Northern NuTS
 Northern NuTS
 Northern NuTS
 Northern NuTS

The Northern Number Theory Seminar is a joint research seminar in number theory. It links the number theory research groups of Durham, Manchester, Nottingham, Sheffield and York.

We expect to meet twice per year. The seminar is funded by the LMS Grant Scheme 3.

The local organisers are:


The first meeting will be held in Sheffield on Wednesday, February 20, 2019.


All talks will be in room J11 on the J-floor of the Hicks building. See below for a description of how to get there.

People who arrive earlier could hang out in the common room I15 on the I-floor (in the middle of the corridor, on your left) with Haluk and Farrell welcoming you. Or you could visit other NT group members. The offices of the Number Theory groups members are all on the J-floor.

Title and abstracts

Farrell Brumley: Concentration properties of theta lifts

I will present some results on the concentration properties of automorphic forms obtained through the theta correspondence. Among other things, the method relies on a distinction principle for these lifts, which detect their functorial origin via the non vanishing of orthogonal periods. The examples we treat are in higher rank, and shed light on a purity conjecture of Sarnak. This is joint work with Simon Marshall.

Andreea Mocanu: Newform theory for Jacobi forms of lattice index

I will give a brief introduction to Jacobi forms, including some examples and their relation to other types of modular forms. After that, I will discuss some of the ingredients that go into developing a theory of newforms for Jacobi forms of lattice index, namely Hecke operators, level raising operators and orthogonal groups of discriminant modules.

Clark Barwick: Primes, knots, and exodromy

Half a century ago, Barry Mazur and David Mumford suggested a remarkable dictionary between prime numbers and knots. I will explain how the story of exodromy permits one to make this dictionary precise, and I will describe some applications.


Here a list of how to get to the meetings.


There are trams leaving from Nottingham train station (go upstairs) every 7 minutes. You want a tram in the direction of Toton Lane; get off at the University of Nottingham stop. You need to buy a ticket from the machine before you get on the tram. The trip takes about 15 minutes.
The Maths building is number 20 on the campus map. Talks are usually held in the Physics building, opposite the Maths building, number 22 on the map. The tram stop is the green circle on the map near the South Entrance. A nice place for lunch is the Lakeside Arts cafe (number 49 on the map, near the lake and tram stop).


The School of Mathematics and Statistics is in the Hicks Building which is building 121 on this map You can also look at this map from the train station, but be aware that the walking route to the Hicks building is not obvious.
If you are arriving by train, the easiest way to get to the Hicks Building is by taking the tram. There is a tram stop right behind the train station. You need to take the Blue Line Tram in the direction of "Malin Bridge". A ticket costs £1.70 - you pay the conductor on the tram. It takes about 10 minutes to get to the "University of Sheffield" tram stop where you should get off. Cross over the road at the traffic lights at the front of the tram (not to be confused with crossing over the tram lines) and go UP the Leavygreave Rd. The entrance to the Hicks Building (a very tall building) will be in front of you.


If you have a UK bank account you can get reimbursements for travel by using this form. Otherwise ask me.

Then send the form and receipts (try to avoid having the machine swallow your train tickets when you exit the station, please) to

Christian Wuthrich
School of Mathematical Sciences
University of Nottingham
Nottingham NG7 2RD

The seminar is committed to making sure all parents working in mathematics should be able to attend our meetings without being hindered by childcare costs. The LMS has a Childcare Supplementary Grant Scheme that can be cover extra costs caused by attending the meeting. Further information about this scheme can be found on this LMS website. Some of the host Universities, like Nottingham University, also have their own scheme to help. Please ask any of the organisers.