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University of Essex homepage Events PDEsatEssex2025
Event

Regularity Theory of PDEs and Calculus of Variations

  • Mon 16 - Wed 18 Jun 25

    09:30

  • Colchester Campus

    NTC.2.07

  • Event type

    Conferences

  • Event organiser

    Mathematics, Statistics and Actuarial Science, School of

  • Contact details

    Murat Akman

PDEs @ Essex 2025

We are excited to bring together researchers in the fields of Regularity Theory of PDEs and Calculus of Variations for this three-day event.

The goal of this meeting is to encourage discussions that may lead to meaningful connections between diverse approaches to the study of PDEs. We hope this gathering will inspire new collaborations and build lasting connections among participants.

This workshop is organised by the Analysis and Mathematical Physics group within the School of Mathematics, Statistics, and Actuarial Science at the University of Essex.

Photo of the participants of the PDE workshop, in a line in front of projector screens.

Please complete the registration form if you plan to attend the workshop, scheduled for June 16–18, 2025, at the University of Essex (Colchester), UK.

Registration is free but required. Financial support is available on a first-come, first-served basis for PhD students and early career researchers. PhD students and early career researchers are also encouraged to apply for the opportunity to present a 25-minute short talk. The deadline for funding and short talk applications is 1 March 2025. This workshop is partially funded by the EPSRC (EP/W001586/1).

If you expect to incur any costs related to caring responsibilities (including but not limited to childcare or care for others) in order to attend the workshop, it may be possible to reimburse these up to a certain amount. Please contact Murat Akman (murat.akman@essex.ac.uk) as soon as possible.


Register now

A ring of orange circles within larger pale blue circles. A thin blue graph line extends from one orange circle into the centre of the ring.

 

Invited Speakers

  • Matthew Badger (University of Connecticut)
  • John Ball (Heriot-Watt University)
  • Simon Bortz (University of Alabama)
  • Martin Dindos (University of Edinburgh)
  • Federica Dragoni (Cardiff University)
  • Jennifer Duncan (The Institute of Mathematical Sciences, Spain)
  • Ana Emilia de Orellana (University of St Andrews)
  • Max Engelstein (University of Minnesota-Twin Cities)
  • Steve Hofmann (University of Missouri)
  • Simon Larson (University of Gothenburg)
  • Chema Martell (The Institute of Mathematical Sciences, Spain)
  • Vitaly Moroz (Swansea University) 
  • Roger Moser (University of Bath)
  • Vahideh Vahidifar (University of Sussex)

Short talks

Short talks will be delivered by:

  • Arnaud Dumont (University of Birmingham)
  • Cody Michael Hutcheson (University of Alabama)
  • Pablo Hidalgo-Palencia (The Institute of Mathematical Sciences, Spain)
  • Marcin Gryszówka (University of Warsaw)
  • Ariel Aguas-Barreno (University of Essex)

Schedule

You can view the schedule for each day below or download the PDF.

Monday 16 June 2025 - Room: NTC.2.07

Time Event Speaker
09:00 - 09:30 Registration  
09:30 - 10:30 Talk - Divergence free transition layers in the plane Roger Moser (University of Bath)
10:30 - 11:00 Coffee break  
11:00 - 12:00 Talk - Geometry of Nonlinear Diffusion: Gradient Estimates, Entropy Inequalities and Liouville Results on Smooth Metric Measure Spaces. Vahideh Vahidifar (University of Sussex)
12:00 - 12:25 Talk - The Brunn-Minkowski Inequality for p-Harmonic Measures Ariel Aguas-Barreno (University of Essex)
12:25 - 14:00 Lunch break  
14:00 - 15:00 Talk - On a Hardy-Morrey inequality Simon Larson (University of Gothenburg)
15:00 - 15:30  Coffee break  
15:30 - 16:30 Talk - The Robin Boundary Value Problem in Rough domains Max Engelstein (University of Minnesota-Twin Cities)
16:30 - 17:30 Talk - Nodal Domains of Homogeneous Caloric Polynomials Matthew Badger (University of Connecticut)

Tuesday 17 June 2025 - Room: NTC.2.07

Time Event Speaker
09:30 - 10:30 Talk - Localised multilinear restriction estimates and the helical maximal function Jennifer Duncan (The Institute of Mathematical Sciences, Spain)
10:30 - 11:00 Coffee break  
11:00 - 12:00 Talk - Fourier restriction and fractal dimensions Ana Emilia de Orellana (University of St Andrews)
12:00 - 12:25 Talk - The Hölder Solvability of the Parabolic Continuous Dirichlet Problem in Rough Sets Cody Michael Hutcheson (University of Alabama)
12:25 - 14:00 Lunch break  
14:00 - 15:00 Talk - A relationship between the Dirichlet and Regularity problems for parabolic equations. Martin Dindos (University of Edinburgh)
15:00 - 15:30 Coffee break  
15:30 - 16:30 Talk - Solvability of the Dirichlet Problem for Elliptic Operators Chema Martell (The Institute of Mathematical Sciences, Spain)
16:30 - 17:30 Talk - The Dirichlet problem for elliptic equations with a singular drift term Steve Hofmann (University of Missouri)

A workshop dinner will be held at Wivenhoe House Hotel at 19:00.

Wednesday 18 June 2025 - Room: NTC.2.07

Time Event Speaker
09:30 - 10:30 Talk - Semiconcavity of the square distance in Carnot groups Federica Dragoni (Cardiff University)
10:30 - 11:00 Coffee break  
11:00 - 12:00 Talk - Highly irregular microstructures and $T_N$ configurations John Ball (Heriot-Watt University)
12:00 - 12:25 Talk - Boundary value problems for singular Schrödinger-type equations with block structure Arnaud Dumont (University of Birmingham)
12:25 - 14:00 Lunch break  
14:00 - 15:00 Talk - Green Function Estimates, UR and Elliptic/Parabolic Measure Simon Bortz (University of Alabama)
15:00 - 15:25 Talk - Parabolic Dirichlet problem with Lp data and variable coefficients Pablo Hidalgo-Palencia (The Institute of Mathematical Sciences, Spain)
15:25 - 15:50 Talk - $\varepsilon$-Approximability and Quantitative Fatou Property for a class of non-harmonic functions Marcin Gryszówka (University of Warsaw)
15:50 - 16:00 Closing remarks  

Accommodation and travel

Accommodation

If your accommodation will be covered by us, we will contact you and provide further details. Otherwise, the following hotels are a good option. Those who have their own funding are very welcome to attend our workshop but they should arrange their own travel and accommodation.

These hotels are in Colchester and it would take about 40 to 50 minutes to walk to the campus. There are direct buses from Colchester to the campus or you can take a taxi which would cost around £12 depending on the location.

Directions

  • By train: Greater Anglia provides frequent trains from London Liverpool Street to Colchester (also known as Colchester North). The train journey from Liverpool Street takes just under an hour and you can get a bus or taxi from the station to the campus.
  • By driving: The postcode is CO4 3SQ, however when you arrive in Colchester, follow road signs to the University (off the A133) to access to main visitor car parks, which is via the B1028, Colchester Road.
  • By flying: The closest airport is Stansted Airport. The quickest way to travel is by National Express using the 250 service which runs directly to and from our campus. Alternatively, there is a local bus x133 to Colchester town centre, but this can take longer and you will need to get a bus or taxi from the town to campus.

This information is taken from the university webpage where you can find more information about parking, directions, and accessibility on campus: https://www.essex.ac.uk/visit-us/plan-your-visit/travel-to-colchester

Google Maps: Here are a few places of interest on the Google Maps: https://maps.app.goo.gl/UNBZXjbLn1PbvNMu9

Taxi companies in Colchester:

  • Five sevens taxi (01206 577777)
  • Panther Cabs (01206 525525)

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