diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
new file mode 100644
index 0000000..d6e8be9
--- /dev/null
+++ b/.github/workflows/test.yml
@@ -0,0 +1,97 @@
+name: Tests
+
+on:
+  push:
+    branches: [ master ]
+  pull_request:
+    branches: [ master ]
+
+jobs:
+  test:
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          - os: macos-latest
+            target: x86_64-apple-darwin
+            toolchain: stable
+            # TODO: also aarch64 / M1
+          - os: windows-latest
+            target: x86_64-pc-windows-gnu
+            toolchain: stable
+          - os: windows-latest
+            target: x86_64-pc-windows-msvc
+            toolchain: beta
+            # Test both windows-gnu and windows-msvc; use beta rust on one
+          - os: ubuntu-latest
+            target: x86_64-unknown-linux-gnu
+            toolchain: 1.36.0 # MSRV
+          - os: ubuntu-latest
+            deps: sudo apt-get update ; sudo apt install gcc-multilib
+            target: i686-unknown-linux-gnu
+            toolchain: nightly
+          - os: ubuntu-latest
+            target: x86_64-unknown-linux-gnu
+            toolchain: nightly
+            variant: minimal_versions
+
+    steps:
+      - uses: actions/checkout@v2
+      - name: Install toolchain
+        uses: actions-rs/toolchain@v1
+        with:
+          profile: minimal
+          target: ${{ matrix.target }}
+          toolchain: ${{ matrix.toolchain }}
+          override: true
+      - run: ${{ matrix.deps }}
+      - name: Maybe minimal versions
+        if: ${{ matrix.variant == 'minimal_versions' }}
+        run: cargo generate-lockfile -Z minimal-versions
+      - name: Test nightly
+        if: ${{ matrix.toolchain == 'nightly' }}
+        run: cargo test --target ${{ matrix.target }} --benches
+      - name: Test
+        run: cargo test
+
+  test-cross:
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          - os: ubuntu-latest
+            target: mips-unknown-linux-gnu
+            toolchain: stable
+
+    steps:
+      - uses: actions/checkout@v2
+      - name: Install toolchain
+        uses: actions-rs/toolchain@v1
+        with:
+          profile: minimal
+          target: ${{ matrix.target }}
+          toolchain: ${{ matrix.toolchain }}
+          override: true
+      - name: Cache cargo plugins
+        uses: actions/cache@v1
+        with:
+          path: ~/.cargo/bin/
+          key: ${{ runner.os }}-cargo-plugins
+      - name: Install cross
+        run: cargo install cross || true
+      - name: Test
+        run: cross test --no-fail-fast --target ${{ matrix.target }}
+
+  test-miri:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v2
+      - name: Install toolchain
+        run: |
+          MIRI_NIGHTLY=nightly-$(curl -s https://rust-lang.github.io/rustup-components-history/x86_64-unknown-linux-gnu/miri)
+          rustup default "$MIRI_NIGHTLY"
+          rustup component add miri
+      - name: Test
+        run: cargo miri test
diff --git a/.travis.yml b/.travis.yml
deleted file mode 100644
index e5c2925..0000000
--- a/.travis.yml
+++ /dev/null
@@ -1,73 +0,0 @@
-language: rust
-sudo: false
-os: linux
-
-matrix:
-  include:
-    - rust: 1.32.0
-      name: "Linux, 1.32.0"
-      script:
-        - cargo test
-
-    - rust: stable
-      name: "Linux, stable"
-
-    - rust: beta
-      name: "Linux, beta"
-
-    - rust: nightly
-      name: "Linux, nightly, 64-bit"
-      script:
-        - cargo test --benches --examples
-
-    - rust: nightly
-      name: "Linux, nightly, 32-bit"
-      env: TARGET=i686-unknown-linux-musl
-      install:
-        - rustup target add $TARGET
-      script:
-        - cargo test --target $TARGET --benches --examples
-
-    # This target catches endianness issues
-    - rust: stable
-      sudo: required
-      dist: trusty
-      services: docker
-      name: "Linux (MIPS, big-endian)"
-      env: TARGET=mips-unknown-linux-gnu
-      install:
-        - sh ci/install.sh
-        - source ~/.cargo/env || true
-      script:
-        - cross test --target $TARGET
-
-    # This target checks we really can build no_std binaries
-    - rust: nightly
-      name: "no_std platform test"
-      install:
-        - rustup target add thumbv6m-none-eabi
-      script:
-        # Test the top-level crate with all features:
-        - cargo build --target=thumbv6m-none-eabi
-
-    - rust: nightly
-      name: "Miri, nightly"
-      script:
-        - sh ci/miri.sh
-
-    - rust: nightly
-      name: "Linux, minimal versions"
-      script:
-        - cargo generate-lockfile -Z minimal-versions
-        - cargo test --benches --examples
-
-before_install:
-  - set -e
-
-script:
-  - cargo test
-
-after_script: set +e
-
-notifications:
-  email: false
diff --git a/ci/install.sh b/ci/install.sh
deleted file mode 100644
index 8e636e1..0000000
--- a/ci/install.sh
+++ /dev/null
@@ -1,49 +0,0 @@
-# From https://github.com/japaric/trust
-
-set -ex
-
-main() {
-    local target=
-    if [ $TRAVIS_OS_NAME = linux ]; then
-        target=x86_64-unknown-linux-musl
-        sort=sort
-    else
-        target=x86_64-apple-darwin
-        sort=gsort  # for `sort --sort-version`, from brew's coreutils.
-    fi
-
-    # Builds for iOS are done on OSX, but require the specific target to be
-    # installed.
-    case $TARGET in
-        aarch64-apple-ios)
-            rustup target install aarch64-apple-ios
-            ;;
-        armv7-apple-ios)
-            rustup target install armv7-apple-ios
-            ;;
-        armv7s-apple-ios)
-            rustup target install armv7s-apple-ios
-            ;;
-        i386-apple-ios)
-            rustup target install i386-apple-ios
-            ;;
-        x86_64-apple-ios)
-            rustup target install x86_64-apple-ios
-            ;;
-    esac
-
-    # This fetches latest stable release
-    local tag=$(git ls-remote --tags --refs --exit-code https://github.com/japaric/cross \
-                       | cut -d/ -f3 \
-                       | grep -E '^v[0.1.0-9.]+$' \
-                       | $sort --version-sort \
-                       | tail -n1)
-    curl -LSfs https://japaric.github.io/trust/install.sh | \
-        sh -s -- \
-           --force \
-           --git japaric/cross \
-           --tag $tag \
-           --target $target
-}
-
-main
diff --git a/ci/miri.sh b/ci/miri.sh
deleted file mode 100644
index 8873a2c..0000000
--- a/ci/miri.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-set -ex
-
-MIRI_NIGHTLY=nightly-$(curl -s https://rust-lang.github.io/rustup-components-history/x86_64-unknown-linux-gnu/miri)
-echo "Installing latest nightly with Miri: $MIRI_NIGHTLY"
-rustup default "$MIRI_NIGHTLY"
-
-rustup component add miri
-cargo miri setup
-
-cargo miri test