Gus Schrader

I'm a graduate student in the math department at UC Berkeley. My advisor is Nicolai Reshetikhin. At the moment, my research is focused on quantum groups, quantum character varieties, cluster algebras and integrable systems. I'm also interested in applications of theta functions in mathematical physics and algebraic geometry.

How to contact me:

My email address is guss[at]math[dot]berkeley[dot]edu

My office is 1049 Evans Hall.

Research:

Here are some links to my papers on the arXiv:

  • A cluster realization of the R-matrix from quantum character varieties (joint with Alexander Shapiro.)

  • Quantum groups, quantum tori, and the Grothendieck-Springer resolution (joint with Alexander Shapiro.)

  • Dual pairs of quantum moment maps and doubles of Hopf algebras (joint with Alexander Shapiro.)

  • Algebraic integrability of the classical XXZ spin chain with reflecting boundary conditions

  • Integrable systems from the classical reflection equation

  • The Universal Kummer Threefold (joint with Qingchun Ren, Steven Sam and Bernd Sturmfels.)

  • XXZ Scalar Products, Miwa Variables and Discrete KP (joint with Omar Foda.)

    Lecture Slides:

  • Towards a modular functor from quantum higher Teichmuller theory, Berkeley-Tokyo Workshop on Quantum Field Theory and Subfactors, November 2016.

    Seminar:

    Student integrable systems seminar, Fall 2013

    Teaching Fall 2013:

    Math 54 Discussion

    Math 255:

    Term Paper: Fay's Trisecant Identity

    and

    Slides for the accompanying talk

    Other stuff:

    Here are some other things that I have written:

    My undergrad thesis

    An article by Jerry Koliha, Sam Chow and me in the AustMS Gazette on some weird (?) facts about the Lebesgue measure of the boundary of a set.