin's Primitive Root Conjecture · Fields Institute
2008 · A Bombieri-Vinogradov Theorem for Number Fields · Canadian Number Theory Association X Meeting
2008 · Character Varieties of a Family of Two-Bridge Knots · Knots, Surfaces, the Curve Complex, Foliations, and all that... IAS Women and Math Program
2008 · Character Varieties of Twist Knots, Topology Seminar · UBC
2008 · Artin's Conjecture and Euclidean Domains · Number Theory Seminar · UBC/SFU
2008 · Cusps and Congruence Subgroups, Colloquium · Queens College, CUNY
2008 · Cusps and Congruence Subgroups, Colloquium · Florida State
2008 · Character Varieties of Twist Knots · Topology Seminar · Florida State
2008 · Character Varieties of Twist Knots · Colloquium · Kansas State
2007 · Character Varieties of Twist Knots · Topology/Geometry Seminar · University at Buffalo
2007 · Cusps and Congruence Subgroups · Low-Dimensional Topology and Number Theory · Banff Research Station
2007 · The Topology of Certain Congruence Subgroups of PSL(2, OK) · Ganita Seminar · University of Toronto
2007 · The Euclidean Algorithm and Applications to Hyperbolic Geometry · AMS/MAA Joint Meetings New Orleans · Function Fields Special Session
2006 · One-Cusped Congruence Subgroups of the Bianchi Groups · Topology Seminar · UQÀM
2006 · Cusps and Congruence Subgroups of PSL(2,OK) · Number Theory Seminar · UBC/SFU
2006 · Cusps and Congruence Subgroups of Bianchi Groups · Topology/Geometry Seminar · University at Buffalo
students
J. Kyle Armstrong · Principal Elements of Mixed Sign Coxeter
Systems (co-advisor with Eriko Hironaka)