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 in real, complex, symplectic, tropical, and discrete geometries.

Here is my cv

**Upcoming events**

Combinatorial Algebraic Geometry thematic semester (Jerrold E. Marsden postdoctoral fellow) Fields Institute, Toronto, June - December 2016.

Reinhold-Baer-Kolloquium , TU Berlin, January 21, 2017.

Polymake workshop, TU Berlin, February 3, 2017.

PEAK 2017: Workshop on Perspectives and Emerging Topics in Algebra and Konvexity, Austria, February 3-9, 2017.

Tropical curve counts, motivic integration and non-archimedean geometry, Tübingen, March 27-31, 2017.

CIMPA research school on Combinatorial and Computational Algebraic Geometry, University of Ibadan, Nigeria, June 11-24, 2017.

** ☆ Reading Group on Real Algebraic Geometry ☆ ** Max Planck Institute for Mathematics in the Sciences, July 3-7, 2017 (jointly organised with Mario Kummer and Rainer Sinn).

** Please send me an email if you wish to participate or want more information. **

** Preprints **

Cellular sheaf cohomology in Polymake. with Lars Kastner and Anna-Lena Winz. 20 pages. Submitted

Non-existence of torically maximal hypersurfaces. with
Erwan Brugallé, Grigory Mikhalkin and Jean-Jacques Risler.
10 pages.

(This paper is a merger of its first version with
"Non-existence of hypersurfaces with real fibered logarithmic Gauss map")

Superforms, tropical cohomology and Poincare duality. with Philipp Jell and Jascha Smacka. 29 pages. Submitted.

Tropical surfaces. 43 pages. Submitted.

**Publications **

Tropical Hopf manifolds and contracting germs. with Matteo Ruggiero. Manuscripta Math. (2016). doi:10.1007/s00229-016-0849-8. Pages 1-60.

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

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

A bit of tropical geometry.
with Erwan 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).

**Software **

Polymake extension for cellular (co)sheaf (co)homology with a special emphasis on tropical homology, developed with Lars Kastner and Anna-Lena Winz.

**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)