
I am a tenuretrack assistant professor at Brown University. From 2012 to 2015 I was an NSF Postdoctoral Fellow and Lecturer in the mathematics department at Harvard. I got my PhD from UC Berkeley in 2012, advised by Bernd
Sturmfels.
I am interested in combinatorial algebraic geometry, particularly: algebraic curves and their moduli, graph theory, and
tropical geometry.
I am supported by NSF DMS1701924 and a 2018 Sloan Research Fellowship, an NSF CAREER grant DMS1844768 and the 2020 AWMMicrosoft Research Prize. In Spring 2018 I was supported by a Henry Merritt Wriston Fellowship. In Fall 2018 I was on junior sabbatical at ICERM.
Here is my CV.
Here are my profiles on Google Scholar and MathSciNet.
Research

The S_nequivariant top weight Euler characteristic of M_{g,n}, with C. Faber, S. Galatius, and S. Payne.

Topology of moduli spaces of tropical curves with marked points, with S. Galatius and S. Payne.
This is the second in a series of papers that subsumes the preprint The tropicalization of the moduli space of curves II: Topology and applications.
Submitted.

Tropical curves, graph complexes, and top weight cohomology of M_g, with S. Galatius and S. Payne.
This subsumes a part of the preprint The tropicalization of the moduli space of curves II: Topology and applications.

The GiesekerPetri theorem and imposed ramification, with B. Osserman and N. Pflueger.
Submitted.

Euler characteristics of BrillNoether varieties, with N. Pflueger.
Submitted.

A moduli stack of tropical curves, with R. Cavalieri, M. Ulirsch, and J. Wise.
Submitted.

Lectures on tropical curves and their moduli spaces
Notes for a lecture series at the CIMPACIMATICTP School on Moduli of Curves, Guanajuato, Mexico.
Proceedings of the School on Moduli of Curves, Guanajuato, Lecture Notes of the Unione Matematica Italiana, SpringerUMI, to appear.
Videos of the lectures are available here.

Topology of the tropical moduli spaces M_{2,n}
Supplementary sage code for Section 6

The expected jaggedness of order ideals,
with S. Haddadan, S. Hopkins, L. Moci.
Forum of Mathematics, Sigma (2017), Vol. 5, e9, 27 pages.
arxiv version

Genera of BrillNoether curves and staircase paths in Young tableaux,
with A. López Martín, N. Pflueger, M. Teixidor i Bigas.
Transactions of the AMS, to appear.

Theta characteristics of tropical K_4curves,
with P. Jiradilok.
Combinatorial Algebraic Geometry (eds. G.G. Smith and B. Sturmfels), to appear.

Sandpiles, spanning trees, and plane duality,
with D. Glass, M. Macauley, D. Perkinson, C. Werner, Q. Yang
SIAM J. Discrete Math 291 (2015), 461471.

Fano schemes of determinants and permanents,
with N. Ilten.
Algebra and Number theory 93 (2015), 629679.

Rotorrouting and spanning trees on planar graphs, with T. Church and J. Grochow.
Int. Math. Res. Not. 11 (2015), 32253244.

Tropical
Teichmüller and Siegel spaces, with M. Melo and F. Viviani.
Algebraic and combinatorial aspects of tropical geometry,
Contemporary Mathematics 589 (2013), 4585.

Tropical curves and metric graphs
Ph.D. dissertation, 107 pages, 2012.

Elliptic curves in
honeycomb form,
with B. Sturmfels.
Algebraic and combinatorial aspects of tropical geometry,
Contemporary Mathematics 589 (2013) 87107.
Supplementary materials and
computations

Tropical hyperelliptic
curves
Journal of Algebraic Combinatorics 37 (2013), no. 2, 331359.
Slides

Combinatorics of the
tropical Torelli map
Algebra and Number Theory 6 (2012), no. 6, 11331169.
Slides
Pictures of tropical M_g

Three notions of tropical
rank for symmetric matrices,
with D. Cartwright.
Combinatorica 32 (2012), no. 1, 5584.
Slides
Extended
abstract

The 4x4 minors of a 5xn
matrix are a tropical basis, with A. N. Jensen and E. Rubei.
Linear Algebra and its Applications 435 (2011), no. 7, 15981611.
Slides

The distinguishing
number of the augmented cube and hypercube powers
Discrete Mathematics 308 (2008) no. 11, 23302336.

Improved pebbling
bounds,
with A. Godbole.
Discrete Mathematics 308 (2008) no. 11,
23012306.

The distinguishing
number of the direct product and wreath product action
Journal of Algebraic Combinatorics 24 (2006), no. 3, 331345.

The maximum
distinguishing number of a group
Electronic Journal of Combinatorics 13 (2006), no. 1, R70.

Stably computable properties of network graphs,
with D. Angluin, J. Aspnes, M. J. Fischer, H. Jiang, R. Peralta
Proceedings of the International Conference on Distributed
Computing in Sensor Systems, Lecture Notes in Computer Science,
3560 (2005) 6374.
Teaching

Math 750, Introduction to higher mathematics: combinatorics, Fall 2019

Math 2050, Algebraic geometry, Fall 2019

Math 2520, Algebra, Spring 2019

Math 760, Introduction to higher mathematics: algebra, Spring 2019

Math 2050, Algebraic geometry, Fall 2017

Math 750, Introduction to higher mathematics: combinatorics, Fall 2017

Math 1530, Abstract algebra, Spring 2017

Math 1040, Fundamental problems in geometry, Spring 2016

Math 0540, Honors Linear Algebra, Fall 2015

Math 137, Algebraic geometry, Spring 2014 (Harvard)

Math Ma, Introduction to functions and calculus, Fall 2013 (Harvard)

Math 285y, Tropical geometry, Spring 2013 (Harvard)

Math 233a, Theory of schemes, Fall 2012 (Harvard)
Travel
 AGNES at Brown, September 2123, 2018
 AIM SQuaRE on tropical moduli stacks, San Jose, October 812, 2018
 University of Oregon AWM Distinguished speaker series, October 25, 2018
 Connecticut Valley Colloquium at Amherst, November 1, 2018
 Valley Geometry seminar, UMass Amherst, November 2, 2018
 Stony Brook algebraic geometry seminar, November 7, 2018
 BATMOBYLE, Yale University, November 29, 2018
 University of Michigan colloquium, December 4, 2018
 Intersections seminar, Yale, February 21, 2019
 AGNES, UMass Amherst, Mar 2224, 2019
 Algebra seminar, University of Kentucky, March 27, 2019
 Leonard C. Sulski Memorial Lecture at Holy Cross, April 25, 2019
 MSRI Recent Progress in Moduli Theory workshop, May 610, 2019
 Ideals, Varieties, Applications, Amherst, June 1014, 2019
 Graph complexes in algebraic geometry and topology, Manchester UK, September 911, 2019
 Heilbronn Annual Conference, Bristol UK, September 1213, 2019
 AGNES Boston College, September 2022, 2019
 Facets of Algebraic Geometry, University of Michigan, October 1820, 2019
 Women in Algebraic Geometry, ICERM, Providence, RI, July 2731, 2020
 Semester program in Combinatorial Algebraic Geometry, ICERM, Providence, RI, Spring 2021
Past travel
Students
Miscellaneous
 I'm faculty advisor for the new Horizons seminar at Brown. Please join us!
 I coordinate the peer Mentoring Network in the math department, for undergraduate women at Brown majoring in math, math/CS, or mathecon. Interested students can sign up here.
 I'm a coorganizer of BATMOBYLE.
 BIRS workshop on algebraic, tropical, and nonarchimedean analytic geometry of moduli spaces, May 16, 2016, Oaxaca (coorganized with Matt Baker, Dave Jensen, Sam Payne). Here's our report.
 I support the open access journal Algebraic combinatorics. See here and here.
 I am an alum of Budapest semesters in mathematics and REUs at East Tennessee State and Duluth MN. Check them out.
 I am an alum of the Kneisel Hall chamber music festival and the Perlman music program. Check them out too! Fun fact: Almost every summer since 2005, I schedule all the rehearsals and coachings at Kneisel Hall using graph coloring algorithms.
