## Rohini Ramadas

I am an assistant professor the University of Warwick. During Spring 2022, I'll be a McDuff postdoctoral fellow at MSRI's semester on complex dynamics.

My research is in algebraic geometry and complex/algebraic dynamics. More specifically, I’m interested in the dynamics of self-maps of P^1 and P^n, in dynamical degrees, in moduli spaces of curves and maps, in Berkovich spaces and tropical geometry. I've studied dynamical systems on moduli spaces as well as moduli spaces of dynamical systems. Here is my CV.

## Contact

My email address is: Rohini.Ramadas@warwick.ac.uk

## Recent and upcoming talks (online)

April 29 2020: ADIOS (Arithmetic Dynamics International Online Seminar)

May 15 2020: Stanford University Algebraic Geometry Seminar

Oct 28 2020: University of Georgia Algebraic Geometry Seminar

Nov 2 2020: University of Illinois (Chicago) Algebraic Geometry Seminar

Nov 5 2020: Postdoc seminar at MSRI themed semester on "Random and Arithmetic Structures in Topology"

Nov 13 2020: WAGS (Western Algebraic Geometry Seminar)

Nov 17 2020: Algebra-Geometry-Combinatorics online seminar

Dec 4 2020: University of California, San Diego Algebraic Geometry Seminar

Jan 9 2021: Special Session on Current Trends in Arithmetic Dynamics at the JMM

Jan 12 2021: Colloquium at the University of Texas, Austin

Jan 15 2021: Colloquium at Brown University

Jan 25 2021: Infosys-Chandrasekharan Random Geometry Centre, Colloquium

April 13 2021: University of California, Riverside Algebraic Geometry Seminar

May 22 2021: Moduli Across the Pandemic (MAP)

## Biography

During 2018-2021, I was a Tamarkin Assistant Professor of Mathematics and NSF postdoctoral fellow at Brown University. During the academic year 2017-2018, I was an NSF postdoctoral fellow at Harvard University. I received a Ph.D. in Mathematics in 2017 from the University of Michigan, advised by David Speyer and Sarah Koch. In 2011, I received a Master’s degree in Biology from the National Centre of Biological Science in Bangalore, where I spent four years in a Ph.D. program, advised by Mukund Thattai. During this period, I took math classes at the Indian Institute of Science, and also spent Fall 2009 at the Budapest Semesters in Mathematics. My undergraduate degree is in Life Sciences and Biochemistry, from St. Xavier’s College, Mumbai.

## Publications and Preprints

With Emily Clader, Chiara Damiolini, Daoji Huang and Shiyue Li: "Permutohedral complexes and rational curves with cyclic action." Preprint; available at https://arxiv.org/abs/2104.06526.

With Rob Silversmith: "Equations at infinity for critical-orbit-relation families of rational maps". Submitted, available at https://arxiv.org/abs/2008.10095. (Former title: "Quadratic rational maps with a five-periodic critical point".)

"Pullbacks of kappa classes on M_{0,n}-bar". Accepted for publication in Proceedings of the AMS, available at https://arxiv.org/abs/2006.14996.

With Rob Silversmith: "Two-dimensional cycle classes on M_{0,n}-bar". Submitted, available at https://arxiv.org/abs/2004.05491.

With Patrick Ingram and Joseph H. Silverman: "Post-critically finite maps on P^n for n≥2 are sparse". Submitted, available at https://arxiv.org/abs/1910.11290.

With Nguyen-Bac Dang: "Dynamical invariants of monomial correspondences". Ergodic Theory and Dynamical Systems 2020; available at arxiv.org/abs/1905.05026.

"Algebraic stability of meromorphic maps descended from Thurston's pullback map." Transactions of the AMS, 2020; available at Arxiv:1904.08000.

"Dynamical degrees of Hurwitz correspondences." Ergodic Theory and Dynamical Systems, 2019. Available at ArXiv:1602.02846.

"Hurwitz correspondences on compactifications of *M_{0,n}*." Advances in Mathematics, 2018. Available at ArXiv:1510.07277.

My Ph.D. thesis: "Dynamics on the moduli space of pointed rational curves".

With Mukund Thattai: “New Organelles by Gene Duplication in a Biophysical Model of Eukaryote Endomembrane Evolution.” Biophysical Journal, June 2013. Available here.

With Mukund Thattai: “Flipping DNA to generate and regulate microbial consortia.” Genetics, January 2010. Available here.

With Isabel Vogt: "How to organize a graduate workshop", Notices of the AMS, December 2019.

## Other projects in progress

With Xavier Buff and Sarah Koch: Thurston matrices, and punctures of special one-parameter families of rational maps.

With Sam Payne: A spectral gap phenomenon for Galois conjugates of certain dynamical degrees.

With Kevin Pilgrim: Thurston obstructions and the tropical moduli space correspondence.

## Teaching at the University of Warwick

Autumn 2021: MA4A5 (Algebraic Geometry)

## Teaching at Brown University

Spring 2020: Math 1530 (Abstract Algebra)

Fall 2019: Math 1580 (Cryptography) and Math 0540 (Honors Linear Algebra)

Spring 2019: Math 1010 (Analysis: Functions of One Variable)

Fall 2018: Math 1580 (Cryptography) and Math 0540 (Honors Linear Algebra)

I endorse Federico Ardila's axioms:

Axiom 1. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.

Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

Axiom 4. Every student deserves to be treated with dignity and respect.

## Workshops and conferences co-organized

Women In Algebraic Geometry at ICERM; July 2020

AMS Special Session on Algebraic Geometry in Dynamics; March 2021 (**POSTPONED FROM 2020 DUE TO COVID-19)**

AGNES at Brown; October 2018

Graduate workshop in Algebraic Geometry for Women and Mathematicians of Minority Genders; February 2018

I was one of the organizers of the Brown University Algebraic Geometry Seminar (Spring 2019-Spring 2020).

I recently began writing a recipe blog.