# 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

**Please visit my new faculty profile page.**

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 | 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.