I am a third-year PhD student at Columbia interested in algebraic geometry and number theory, specifically etale cohomology, function fields, (rational) curves on smooth hypersurfaces, geometric ...

I heard this morning that Richard Hamilton passed away yesterday early this morning. He was a renowned figure in geometric analysis, and a faculty member here at Columbia since 1998. In terms of ...

Quanta magazine has just put out an impressive package of material under the title The Unraveling of Space-Time. Much of it is promoting the “Spacetime is doomed” point of view that influential ...

Graeme Baker is an Assistant Professor with the Department of Statistics, and his research interests are in probability theory, partial differential equations, and applications of these fields. His ...

Professor of Mathematics, Barnard College, Columbia University.

In this course we will discuss the progression of ideas in the history of algebraic geometry, with a focus on the period from Riemann through Grothendieck (roughly 1850 - 1970). Please see the ...

Here are Juan's notes on his Lecture 4. Here are Juan's notes on his lecture 5. Here are Juan's notes on his Lecture 6. Here are Juan's notes on his Lecture 7. Here are Juan's notes on his Lecture 8.

The Columbia Algebraic Geometry Seminar this semester is online. Because of this, it also has a temporary alternate schedule. It takes place every other Friday at 1:00 pm on Zoom (password is the ...

Extrinsic flows involve the evolution of a submanifold within a larger ambient space, where its velocity is determined by its external curvature. The objective of this seminar is to explore ...

If you're coming by subway from downtown or midtown Manhattan, take the #1 or #9 train uptown and get off at the 116th Street Station (Columbia University Station). The fare is flat $2.00. Tokens and ...

Jan 19: José Simental (UNAM) "Cluster structure on braid varieties" Abstract: The braid varieties of the title are smooth affine algebraic varieties that naturally generalize important Lie-theoretic ...

I am currently a Ritt Assistant Professor at Columbia University. Previously I was a PhD student at SISSA. I obtained my PhD in 2019 from SISSA in Trieste, working under the supervision of Alexander ...