Frank Calegari

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Frank Calegari, Oberwolfach 2007

Francesco Damien "Frank" Calegari (* after 1972) is an Australian mathematician who deals with number theory.

Life

Calegari attended school and university (bachelor's degree) in Melbourne and received his PhD in 2002 with Kenneth Ribet at the University of California, Berkeley (Ramification and semistable abelian varieties). From 2002 to 2006 he was Benjamin Peirce Assistant Professor at Harvard University . He taught at Northwestern University and is a professor at the University of Chicago .

He deals with number theory of modular forms and automorphic forms and the presumption of reciprocity in the Langlands program (connection with Galois representations). He worked with Akshay Venkatesh on his program to include Torsion in the Langlands program.

Calegari was a 5 year fellow at the American Institute of Mathematics. In 2010/2011 he was a von Neumann Fellow at the Institute for Advanced Study .

He is a younger brother of Danny Calegari .

Fonts

  • Even Galois Representations and the Fontaine-Mazur Conjecture . In: Inv. Math. , Volume 185, 2011, pp. 1-16, arxiv : 0907.3427 . Part 2. In: J. Am. Math.Soc. , Volume 25, 2012, pp. 533-554, arxiv : 1012.4819
  • with Akshay Venkatesh : A torsion Jacquet-Langlands correspondence . arxiv : 1212.3847 Arxiv 2012
  • with David Geraghty: Modularity lifting beyond the Taylor-Wiles method . In: Inventiones Mathematicae , Volume 211, 2018, pp. 297-433. arxiv : 1207.4224
  • with David Geraghty: Minimal modularity lifting for non-regular symplectic representations . appears in: Duke Math. J. , arxiv : 1907.08691 , Appendix additionally with Michael Harris Bloch-Kato conjectures for automorphic motives , arxiv : 1907.08694
  • with Patrick B. Allen, Ana Caraiani , Toby Gee , David Helm, Bao V. Le Hung, James Newton, Peter Scholze , Richard Taylor , Jack A. Thorne : Potential automorphy over CM fields . 2018, arxiv : 1812.09999

Web links

Individual evidence

  1. ↑ In 1992 he received a bronze medal at the Mathematics Olympiad in Moscow, IMO participant from Australia
  2. ↑ Frank Calegari in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Entry at the IAS
personal data
SURNAME Calegari, Frank
ALTERNATIVE NAMES Calegari, Francesco Damien
BRIEF DESCRIPTION Australian mathematician
DATE OF BIRTH after 1972