Rebecca Tramel

I am currently a Postdoctoral Researcher at UIUC working with Sheldon Katz. My research interests are Algebraic Geometry and Derived Categories. In particular, I am interested in Bridgeland stability conditions and connections to birational geometry and physics. Previously I was a postgraduate student of Arend Bayer at the University of Edinburgh.

I am on leave for the 2017-2018 academic year, and can be contacted at rtramel@illinois.edu.

Papers

• Diagonal splittings of toric varieties and unimodularity (with Jed Chou, Milena Hering, Sam Payne, Ben Whitney), to appear in Proceedings of the AMS.
• Introduction to Bridgeland stability conditions - Notes for the Superschool on Derived Categories and D-branes, to appear in PIMS Industrial Proceedings.
• Bridgeland stability on surfaces with curves of negative self-intersection.
• The genus of projective curves on complete intersection surfaces.

Past Conferences

• Enumerative Geometry, Mirror Symmetry, and Physics, July 2017
• I-70 Algebraic Geometry Symposium, November 2016
• Superschool on Derived Categories and D-branes, July 2016
• AMS Spring Sectionals, April 2016
• Summer Research Institute on Algebraic Geometry, June 2015
• Graduate Student Bootcamp, June 2015
• Geometry from Stability Conditions, February 2015
  
• BrAg, September 2014
• Introductory School on Derived Categories, September 2014
• Summer School on Derived Categories, June 2014
• Categorically Cardiff, October 2013
• MIT-RTG Mirror Symmetry Workshop, May 2013
• Characteristic p Methods in Algebraic Geometry, April 2013
• Graduate Student Workshop on Moduli Spaces and Bridgeland Stability, March 2013
• Homological Projective Duality and Non-Commutative Geometry, October 2012
• Young Mathematicians Conference, July 2012
• AGTP: School on Algebraic Geometry and Theoretical Physics, June 2012
• Georgia Algebraic Geometry Symposium, May 2012
• VIGRE Algebraic Geometry Summer School, May 2012
• AGNES, March 2012
• AGNES, October 2011

Some Past Course Pages

• Math 418: Abstract Algebra 2 (Spring 2017)
• Math 417: Abstract Algebra 1 (Fall 2016)
• Math 418: Abstract Algebra 2 (Spring 2016)

Research Opportunities

Students considering a graduate degree in Mathematics should consider applying for an REU program. These are opportunities to gain research experience and to get paid doing it!

In 2012, I was a mentor at the University of Connecticut REU under the supervision of Milena Hering. Our students presented at the Young Mathematicians Conference in Ohio, and wrote a paper (to appear in Proceedings of the AMS) on their work.

Math students at UIUC can also gain research experience through the Illinois Geometry Lab.

Math Activities for Algebra Students

• Battleship Game for Practicing Multiplication in Sn
• Symmetry Groups via the Orbit-Stabilizer Theorem (helpful to build models for this activity)
• RSA Encryption and Fermat's Little Theorem