Kisin, Mark  
   University of Chicago. p-adic Hodge theory and its applications; the p-adic Riemann-Hilbert Correspondence; p-adic modular forms.
   http://www.math.uchicago.edu/~kisin/

Klüners, Jürgen  
   Universität Kassel. Algebraic number theory, computational class field theory, Galois rheory, computer algebra. KANT software, tables of extensions of the rationals which contains polynomials for all Galois groups up to degree 15.
   http://www.mathematik.uni-kassel.de/~klueners/

Kani, Ernst  
   Queen's University, Kinston, Canada. Arithmetic Geometry. Includes preprints, publication, and presentations (dvi and pdf format).
   http://www.mast.queensu.ca/~kani/

Kiming, Ian  
   University of Copenhagen, Denmark. Recent paper in downloadable formats.
   http://www.math.ku.dk/~kiming/

Kedlaya, Kiran  
   Massachusetts Institute of Technology. Research primarily in algebraic geometry and number theory. Papers and preprints, mathematics links, and contact information.
   http://www-math.mit.edu/~kedlaya/

Katz, Nicholas M.  
   Princeton University. Number theory and algebraic geometry. Publications, photographs.
   http://www.math.princeton.edu/~nmk/

Khadjavi, Lily S.  
   Loyola Marymount University. Algebraic number theory; the ABC conjecture; cryptography, dessins d'enfants, complexity theory. Publications.
   http://myweb.lmu.edu/lkhadjavi/

Knapp, Michael  
   Loyola College. Diagonal forms, Artin's conjecture. Papers, preprint, thesis.
   http://www.evergreen.loyola.edu/~mpknapp/

Kassaei, Payman  
   McGill University. Arithmetic algebraic geometry, modular forms. Publications, talks, teaching material.
   http://www.math.mcgill.ca/~kassaei/

Kou, Ming  
   University of Illinois at Urbana. Analytic number theory and probability.
   http://www.math.uiuc.edu/~mingkou/

Keating, Jon  
   University of Bristol. Links between the semiclassical asymptotics of wave/quantum mechanics and chaos in classical Hamiltonian mechanics, connections with asymptotic problems in number theory.
   http://www.maths.bris.ac.uk/~majpk/