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
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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.