Travis Schedler

Curriculum Vitae

Vital Information

• US Citizenship
• Address: Department of Mathematics; 5734 S University Ave; Chicago, IL 60637

Employment plans

Education

• 2003-2008: University of Chicago: received Ph.D. under Victor Ginzburg.
  • NSF Graduate Research Fellow
  • Research Interests: Noncommutative Geometry, Representations of quivers and quantum groups.
• 2002-3: l'Ecole Normale Supérieure. Visiting foreign student.
• 1998-2002: Harvard University. Received B.A. summa cum laude in Mathematics.
  • Wrote an undergraduate thesis "Troels Jorgensen's Once-Punctured Torus Theory" under Nathan Dunfield.
  • Westinghouse STS Scholarship (5th place), Barry Goldwater Fellowship

Published and Posted Papers, with associated talks

• Free products, cyclic homology, and the Gauss-Manin connection, submitted (coauthored with V. Ginzburg).
• Superpotentials and higher order derivations, submitted (coauthored with R. Bocklandt and M. Wemyss).
• Differential operators and BV structures in noncommutative geometry", submitted (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
• Calabi-Yau Frobenius algebras, submitted (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, conditionally accepted by Advances in Mathematics.
  • Presented at MIT's infinite-dimensional algebra seminar
• The necklace Lie coalgebra and renormalization algebras, to appear in J. Noncommutative Geometry (coauthored with W. L. Gan).
  • Presented by coauthor at AMS sectional meeting
• Twisted tensor algebras, Yang-Baxter equations, twists for Hopf algebras, and double Poisson algebras, unpublished manuscript.
• Moyal quantization and stable homology of necklace Lie algebras, Mosc. Math. J. 6, no. 3 (2006), 431--459 (coauthored with V. Ginzburg).
• A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver, Int. Math. Res. Not. 12 (2005), 725--760.
  • Presented at the joint AMS-SIAM conference, summer 2004, and at seminar talks at MIT and Yale
• Trigonometric solutions of the associative Yang-Baxter equation, Math. Res. Lett. 10 (2003), 301-321.
  • Presented at the Ecole Polytechnique for the quantum groups seminar, 2003
• Proof of the GGS Conjecture, Math. Res. Lett. 7 (2000), no.5-6, 801-826.
• Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras, J. Amer. Math. Soc., 13 (2000), no. 3, 595-609 (co-authored with P. Etingof and O. Schiffmann).
  • Presented at the workshop on Deformations and Quantization at Northeastern University, 1999
• Set-theoretical solutions to the quantum Yang-Baxter equation, Duke Math. J., 100 (1999), no. 2, 169-209 (co-authored 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

• 2007-2008: Instructor for Math 195--6 (Math Methods for Soc. Sci.)
• 2005-2006: Instructor for Math 151--3 (Calculus).
• 2004-2005: College Fellow for Math 270 (Complex Analysis) and Math 203--4 (Analysis).
• January 2005: Planned and taught a week-long, 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.
• 2003-2006: Tutor and student director of the University of Chicago Community Service Center's "Absolute Value Math Camp", an intense quarterly two-week, 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
• 2002-3: 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.