diff --git a/.github/workflows/links.yml b/.github/workflows/links.yml
deleted file mode 100644
index 7fc6b6f..0000000
--- a/.github/workflows/links.yml
+++ /dev/null
@@ -1,49 +0,0 @@
-name: Check URLs with Lychee
-
-on:
-  push:
-    branches:
-      - main
-  pull_request:
-  schedule:
-    - cron: "0 3 * * *"
-
-jobs:
-  Check-URLs:
-    runs-on: ubuntu-latest
-    steps:
-
-      - name: Restore Lychee cache
-        uses: actions/cache@v4
-        with:
-          path: .lycheecache
-          key: cache-lychee-${{ github.sha }}
-          restore-keys: cache-lychee-
-
-      - uses: actions/checkout@v4
-
-      - name: Link checker
-        id: lychee
-        uses: lycheeverse/lychee-action@2b973e86fc7b1f6b36a93795fe2c9c6ae1118621
-        with:
-          # Same as those in the PyBaMM repository
-          args: |
-            --cache
-            --max-cache-age 3d .
-            --verbose
-            --no-progress
-            --timeout 10
-            --max-retries 5
-            --skip-missing
-            --exclude-loopback
-            --exclude https://twitter.com/*
-            --exclude "https://doi\.org|www.sciencedirect\.com/*"
-            --exclude https://plausible.io/pybamm.org
-            --accept 200,429,999
-          format: markdown
-          jobSummary: true
-          fail: true
-        env:
-          GITHUB_TOKEN: ${{secrets.GITHUB_TOKEN}}
-
-      # TBD: automatically open an issue if any links fail
diff --git a/.gitignore b/.gitignore
index e858068..7d4281c 100644
--- a/.gitignore
+++ b/.gitignore
@@ -23,3 +23,6 @@ __pycache__/
 
 # env Folder
 env/
+
+# Lychee pre-commit hook
+.lycheecache
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index f0d7b68..a9bc3b5 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -7,29 +7,64 @@ ci:
 
 # Standard hooks
 repos:
--   repo: https://github.com/pre-commit/pre-commit-hooks
+  - repo: https://github.com/pre-commit/pre-commit-hooks
     rev: v4.6.0
     hooks:
-    -   id: trailing-whitespace
-    -   id: end-of-file-fixer
-    -   id: check-yaml
-    -   id: check-added-large-files
-    -   id: mixed-line-ending
+      - id: trailing-whitespace
+      - id: end-of-file-fixer
+      - id: check-yaml
+      - id: check-added-large-files
+      - id: mixed-line-ending
 
+  # Lychee: check links
+  - repo: https://github.com/lycheeverse/lychee.git
+    rev: v0.15.1
+    hooks:
+      - id: lychee
+        entry: lychee
+        pass_filenames: false
+        args:
+          - .
+          - --verbose
+          - --no-progress
+          - --timeout
+          - "10"
+          - --max-retries
+          - "5"
+          - --skip-missing
+          - --exclude-loopback
+          - --exclude
+          - https://twitter.com/*
+          - --exclude
+          - https://doi\.org|www.sciencedirect\.com/*
+          - --exclude
+          - https://plausible.io/pybamm.org
+          # Exclude the theme submodule and the built files. The latter are
+          # generated from the build and we don't bother with them because
+          # their links are either not relevant or are already checked.
+          - --exclude-path
+          - themes/
+          - --exclude-path
+          - static/
+          - --exclude-path
+          - public/
+          - --exclude-path
+          - resources/
+          - --accept
+          - 200,429,999
 
-# Python files
--   repo: https://github.com/astral-sh/ruff-pre-commit
+  # Python files
+  - repo: https://github.com/astral-sh/ruff-pre-commit
     rev: v0.6.4
     hooks:
-    -   id: ruff
+      - id: ruff
         args: ["--fix", "--show-fixes"]
 
-
-# Spelling errors and typos
--   repo: https://github.com/codespell-project/codespell
+  # Spelling errors and typos
+  - repo: https://github.com/codespell-project/codespell
     rev: v2.3.0
     hooks:
-    -   id: codespell
+      - id: codespell
         exclude: content/gsoc/2024/ankit-meda.md
         args:
           - "-Lrecuse,Meda"
diff --git a/README.md b/README.md
index d3affca..7c5daf8 100644
--- a/README.md
+++ b/README.md
@@ -1,7 +1,6 @@
 # pybamm.org
 
 [![Netlify](https://api.netlify.com/api/v1/badges/c4c60d47-1de1-4d0a-8a25-726d3cf100c8/deploy-status)](https://app.netlify.com/sites/pybamm-developer-preview/deploys)
-[![Links](https://github.com/pybamm-team/pybamm.org/actions/workflows/links.yml/badge.svg)](https://github.com/pybamm-team/pybamm.org/actions/workflows/links.yml)
 [![pre-commit.ci](https://results.pre-commit.ci/badge/github/pybamm-team/pybamm.org/main.svg)](https://results.pre-commit.ci/latest/github/pybamm-team/pybamm.org/main)
 [![Gitpod](https://img.shields.io/badge/open%20in-Gitpod-blue?logo=gitpod)](https://gitpod.io/#https://github.com/pybamm-team/pybamm.org/)