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Grading
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For those taking the course for a grade, or for those looking for a meaningful way to spend their time on planet earth, here is the exercise sheet. Please submit your work by email, no later than April 18, 2021.
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Notes
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Video recording and
notes of lecture 1, October 18.
Here is a link to a paper of McMullen answering a question that was asked in the lecture: every convex set that tiles by translations admits a lattice tiling.
Video recording and
notes of lecture 2, October 25.
Video recording and
notes of lecture 3, November 1.
Video recording and
notes of lecture 4, November 8. Please note: There was a mistake in the lecture which is corrected in the notes, and is relevant for the exercise sheet.
Video recording and
notes of lecture 5, November 15.
Video recording and
notes of lecture 6, November 22.
Video recording and
notes
of lecture 7, November 29.
Video recording and
notes
of lecture 8, December 6.
No lecture on December 13 (Hannukah)
Video recording and
notes
of lecture 9, December 20.
Video recording and
notes
of lecture 10, December 27.
Video recording and
notes
of lecture 11, January 3. Please note: there are several mistakes in the lecture (can you can find them?). They are corrected in the notes.
Video recording and
notes
of lecture 12, January 10.
Here is a link to a
Lecture of Silverman giving a historical overview and some basic ideas of lattice based cryptography.
Video recording and
notes
of lecture 13, January 17.
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References
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J. W. S. Cassels, An introduction to the geometry of numbers
C. L. Siegel,
Lectures on the geometry of numbers
P. M. Gruber and C. G. Lekkerkerker, Geometry of numbers
J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups
Link to the webpage of a course given in 2004 by Oded Regev
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