PC: Ozde Bayer

Maddie Weinstein

I am an Assistant Professor in the Department of Mathematics and Computer Science at University of Puget Sound.

I received my PhD from UC Berkeley in 2021, where my advisor was Bernd Sturmfels. My dissertation, Metric Algebraic Geometry, was awarded the Friedman Memorial Prize. During Summer 2021, I was a UC President's Postdoctoral Fellow at University of California San Diego. From Fall 2021 to Summer 2023, I was an NSF postdoc supervised by Ravi Vakil at Stanford University.

My current research interests include applied algebraic geometry, distance optimization, the geometry of data, topological data analysis, algebraic statistics, and real algebraic geometry.

I am honored to serve alongside these STEM role models as an American Association for the Advancement of Science IF/THEN Ambassador. Check out this collection for profiles of amazing women in STEM.

Here is my CV, updated January 2023.

Contact

Research

Equivariant Dimensionality Reduction on Stiefel Manifolds, (with A. Lee, H. Lee, J. Perea, and N. Schonsheck). In preparation.

Distance Optimization in Polyhedral Norms with Applications to Algebraic Statistics, (with E. Duarte, N. Kaihnsa, J. Lindberg, and A. Torres). In preparation.

Enumerative Geometry of Curvature of Algebraic Hypersurfaces, (with P. Breiding and K. Ranestad). Submitted.

Voronoi Cells in Metric Algebraic Geometry of Plane Curves, (with M. Brandt). Accepted to Mathematica Scandinavica.

Real Symmetric Matrices with Partitioned Eigenvalues. Linear Algebra and Its Applications 633 (2022), 281-289.

Voronoi Cells of Varieties, (with D. Cifuentes, K. Ranestad, and B. Sturmfels). Journal of Symbolic Computation 109 (2022), 351-366.

96120: The degree of the linear orbit of a cubic surface, (with L. Brustenga i Moncusi and S. Timme). Le Matematiche 75 (2020), 425-437.

The Bottleneck Degree of Algebraic Varieties, (with S. Di Rocco and D. Eklund). SIAM J. Appl. Algebra Geometry 4 (2020), 227-253.

Offset Hypersurfaces and Persistent Homology of Algebraic Varieties, (with E. Horobet). Comput. Aided Geom. Design 74 (2019), 101767.

Learning Algebraic Varieties from Samples, (with P. Breiding, S. Kalisnik, and B. Sturmfels). Revista Matematica Complutense 31 (2018), 545-593.

Adinkras and Arithmetical Graphs, Harvey Mudd College Senior Thesis.

Invariance of the Sprague-Grundy Function for Variants of Wythoff's Game, Integers 16 (2016), G4.

Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, (with A. Best, P. Dynes, X. Edelsbrunner, S. J. Miller, B. McDonald, and C. Turnage-Butterbaugh), Integers 16(2016), A6.

Gaussian Distribution of the Number of Summands in Zeckendorf Decompositions in Small Intervals, (with A. Best, P. Dynes, X. Edelsbrunner, S. J. Miller, B. McDonald, and C. Turnage-Butterbaugh), Fibonacci Quarterly 52(2014), 35-46.

Benford Behavior of Zeckendorf Decompositions, (with A. Best, P. Dynes, X. Edelsbrunner, S. J. Miller, B. McDonald, and C. Turnage-Butterbaugh), Fibonacci Quarterly 52 (2014), 47-53.

Geometric-Progression-Free sets over Quadratic Number Fields, (with A. Best, K. Huan, N. McNew, S.J. Miller, J. Powell, and K. Tor), Proceedings of the Royal Society of Edinburgh, Section A: Mathematics 147(2017), 242-262.

Benford Behavior of Generalized Zeckendorf Decompositions (with A. Best, P. Dynes, X. Edelsbrunner, S.J. Miller, B. McDonald, and C. Turnage-Butterbaugh), Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016, Springer, New York, 2017.

Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions (with A. Best, K. Huan, N. McNew, S.J. Miller, J. Powell, and K. Tor), Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016, Springer, New York, 2017.

Outreach

I am an American Association for the Advancement of Science IF/THEN Ambassador. In this program, I use various media platforms to inspire middle school girls to pursue STEM careers. I have enjoyed being a virtual guest speaker in several K-12 classrooms, reaching approximately 966 students as estimated by Nepris. I am excited to be part of the largest collection of statues of women.

As part of my application to the IF/THEN Ambassador program, I created a video in which I tried to give kids a sense of math research by explaining Topological Data Analysis. Thanks to Ozde Bayer for the videography!

Madeline Brandt and I made a video called MatheMaddie's Ice Cream Map, which you can view here. This video attempts to describe the ideas of the papers Voronoi Cells of Varieties and Voronoi Cells in Metric Algebraic Geometry of Plane Curves (listed above in "Research") to a general audience. We received an Honorable Mention in the NSF We Are Mathematics video competition.

For two years, Madeline Brandt and I ran Gender Equity in Mathematical Studies at UC Berkeley. We founded this group with a grant from the Institute for Advanced Study Women and Mathematics program and Lisa Simonyi as part of the Women and Mathematics Ambassadorship Program. Activities included a reading group to discuss articles on gender diversity in STEM, volunteering as math tutors at Willard Middle School in Berkeley, and events to support undergraduate math majors at Berkeley.

Julia Robinson Mathematics Festival

Youth Support Program at Willard Middle School in Berkeley

Bridge to Enter Advanced Mathematics in New York City

Expanding Your Horizons in Berkeley

Gallery

Each of these images depicts a real algebraic variety describing a concept from Metric Algebraic Geometry.

Conferences and Talks