David E Speyer

Contact Information:


E-mail: speyer@umich.edu

Office: 2844 East Hall

Phone (Cell): (734)-255-8610
Phone (Office): (734)-764-6897

Mail (Work):
David E Speyer
Department of Mathematics
2844 East Hall
530 Church Street
Ann Arbor, MI
48109-1043 USA
My Name:
My last name is pronounced "spire", like the top of a church. But I'll answer to "Sp-vowel-r!" or to "David!". For the curious, it is derived from the city of Speyer, Germany.

About Me:

I am an Associate Profesor in the department of mathematics at the Univeristy of Michigan. I am married and have one daughter.

In Fall 2014, I will teach Algebraic Geometry (Math 631) and Honors Analysis (Math 395). Both of these are the first term of year long courses, and I will teach both halves.

Research

I enjoy algebraic problems with a combinatorial flavor. If you started out with a well motivated algebraic question but wound up with lots of little complicated pictures, I probably want to hear about it. Some topics I can usually be relied upon to think about: tropical geometry, cluster algebras, flag manifolds and other geometry of Lie Groups, interesting degenerations of algebraic structures, exact results and asymptopics of perfect matchings (eg Arctic Circle phenomena). I also know a reasonable amount of Number Theory and enjoy talking about it, although as yet this is not a research interest.

Teaching

I have recently taught Calculus, Linear Algebra, graduate algebra (mostly Galois theory), a class on the combinatorial representation theory of GLn, Hodge theory, combinatorics (mostly graph theory) and a course on perfect matchings.

I taught a sequence of lectures on Tropical Geometry, focusing on connection to Cluster Algebras, at the Jussieu Summer School. You can read my lecture notes.

I am a member of the REBUILD committee, which is dedicated to improving the teaching of introductory science and mathematics courses at the University of Michigan.

Students

My current students are Giwan Kim (standard monomial theory and toric degenerations), Jake Levinson (higher dimensional analogues of the Mukhin-Tarasov-Varchenko theorem and K-theory of Grassmannians), Rohini Ramadas (Hurwitz spaces and connections to dynamics) and John Wiltshire-Gordon (representation stability, configuration spaces and representations of categories). My graduated student Nic Ford wrote his thesis on Knutson's shifting construction for positroids.

I have supervised undergraduate research projects by Jonathan Schneider, David Rush and Patrick Lenning.

Biography

Before coming to the University of Michigan as a professor, I was a Clay Research Fellow. In that capacity, I spent two years (2005-2007) at the University of Michigan and three (2007-2010) at MIT.

I have a Ph. D. in mathematics from UC Berkeley, where I was a student of Bernd Sturmfels. My thesis is on tropical geometry, an approach to turning algebraic geometry problems into polyhedral geometry. Before coming to Berkeley, I was an undergraduate at Harvard. While there, I worked for Jim Propp's research group REACH and wrote an undergraduate thesis on the Eichler-Shimura correspondence under William Stein. I spent the rest of my time doing theater tech, hanging out with science fiction fans and working on Les Phys — the physics musical!

I spent four years as a counselor at PROMYS, a number theory program for high school students, and highly endorse it either as a place to study or to work. I spent my own high school summers at MOP, which I found great but works better for some people than for others. I went to High School at Choate Rosemary Hall and to Middle School at Talcott Mountain Academy. If you are a young nerd in Connecticut, looking for a middle school or after school program, I highly recommend Talcott.

Recent Papers

  • Links in the complex of weakly separated collections with Suho Oh.
  • Cluster algebras of Grassmannians are locally acyclic with Greg Muller.
  • Schubert problems with respect to osculating flags of stable rational curves Algebraic Geometry, to appear.
  • Dressians, Tropical Grassmannians and their rays with Sven Herrmann and Michael Joswig.
    Forum Mathematicum to appear.
  • Acyclic cluster algebras revisited with Hugh Thomas. Proceedings of the Abel symposium to appear.
  • Positroid Varieties: Geometry and Juggling with Allen Knutson and Thomas Lam. Compositio to appear.
  • Combinatorial frameworks for cluster algebras, with Nathan Reading.
  • Weak Separation and Plabic Graphs with Suho Oh and Alex Postnikov.

    Click HERE for a complete bibliography