Travis Schedler
Curriculum Vitae
(Most recent version: http://math.mit.edu/~trasched/cv.html)
Vital Information
 US Citizenship
 Address: Department of Mathematics, Room 2179; MIT; 77 Massachusetts
Ave
Cambridge, MA 02139
Employment plans
I am an AIM fiveyear fellow
and a C.L.E. Moore instructor in mathematics at MIT since Fall 2008.
Education
 20032008: University of Chicago: received Ph.D. under Victor Ginzburg.
 NSF Graduate Research Fellow
 Research Interests: Noncommutative Geometry, Representations of quivers and quantum groups.
 20023: l'Ecole Normale Supérieure. Visiting foreign student.
 19982002: Harvard University. Received B.A. summa cum laude in
Mathematics.
 Wrote an undergraduate thesis "Troels Jorgensen's OncePunctured Torus Theory" under Nathan Dunfield.
 Westinghouse STS Scholarship (5th place), Barry Goldwater Fellowship
Published and Posted Papers, with associated talks
 Normality and quadraticity for
special ample line bundles on toric varieties arising from root systems,
submitted (coauthored with Q. Gashi).
 Presented at AMS sectional meeting, combinatorial representation
theory session, Worcester, MA.
 Computational approaches to Poisson
traces associated to finite subgroups of Sp(2n,C), submitted (coauthored
with P. Etingof, S. Gong, A. Pacchiano, and Q. Ren).
 Presented at Inst. Henri Poincare and U. Manchester algebra
seminars.
 Geometrization of principal
series representations of GL_N associated to regular characters
(coauthored with M. Kamgarpour).
 Presented at U. Toronto and U. Michigan geometry seminars.
 Curved infinityalgebras and
their characteristic classes , submitted (coauthored with A. Lazarev).
 On the asymptotic S_nstructure
of invariant differential operators on symplectic manifolds, submitted
(coauthored with Q. Ren).
 Presented at U. Paris 13 seminar
 Traces on finite Walgebras,
published in Transf. Groups.
 Looping of the numbers game and
the alcoved hypercube, accepted pending revisions to J. Combin. Theory
Ser. A (coauthored with Q. Gashi and D.
Speyer).
 Poisson traces and Dmodules on
Poisson varieties, published in Geom. Funct. Anal. (coauthored with P. Etingof).
 Presented at Newcastle, Cambridge, MIT, Riverside AMS meetings,
and Boston University.
 On dominance and minuscule Weyl
group elements, published in J. Alg. Combin. (coauthored with Q. Gashi)
 Presented at U. Chicago seminar
 Zeroth Poisson homology of
symmetric powers of isolated quasihomogeneous surface singularities,
accepted to J. Reine und Angewandte Math. (coauthored with P. Etingof).
 Presented at Northeastern U. geometry seminar.
 Free products, cyclic homology,
and the GaussManin connection, accepted (with revisions) to Advances in
Mathematics (coauthored with V. Ginzburg).
 Presented at Boston University seminar
 Superpotentials and higher
order derivations, published in J. Pure Appl. Algebra (coauthored with R. Bocklandt and M. Wemyss).
 Differential operators and BV
structures in noncommutative geometry", accepted to Selecta Math. (coauthored with V. Ginzburg).
 Presented at conferences at U. Leicester and U. Texas at Tyler, and
at seminar talks at U. Wisconsin, U. Antwerp, and
at U. Michigan
 CalabiYau Frobenius
algebras, published in J. Algebra (coauthored with C.H. Eu).
 Presented at the
Banff Int. Res. Station's conference on Hochschild cohomology:
Structure and Applications, Sep 2007
 Presented at seminar talk at UC Riverside, Feb 28, 2008
 Hochschild homology of
preprojective algebras over the integers, accepted (with revisions) to
Advances in Mathematics.
 Presented at MIT, Antwerp, and Paris 7
 The necklace Lie
coalgebra and renormalization algebras, J. Noncommut. Geom. 2,
no. 2 (2008), 195214 (coauthored with W. L. Gan).
 Presented by coauthor at AMS sectional meeting
 Twisted tensor
algebras, YangBaxter equations, twists for Hopf algebras, and double
Poisson algebras, revised and expanded version accepted to Contemp. Math.
 Moyal quantization
and stable homology of necklace Lie algebras, Mosc. Math. J. 6, no. 3 (2006), 431459 (coauthored with V. Ginzburg).
 A Hopf algebra
quantizing a necklace Lie algebra canonically associated to a quiver,
Int. Math. Res. Not. 12 (2005), 725760.
 Presented at the joint AMSSIAM conference, summer 2004, and at
seminar talks at MIT and Yale

Trigonometric solutions of the associative YangBaxter equation,
Math. Res. Lett. 10 (2003), 301321.
 Presented at the Ecole Polytechnique for
the quantum groups seminar, 2003

Proof of the GGS Conjecture,
Math. Res. Lett. 7 (2000), no.56, 801826.
 Explicit
quantization of dynamical rmatrices for finite dimensional semisimple
Lie algebras, J. Amer. Math. Soc., 13 (2000), no. 3, 595609 (coauthored with P. Etingof and O. Schiffmann).
 Presented at the workshop on Deformations and Quantization at Northeastern University, 1999
 Settheoretical solutions
to the quantum YangBaxter equation, Duke Math. J., 100 (1999), no. 2, 169209 (coauthored with P. Etingof and A. Soloviev).
 Presented at Loyola University, 1999
Referee experience
 Advances in Mathematics, International Mathematics Research Notices, Manin Festschrift, Journal of Algebra, European Journal of Combinatorics.
Teaching and related experience
 Fall 2010: Linear algebra at MIT (18.700), Instructor
 Fall 2008: Topics course in algebra on quiver representations at MIT
(18.735), Instructor
 20072008: Math Methods for Soc. Sci. at U. Chicago (Math 1956),
Instructor
 20052006: Calculus at U. Chicago (Math 1513), Instructor
 20042005: College Fellow for Math 270 (Complex Analysis) and Math
2034 (Analysis) at U. Chicago.
 January 2005: Planned and taught a weeklong, 15 hour course at the Illinois Mathematics and Science Academy on topology, geometry, and trigonometry of surfaces, together with Matt Day.
 Mentor for Bill Chen, whose combinatorics project
placed in the semifinals of the Intel Science Talent Search.
 20032006: Tutor and student director of the University of Chicago Community Service Center's "Absolute Value Math Camp", an intense quarterly twoweek, 20 hour tutoring program for area middle schools
 Won the President's Volunteer Service award, an annual award given by the University of Chicago to two students to recognize service
 20023: Completed first year of the third cycle of organ interpretation at the 5th district Conservatory of Paris, mentionné bien
 Summer 2001: volunteer overnight supervisor, van driver, and computer technician for the St. James Summer Homeless Shelter run by Harvard students.