diff --git a/e2e/right-pane-scroll.spec.ts b/e2e/right-pane-scroll.spec.ts
new file mode 100644
index 0000000..75b4015
--- /dev/null
+++ b/e2e/right-pane-scroll.spec.ts
@@ -0,0 +1,59 @@
+import { test, expect, type Page } from '@playwright/test'
+
+async function createSemester(page: Page) {
+  await page.goto('/')
+  await page.getByRole('button', { name: 'Create your first semester' }).click()
+  await page.getByRole('button', { name: 'Create Semester' }).click()
+  await expect(page.getByRole('heading', { name: 'Weekly Schedule' })).toBeVisible()
+}
+
+const viewSwitch = (page: Page) => page.getByRole('group', { name: 'Right panel view' })
+// The right pane's scroll field: the homework list's parent (see RightPane).
+const scrollField = (page: Page) => page.locator('#homework-list').locator('xpath=..')
+
+/** The Schedule|Exams switch is pinned; only the content under it scrolls, with no visible bar. */
+test.describe('right pane scrolling', () => {
+  for (const width of [1440, 1100]) {
+    test(`desktop @${width}px: the view switch stays put while the pane scrolls`, async ({
+      page,
+    }) => {
+      await page.setViewportSize({ width, height: 800 })
+      await createSemester(page)
+
+      const field = scrollField(page)
+      const geom = await field.evaluate((el: HTMLElement) => ({
+        overflows: el.scrollHeight > el.clientHeight,
+        scrollbarWidth: el.offsetWidth - el.clientWidth,
+        overflowY: getComputedStyle(el).overflowY,
+      }))
+      expect(geom.overflows).toBe(true)
+      expect(geom.overflowY).toBe('auto')
+      expect(geom.scrollbarWidth).toBe(0)
+
+      const before = await viewSwitch(page).boundingBox()
+      await field.evaluate((el: HTMLElement) => el.scrollBy(0, 400))
+      expect(await field.evaluate((el: HTMLElement) => el.scrollTop)).toBeGreaterThan(0)
+
+      const after = await viewSwitch(page).boundingBox()
+      expect(after!.y).toBeCloseTo(before!.y, 0)
+
+      // The window itself never scrolls on desktop — each pane owns its scrolling.
+      const pageOverflow = await page.evaluate(
+        () => document.documentElement.scrollHeight - document.documentElement.clientHeight,
+      )
+      expect(pageOverflow).toBeLessThanOrEqual(0)
+    })
+  }
+
+  test('mobile: the view switch sticks to the top of the viewport', async ({ page }) => {
+    await page.setViewportSize({ width: 390, height: 844 })
+    await createSemester(page)
+
+    await page.getByRole('heading', { name: 'Weekly Schedule' }).scrollIntoViewIfNeeded()
+    await page.mouse.wheel(0, 1200)
+    await expect
+      .poll(async () => (await viewSwitch(page).boundingBox())!.y, { timeout: 3000 })
+      .toBeLessThan(40)
+    await expect(viewSwitch(page)).toBeInViewport()
+  })
+})
diff --git a/src/App.tsx b/src/App.tsx
index 7ae43c9..15c6ace 100644
--- a/src/App.tsx
+++ b/src/App.tsx
@@ -95,24 +95,30 @@ function RightPane() {
   const view = resolveExamViewMode(semester, now)
 
   return (
-    <div className="flex flex-col gap-4">
-      <div className="flex justify-end">
+    // Mirrors LeftPane: on desktop the pane fills its height and only the content
+    // below the view switch scrolls. On mobile (stacked, one page-long scroll) the
+    // switch sticks to the top of the viewport while this column is in view, so it
+    // is reachable from anywhere in the schedule/exams content either way.
+    <div className="flex flex-col lg:h-full">
+      <div className="sticky top-0 z-20 flex justify-end bg-surface pt-2 pb-3 lg:static lg:pt-0 lg:pb-4">
         <ViewToggle />
       </div>
-      {view === 'exam' ? (
-        <ExamRoadmap />
-      ) : (
-        <>
-          <WeekCalendar />
-          <section id="homework-list">
-            <h3 className="mb-2 text-[13px] font-semibold tracking-[0.5px] text-ink-faint uppercase">
-              Homework
-            </h3>
-            <HomeworkList />
-          </section>
-          <ScrollToHomeworkButton />
-        </>
-      )}
+      <div className="flex flex-col gap-4 lg:min-h-0 lg:flex-1 lg:overflow-y-auto lg:pb-16 scrollbar-hidden">
+        {view === 'exam' ? (
+          <ExamRoadmap />
+        ) : (
+          <>
+            <WeekCalendar />
+            <section id="homework-list" className="scroll-mt-16">
+              <h3 className="mb-2 text-[13px] font-semibold tracking-[0.5px] text-ink-faint uppercase">
+                Homework
+              </h3>
+              <HomeworkList />
+            </section>
+            <ScrollToHomeworkButton />
+          </>
+        )}
+      </div>
     </div>
   )
 }
diff --git a/src/features/layout/AppShell.tsx b/src/features/layout/AppShell.tsx
index b340020..6e409df 100644
--- a/src/features/layout/AppShell.tsx
+++ b/src/features/layout/AppShell.tsx
@@ -17,7 +17,9 @@ import { useMediaQuery } from '@/hooks/useMediaQuery'
  *   appears, persisted via autoSaveId ('tollab-split-v3').
  * - ≤ 1023px: the panes stack into one scrolling column.
  *
- * Both panes cap their content at max-w-4xl and scroll independently.
+ * Both panes cap their content at max-w-4xl and fill the viewport height; each
+ * owns its scrolling internally (see LeftPane/RightPane), so their headers stay
+ * pinned while only the content below them scrolls.
  */
 export function AppShell({ left, right }: { left: ReactNode; right: ReactNode }) {
   const stacked = useMediaQuery('(max-width: 1023px)')
@@ -36,8 +38,12 @@ export function AppShell({ left, right }: { left: ReactNode; right: ReactNode })
   // the window edge instead of running flush to it. Shared by both desktop
   // branches so the fixed and draggable splits are pixel-identical apart from the
   // handle.
+  //
+  // The right pane gets no bottom padding here: it is a full-height column whose
+  // own scroll field (inside RightPane) carries the bottom breathing room, so the
+  // padding scrolls with the content rather than clipping the pinned view switch.
   const leftInner = <div className="mx-auto h-full w-full max-w-4xl p-8">{left}</div>
-  const rightInner = <div className="mx-auto w-full max-w-4xl px-6 pt-8 pb-16">{right}</div>
+  const rightInner = <div className="mx-auto h-full w-full max-w-4xl px-6 pt-8">{right}</div>
 
   if (roomy) {
     return (
@@ -46,7 +52,7 @@ export function AppShell({ left, right }: { left: ReactNode; right: ReactNode })
         style={{ gridTemplateColumns: 'minmax(0, 55fr) minmax(0, 45fr)' }}
       >
         <div className="overflow-hidden">{leftInner}</div>
-        <div className="overflow-y-auto [scrollbar-gutter:stable]">{rightInner}</div>
+        <div className="overflow-hidden">{rightInner}</div>
       </div>
     )
   }
@@ -65,7 +71,7 @@ export function AppShell({ left, right }: { left: ReactNode; right: ReactNode })
           <span className="size-[3px] rounded-full bg-ink-faint" />
         </div>
       </PanelResizeHandle>
-      <Panel defaultSize={45} minSize={25} className="!overflow-y-auto [scrollbar-gutter:stable]">
+      <Panel defaultSize={45} minSize={25} className="!overflow-hidden">
         {rightInner}
       </Panel>
     </PanelGroup>
diff --git a/src/styles/theme.css b/src/styles/theme.css
index 222d28b..eb2e714 100644
--- a/src/styles/theme.css
+++ b/src/styles/theme.css
@@ -139,6 +139,16 @@
   text-transform: uppercase;
 }
 
+/* A scroll field with no scrollbar chrome. Wheel, touch, and keyboard scrolling
+   all still work; only the bar itself is hidden, so a pane can scroll without a
+   rule down its edge. */
+@utility scrollbar-hidden {
+  scrollbar-width: none;
+  &::-webkit-scrollbar {
+    display: none;
+  }
+}
+
 @layer base {
   body {
     @apply bg-surface text-ink antialiased;
diff --git a/tsconfig.node.json b/tsconfig.node.json
index 3396985..6569e83 100644
--- a/tsconfig.node.json
+++ b/tsconfig.node.json
@@ -2,7 +2,10 @@
   "compilerOptions": {
     "tsBuildInfoFile": "./node_modules/.tmp/tsconfig.node.tsbuildinfo",
     "target": "ES2023",
-    "lib": ["ES2023"],
+    // DOM is here for the e2e specs only: Playwright's page/locator.evaluate
+    // callbacks are typed against browser globals even though the test file runs
+    // in Node.
+    "lib": ["ES2023", "DOM"],
     "module": "ESNext",
     "types": ["node"],
     "skipLibCheck": true,