Kristin Shaw

Alexander von Humboldt Postdoctoral Research Fellow

Institut für Mathematik
der Technischen Universität Berlin

Sekretariat MA 6-2

Straße des 17. Juni 136

10623 Berlin, Germany

email: last name (at)math(dot)tu-berlin(dot)de

I am a postdoctoral researcher at the TU Berlin supported by the Alexander von Humboldt foundation. I work primarily in tropical geometry and its connections to real, complex, symplectic and discrete geometries.

Here is my cv

**Upcoming events**

Tropical Geometry in the Alps, September 14-18th.

Singularites et Geometrie Tropicale, Paris October 5-7th.

** In preparation **

Non-existence of hypersurfaces with real fibered logarithmic Gauss map Draft available here

Superforms, tropical cohomology and Poincare duality. with Philipp Jell and Jascha Smacka Draft available here

**Publications **

Tropical Hopf manifolds and contracting germs with Matteo Ruggiero. 44 pages. Submitted.

Tropical surfaces. 43 pages. Submitted.

Brief introduction to tropical geometry. with B. Brugallé, I. Itenberg, and G. Mikhalkin, to appear in the Proceedings of the 21st Gökova Geometry-Topology conference.

Tropicalizations of del Pezzo surfaces. with Q. Ren and B. Sturmfels, to appear
in Advances in Mathematics, honoring Andrei Zelevinsky.

A bit of tropical geometry.
with E. Brugallé. American Mathematical Monthly, 121(7), 563-589 (2014).
Received the Halmos-Ford award from the Mathematical Association of America.

Obstructions to approximating tropical curves in surfaces via intersection theory. with Erwan Brugallé, Canadian Journal of Mathematics (forthcoming).

Tropical (1, 1)-homology for floor decomposed surfaces. "Algebraic and
combinatorial aspects of tropical geometry",
Contemporary mathematics, Eds: E. Brugallé, M.A. Cueto, A. Dickenstein,
E.M. Feichtner and I. Itenberg, 589:529-550, (2013).

A tropical intersection product on matroidal fans SIAM Journal of Discrete Mathematics 27(1), 459-491 (2013).

Local obstructions to approximating tropical curves in surfaces. Oberwolfach Report 20/2011, European Mathematical Society Publishing House, 1144-1146, (2011).

Multiplicity free expansions of Schur P-functions
with Stephanie Van Willigenburg, Ann. Comb. 11:69--77 (2007).

Coincidences among skew Schur functions with Victor Reiner and Stephanie Van Willigenburg, Adv. Math. 216:118--152 (2007).

Tropical intersection theory and surfaces, Ph.D. thesis (2011).

**Previous Teaching at the University of Toronto **

Classical Geometries - MAT402 (Spring 2013, Fall 2013, Spring 2014)

Linear Algebra I - MAT223 (Fall 2012)

Introduction to Number Theory - MAT315HS (Spring 2012)