Education

Technische Universität Berlin

Ph.D. in Mathematics September 2016

Title: On Relating Aspects of Tropical Geometry, Cluster Algebras, and Zonotopal Algebras
Supervisor: Olga Holtz

University of California, Berkeley

M.A. in Mathematics May 2013

Title: Cluster Algebras and the Positive Part of a Tropical Variety
Supervisor: Lauren Williams

University of California, Berkeley

B.A. in Mathematics December 2009

Honors Thesis Title: Tropical Quadratics Through Three Points
Supervisor: Bernd Sturmfels

Honors

Berlin Mathematical School Fellowship Recipient 2015

NSF Graduate Research Fellowship Recipient 2011

Berkeley Graduate Division Summer Grant 2011

NSF Fellowship Graduate Research Honorable Mention Recipient 2010

UC Berkeley Chancellor’s Fellowship Recipient 2010

MAA-AMS Meeting Undergrad. Poster Session Award Recipient 2010

Wipprecht-Stiftung Research Grant 2010

UC Berkeley Alumni Scholarship Leadership Award 2006

UC Berkeley Cal Bears Scholarship 2006

Papers

Slicing the simplex via a zonotopal analysis of double-tree graphs
(with Amos Ron)
in preparation.

Towards a Uniform Subword Complex Description of All Acyclic Finite Type Cluster Algebras
(with Christian Stump)
preprint (2016) arXiv:1608.07083.

Cluster Algebras of Type D4, Tropical Planes, and the Positive Tropical Grassmannian
(with Cesar Ceballos and Jean-Philippe Labbé)
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry (2016), 1–22.

Moduli of Tropical Plane Curves
(with Michael Joswig, Ralph Morrison and Bernd Sturmfels)
Research in the Mathematical Sciences 2:4 (2015) 31pp.

Tropical Quadrics through Three Points
(with Bernd Sturmfels)
Linear Algebra and its Applications 435 (2011) 1778-1785.

Teaching

Freie Universität Berlin

Lehrauftrag October 2015 - March 2016

Teaching assistant of Günter Ziegler for the course Diskrete Geometrie I.

Stanford University

Stanford International Youth Program Instructor August 2014

Instructor for Stanford University’s Stanford International Youth Program, teaching an introduction to statistics and Bayes' theorem.

Stanford University

Stanford Pre-Collegiate Studies Course Instructor July 2012 - August 2014

Course instructor for Stanford University’s Pre-Collegiate Studies Summer Institutes logic and problem solving courses.

Eduexplora and Stanford University

Course Instructor January 2013

Course instructor for Eduexplora and Stanford University’s Pre-Collegiate Studies Summer Institutes high school logic and problem solving course in Santiago, Chile.

University of California, Berkeley

Graduate Student Instructor January 2013 - June 2013

Graduate Student instructor for Math 54, UC Berkeley’s course on linear algebra and differential equations, under Constantin Teleman.

University of California, Berkeley

Graduate Student Instructor January 2012 - June 2012

Graduate Student instructor for Math 54, UC Berkeley’s course on linear algebra and differential equations, under Maciej Zworski.

University of California, Berkeley

Graduate Student Instructor January 2011 - June 2011

Graduate Student instructor for Math 1B, UC Berkeley’s course on the second semester of single variable calculus, under Richard Borcherds.

Talks

Cluster Algebras of Type D4 and Tropical Positivity
BMS Student Conference
Technische Universität Berlin
18 February 2016

Cluster Algebras of Type D4 and Tropical Positivity
Algebraic Geometry Seminar
Universität des Saarlandes
7 January 2016

Cluster Algebras of Type D4 and Tropical Positivity
Seminar on NonLinear Algebra
Technische Universität Berlin
10 December 2015

Cluster Algebras of Type D4 and Tropical Positivity
Discrete Geometry Seminar
Freie Universität Berlin
26 November 2015

Toric Varieties and Fans
Toric Varieties Seminar
Freie Universität Berlin
5 May 2015

Moduli of Tropical Plane Curves
Combinatorics Seminar
Fields Institue, Toronto
1 April 2015

Moduli of Tropical Plane Curves
BMS Student Conference
Technische Universität Berlin
19 February 2015

Moduli of Tropical Plane Curves
Discrete Geometry Seminar
Freie Universität Berlin
29 January 2015

Moduli of Tropical Plane Curves
Algebra Seminar
Queen Mary, University of London
26 January 2015

Moduli of Tropical Plane Curves
Combinatorics Seminar
Research Institute for Symbolic Computation, Linz
21 January 2015

Tropical Fans and the Moduli Spaces of Tropical Curves
Tropical Curves Seminar
Technische Universität Berlin
12 February 2014

Realizing Metric Graphs of genus g as Smooth Tropical Plane Curves
Ph.D. Colloquium
University of Regensburg
5 June 2014

Realizing Metric Graphs of genus g as Smooth Tropical Plane Curves
Student Tropical Algebraic Geometry Seminar
Yale University
8 May 2014

Constructing Representations Using the Borel-Weil Method
Lie Groups Seminar
Freie Universität Berlin
12 February 2014

Constructing Representations Using the Peter-Weyl Theorem
Lie Groups Seminar
Freie Universität Berlin
5 February 2014

Cluster Algebras and the Positive Part of a Tropical Variety
Graduate Student Combinatorics Conference
University of Minnesota
21 April 2013

Reduced Plabic Graphs and Cluster Transformations
Geometric Representation Theory Seminar
University of California, Berkeley
6 March 2013

The Positive Part of a Tropical Variety
Cluster Algebras/Fock-Goncharov Seminar
Mathematical Sciences Research Institute, Berkeley
30 November 2012

Connections to Cluster Algebras
Graduate Course on Combinatorial Commuative Algebra
University of California, Berkeley
19 November 2012

The Generalized Sturmfels-Tevelev Multiplicity Formula
Tropical and Non-Archimedean Geometry Seminar
University of California, Berkeley
6 March 2012

Inflection Points of Real and Tropical Algebraic Curves
Graduate Course on Algebraic Curves
University of California, Berkeley
29 November 2011

Bezout’s Theorem and Refinements of the Degree of Projective Schemes
Graduate Course on Commutative Algebra
University of California, Berkeley
6 April 2011

The Tropical Grassmannian
Discrete Math Seminar
University of California, Berkeley
17 November 2010

Connections between Log and Tropical Geometry
Mirror Symmetry Seminar
University of California, Berkeley
14 October 2010

Tropical Quadrics through Three Points
2nd Tropical Ph.D. Student Conference
Universität Frankfurt
16 July 2010

Tropical Quadrics through Three Points
Tropical Geometry Seminar
University of California, Berkeley
7 May 2009

On a Generalization of the van der Waerden Theorem
Graduate Course on Algebraic Combinatorics
University of California, Berkeley
24 April 2009

Ramsey Theory and Accessibility of Diffsequences
Northern California Undergraduate Math Conference
Sonoma State University
4 April 2009

Classical Cryptography and Cryptanalysis
Cryptography Seminar
University of California, Berkeley
29 August 2007

Favorite Quotes

  • Algebra is but written geometry; geometry is but drawn algebra.

    Sophie Germain
  • Der Horizont der meisten Menschen ist ein Kreis mit dem Radius 0. Und das nennen sie ihren Standpunkt.

    Albert Einstein
  • What is man in nature? Nothing in relation to the infinite, everything in relation to nothing, a mean between nothing and everything.

    Blaise Pascal
  • Time is an illusion. Lunchtime doubly so.

    Douglas Adams

Contact Details

Sarah B. Brodsky
Institut für Mathematik
Straße des 17. Juni 136
Berlin Charlottenburg
MA 412

brodsky@math.tu-berlin.de