Bernd Siebert
Sid W. Richardson Chair of Mathematics #4
About Me
My research lies at the intersection of algebraic geometry and mathematical physics. In a long-term collaboration with Mark Gross, I have been developing a systematic, algebraic-geometric approach to the understanding of the mirror symmetry phenomenon in string theory. This work, which uses techniques from logarithmic and tropical geometry, has been successful in constructing mirror partners in great generality. Our program was recognized by a joint invited talk at the 2014 International Congress of Mathematicians and the 2016 Clay Research Award.
A more modern version of the program uses logarithmic Gromov-Witten theory to produce mirror partners in the generality expected from birational geometry and without any relevant choices ("intrinsic mirror symmetry").
My current research focuses on proving the two central assertions of mirror symmetry in this framework: enumerative and homological mirror symmetry. The latter project is of symplectic geometric flavor, a subject also dear to me.
I also have a broad interest in many other areas of mathematics, including geometric PDEs, algebraic combinatorics, arithmetic geometry, and the mathematics of quantum field theory and string theory.
Contact
Office: PMA 9.160
Address: Department of Mathematics, The University of Texas at Austin, 2515 Speedway, Austin, TX 78712
Email: siebert@math.utexas.edu
Phone: +1 (512) 471-7711