# 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 groups, Formal privacyProfile

My research lies at the intersection of number theory, dynamics, and geometry; specifically the field of Diophantine approximation. Recently I have also been exploring notions of formal privacy, and how to create useful data publications which satisfy these definitions.Courses Taught

EL | 70a | Observing Difference: Faculty Student Partnership Program |

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

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

MATH | 15a | Applied Linear Algebra |

MATH | 20a | Multi-variable Calculus |

MATH | 23b | Introduction to Proofs |

MATH | 36a | Probability |

MATH | 36b | Mathematical Statistics |

QR | 10a | Quantitative Thinking for the Modern Citizen |

Awards and Honors

Louis Dembitz Brandeis Prize for Excellence in Teaching (2019)

Scholarship

Fishman, Lior/ Kleinbock, Dmitry/ Merrill, Keith/ Simmons, David. "Intrinsic Diophantine Approximation on Quadric Hypersurfaces." __Journal of the European Mathematics Society (JEMS), to appear.__ (2021). (forthcoming)

Clark, Steve/ Clifton, Chris/ Dajani, Aref/ Hanson, Eric/ Merrill, Keith/ Merrill, Shawn. "Differentially Private Post-Stratification." March 2020. (forthcoming)

Fishman, Lior/ Ly, Tue/ Merrill, Keith/ Simmons, David. "Dirichlet's Theorem for Rank 1 Elliptic Curves." (2020). (forthcoming)

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