diff --git a/.github/workflows/docs.yaml b/.github/workflows/docs.yaml
new file mode 100644
index 00000000..90f82fe5
--- /dev/null
+++ b/.github/workflows/docs.yaml
@@ -0,0 +1,59 @@
+name: docs deployment
+on:
+  push:
+    branches:
+      - master
+
+concurrency:
+  group: "${{ github.ref }}-${{ github.head_ref }}"
+  cancel-in-progress: true
+
+defaults:
+  run:
+    shell: bash -l {0}
+
+jobs:
+  docs:
+    if: "github.repository == 'MDAnalysis/pmda'"
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: setup_miniconda
+      uses: conda-incubator/setup-miniconda@v2
+      with:
+        python-version: 3.7
+        auto-update-conda: true
+        channel-priority: flexible
+        channels: conda-forge
+        add-pip-as-python-dependency: true
+        mamba-version: "*"
+
+    - name: install package deps
+      run: |
+        mamba install 'mdanalysis<2' dask distributed sphinx
+        pip install sphinx-sitemap sphinx-rtd-theme
+
+    - name: check install
+      run: |
+        which python
+        which pip
+        conda info
+        conda list
+
+    - name: install package
+      run: |
+        pip install -v .
+
+    - name: build docs
+      run: |
+        python setup.py build_sphinx
+
+    - name: deploy docs
+      uses: peaceiris/actions-gh-pages@v3
+      with:
+        github_token: ${{ secrets.GITHUB_TOKEN }}
+        publish_dir: ./build/sphinx/html
+        user_name: 'github-actions'
+        user_email: 'github-action@users.noreply.github.com'
diff --git a/.github/workflows/gh-ci.yaml b/.github/workflows/gh-ci.yaml
new file mode 100644
index 00000000..e4bbb7aa
--- /dev/null
+++ b/.github/workflows/gh-ci.yaml
@@ -0,0 +1,152 @@
+name: GH Actions CI
+on:
+  push:
+    branches:
+      - develop
+      - master
+  pull_request:
+    branches:
+      - develop
+      - master
+
+concurrency:
+  # Probably overly cautious group naming.
+  # Commits to develop/master will cancel each other, but PRs will only cancel
+  # commits within the same PR
+  group: "${{ github.ref }}-${{ github.head_ref }}"
+  cancel-in-progress: true
+
+defaults:
+  run:
+    shell: bash -l {0}
+
+jobs:
+  unittests:
+    if: "github.repository == 'MDAnalysis/pmda'"
+    runs-on: ${{ matrix.os }}
+    strategy:
+        fail-fast: false
+        matrix:
+          os: [ubuntu-latest, ]
+          python-version: [2.7, 3.7, 3.8]
+          include:
+            - name: macOS_bigsur_py39
+              os: macOS-11
+              python-version: 3.8
+            - name: macOS_catalina_py37
+              os: macOS-10.15
+              python-version: 3.7
+    env:
+      CYTHON_TRACE_NOGIL: 1
+      MPLBACKEND: agg
+      GH_OS: ${{ matrix.os }}
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: setup_miniconda
+      uses: conda-incubator/setup-miniconda@v2
+      with:
+        python-version: ${{ matrix.python-version }}
+        auto-update-conda: true
+        channel-priority: flexible
+        # The order of these channel matters: both provide "fundamental"
+        # software (curl, ssh, ...), but the version in biobuilds are very
+        # outdated. This can lead to problem when loading shared libraries,
+        # see https://github.com/MDAnalysis/mdanalysis/pull/3126#issuecomment-813112080
+        channels: conda-forge, biobuilds
+        add-pip-as-python-dependency: true
+        mamba-version: "*"
+        architecture: x64
+
+    - name: install_deps
+      run: |
+        mamba install 'mdanalysis>=1.1.1,<2' 'mdanalysistests>=1.1.1,<2' dask distributed joblib mock codecov
+        pip install 'coverage<5' 'pytest-cov==2.10.1' pytest-xdist
+
+    - name: check_setup
+      run: |
+        # Check OS and python setup
+        echo "OS: ${OS_NAME}"
+        which python
+        which pip
+        pip list
+        conda info
+        conda list
+
+    - name: install PMDA package
+      run: python -m pip install -v .
+
+    - name: run tests
+      run: |
+         pytest -v --cov=pmda --cov-report=xml --color=yes ./pmda/test
+
+    - name: codecov
+      uses: codecov/codecov-action@v2
+      with:
+        file: coverage.xml
+        fail_ci_if_error: True
+        verbose: True
+
+  pylint_check:
+    if: "github.repository == 'MDAnalysis/pmda'"
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: setup_miniconda
+      uses: conda-incubator/setup-miniconda@v2
+      with:
+        python-version: 3.7
+        auto-update-conda: true
+        channel-priority: flexible
+        channels: conda-forge
+        add-pip-as-python-dependency: true
+        architecture: x64
+
+    - name: install
+      run: |
+        which pip
+        which python
+        pip install pylint
+
+    - name: pylint
+      env:
+        PYLINTRC: .pylintrc
+      run: |
+        pylint pmda
+
+
+  pypi_check:
+    if: "github.repository == 'MDAnalysis/pmda'"
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: setup_miniconda
+      uses: conda-incubator/setup-miniconda@v2
+      with:
+        python-version: 3.7
+        auto-update-conda: true
+        channel-priority: flexible
+        channels: conda-forge
+        add-pip-as-python-dependency: true
+        # mamba not enabled as install longer than deps install
+        architecture: x64
+
+    - name: install_conda
+      run: |
+        conda install setuptools twine
+
+    - name: install PMDA
+      run: |
+        python setup.py sdist
+
+    - name: check package build
+      run: |
+        DISTRIBUTION=$(ls -t1 dist/pmda-*.tar.gz | head -n 1)
+        test -n "${DISTRIBUTION}" || { echo "no distribution dist/pmda-*.tar.gz found"; exit 1; }
+        echo "twine check $DISTRIBUTION"
+        twine check $DISTRIBUTION
diff --git a/.travis.yml b/.travis.yml
deleted file mode 100644
index 768474f4..00000000
--- a/.travis.yml
+++ /dev/null
@@ -1,76 +0,0 @@
-language: generic
-sudo: false
-
-# Only build for develop and master (and PRs)
-branches:
-  only:
-    - master
-
-os:
-  linux
-
-env:
-  global:
-    - secure: "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"    
-    # Set default python version to avoid repetition later
-    - PYTHON_VERSION=3.7
-    - MAIN_CMD="pytest"
-    - SETUP_CMD="pmda --cov pmda"
-    # mdanalysis develop from source (see below), which needs
-    # minimal CONDA_MDANALYSIS_DEPENDENCIES
-    #- CONDA_DEPENDENCIES="mdanalysis mdanalysistests dask joblib mock codecov cython hypothesis sphinx"
-    #- CONDA_MDANALYSIS_DEPENDENCIES="cython mmtf-python six biopython networkx scipy griddataformats gsd hypothesis"
-    - CONDA_MDANALYSIS_DEPENDENCIES="mdanalysis mdanalysistests"
-    # pin to matplotlib 3.2 should be removed once mda > 1.0.0 is available.
-    - CONDA_DEPENDENCIES="${CONDA_MDANALYSIS_DEPENDENCIES} dask distributed joblib mock codecov matplotlib=3.2"
-    - CONDA_CHANNELS='conda-forge'
-    - CONDA_CHANNEL_PRIORITY=True
-    # install development version of MDAnalysis (needed until the test
-    # files for analysis.rdf are available in release 0.19.0)
-    #- PIP_DEPENDENCIES="git+https://github.com/MDAnalysis/mdanalysis#egg=mdanalysis&subdirectory=package git+https://github.com/MDAnalysis/mdanalysis#egg=mdanalysistests&subdirectory=testsuite"
-    - NUMPY_VERSION=stable
-    - BUILD_CMD='python setup.py develop'
-    - CODECOV=false
-    # for automatic doc building & deployment
-    - BUILD_DOCS=false
-    - GH_DOC_BRANCH: master
-    - GH_REPOSITORY: github.com/MDAnalysis/pmda.git
-    - GIT_CI_USER: TravisCI
-    - GIT_CI_EMAIL: TravisCI@mdanalysis.org
-    - MDA_DOCDIR: ${TRAVIS_BUILD_DIR}/build/sphinx/html
-
-
-  matrix:
-    - PYTHON=3.8 CODECOV=true
-    - PYTHON=3.7 CODECOV=true
-    - PYTHON=3.6 CODECOV=true
-    - PYTHON=2.7 CODECOV=true
-    - NAME='lint' MAIN_CMD='pylint pmda' BUILD_CMD='' SETUP_CMD=''
-
-matrix:
-  fast_finish: true
-  include:
-    - env: NAME="Doc"
-           MAIN_CMD="python setup.py"
-           SETUP_CMD="build_sphinx"
-           BUILD_DOCS=true
-           PIP_DEPENDENCIES="${PIP_DEPENDENCIES} sphinx-sitemap sphinx-rtd-theme"
-
-install:
-  - git clone --depth 1 git://github.com/astropy/ci-helpers.git
-  - source ci-helpers/travis/setup_conda.sh
-  - echo $BUILD_CMD
-  - $BUILD_CMD
-
-script:
-  - echo $MAIN_CMD $SETUP_CMD
-  - eval $MAIN_CMD $SETUP_CMD
-
-after_success:
-  - |
-    if [[ $CODECOV == 'true' ]]; then \
-      codecov; \
-    fi
-  - if [[ ${TRAVIS_PULL_REQUEST} == "false" ]] && [[ ${BUILD_DOCS} == "true" ]] && [[ ${TRAVIS_BRANCH} == ${GH_DOC_BRANCH} ]]; then
-            bash ${TRAVIS_BUILD_DIR}/ci/deploy_docs.sh;
-    fi
diff --git a/CHANGELOG b/CHANGELOG
index 58b1ab97..77937fca 100644
--- a/CHANGELOG
+++ b/CHANGELOG
@@ -33,7 +33,7 @@ Fixes
   * raise ValueError when n_blocks > n_frames (Issue #137, PR #138)
 
 Changes
-  * requires MDAnalysis >= 1.0.0 (#122)
+  * requires MDAnalysis >= 1.0.0 and <2.0.0 (#122)
   * dropped official support for Python 3.5 (2.7 and >= 3.6 are supported)
 
 
diff --git a/ci/deploy_docs.sh b/ci/deploy_docs.sh
deleted file mode 100755
index 7160349f..00000000
--- a/ci/deploy_docs.sh
+++ /dev/null
@@ -1,55 +0,0 @@
-#!/bin/bash
-# Deploying docs from travis-ci.
-# See https://github.com/MDAnalysis/mdanalysis/issues/386
-# Script based on https://github.com/steveklabnik/automatically_update_github_pages_with_travis_example
-
-# Run this script from the top-level of the checked out git
-# repository. A github OAuth token must be available in the evironment
-# variable GH_TOKEN and is set up through the .travis.yml
-# env:global:secure parameter (encrypted with travis-ci's public key)/
-#
-# Additional environment variables set in .travis.yml
-#  GH_REPOSITORY     repo to full from and push to
-#  GH_DOC_BRANCH     branch from which the docs are built
-#  GIT_CI_USER       name of the user to push docs as
-#  GIT_CI_EMAIL      email of the user to push docs as
-#  MDA_DOCDIR        path to the docdir from top of repo
-#
-# NOTE: If any of these environment variables are not set or 
-#       empty then the script will exit with an error (-o nounset).
-
-set -o errexit -o nounset
-
-function die () {
-    local msg="$1" err=${2:-1}
-    echo "ERROR: $msg [$err]"
-    exit $err
-}
-
-rev=$(git rev-parse --short HEAD)
-
-# the following tests should be superfluous because of -o nounset
-test -n "${GH_TOKEN}" || die "GH_TOKEN is empty: need OAuth GitHub token to continue" 100
-test -n "${GH_REPOSITORY}" || die "GH_REPOSITORY must be set in .travis.yml" 100
-test -n "${MDA_DOCDIR}" || die "MDA_DOCDIR must be set in .travis.yml" 100
-
-cd ${MDA_DOCDIR} || die "Failed to 'cd ${MDA_DOCDIR}'. Run from the top level of the repository"
-
-git init
-git config user.name "${GIT_CI_USER}"
-git config user.email "${GIT_CI_EMAIL}"
-
-git remote add upstream "https://${GH_TOKEN}@${GH_REPOSITORY}"
-git fetch --depth 50 upstream ${GH_DOC_BRANCH} gh-pages
-git reset upstream/gh-pages
-
-touch .
-touch .nojekyll
-
-git add -A .
-# check for anything to commit
-# https://stackoverflow.com/questions/3878624/how-do-i-programmatically-determine-if-there-are-uncommited-changes
-git diff-index --quiet HEAD -- || git commit -m "rebuilt html docs from branch ${GH_DOC_BRANCH} with sphinx at ${rev}"
-git push -q upstream HEAD:gh-pages
-
-
diff --git a/setup.py b/setup.py
index 0d465d87..b892d191 100644
--- a/setup.py
+++ b/setup.py
@@ -48,7 +48,7 @@
     },
     packages=find_packages(),
     install_requires=[
-        'MDAnalysis>=1.0.0',
+        'MDAnalysis>=1.1.1,<2',
         'dask>=0.18',
         'distributed',
         'six',
@@ -58,5 +58,5 @@
     ],
     tests_require=[
         'pytest',
-        'MDAnalysisTests>=1.0.0',  # keep
+        'MDAnalysisTests>=1.0.0,<2',  # keep
     ], )