short curriculum vitae

(complete PDF version here)

Kathleen Petersen

personal data

address Department of Mathematics · 211 Love Building · Florida State University · Tallahassee, Florida 32306
email mylastname@math.fsu.edu
web
http://www.math.fsu.edu/~petersen

education

Ph.D. University of Texas at Austin · 2005
        Advisor ·
Alan Reid
A.B.
Oberlin College · Oberlin Ohio · Major: Mathematics

professional experience

Assistant Professor · Florida State University · 2008-
Fields Post-doctoral Fellow ·
Fields Institute, Toronto Ontario · 2008
Coleman Post-doctoral Fellow ·
Queen's University · Kingston Ontario · 2005-2008

visiting positions

visitor · Max Planck Institut fur Mathematik (MPIM) · Bonn, Germany · May-July 2012
visitor · University of Texas at Austin · February-March 2012

research interests

geometric topology · number theory

awards

2011-2016 · Simons Foundation Collaboration Grant
2008 · First Year Assistant Professor Award · Florida State University
2006 · Scholarly and Professional Development Fund Grant · Queen's University
2004 · Rupert Fellowship · University of Texas
2001 · Frank Gerth III Teaching Excellence Award · University of Texas
2000 · Departmental Fellowship · University of Texas

courses taught

Fall 2012 · Calculus II, Topology I (graduate) · Florida State
Fall 2011 · 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

in progress

  • (with K. Baker) A-polynomials of Once Punctured Torus Bundles of Tunnel Number One, in preparation
  • (with A. Reid) Character Varieties of Families of Dehn Fillings, in preparation
  • publications

  • (with K. Baker) Character Varieties of Once Punctured Torus Bundles of Tunnel Number One (submitted)
  • 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 (to appear 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
  • other publications

  • Non-Profit Alternatives to Commercial Academic Journals: Success Stories from Mathematics, Political Geography Volume 31, Issue 5, June 2012, Pages 263-265 (solicited unrefereed editorial response)
  • (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

    2013 · TBA · Low Dimensional Topology and Number Theory V · Fukuoka Japan · (scheduled)
    2013 · Well-Rounded Ideal Lattices · AMS Special Session on Arithmetic Theory of Quadratic Forms and Lattices · San Diego CA (scheduled)
    2012 · Character Varieties and Dehn Filling · Topology Seminar · Brigham Young University
    2012 · Character Varieties and Hyperbolic 3-manifolds · Colloquium · McMaster University
    2012 · The Euclidean Algorithm and Primitive Roots · Joint Geometry and Topology Seminar and Algebra and Number Theory Seminar · McMaster University
    2012 · Character Varieties of Families of One-Cusped Hyperbolic 3-Manifolds · AMS Special Session on Combinatorial Methods in Knot Theory · New Orleans LA (scheduled)
    2012 · Artin's primitive root conjecture and the Euclidean algorithm · Number Theory Seminar · Max Planck Institute
    2012 · Character Varieties and 3-manifolds · Oberseminar · Max Planck Institute
    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)