Sarah Zerbes

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Sarah Zerbes (born August 2, 1978 in Germany ) is a German mathematician and university lecturer . She conducts research as a number theorist at University College London . Her research interests include L-functions , the p-adic Hodge theory, and the Iwasawa theory .

Life and research

After graduating from high school in 1998 at Wilhelm-Dörpfeld-Gymnasium in Wuppertal, Zerbes studied mathematics at the University of Cambridge from 1998 to 2001 with a bachelor's degree in 2001 with distinction. From 2002 to 2005 she did her PhD there under John H. Coates with the dissertation Selmer groups over non-commutative p-adic Lie extensions . During her studies, she received a Marie Curie Fellowship at the Institut Henri Poincaré in Paris in 2004 . After her doctorate, she did a postdoctoral fellowship as a Hodge Fellow at the Institut des Hautes Études Scientifiques near Paris and from 2006 to 2008 as a Chapman Fellow at Imperial College London . From 2008 to 2012 she was a lecturer at the University of Exeter and then until 2014 at University College London, where she has been a professor since 2016. She is married to the mathematician David Loeffler, with whom she introduced a new Euler system with application to the Birch and Swinnerton-Dyer conjecture .

Awards (selection)

Memberships

Publications (selection)

  • with Loeffler, David: Elliptic Curves, Modular Forms and Iwasawa Theory , Springer, 2018, ISBN 978-3-319-83192-3
  • Bloch-Kato exponential maps for local fields with imperfect residue fields , in: Proc. London Math. Soc. , Volume 103, 2011
  • Akashi series of Selmer groups , in: Math. Proc. Camb. Phil. Soc. , Volume 151, 2011
  • Generalized Euler characteristics of Selmer groups , in: Proc. London Math. Soc. , Volume 98, 2009
  • Euler characteristics of Selmer groups I , in: J. London Math. Soc. , Volume 70, 2004
  • with G. Kings, D. Loeffler: Rankin-Eisenstein classes and explicit reciprocity laws , in: Cambridge Journal of Math. , Volume 5, 2017.
  • with A. Lei, D. Loeffler: On the asymptotic growth of Bloch-Kato-Shafarevich-Tate groups of modular forms over cyclotomic extensions , in: anadian Jour. Math. , Volume 69, 2017

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