Caleb Ji

I am a third year graduate student interested in arithmetic geometry. My advisor is Will Sawin.

Email: caleb.ji@columbia.edu

Mathematics:

Currently organizing: Localization, Periodicity, and Galois Symmetry
• Past seminars organized: Étale cohomology and the Weil conjectures, Geometric class field theory Faltings's theorem, intersection theory, FGA
• Expository papers:
  Atiyah-Hirzebruch
  Bott periodicity
  complex multiplication
  Cohen-Macaulay rings
  cohomological descent
  Dold-Kan
  J-homomorphism
  Mordell-Weil
  Riemann surfaces are algebraic
  Standard conjectures
  Weil for abelian varieties
  Weil for curves
• Presentations: anabelian geometry, motivic cohomology, Grothendieck
• Teaching/Mentoring: Twoples, DRP, \(\underline{\alpha^*}\)
• Papers (do not reflect current interests)

Of other interest:

• seminars at Columbia
• memories of mathematicians:
  Michael Atiyah (part 2)
  Raoul Bott
  Henri Cartan
  Shiing-Shen Chern
  Jean-Marc Fontaine
  Alexander Grothendieck (part 2)
  Friedrich Hirzebruch
  Maryam Mirzakhani
  John Tate
  Daniel Quillen
• interviews with mathematicians
• math meetings
• math seminars
• study abroad in Moscow or Budapest
• The Green Center (formerly known as the New Alchemists)
• experience organic farming with WWOOF
• a tribute to the educator Félix Carrasquer written by Alexander Grothendieck
• Shafarevich's position by Miles Reid (flyer)