Kassaei, Payman
- King's College London. Arithmetic algebraic geometry, modular forms. Publications, talks, teaching material.
- http://www.mth.kcl.ac.uk/~kassaei/

Karatsuba, Anatolii Alexeevich
- Steklov Institute of Mathematics and M. V. Lomonosov Moscow State University. Analytic number theory; mathematical cybernetics.
- http://www.mi.ras.ru/~karatsuba/index_e.html

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/

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

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

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

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

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/

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

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

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/

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/