Rachel Webb

I am an Assistant Professor at Cornell University. I am interested in problems related to Gromov-Witten theory, especially moduli of curves and maps. I received my PhD under the direction of Yongbin Ruan.

Here is my CV.

Email: r.webb at cornell dot edu

Research

Publications and Preprints

Ample vector bundles and moduli of tame stacks. With Daniel Bragg and Martin Olsson. Jul 2024.
Crepant Transformation Conjecture For the Grassmannian Flop. With Wendelin Lutz and Qaasim Shafi. Apr 2024.
Subtleties of quantum Lefschetz without convexity. With Nawaz Sultani. Aug 2022. To appear in Proceedings of the American Mathematical Society.
Some applications of abelianization in Gromov-Witten theory. With Nawaz Sultani. Aug 2022.
The moduli of sections has a canonical obstruction theory. Forum of Math, Sigma. 10(2022), E78.
Abelianization and quantum Lefschetz for orbifold quasimap I-functions. Advances in Mathematics, 439(2024), Art. No. 109489.
Virtual cycles of stable (quasi)-maps with fields. With Qile Chen and Felix Janda. Advances in Mathematics. 385(2021), Art. No. 107781.
The abelian/nonabelian correspondence for I-functions. International Mathematics Research Notices, 3(2023), 2592–2648.
Landau-Ginzburg mirror symmetry conjecture. With Weiqiang He, Si Li, and Yefeng Shen. Journal of the European Mathematical Society. 24.8(2022), 2915-2978.
The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order. With Paola Comparin, Christopher Lyons, and Nathan Priddis. Advances in Theoretical and Mathematical Physics. 18.6(2014), 1335-1368.
Landau-Ginzburg mirror symmetry for orbifolded Frobenius algebras. With Amanda Francis, Tyler Jarvis, and Drew Johnson. Proceedings of Symposia in Pure Mathematics. 85(2012), 333-353.

Expository Writing

The stack of admissible covers is algebraic. With Elsa Coriani, Neeraj Deshmukh, Brett Nasserden, Emanuel Reinecke, and Nawaz Sultani. To appear in: Stacks Project Expository Collection, London Mathematical Society Lecture Note Series. Cambridge University Press. 2022.
Quasimaps and some examples of stacks for everybody. In: Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model, Contemporary Mathematics. American Mathematical Society. 2021.

Teaching

At University of California, Berkeley:

Math 113: Introduction to Abstract Algebra (Spring 2023)
Math 185: Introduction to Complex Analysis (Fall 2022)
Math H53: Honors Multivariable Calculus (Spring 2021)
Math 113: Introduction to Abstract Algebra (Fall 2021)

At University of Michigan:

Math 115: Calculus I (Winter 2019)
English 105: Writing and Academic Inquiry (Fall 2018)
Math 105: Data, Functions, and Graphs (Fall 2017)
Math 118: Finite Mathematics (Spring 2015)

Writing and Mathematics:

I am interested in mathematical communication in all contexts.

I have used writing assignments in my math classes.
I run workshops for communicating math.
I have taught a freshman English class on the topic of mathematical literacy.

And I write math stories for my kids and their classrooms.