My teaching

Teaching is fun. I am currently teaching

introduction to mathematics,
introduction to number theory, and
analytic number theory.

I have previously been teaching courses in linear algebra, functional analysis, complex analysis, elliptic curves, modular forms, and automorphic forms.

Become my PhD student or postdoc

I also enjoy supervising projects and mentoring students.

If you are looking for a PhD or postdoc position with me as your mentor, please apply to our next open call. If you are interested in number theory feel free to suggest me as your mentor in your application. Our bi-annual PhD calls have deadline April 1st, and November 15th. Our annual postdoc call has deadline November 15th. If you are interested in number thery feel free to suggest me as your mentor in your application.

Write a project with me

If you want to do a bachelor project or a masters project with me you should see below at which types of projects previous students have written with me. Then you should send me an email, and if I have bandwith we can set up a meeting. Unfortunately I do currently not have funding to sponsor internships.

Public outreach. I have given many lectures for non-mathematicians, mostly high-school students. See here for extra info

Postdocs

2023-2024 Keshaw Aggawal
2021-2022 Nils Matthes
2015-2017 Oscar Marmon
2015–2016 Niko Laaksonen
2014–2017 Piotr Maciak
2013-2016 Anders Södergren

PhD Students

2024 Alf Söderberg
2016-2020 Asbjørn Nordentoft: On arithmetic statistics and periods of automorphic forms
2013-2016 Giacomo Cherubini: Studies in the hyperbolic circle problem
2011-2014 Flemming von Essen: Automorphic forms – Multiplier Systems and Taylor Coefficients
2005-2009 Jimi Lee Truelsen: Distribution results in automorphic forms and analytic number theory

Masters Students

2024 Alexander Bretlauch Specht: An experimental investigation of the error term in the Gauss circle problem and related quantities
2023 Nikoline Hyllested Andersen: The ABC-conjecture and its applications
2023 Nicolas Arnvig: Hyperbolic lattice points. Cartan’s decomposition and equidistribution modulo 1
2022 Line Lindholm Jensen: The Lindelöf hypothesis for admissible sequences
2021 Jasmin Karina Øder Madsen: Vinogradov’s 3-prime theorem
2021 Lasse Nøhr Henriksen: The L-function of a Maass form
2021 Gustav Torp: Selberg’s central limit theorem for the Riemann zeta function
2019 Patrick Liljegren Dinesen: Taylor coefficients for Ramanujan’s Delta function
2018 Asbjørn Nordentoft: Statistics of twisted L-functions
2018 Mads Friis Frand-Madsen: Equidistribution of zeroes
2018 Kasper Müller: Sphere packings
2017 Jens Siegstad: The Selberg Trace Formula
2014 Camilla Frantzen: The Bombieri-Vinogradov theorem
2013 Christina Slaatorn: Vinogradov’s three primes theorem
2012 Bo Malling Christensen: The Lindelöf Conjecture

Bachelor Projects

2025 Lucas Oldrup Marsh
2025 Thais Ziegler Hansen
2025 Jeppe Skaunborg
2025 Rafei Malik: p-adiske tal
2024 Albert Jels Eilgaard: Modulære former og deres L-funktioner
2023 Oscar Breiø: Modular forms and their L-function
2023 Niklas Ellelund Hansen: p-adiske tal
2023 Sebastian Nørregaard: The prime number theorem and the functional equation for zeta
2023 Sofie Faxholm: AKS primtalstesten
2022 Laura Obel: Primes in arithmetic progressions
2022 Victoria Sarah Snow: The prime number theorem and Riemann’s zeta function
2022 Oliver Wix Schütt Wagner: Legemet af p-adiske tal
2022 Gunn Joensen: Primtalssætningen
2022 Stine Langhede: p-adiske tal
2022 Christian Thomas Kvist Jensen: Primtalssætningen
2022 Katrine Bille Laursen: Dirichlets klassetalsformel
2021 Nanna Wiberg Nielsen: Modular forms
2021 Bertram Koch-Larsen: Construction and study of p-adic numbers
2020 Nikoline Hyllested Andersen: Primes in arithmetic progression
2020 Mathias Kirkeby: The functional equation for Riemann’s zeta
2020 Esben Folke Ydesen: Modular forms and the partition function
2019 Frederik Weber Wellendorf: p-adic numbers
2019 Karoline Amalie Trond Reich: Gauss’ circle problem
2019 Line Lindholm Jensen: The prime number theorem
2019 Rasmus Goddiksen Graabæk: Modular forms
2018 Stine Valgreen: Sieve methods, and twin primes
2018 Rasmus Brammer: Primes in arithmetic progression
2018 Erik Lange: The prime number theorem
2018 Jasmin Madsen: p-adic numbers
2017 Helle Bertelsen: p-adic numbers
2016 Astrid Mortensen: The AKS algorithm
2016 Sebastian Tim Holdum: Weyls law and the Gauss’ circle problem
2015 Anders Aamand: The Bombieri-Vinogradov theorem
2015 Asbjørn Nordentoft: Primes close together
2015 Bjarke Østergård Nielsen: Dirichlets unit theorem
2015 Hector Hougaard: p-adic numbers and the Hasse-Minkovski Theorem
2014 Rikke Langhede: Higher order reciprocity
2014 Mathilde Kjær Pedersen: The AKS algorithm
2014 Kristoffer Holm Nielsen: Pell’s equation and Archimedes’ revenge
2013 Mathis Elmgaard Isaksen: Phragmén Lindelöf princippet
2013 Freja Elbro: Modular forms
2013 Nilin Abrahamsen: A central limit theorem for the free group
2011 Niels Andreas Hvitved: Billing-Mahlers sætning (Billing-Mahlers theorem)
2010 Peter Humphries: Elementary proof of the prime number theorem
2007 Diana Bertelsen: Primtalssætningen (The prime number theorem)
2006 Jesper Vejgaard Knudsen: Primtal i arithmetiske progressioner (Primes in arithmetic progressions)

Other projects

2022 Katrine Bille Laursen Pells ligning og kædebrøker
2021 Jasmin Øder Madsen: Zeroes of L-functions
2008 Rune Bak og Martin Damhus: Tate’s thesis

Public outreach

I have given several hundred lectures for high-school classes visiting the university of Copenhagen. Mostly on primes, where I discuss classical and modern results about prime numbers. You can book a lecture here
Several presentations on prime numbers for Science talents.
Several presentations at the danish youth association for science UNF on prime numbers, the Riemann zeta function and other topics.

My teaching#

Become my PhD student or postdoc#

Write a project with me#

Postdocs#

PhD Students#

Masters Students#

Bachelor Projects#

Other projects#

Public outreach#