diff --git a/package-lock.json b/package-lock.json
index 6f61e66..993f7e5 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -14,7 +14,7 @@
         "dompurify": "^3.2.2",
         "katex": "^0.16.11",
         "lucide-react": "^0.462.0",
-        "next": "15.0.3",
+        "next": "15.1.6",
         "next-sitemap": "^4.2.3",
         "nextra": "^3.2.4",
         "nextra-theme-docs": "^3.2.4",
@@ -918,17 +918,19 @@
       }
     },
     "node_modules/@next/env": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/env/-/env-15.0.3.tgz",
-      "integrity": "sha512-t9Xy32pjNOvVn2AS+Utt6VmyrshbpfUMhIjFO60gI58deSo/KgLOp31XZ4O+kY/Is8WAGYwA5gR7kOb1eORDBA=="
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/env/-/env-15.1.6.tgz",
+      "integrity": "sha512-d9AFQVPEYNr+aqokIiPLNK/MTyt3DWa/dpKveiAaVccUadFbhFEvY6FXYX2LJO2Hv7PHnLBu2oWwB4uBuHjr/w==",
+      "license": "MIT"
     },
     "node_modules/@next/swc-darwin-arm64": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-darwin-arm64/-/swc-darwin-arm64-15.0.3.tgz",
-      "integrity": "sha512-s3Q/NOorCsLYdCKvQlWU+a+GeAd3C8Rb3L1YnetsgwXzhc3UTWrtQpB/3eCjFOdGUj5QmXfRak12uocd1ZiiQw==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-darwin-arm64/-/swc-darwin-arm64-15.1.6.tgz",
+      "integrity": "sha512-u7lg4Mpl9qWpKgy6NzEkz/w0/keEHtOybmIl0ykgItBxEM5mYotS5PmqTpo+Rhg8FiOiWgwr8USxmKQkqLBCrw==",
       "cpu": [
         "arm64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "darwin"
@@ -938,12 +940,13 @@
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     },
     "node_modules/@next/swc-darwin-x64": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-darwin-x64/-/swc-darwin-x64-15.0.3.tgz",
-      "integrity": "sha512-Zxl/TwyXVZPCFSf0u2BNj5sE0F2uR6iSKxWpq4Wlk/Sv9Ob6YCKByQTkV2y6BCic+fkabp9190hyrDdPA/dNrw==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-darwin-x64/-/swc-darwin-x64-15.1.6.tgz",
+      "integrity": "sha512-x1jGpbHbZoZ69nRuogGL2MYPLqohlhnT9OCU6E6QFewwup+z+M6r8oU47BTeJcWsF2sdBahp5cKiAcDbwwK/lg==",
       "cpu": [
         "x64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "darwin"
@@ -953,12 +956,13 @@
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     "node_modules/@next/swc-linux-arm64-gnu": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-gnu/-/swc-linux-arm64-gnu-15.0.3.tgz",
-      "integrity": "sha512-T5+gg2EwpsY3OoaLxUIofmMb7ohAUlcNZW0fPQ6YAutaWJaxt1Z1h+8zdl4FRIOr5ABAAhXtBcpkZNwUcKI2fw==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-gnu/-/swc-linux-arm64-gnu-15.1.6.tgz",
+      "integrity": "sha512-jar9sFw0XewXsBzPf9runGzoivajeWJUc/JkfbLTC4it9EhU8v7tCRLH7l5Y1ReTMN6zKJO0kKAGqDk8YSO2bg==",
       "cpu": [
         "arm64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "linux"
@@ -968,12 +972,13 @@
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     },
     "node_modules/@next/swc-linux-arm64-musl": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-musl/-/swc-linux-arm64-musl-15.0.3.tgz",
-      "integrity": "sha512-WkAk6R60mwDjH4lG/JBpb2xHl2/0Vj0ZRu1TIzWuOYfQ9tt9NFsIinI1Epma77JVgy81F32X/AeD+B2cBu/YQA==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-musl/-/swc-linux-arm64-musl-15.1.6.tgz",
+      "integrity": "sha512-+n3u//bfsrIaZch4cgOJ3tXCTbSxz0s6brJtU3SzLOvkJlPQMJ+eHVRi6qM2kKKKLuMY+tcau8XD9CJ1OjeSQQ==",
       "cpu": [
         "arm64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "linux"
@@ -983,12 +988,13 @@
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     },
     "node_modules/@next/swc-linux-x64-gnu": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-gnu/-/swc-linux-x64-gnu-15.0.3.tgz",
-      "integrity": "sha512-gWL/Cta1aPVqIGgDb6nxkqy06DkwJ9gAnKORdHWX1QBbSZZB+biFYPFti8aKIQL7otCE1pjyPaXpFzGeG2OS2w==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-gnu/-/swc-linux-x64-gnu-15.1.6.tgz",
+      "integrity": "sha512-SpuDEXixM3PycniL4iVCLyUyvcl6Lt0mtv3am08sucskpG0tYkW1KlRhTgj4LI5ehyxriVVcfdoxuuP8csi3kQ==",
       "cpu": [
         "x64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "linux"
@@ -998,12 +1004,13 @@
       }
     },
     "node_modules/@next/swc-linux-x64-musl": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-musl/-/swc-linux-x64-musl-15.0.3.tgz",
-      "integrity": "sha512-QQEMwFd8r7C0GxQS62Zcdy6GKx999I/rTO2ubdXEe+MlZk9ZiinsrjwoiBL5/57tfyjikgh6GOU2WRQVUej3UA==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-musl/-/swc-linux-x64-musl-15.1.6.tgz",
+      "integrity": "sha512-L4druWmdFSZIIRhF+G60API5sFB7suTbDRhYWSjiw0RbE+15igQvE2g2+S973pMGvwN3guw7cJUjA/TmbPWTHQ==",
       "cpu": [
         "x64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "linux"
@@ -1013,12 +1020,13 @@
       }
     },
     "node_modules/@next/swc-win32-arm64-msvc": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-win32-arm64-msvc/-/swc-win32-arm64-msvc-15.0.3.tgz",
-      "integrity": "sha512-9TEp47AAd/ms9fPNgtgnT7F3M1Hf7koIYYWCMQ9neOwjbVWJsHZxrFbI3iEDJ8rf1TDGpmHbKxXf2IFpAvheIQ==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-win32-arm64-msvc/-/swc-win32-arm64-msvc-15.1.6.tgz",
+      "integrity": "sha512-s8w6EeqNmi6gdvM19tqKKWbCyOBvXFbndkGHl+c9YrzsLARRdCHsD9S1fMj8gsXm9v8vhC8s3N8rjuC/XrtkEg==",
       "cpu": [
         "arm64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "win32"
@@ -1028,12 +1036,13 @@
       }
     },
     "node_modules/@next/swc-win32-x64-msvc": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/@next/swc-win32-x64-msvc/-/swc-win32-x64-msvc-15.0.3.tgz",
-      "integrity": "sha512-VNAz+HN4OGgvZs6MOoVfnn41kBzT+M+tB+OK4cww6DNyWS6wKaDpaAm/qLeOUbnMh0oVx1+mg0uoYARF69dJyA==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/@next/swc-win32-x64-msvc/-/swc-win32-x64-msvc-15.1.6.tgz",
+      "integrity": "sha512-6xomMuu54FAFxttYr5PJbEfu96godcxBTRk1OhAvJq0/EnmFU/Ybiax30Snis4vdWZ9LGpf7Roy5fSs7v/5ROQ==",
       "cpu": [
         "x64"
       ],
+      "license": "MIT",
       "optional": true,
       "os": [
         "win32"
@@ -1253,11 +1262,12 @@
       "integrity": "sha512-e2BR4lsJkkRlKZ/qCHPw9ZaSxc0MVUd7gtbtaB7aMvHeJVYe8sOB8DBZkP2DtISHGSku9sCK6T6cnY0CtXrOCQ=="
     },
     "node_modules/@swc/helpers": {
-      "version": "0.5.13",
-      "resolved": "https://registry.npmjs.org/@swc/helpers/-/helpers-0.5.13.tgz",
-      "integrity": "sha512-UoKGxQ3r5kYI9dALKJapMmuK+1zWM/H17Z1+iwnNmzcJRnfFuevZs375TA5rW31pu4BS4NoSy1fRsexDXfWn5w==",
+      "version": "0.5.15",
+      "resolved": "https://registry.npmjs.org/@swc/helpers/-/helpers-0.5.15.tgz",
+      "integrity": "sha512-JQ5TuMi45Owi4/BIMAJBoSQoOJu12oOk/gADqlcUL9JEdHB8vyjUSsxqeNXnmXHjYKMi2WcYtezGEEhqUI/E2g==",
+      "license": "Apache-2.0",
       "dependencies": {
-        "tslib": "^2.4.0"
+        "tslib": "^2.8.0"
       }
     },
     "node_modules/@tanstack/react-virtual": {
@@ -5018,13 +5028,14 @@
       }
     },
     "node_modules/next": {
-      "version": "15.0.3",
-      "resolved": "https://registry.npmjs.org/next/-/next-15.0.3.tgz",
-      "integrity": "sha512-ontCbCRKJUIoivAdGB34yCaOcPgYXr9AAkV/IwqFfWWTXEPUgLYkSkqBhIk9KK7gGmgjc64B+RdoeIDM13Irnw==",
+      "version": "15.1.6",
+      "resolved": "https://registry.npmjs.org/next/-/next-15.1.6.tgz",
+      "integrity": "sha512-Hch4wzbaX0vKQtalpXvUiw5sYivBy4cm5rzUKrBnUB/y436LGrvOUqYvlSeNVCWFO/770gDlltR9gqZH62ct4Q==",
+      "license": "MIT",
       "dependencies": {
-        "@next/env": "15.0.3",
+        "@next/env": "15.1.6",
         "@swc/counter": "0.1.3",
-        "@swc/helpers": "0.5.13",
+        "@swc/helpers": "0.5.15",
         "busboy": "1.6.0",
         "caniuse-lite": "^1.0.30001579",
         "postcss": "8.4.31",
@@ -5037,22 +5048,22 @@
         "node": "^18.18.0 || ^19.8.0 || >= 20.0.0"
       },
       "optionalDependencies": {
-        "@next/swc-darwin-arm64": "15.0.3",
-        "@next/swc-darwin-x64": "15.0.3",
-        "@next/swc-linux-arm64-gnu": "15.0.3",
-        "@next/swc-linux-arm64-musl": "15.0.3",
-        "@next/swc-linux-x64-gnu": "15.0.3",
-        "@next/swc-linux-x64-musl": "15.0.3",
-        "@next/swc-win32-arm64-msvc": "15.0.3",
-        "@next/swc-win32-x64-msvc": "15.0.3",
+        "@next/swc-darwin-arm64": "15.1.6",
+        "@next/swc-darwin-x64": "15.1.6",
+        "@next/swc-linux-arm64-gnu": "15.1.6",
+        "@next/swc-linux-arm64-musl": "15.1.6",
+        "@next/swc-linux-x64-gnu": "15.1.6",
+        "@next/swc-linux-x64-musl": "15.1.6",
+        "@next/swc-win32-arm64-msvc": "15.1.6",
+        "@next/swc-win32-x64-msvc": "15.1.6",
         "sharp": "^0.33.5"
       },
       "peerDependencies": {
         "@opentelemetry/api": "^1.1.0",
         "@playwright/test": "^1.41.2",
         "babel-plugin-react-compiler": "*",
-        "react": "^18.2.0 || 19.0.0-rc-66855b96-20241106",
-        "react-dom": "^18.2.0 || 19.0.0-rc-66855b96-20241106",
+        "react": "^18.2.0 || 19.0.0-rc-de68d2f4-20241204 || ^19.0.0",
+        "react-dom": "^18.2.0 || 19.0.0-rc-de68d2f4-20241204 || ^19.0.0",
         "sass": "^1.3.0"
       },
       "peerDependenciesMeta": {
diff --git a/package.json b/package.json
index 9d2aa46..46f9cc3 100644
--- a/package.json
+++ b/package.json
@@ -17,7 +17,7 @@
     "dompurify": "^3.2.2",
     "katex": "^0.16.11",
     "lucide-react": "^0.462.0",
-    "next": "15.0.3",
+    "next": "15.1.6",
     "next-sitemap": "^4.2.3",
     "nextra": "^3.2.4",
     "nextra-theme-docs": "^3.2.4",