Nicholas Proudfoot
Email: njp - at - uoregon.edu
Office: 322 Fenton Hall
Address:
Department of Mathematics1222 University of Oregon Eugene, OR 97403 |

In the winter of 2017 I am teaching Calculus with Theory. My office hours are Monday 1:00 - 1:50 and Thursday 2:00 - 2:50.

I received my Ph.D. from Berkeley in 2004, under the supervision of Allen Knutson. I've had five students graduate so far; you can see them on my family tree. My current students are Katie Gedeon and Patrick Durkin.

Toric varieties (seven week course, fall 2010)

Geometric representation theory and categorification (three lecture minicourse, summer 2011)

Symplectic geometry (ten week course, fall 2013).

2010: Operator Algebras and Conformal Field Theory (with André Henriques)

2011: Cluster Algebras and Lusztig's Semicanonical Basis (with David Speyer)

2012: Categorical Representation Theory (with David Ben-Zvi)

2013: Quantum/Affine Schubert Calculus (with Allen Knutson)

2014: Kazhdan-Lusztig Theory and Soergel Bimodules (with Ben Elias)

2015: Positivity in Combinatorial Algebraic Geometry (with June Huh)

2016: Knot homologies, Hilbert schemes, and Cherednik algebras (with Jacob Rasmussen)

2017: Symplectic duality (the Abelian case) (with Ben Webster)

* Workshop on Algebra and Representation Theory Held on Oregonian Grounds

I am interested in symplectic algebraic varieties, which come up a lot in representation theory (e.g. quiver varieties, Hilbert schemes on ALE spaces, the Springer resolution, slices in the affine Grassmannian). The spaces with which I work the most are hypertoric varieties, which interact with combinatorial objects such as matroids, zonotopes, and hyperplane arrangements.

Recently I have been very interested in Kazhdan-Lusztig polynomials of matroids. Though these polynomials have a purely combinatorial definition, they have strong connections to algebraic geometry (compactifications of arrangement complements) and combinatorial representation theory (FI- and FS-modules).

Here is a list of my preprints.

With Yuan Xu and Ben Young; preprint. pdf

With Ben Young; to appear in the

With Katie Gedeon and Ben Young; to appear in

With Katie Gedeon and Ben Young;

With Daniel Moseley and Ben Young;

With Matthew Arbo;

With Max Wakefield and Ben Young;

With Ben Elias and Max Wakefield;

With Michael McBreen;

With Tom Braden, Anthony Licata, and Ben Webster;

With Travis Schedler;

With Tom Braden and Ben Webster;

With Tom Braden, Anthony Licata, and Ben Webster;

With Tom Braden, Anthony Licata, Chris Phan, and Ben Webster;

With Atanas Atanasov, Christopher Lopez, Alexander Perry, and Michael Thaddeus;

With Tom Braden, Anthony Licata, and Ben Webster;

With Tom Braden;

With Aaron Bergman;

With Aaron Bergman;

Contemporary Mathematics 388, AMS, Providence, RI, 2005. pdf

With Ben Webster;

With David Speyer;

Announcement of results. pdf

U.C. Berkeley Ph.D. thesis, Spring 2004. pdf

With Tamas Hausel;

With Megumi Harada;

With Megumi Harada;

Harvard University senior thesis, Spring 2000. pdf

With Michael Falk;

In India, David Farris and I had small roles in the soap opera Kasauti Zindagi Ki; you can see the clip here. |