Josh Males

About Image


In October 2017 I joined Prof. Dr. Kathrin Bringmann's group at the University of Cologne, Germany. Prior to this I completed my masters at Durham University, UK under the supervision of Dr. Jens Funke .

I am interested in all areas of analytic and algebraic number theory, but my work currently focuses on quantum modular forms (of higher depth) and their properties.

Please note that this site is a work in progress. In particular the smooth scroll is having issues with Chrome, which I will try to fix soon

Publications & Notes

Below is a collection of papers, along with some of my own brief notes that are not intended to be published

  • A short note computing higher Mordell integrals associated to higher depth quantum modular forms (2018) - pdf here
  • A family of vector-valued quantum modular forms of depth two (2018) - submitted, preprint available here
  • Masters Thesis - Topics in Modular Forms (2016) - pdf here

Teaching and Supervising


In the winter semester of 2018 I will be co-organising the undergraduate seminar on Theta Functions. The website with further information may be found here.

In the summer semester of 2019 I will be helping to teach Algebraic Number Theory with Dr. Stephan Ehlen.


Below is a list of students who I co-supervise(d) with Prof. Bringmann.

Master Students
  • Robin Sauer, 'Modular Forms Associated to Real Quadratic Fields', 2018-
Bachelor Students
  • Carsten Mitzkus, 'Fourier Coefficients of a Certain Eta-Quotient', 2017-18

My office hours are on Tuesdays 10-11.30am, Thursdays 2-4pm, or by arrangement. Please email me at if you need a different time.



Mathematical Institute

University of Cologne

Gyrhofstr. 8b

50931 Cologne