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Prof Andrei Yafaev
Appointment
  • Professor of Pure Mathematics
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
Research Groups
Research Summary

I study various arithmetico-geometric properties of Shimura varieties. Shimura varieties can be viewed as higher dimensional analogs (in fact generalisations) of the classical modular curves. They can also be viewed as ``non-abelian'' analogs of abelian varieties. A lot of theorems and conjectures about Shimura varieties are inspired by these analogies.

One problem of particular interest to me is the Andre-Oort conjecture on the distribution of special points in Shimura varieties. Besides its intrinsic interest, some special cases of this conjecture have important applications to the transcendence theory of hypergeometric functions.

I am also interested in the study of rational points on some Shimura varieties over local and global fields.

Appointments
2009 Reader Mathematics University College London, United Kingdom
2005 – 2009 Lecturer Mathematics University College London, United Kingdom
2003 – 2005 EPSRC fellow and lecturer   University College London, United Kingdom
2001 – 2003 Research Associate (Post-Doc)   Imperial College London, United Kingdom
Academic Background
2000 PhD Doctor of Philosophy Universite de Rennes I
1998 MA Diplôme d'études approfondies Universite de Rennes I
1998 MAI Maîtrise Universite de Rennes I
1997 LI Licence Universite de Rennes I
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