About me
My name is Constantinos Papachristoforou and I am a PhD student at the University of Sheffield, supervised by Robert Kurinczuk.
I am a member of the Sheffield number theory group. My research is on the intersection of number theory and representation theory.
I am interested in the local Langlands program and the (l-modular) representation theory of p-adic groups, with coefficients in a ring where p is invertible. I am also interested in relationships between automorphic representations and Galois representations. Currently, I am trying to understand how the category of smooth representations of p-adic groups decomposes into blocks in various settings. Here is a poster summarising some of my recent work. I also like asking questions about the representation theory of finite groups of Lie type.
Short Bio
I was born in Cyprus.
I was an undergraduate student at Durham University, where I wrote a dissertation project titled "The ubiquity of Bernoulli numbers". I completed my master's degree at Imperial College London. My thesis was on "Galois cohomology and local class field theory".
I enjoy playing the guitar and the piano. I am also into climbing!
Teaching
2024-2025
Autumn and Spring Semester - MAS152 Essential Mathematical Skills & Techniques.
Autumn and Spring Semester - MAS156 Mathematics (Electrical Engineering).
2023-2024
Spring Semester - MAS2004 Analysis and Algebra.
Autumn Semester - MAS003 Core Foundation Mathematics.
Autumn Semester - CIV109 Mathematics and Python Programming.
Member of the SoMaS teaching committee.
2022-2023
Summer - Supervised an undergraduate research project (UGRI) on algebraic number theory.
Spring Semester - MAS005 Foundation Core and Enhanced Mathematics.
Spring Semester - STEP classes for Y13 students.
I also teach mathematics on an online platform. Here is my profile.
Seminars and conferences attended
Arizona Winter School 2025 - University of Arizona, Tuscon, 8-12/03/2025.
Representations of p-adic groups - Oberwolfach, Germany, 1-6/12/2024.
Representations of p-adic Groups and the Langlands Correspondence, in honor of Colin Bushnell - King's College London, 2-4/09/2024.
Representation Theory and Related Geometry: Progress and Prospects - University of Georgia, Athens, GA, 27-31/05/2024.
36th Automorphic Forms Workshop - Stillwater, Oklahoma, 20-24/05/2024.
Representations of reductive p-adic groups, L-functions and relative matters: a conference in honour of Guy Henniart - Amiens (France), 11-14/08/2023.
Y-RANT - University of Cambridge, 6-8/08/2023.
9th Greek Algebra and Number Theory Conference - Aristotle University of Thessaloniki, 12-13/05/2023.
Northern NuTS - York University, 11/05/2023.
Number theory meets p-adic representations - University of Münster, 13-17/02/2023.
Introduction to SAGA - CIRM, 30/01/2023 - 03/02/2023.
Langlands Program: Number Theory and Representation Theory - Casa Matemática Oaxaca (BIRS), 27/11/2022 - 2/12/2022.
Sheffield Number Theory Day - University of Sheffield, 30/06/2022.
Seminars organised
Effectively teaching as a postgraduate tutor - University of Sheffield (25/05/2023).
Learning Seminar on Automorphic Representations - University of Sheffield (co-organising with Jason).
Talks
Block decompositions for p-adic groups - Warwick junior number theory seminar - University of Warwick (25/11/2024).
Representations of p-adic groups; decomposing categories - Representation Theory and Related Geometry: Progress and Prospects - University of Georgia, Athens (27-31/05/2024).
Representations of p-adic groups; decomposing categories - 36th Automorphic Forms Workshop - Stillwater, Oklahoma (20-24/05/2024).
Representation theory of p-adic groups - Y-RANT - University of Cambridge (6-8/08/2023).
The Langlands correspondence for GL_n - Automorphic representations seminar - University of Sheffield (Spring 2023) - NOTES.
Cohomology of profinite groups (2 talks) - Seminar on Galois Cohomology - University of Sheffield (Fall 2022) - my NOTES.
Contact
Email: cpapachristoforou1@sheffield.ac.uk
Office: K26, Hicks building.