Diophantine Equations, Combinatorics, Analysis in Number Theory: Emerging Researchers

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Diophantine Equations, Combinatorics, Analysis in Number Theory: Emerging Researchers

 19 - 20 Jun 2025

ICMS, Bayes Centre, Edinburgh

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 Enquiries

Final details have been sent to all participants. Please check your junk/spam inbox before getting in touch. Thank you.

Scientific Organisers:

  • Kirsti Biggs, Uppsala University
  • Akshat Mudgal, University of Warwick
  • Javier Pliego, University of Genova

About:

This two-day workshop for Early Career Researchers will be an opportunity for young researchers at PhD and postdoctoral level working in the areas of number theory, additive combinatorics and harmonic analysis to present their work and to meet other early career researchers in these fields. The participants will be able to network with each other, build new collaborations and share experiences, while also being in a relatively informal setting. The event will consist of various research/survey talks along with some problem sessions. 

This workshop will be a satellite conference to the Diophantine Equations, Combinatorics, Analysis in Number Theory workshop to be held the following week at ICMS, 23 - 27 June 2025. It is anticipated that some participants will also attend this conference.

Participation is by invitation only; there is no online application or registration. Invited participants have been contacted by ICMS.

Resources

Programme:

THURSDAY 19 JUNE
09.00 - 09.20 Registration and refreshments
09.20 - 09.30 Welcome and housekeeping
09.30 - 10.20 Lasse Grimmelt, University of Oxford Averages of $\mathrm{SL}_2(\mathbb{R})$ Automorphic Kernel and arithmetic applications
10.25 - 11.15 Jonathan Chapman, University of Warwick Counting commuting integer matrices
11.15 - 11.40 Refreshments
11.40 - 12.30 Rajula Srivastava, University of Edinburgh Counting, Curvature and Convex Duality
12.30 - 14.00 Lunch
14.00 - 14.50 Nick Rome, TU Graz Towards a conjecture of Wooley
14.55 - 15.45 Mengdi Wang, École Polytechnique Fédérale de Lausanne On Szemerédi 's theorem in sparse sets of primes
15.45 - 16.15 Refreshments
16.15 - 16.40 Hrit Roy, University of Edinburgh An extension of the Bourgain--Demeter--Guth decoupling theorem
16.45 - 17.10 Philip Holdridge, University of Warwick Random Diophantine Equations with Prime Variables
17.10 - 18.00 Welcome reception
FRIDAY 20 JUNE
10.00 - 10.25 Firdavs Rakhmonov, University of St Andrews Lp averages of the Fourier transform in finite fields: orthogonal projections, incidence geometry, and the restriction problem
10.30 - 10.55 Kate Thomas, University of Oxford Sums of Niven numbers via the circle method
11.00 - 11.30 Refreshments
11.30 - 11.55 Fred Tyrell, University of Bristol Bounded Exponential Sums with Multiplicative Coefficients
12.00 - 12.25 Sophie Maclean, King's College London Energy increment methods in Szemerédi-type theorems
12.30 - 14.00 Lunch
14.00 - 14.25 James Cumberbatch, Purdue University Smooth Integers with Restricted Digits
14.30 - 14.55 Daniel Flores, Purdue University $K$-multimagic squares and magic squares of $k$th powers via the circle method
15.00 - 15.25 Rena Chu, Duke University Short character sums evaluated at homogeneous polynomials
15.30 - 16.00 Refreshments
16.00 - 16.25 Edna Jones, Tulane University On the local-global conjecture for 3-dimensional Kleinian sphere packings
16.30 - 16.55 Kiseok Yeon, University of California, Davis The global solubility for homogeneous polynomials with random coefficients over thin sets

Sponsors and Funders:

  • ICMS
  • Heilbronn
  • London