## Radhika Gupta

### Department of Mathematics

### Temple University

### Wachman Hall, 1805 North Broad Street

### Philadelphia, PA 19122

### USA

I am a postdoctoral fellow at Temple University, hosted by Sam Taylor. Previously I was a postdoc at University of Bristol, hosted by Mark Hagen and at the Technion, hosted by Michah Sageev. I received PhD from University of Utah under the supervision of Mladen Bestvina. Before that, I completed undergraduate studies from IIT Bombay. My research is in geometric group theory. I am interested in outer automorphisms of free groups, mapping class groups and CAT(0) groups and cube complexes.

## Research

7. Planar lattice subsets with minimal vertex boundary. With Ivan Levcovitz, Alex Margolis and Emily Stark. (arXiv). 2020

6. Groups acting on CAT(0) cube complexes with uniform exponential growth. With Kasia Jankiewicz and Thomas Ng. (arXiv). 2020

5. Cannon-Thurston maps for CAT(0) groups with isolated flats. With Benjamin Beeker, Mathew Cordes, Giles Gardam and Emily Stark. (arXiv). 2018

4. Homotopy type of the complex of free factors of a free group. With Benjamin Bruck. [(article), (arXiv)]*.* *Proceedings of London Mathematical Society 2020*

3. Loxodromic for the cyclic splitting complex and their centralizers. With Derrick Wigglesworth. [(article), (arXiv)] *Pacific Journal of Math 2019*

2. Loxodromic Elements in the relative free factor complex. *Geometriae Dedicata*. [(article), (arXiv)] 2018

1. Relative Currents. *Conformal Geometry and Dynamics*. [(article), (arXiv)] 2018

0. PhD thesis - Relative currents and loxodromic elements in the relative free factor complex.

## Teaching

**Current**

MATH 8062 Differential Geometry and Topology II- TR 0930-1050 Course Webpage

MATH 1041.016 Calculus I - TR 1530 - 1710 Course Webpage (CANVAS)

**Past**

I taught the following courses at the University of Utah. The course material can be found here.

MATH 2270, Linear Algebra, Summer 2016

MATH 2210, Calculus III, Fall 2015, Fall 2014, Spring 2014

MATH 1210, Calculus I, Fall 2013

MATH 1100, Business Calculus, Spring 2013

MATH 1060, Trigonometry, Fall 2012

MATH 1030, Introduction to Quantitative Analysis, Spring 2012

MATH 1090, Business Algebra, Fall 2011, Summer 2013

## Miscellaneous

My art blog Rock, Paper, Scissors.

Some posters I made for math conferences. Ventotene 2017, Nahsholim, Technion Grad School

As an undergraduate, I worked with Professor Laurent Bartholdi, at Georg-August University of Gottingen for a summer. Under his guidance I developed some animations explaining what is a torus using POV-ray. Torus movies

In collaboration with Klaus-Peter Brenner and Laurent Bartholdi, I developed computed animated visualization of rotational symmetric structure of the Shona music of Zimbawe. Webpage

Thierry Coulbois's train track software on Sage. Github