# Keith Merrill

Degrees

Brandeis University, Ph.D.University of California, Davis, M.A.

University of California, Los Angeles, B.S.

Expertise

Dynamical Systems, Ergodic Theory, Lie groupsProfile

My research lies at the intersection of number theory, dynamics, and geometry; specifically the field of Diophantine approximation.Courses Taught

MATH | 10a | Techniques of Calculus (a) |

MATH | 10b | Techniques of Calculus (b) |

MATH | 15a | Applied Linear Algebra |

MATH | 20a | Techniques of Calculus: Calculus of Several Variables |

MATH | 23b | Introduction to Proofs |

MATH | 36a | Probability |

MATH | 36b | Mathematical Statistics |

MATH | 211a | Topics in Differential Geometry and Analysis I |

MATH | 224b | Lie Groups |

Awards and Honors

Louis Dembitz Brandeis Prize for Excellence in Teaching (2019)

Scholarship

Merrill, Keith. "Differentially Private k-Nearest-Neighbor Imputation." (2019). (forthcoming)

Merrill, Keith. "Intrinsic Diophantine Approximation on Quadric Hypersurfaces." (2019). (forthcoming)

Fishman, Lior/Merrill, Keith/Simmons, David. "A Continued Fraction Algorithm for Spheres." (2018). (forthcoming)

Fishman, Lior/Merrill, Keith/Simmons, David. "Uniformly de Bruijn Sequences and Intrinsic Diophantine Approximation on Fractals." __Annals of Combinatorics__ (2018). (forthcoming)

Fishman, Lior/Kleinbock, Dmitry/Merrill, Keith/Simmons, David. "Intrinsic Diophantine Approximation on Manifolds: General Theory." __Transactions of the American Mathematical Society__ 370. (2018): 577--599.

Fishman, Lior; Merrill, Keith; Simmons, David. "Hausdorff Dimensions of Very Well Intrinsically Approximable Subsets of Quadratic Hypersurfaces." __Selecta Mathematica__ 24. (2018): 3875-3888.