Florian
Herzig from the University of Toronto has been selected as the recipient
of the 2014 Ribenboim Prize of the Canadian Number Theory Association.
The Ribenboim Prize, named in honour of Paulo Ribenboim, is awarded
for distinguished research in Number Theory by a mathematician who
is Canadian or has close connections to Canadian Mathematics. Previous
winners are: Andrew Granville (1999), Henri Darmon (2002), Michael
Bennett (2004), Vinayak Vatsal (2006), Adrian Iovita (2008), Valentin
Blomer (2010), Dragos Ghioca (2012). The 2014 award will be presented
at the CNTA XIII meeting, to be held from June 16 to 20, 2014 at
Carleton University.
Florian Herzig has produced deep work across a broad spectrum of
number theory, arithmetic geometry and representation theory. The
main theme of his research is the emerging mod p Langlands programme,
an area where he is undoubtedly a world expert.
One of his striking results is to reduce the classification of
irreducible mod p representations of a padic GL(n) to the case
of supersingular representations. Recently, in joint work with Henniart
and Vigneras, Herzig proved the analogous result for an arbitrary
connected reductive group, thus completing the pioneering work of
Bathel and Livné for the group GL(2).
He has also made essential contributions to the theory
of padic Galois representations, for example his work on Serre's
weights for U(3), his joint work with Emerton and Gee on weight
cycling, and his work with Tilouine on mod p Galois representations
for GSp(4).
Ribenboin Prize Medal
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