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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251002T140000
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URL:https://uwaterloo.ca/pure-mathematics/events/phd-thesis-defence-40
SUMMARY:PhD Thesis Defence
CLASS:PUBLIC
DESCRIPTION:NICOLAS BANKS\, UNIVERSITY OF WATERLOO\n\n_Classification Resul
 ts for Intersective Polynomials With No Integral\nRoots_\n\nIn this thesis
  defence\, we introduce strongly intersective polynomials\n- polynomials w
 ith no integer roots but with a root modulo every\npositive integer - of d
 egree 5-10. These are fascinating objects which\nmake contact with many ar
 eas of math\, including permutation group\ntheory\, splitting behaviour of
  prime ideals in number fields\, and\nFrobenius elements from class field 
 theory.\n\nIn particular\, we explain the computation of a list of possibl
 e Galois\ngroups of such polynomials. We also discuss constraints on the\n
 splitting behaviour of ramified primes\; in the process\, we argue that\ni
 ntersectivity can be thought of as a property of a Galois number\nfield\, 
 together with its set of subfields of specified degrees.\n\nMC 5417 or Joi
 n on Teams\n[https://teams.microsoft.com/l/meetup-join/19%3ameeting_ZjU5NW
 RiMzEtNTEwYi00N2NmLTk4ZDktMWU2ODllY2Q0Zjk3%40thread.v2/0?context=%7b%22Tid
 %22%3a%22723a5a87-f39a-4a22-9247-3fc240c01396%22%2c%22Oid%22%3a%2224be364d
 -a903-41ff-a109-80d3b5a1774a%22%7d]
DTSTAMP:20260502T041608Z
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