Fall 2017 course web page:
Math 6670: Algebraic Geometry
Older courses at the bottom of the page.
Prof. Allen Knutson
What's on Allen's whiteboard right now?
My papers at the arXiv, my 1-hour mathematics of juggling lecture on YouTube (or translated into Italian)
Notes from my summer school in Dijon 2017, on Schubert varieties, subword complexes, Frobenius splitting, and Bruhat atlases
Slides from my AMS talk at Hunter May 2017, on Schubert puzzles, R-matrices, and invariant trilinear forms
Slides from my talk at JMM 2017, on the cyclic Bruhat decomposition of flag manifolds
Notes from my talk at the Michigan State AMS conference, 2015, on conormal varieties to Schubert varieties
Notes from and video of my talk at Andrei Zelevinsky's memorial conference, April 2013.
Notes from my lecture series at the Osaka 2012 summer school on Schubert calculus
Notes from my lecture series at the Lisbon 2012 summer school on combinatorics of Schubert polynomials
Notes from my lecture series, "Schubert calculus and Quantum Information", at the 2009 Fields Institute "Workshop on Quantum Marginals and Density Matrices"
Notes from my talk at Bert Kostant's 80th birthday conference
Notes from my AMS plenary address on Schubert calculus and puzzles
Notes from my AMS-MAA invited address on a stratification of the Grassmannian by juggling patterns
Spring 2017: Math 3340: Abstract Algebra
and Math 6320: Algebra
Fall 2016 course web page: Math 7510: Berstein seminar on Sheaves on Manifolds
Spring 2016: Math 6500: Lie groups
Fall 2015: Math 3210, Manifolds and differential forms
Spring 2014: Math 2240, Linear algebra and multivariable calculus
Fall 2014: Math 7690, Schubert varieties and degeneration, and Math 2230, Linear algebra and multivariable calculus
Spring 2013: Math 2220: Multivariable calculus and Math 4370: "Applicable algebra", or, Gröbner bases
Fall 2012: Math 7310: Flag manifolds and symmetric subgroups
Spring 2012: Math 2240: integration and Math 6500: Lie groups
Fall 2011: Math 7670: Algebraic Geometry and Math 7610: Seminar in Geometry (only part III) now with notes!
Spring 2011: Linear Algebra
Fall 2010: Math 7310: Introduction to geometric representation theory
Spring 2010: Math 6500: Lie groups and Math 7670: Cohomology of sheaves
Spring 2009: Math 4370 and Math 7390.
(Most of) my students and grandstudents, as of 2016:
Students not pictured: Anna Bertiger, Voula Collins, Andre Henriques, Hannah Keese, Sergio da Silva, Michelle Snider.
Grandstudents not pictured: Matthew Arbo, Bruce Fontaine, Bradley Hannigan-Daley, Justin Hilburn, Max Kutler, Stephen Morgan, Daniel Moseley, Daniel Rowe, Alex Weekes.
Some of them are in this older picture. There's also this:
My current students arePlay Katamari Damacy on this page