diff --git a/assets/css/utilities.css b/assets/css/utilities.css
index a09f6d865..facee093b 100644
--- a/assets/css/utilities.css
+++ b/assets/css/utilities.css
@@ -22,4 +22,8 @@
   .flip-horizontally {
     transform: scaleY(-1);
   }
+
+  .scroll-smooth {
+    scroll-behavior: smooth;
+  }
 }
diff --git a/assets/js/cell/markdown.js b/assets/js/cell/markdown.js
index 20a572399..08bb37be9 100644
--- a/assets/js/cell/markdown.js
+++ b/assets/js/cell/markdown.js
@@ -126,7 +126,7 @@ function remarkExpandUrls(options) {
   return (ast) => {
     if (options.baseUrl) {
       visit(ast, "link", (node) => {
-        if (node.url && !isAbsoluteUrl(node.url)) {
+        if (node.url && !isAbsoluteUrl(node.url) && !isPageAnchor(node.url)) {
           node.url = urlAppend(options.baseUrl, node.url);
         }
       });
@@ -161,7 +161,7 @@ function rehypeExternalLinks(options) {
         if (isInternalUrl(url)) {
           node.properties["data-phx-link"] = "redirect";
           node.properties["data-phx-link-state"] = "push";
-        } else {
+        } else if (isAbsoluteUrl(url)) {
           node.properties.target = "_blank";
           node.properties.rel = "noreferrer noopener";
         }
@@ -174,6 +174,10 @@ function isAbsoluteUrl(url) {
   return url.startsWith("http") || url.startsWith("/");
 }
 
+function isPageAnchor(url) {
+  return url.startsWith("#");
+}
+
 function isInternalUrl(url) {
   return url.startsWith("/") || url.startsWith(window.location.origin);
 }
diff --git a/lib/livebook_web/live/session_live.ex b/lib/livebook_web/live/session_live.ex
index 5ee5fe4f9..a8ba9e057 100644
--- a/lib/livebook_web/live/session_live.ex
+++ b/lib/livebook_web/live/session_live.ex
@@ -114,13 +114,13 @@ defmodule LivebookWeb.SessionLive do
       <div class="flex flex-col h-full w-full max-w-xs absolute z-30 top-0 left-[64px] overflow-y-auto shadow-xl md:static md:shadow-none bg-gray-50 border-r border-gray-100 px-6 py-10"
         data-element="side-panel">
         <div data-element="sections-list">
-          <div class="flex-grow flex flex-col">
-            <h3 class="font-semibold text-gray-800 text-lg">
+          <div class="flex flex-col flex-grow">
+            <h3 class="text-lg font-semibold text-gray-800">
               Sections
             </h3>
-            <div class="mt-4 flex flex-col space-y-4">
+            <div class="flex flex-col mt-4 space-y-4">
               <%= for section_item <- @data_view.sections_items do %>
-                <button class="text-left hover:text-gray-900 text-gray-500 flex items-center space-x-1"
+                <button class="flex items-center space-x-1 text-left text-gray-500 hover:text-gray-900"
                   data-element="sections-list-item"
                   data-section-id={section_item.id}>
                   <span><%= section_item.name %></span>
@@ -128,13 +128,13 @@ defmodule LivebookWeb.SessionLive do
                     <%# Note: the container has overflow-y auto, so we cannot set overflow-x visible,
                         consequently we show the tooltip wrapped to a fixed number of characters %>
                     <span {branching_tooltip_attrs(section_item.name, section_item.parent.name)}>
-                      <.remix_icon icon="git-branch-line" class="text-lg font-normal flip-horizontally leading-none" />
+                      <.remix_icon icon="git-branch-line" class="text-lg font-normal leading-none flip-horizontally" />
                     </span>
                   <% end %>
                 </button>
               <% end %>
             </div>
-            <button class="mt-8 p-8 py-1 text-gray-500 text-sm font-medium rounded-xl border border-gray-400 border-dashed hover:bg-gray-100 inline-flex items-center justify-center space-x-2"
+            <button class="inline-flex items-center justify-center p-8 py-1 mt-8 space-x-2 text-sm font-medium text-gray-500 border border-gray-400 border-dashed rounded-xl hover:bg-gray-100"
               phx-click="append_section">
               <.remix_icon icon="add-line" class="text-lg align-center" />
               <span>New section</span>
@@ -142,26 +142,26 @@ defmodule LivebookWeb.SessionLive do
           </div>
         </div>
         <div data-element="clients-list">
-          <div class="flex-grow flex flex-col">
-            <div class="flex space-x-4 items-center justify-between">
-              <h3 class="font-semibold text-gray-800 text-lg flex-lg">
+          <div class="flex flex-col flex-grow">
+            <div class="flex items-center justify-between space-x-4">
+              <h3 class="text-lg font-semibold text-gray-800 flex-lg">
                 Users
               </h3>
-              <span class="flex items-center space-x-2 bg-gray-200 p-2 rounded-lg text-sm">
-                <span class="bg-green-600 inline-flex rounded-full h-3 w-3"></span>
+              <span class="flex items-center p-2 space-x-2 text-sm bg-gray-200 rounded-lg">
+                <span class="inline-flex w-3 h-3 bg-green-600 rounded-full"></span>
                 <span><%= length(@data_view.clients) %> connected</span>
               </span>
             </div>
-            <div class="mt-4 flex flex-col space-y-4">
+            <div class="flex flex-col mt-4 space-y-4">
               <%= for {client_pid, user} <- @data_view.clients do %>
                 <div class="flex items-center justify-between space-x-2"
                   id={"clients-list-item-#{inspect(client_pid)}"}
                   data-element="clients-list-item"
                   data-client-pid={inspect(client_pid)}>
-                  <button class="flex space-x-2 items-center text-gray-500 hover:text-gray-900 disabled:pointer-events-none"
+                  <button class="flex items-center space-x-2 text-gray-500 hover:text-gray-900 disabled:pointer-events-none"
                     disabled={client_pid == @self}
                     data-element="client-link">
-                    <.user_avatar user={user} class="h-7 w-7 flex-shrink-0" text_class="text-xs" />
+                    <.user_avatar user={user} class="flex-shrink-0 h-7 w-7" text_class="text-xs" />
                     <span><%= user.name || "Anonymous" %></span>
                   </button>
                   <%= if client_pid != @self do %>
@@ -186,10 +186,10 @@ defmodule LivebookWeb.SessionLive do
           </div>
         </div>
       </div>
-      <div class="flex-grow overflow-y-auto" data-element="notebook">
-        <div class="py-7 px-16 max-w-screen-lg w-full mx-auto">
-          <div class="flex space-x-4 items-center pb-4 mb-6 border-b border-gray-200">
-            <h1 class="flex-grow text-gray-800 font-semibold text-3xl p-1 -ml-1 rounded-lg border border-transparent hover:border-blue-200 focus:border-blue-300"
+      <div class="flex-grow overflow-y-auto scroll-smooth" data-element="notebook">
+        <div class="w-full max-w-screen-lg px-16 mx-auto py-7">
+          <div class="flex items-center pb-4 mb-6 space-x-4 border-b border-gray-200">
+            <h1 class="flex-grow p-1 -ml-1 text-3xl font-semibold text-gray-800 border border-transparent rounded-lg hover:border-blue-200 focus:border-blue-300"
               id="notebook-name"
               data-element="notebook-name"
               contenteditable
@@ -202,12 +202,12 @@ defmodule LivebookWeb.SessionLive do
                 <.remix_icon icon="more-2-fill" class="text-xl" />
               </button>
               <div class="menu" data-content>
-                <button class="menu__item text-gray-500"
+                <button class="text-gray-500 menu__item"
                   phx-click="fork_session">
                   <.remix_icon icon="git-branch-line" />
                   <span class="font-medium">Fork</span>
                 </button>
-                <a class="menu__item text-gray-500"
+                <a class="text-gray-500 menu__item"
                   href={live_dashboard_process_path(@socket, @session.pid)}
                   target="_blank">
                   <.remix_icon icon="dashboard-2-line" />
diff --git a/lib/livebook_web/live/session_live/indicators_component.ex b/lib/livebook_web/live/session_live/indicators_component.ex
index 4cb2967c0..4624527ff 100644
--- a/lib/livebook_web/live/session_live/indicators_component.ex
+++ b/lib/livebook_web/live/session_live/indicators_component.ex
@@ -4,7 +4,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
   @impl true
   def render(assigns) do
     ~H"""
-    <div class="flex flex-col space-y-2 items-center" data-element="notebook-indicators">
+    <div class="flex flex-col items-center space-y-2" data-element="notebook-indicators">
       <%= if @file do %>
         <%= if @dirty do %>
           <%= if @autosave_interval_s do %>
@@ -54,7 +54,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
 
       <%# Note: this indicator is shown/hidden using CSS based on the current mode %>
       <span class="tooltip left" aria-label="Insert mode" data-element="insert-mode-indicator">
-        <span class="text-sm text-gray-400 font-medium cursor-default">
+        <span class="text-sm font-medium text-gray-400 cursor-default">
           ins
         </span>
       </span>
@@ -65,7 +65,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
   defp global_evaluation_status(%{status: :evaluating} = assigns) do
     ~H"""
     <span class="tooltip left" aria-label="Go to evaluating cell">
-      <button class="icon-button icon-outlined-button border-blue-400 hover:bg-blue-50 focus:bg-blue-50"
+      <button class="border-blue-400 icon-button icon-outlined-button hover:bg-blue-50 focus:bg-blue-50"
         data-element="focus-cell-button"
         data-target={@cell_id}>
         <.remix_icon icon="loader-3-line" class="text-xl text-blue-500 animate-spin" />
@@ -77,7 +77,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
   defp global_evaluation_status(%{status: :evaluated} = assigns) do
     ~H"""
     <span class="tooltip left" aria-label="Go to last evaluated cell">
-      <button class="icon-button icon-outlined-button border-green-300 hover:bg-green-50 focus:bg-green-50"
+      <button class="border-green-300 icon-button icon-outlined-button hover:bg-green-50 focus:bg-green-50"
         data-element="focus-cell-button"
         data-target={@cell_id}>
         <.remix_icon icon="loader-3-line" class="text-xl text-green-400" />
@@ -89,7 +89,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
   defp global_evaluation_status(%{status: :stale} = assigns) do
     ~H"""
     <span class="tooltip left" aria-label="Go to first stale cell">
-      <button class="icon-button icon-outlined-button border-yellow-200 hover:bg-yellow-50 focus:bg-yellow-50"
+      <button class="border-yellow-200 icon-button icon-outlined-button hover:bg-yellow-50 focus:bg-yellow-50"
         data-element="focus-cell-button"
         data-target={@cell_id}>
         <.remix_icon icon="loader-3-line" class="text-xl text-yellow-300" />
@@ -101,7 +101,7 @@ defmodule LivebookWeb.SessionLive.IndicatorsComponent do
   defp global_evaluation_status(%{status: :fresh} = assigns) do
     ~H"""
     <span class="tooltip left" aria-label="Ready to evaluate">
-      <button class="icon-button icon-outlined-button border-gray-200 hover:bg-gray-100 focus:bg-gray-100 cursor-default">
+      <button class="border-gray-200 cursor-default icon-button icon-outlined-button hover:bg-gray-100 focus:bg-gray-100">
         <.remix_icon icon="loader-3-line" class="text-xl text-gray-400" />
       </button>
     </span>
diff --git a/lib/livebook_web/templates/layout/root.html.heex b/lib/livebook_web/templates/layout/root.html.heex
index 6db446c74..cea371954 100644
--- a/lib/livebook_web/templates/layout/root.html.heex
+++ b/lib/livebook_web/templates/layout/root.html.heex
@@ -1,5 +1,5 @@
 <!DOCTYPE html>
-<html lang="en">
+<html lang="en" class="scroll-smooth">
   <head>
     <meta charset="utf-8"/>
     <meta http-equiv="X-UA-Compatible" content="IE=edge"/>
@@ -10,7 +10,7 @@
     <link phx-track-static rel="stylesheet" href={Routes.static_path(@conn, "/css/app.css")}/>
     <script defer phx-track-static type="text/javascript" src={Routes.static_path(@conn, "/js/app.js")}></script>
   </head>
-  <body>
+  <body class="scroll-smooth">
     <%= @inner_content %>
   </body>
 </html>