diff --git a/public/package-lock.json b/public/package-lock.json
index f65214b..b877d1d 100644
--- a/public/package-lock.json
+++ b/public/package-lock.json
@@ -15,7 +15,7 @@
         "katex": "^0.16.22",
         "mathjs": "^14.6.0",
         "motion": "^12.23.12",
-        "next": "15.4.6",
+        "next": "15.5.0",
         "react": "19.1.1",
         "react-dom": "19.1.1",
         "react-katex": "^3.1.0",
@@ -32,7 +32,7 @@
         "@types/react-dom": "^19",
         "@types/react-katex": "^3.0.4",
         "eslint": "^9",
-        "eslint-config-next": "15.4.6",
+        "eslint-config-next": "15.5.0",
         "tailwindcss": "^4",
         "typescript": "^5"
       }
@@ -3200,15 +3200,15 @@
       }
     },
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-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/env/-/env-15.4.6.tgz",
-      "integrity": "sha512-yHDKVTcHrZy/8TWhj0B23ylKv5ypocuCwey9ZqPyv4rPdUdRzpGCkSi03t04KBPyU96kxVtUqx6O3nE1kpxASQ==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/env/-/env-15.5.0.tgz",
+      "integrity": "sha512-sDaprBAfzCQiOgo2pO+LhnV0Wt2wBgartjrr+dpcTORYVnnXD0gwhHhiiyIih9hQbq+JnbqH4odgcFWhqCGidw==",
       "license": "MIT"
     },
     "node_modules/@next/eslint-plugin-next": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/eslint-plugin-next/-/eslint-plugin-next-15.4.6.tgz",
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+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/eslint-plugin-next/-/eslint-plugin-next-15.5.0.tgz",
+      "integrity": "sha512-+k83U/fST66eQBjTltX2T9qUYd43ntAe+NZ5qeZVTQyTiFiHvTLtkpLKug4AnZAtuI/lwz5tl/4QDJymjVkybg==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -3216,9 +3216,9 @@
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-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-darwin-arm64/-/swc-darwin-arm64-15.4.6.tgz",
-      "integrity": "sha512-667R0RTP4DwxzmrqTs4Lr5dcEda9OxuZsVFsjVtxVMVhzSpo6nLclXejJVfQo2/g7/Z9qF3ETDmN3h65mTjpTQ==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-darwin-arm64/-/swc-darwin-arm64-15.5.0.tgz",
+      "integrity": "sha512-v7Jj9iqC6enxIRBIScD/o0lH7QKvSxq2LM8UTyqJi+S2w2QzhMYjven4vgu/RzgsdtdbpkyCxBTzHl/gN5rTRg==",
       "cpu": [
         "arm64"
       ],
@@ -3232,9 +3232,9 @@
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-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-darwin-x64/-/swc-darwin-x64-15.4.6.tgz",
-      "integrity": "sha512-KMSFoistFkaiQYVQQnaU9MPWtp/3m0kn2Xed1Ces5ll+ag1+rlac20sxG+MqhH2qYWX1O2GFOATQXEyxKiIscg==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-darwin-x64/-/swc-darwin-x64-15.5.0.tgz",
+      "integrity": "sha512-s2Nk6ec+pmYmAb/utawuURy7uvyYKDk+TRE5aqLRsdnj3AhwC9IKUBmhfnLmY/+P+DnwqpeXEFIKe9tlG0p6CA==",
       "cpu": [
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@@ -3248,9 +3248,9 @@
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-      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-gnu/-/swc-linux-arm64-gnu-15.4.6.tgz",
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+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-gnu/-/swc-linux-arm64-gnu-15.5.0.tgz",
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       "cpu": [
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@@ -3264,9 +3264,9 @@
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     "node_modules/@next/swc-linux-arm64-musl": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-musl/-/swc-linux-arm64-musl-15.4.6.tgz",
-      "integrity": "sha512-XBbuQddtY1p5FGPc2naMO0kqs4YYtLYK/8aPausI5lyOjr4J77KTG9mtlU4P3NwkLI1+OjsPzKVvSJdMs3cFaw==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-arm64-musl/-/swc-linux-arm64-musl-15.5.0.tgz",
+      "integrity": "sha512-biWqIOE17OW/6S34t1X8K/3vb1+svp5ji5QQT/IKR+VfM3B7GvlCwmz5XtlEan2ukOUf9tj2vJJBffaGH4fGRw==",
       "cpu": [
         "arm64"
       ],
@@ -3280,9 +3280,9 @@
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     "node_modules/@next/swc-linux-x64-gnu": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-gnu/-/swc-linux-x64-gnu-15.4.6.tgz",
-      "integrity": "sha512-+WTeK7Qdw82ez3U9JgD+igBAP75gqZ1vbK6R8PlEEuY0OIe5FuYXA4aTjL811kWPf7hNeslD4hHK2WoM9W0IgA==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-gnu/-/swc-linux-x64-gnu-15.5.0.tgz",
+      "integrity": "sha512-zPisT+obYypM/l6EZ0yRkK3LEuoZqHaSoYKj+5jiD9ESHwdr6QhnabnNxYkdy34uCigNlWIaCbjFmQ8FY5AlxA==",
       "cpu": [
         "x64"
       ],
@@ -3296,9 +3296,9 @@
       }
     },
     "node_modules/@next/swc-linux-x64-musl": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-musl/-/swc-linux-x64-musl-15.4.6.tgz",
-      "integrity": "sha512-XP824mCbgQsK20jlXKrUpZoh/iO3vUWhMpxCz8oYeagoiZ4V0TQiKy0ASji1KK6IAe3DYGfj5RfKP6+L2020OQ==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-linux-x64-musl/-/swc-linux-x64-musl-15.5.0.tgz",
+      "integrity": "sha512-+t3+7GoU9IYmk+N+FHKBNFdahaReoAktdOpXHFIPOU1ixxtdge26NgQEEkJkCw2dHT9UwwK5zw4mAsURw4E8jA==",
       "cpu": [
         "x64"
       ],
@@ -3312,9 +3312,9 @@
       }
     },
     "node_modules/@next/swc-win32-arm64-msvc": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-win32-arm64-msvc/-/swc-win32-arm64-msvc-15.4.6.tgz",
-      "integrity": "sha512-FxrsenhUz0LbgRkNWx6FRRJIPe/MI1JRA4W4EPd5leXO00AZ6YU8v5vfx4MDXTvN77lM/EqsE3+6d2CIeF5NYg==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-win32-arm64-msvc/-/swc-win32-arm64-msvc-15.5.0.tgz",
+      "integrity": "sha512-d8MrXKh0A+c9DLiy1BUFwtg3Hu90Lucj3k6iKTUdPOv42Ve2UiIG8HYi3UAb8kFVluXxEfdpCoPPCSODk5fDcw==",
       "cpu": [
         "arm64"
       ],
@@ -3328,9 +3328,9 @@
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     },
     "node_modules/@next/swc-win32-x64-msvc": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/@next/swc-win32-x64-msvc/-/swc-win32-x64-msvc-15.4.6.tgz",
-      "integrity": "sha512-T4ufqnZ4u88ZheczkBTtOF+eKaM14V8kbjud/XrAakoM5DKQWjW09vD6B9fsdsWS2T7D5EY31hRHdta7QKWOng==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/@next/swc-win32-x64-msvc/-/swc-win32-x64-msvc-15.5.0.tgz",
+      "integrity": "sha512-Fe1tGHxOWEyQjmygWkkXSwhFcTJuimrNu52JEuwItrKJVV4iRjbWp9I7zZjwqtiNnQmxoEvoisn8wueFLrNpvQ==",
       "cpu": [
         "x64"
       ],
@@ -9129,13 +9129,13 @@
       }
     },
     "node_modules/eslint-config-next": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/eslint-config-next/-/eslint-config-next-15.4.6.tgz",
-      "integrity": "sha512-4uznvw5DlTTjrZgYZjMciSdDDMO2SWIuQgUNaFyC2O3Zw3Z91XeIejeVa439yRq2CnJb/KEvE4U2AeN/66FpUA==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/eslint-config-next/-/eslint-config-next-15.5.0.tgz",
+      "integrity": "sha512-Yl4hlOdBqstAuHnlBfx2RimBzWQwysM2SJNu5EzYVa2qS2ItPs7lgxL0sJJDudEx5ZZHfWPZ/6U8+FtDFWs7/w==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "@next/eslint-plugin-next": "15.4.6",
+        "@next/eslint-plugin-next": "15.5.0",
         "@rushstack/eslint-patch": "^1.10.3",
         "@typescript-eslint/eslint-plugin": "^5.4.2 || ^6.0.0 || ^7.0.0 || ^8.0.0",
         "@typescript-eslint/parser": "^5.4.2 || ^6.0.0 || ^7.0.0 || ^8.0.0",
@@ -18390,12 +18390,12 @@
       "license": "MIT"
     },
     "node_modules/next": {
-      "version": "15.4.6",
-      "resolved": "https://registry.npmjs.org/next/-/next-15.4.6.tgz",
-      "integrity": "sha512-us++E/Q80/8+UekzB3SAGs71AlLDsadpFMXVNM/uQ0BMwsh9m3mr0UNQIfjKed8vpWXsASe+Qifrnu1oLIcKEQ==",
+      "version": "15.5.0",
+      "resolved": "https://registry.npmjs.org/next/-/next-15.5.0.tgz",
+      "integrity": "sha512-N1lp9Hatw3a9XLt0307lGB4uTKsXDhyOKQo7uYMzX4i0nF/c27grcGXkLdb7VcT8QPYLBa8ouIyEoUQJ2OyeNQ==",
       "license": "MIT",
       "dependencies": {
-        "@next/env": "15.4.6",
+        "@next/env": "15.5.0",
         "@swc/helpers": "0.5.15",
         "caniuse-lite": "^1.0.30001579",
         "postcss": "8.4.31",
@@ -18408,14 +18408,14 @@
         "node": "^18.18.0 || ^19.8.0 || >= 20.0.0"
       },
       "optionalDependencies": {
-        "@next/swc-darwin-arm64": "15.4.6",
-        "@next/swc-darwin-x64": "15.4.6",
-        "@next/swc-linux-arm64-gnu": "15.4.6",
-        "@next/swc-linux-arm64-musl": "15.4.6",
-        "@next/swc-linux-x64-gnu": "15.4.6",
-        "@next/swc-linux-x64-musl": "15.4.6",
-        "@next/swc-win32-arm64-msvc": "15.4.6",
-        "@next/swc-win32-x64-msvc": "15.4.6",
+        "@next/swc-darwin-arm64": "15.5.0",
+        "@next/swc-darwin-x64": "15.5.0",
+        "@next/swc-linux-arm64-gnu": "15.5.0",
+        "@next/swc-linux-arm64-musl": "15.5.0",
+        "@next/swc-linux-x64-gnu": "15.5.0",
+        "@next/swc-linux-x64-musl": "15.5.0",
+        "@next/swc-win32-arm64-msvc": "15.5.0",
+        "@next/swc-win32-x64-msvc": "15.5.0",
         "sharp": "^0.34.3"
       },
       "peerDependencies": {
diff --git a/public/package.json b/public/package.json
index 89a4148..1833de3 100644
--- a/public/package.json
+++ b/public/package.json
@@ -16,7 +16,7 @@
     "katex": "^0.16.22",
     "mathjs": "^14.6.0",
     "motion": "^12.23.12",
-    "next": "15.4.6",
+    "next": "15.5.0",
     "react": "19.1.1",
     "react-dom": "19.1.1",
     "react-katex": "^3.1.0",
@@ -33,7 +33,7 @@
     "@types/react-dom": "^19",
     "@types/react-katex": "^3.0.4",
     "eslint": "^9",
-    "eslint-config-next": "15.4.6",
+    "eslint-config-next": "15.5.0",
     "tailwindcss": "^4",
     "typescript": "^5"
   }