diff --git a/package-lock.json b/package-lock.json
index 4404063..1f57149 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -43,9 +43,10 @@
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@@ -84,25 +85,26 @@
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-        "zod": "^3.25.76 || ^4"
+        "zod": "^3.25.76 || ^4.1.8"
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-      "resolved": "https://registry.npmjs.org/@ai-sdk/provider/-/provider-2.0.0.tgz",
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@@ -112,21 +114,21 @@
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+      "resolved": "https://registry.npmjs.org/@fastify/busboy/-/busboy-2.1.1.tgz",
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+      "license": "MIT",
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@@ -886,41 +897,41 @@
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       "dev": true,
       "license": "Apache-2.0",
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-        "@humanwhocodes/retry": "^0.3.0"
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-      "funding": {
-        "type": "github",
-        "url": "https://github.com/sponsors/nzakas"
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@@ -951,10 +962,20 @@
         "url": "https://github.com/sponsors/nzakas"
       }
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+      "resolved": "https://registry.npmjs.org/@img/colour/-/colour-1.1.0.tgz",
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+      "license": "MIT",
+      "optional": true,
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-      "resolved": "https://registry.npmjs.org/@img/sharp-darwin-arm64/-/sharp-darwin-arm64-0.34.3.tgz",
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@@ -964,19 +985,19 @@
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+        "node": ">=20.9.0"
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         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
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+        "@img/sharp-libvips-darwin-arm64": "1.3.3"
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@@ -986,19 +1007,38 @@
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+        "node": ">=20.9.0"
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         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-libvips-darwin-x64": "1.2.0"
+        "@img/sharp-libvips-darwin-x64": "1.3.3"
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+      "license": "Apache-2.0",
+      "optional": true,
+      "os": [
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+      "dependencies": {
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@@ -1012,9 +1052,9 @@
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@@ -1028,9 +1068,9 @@
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@@ -1044,9 +1084,9 @@
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@@ -1060,9 +1100,9 @@
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@@ -1075,10 +1115,26 @@
         "url": "https://opencollective.com/libvips"
       }
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+        "riscv64"
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+      "optional": true,
+      "os": [
+        "linux"
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@@ -1092,9 +1148,9 @@
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@@ -1108,9 +1164,9 @@
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@@ -1124,9 +1180,9 @@
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-        "prismjs": "^1.27.0",
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@@ -10735,6 +10840,22 @@
         "url": "https://opencollective.com/unified"
       }
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+    "node_modules/rehype-katex/node_modules/katex": {
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+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
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+      "funding": [
+        "https://opencollective.com/katex",
+        "https://github.com/sponsors/katex"
+      ],
+      "license": "MIT",
+      "dependencies": {
+        "commander": "^8.3.0"
+      },
+      "bin": {
+        "katex": "cli.js"
+      }
+    },
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@@ -11011,9 +11132,9 @@
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+      "resolved": "https://registry.npmjs.org/semver/-/semver-7.8.5.tgz",
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@@ -11073,46 +11194,53 @@
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+      "resolved": "https://registry.npmjs.org/sharp/-/sharp-0.35.4.tgz",
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-        "detect-libc": "^2.0.4",
-        "semver": "^7.7.2"
+        "@img/colour": "^1.1.0",
+        "detect-libc": "^2.1.2",
+        "semver": "^7.8.5"
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-        "node": "^18.17.0 || ^20.3.0 || >=21.0.0"
+        "node": ">=20.9.0"
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-        "@img/sharp-win32-ia32": "0.34.3",
-        "@img/sharp-win32-x64": "0.34.3"
+        "@img/sharp-darwin-arm64": "0.35.4",
+        "@img/sharp-darwin-x64": "0.35.4",
+        "@img/sharp-freebsd-wasm32": "0.35.4",
+        "@img/sharp-libvips-darwin-arm64": "1.3.3",
+        "@img/sharp-libvips-darwin-x64": "1.3.3",
+        "@img/sharp-libvips-linux-arm": "1.3.3",
+        "@img/sharp-libvips-linux-arm64": "1.3.3",
+        "@img/sharp-libvips-linux-ppc64": "1.3.3",
+        "@img/sharp-libvips-linux-riscv64": "1.3.3",
+        "@img/sharp-libvips-linux-s390x": "1.3.3",
+        "@img/sharp-libvips-linux-x64": "1.3.3",
+        "@img/sharp-libvips-linuxmusl-arm64": "1.3.3",
+        "@img/sharp-libvips-linuxmusl-x64": "1.3.3",
+        "@img/sharp-linux-arm": "0.35.4",
+        "@img/sharp-linux-arm64": "0.35.4",
+        "@img/sharp-linux-ppc64": "0.35.4",
+        "@img/sharp-linux-riscv64": "0.35.4",
+        "@img/sharp-linux-s390x": "0.35.4",
+        "@img/sharp-linux-x64": "0.35.4",
+        "@img/sharp-linuxmusl-arm64": "0.35.4",
+        "@img/sharp-linuxmusl-x64": "0.35.4",
+        "@img/sharp-webcontainers-wasm32": "0.35.4",
+        "@img/sharp-win32-arm64": "0.35.4",
+        "@img/sharp-win32-ia32": "0.35.4",
+        "@img/sharp-win32-x64": "0.35.4"
+      },
+      "peerDependenciesMeta": {
+        "@types/node": {
+          "optional": true
+        }
       }
     },
     "node_modules/shebang-command": {
@@ -11139,14 +11267,14 @@
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-      "version": "1.1.0",
-      "resolved": "https://registry.npmjs.org/side-channel/-/side-channel-1.1.0.tgz",
-      "integrity": "sha512-ZX99e6tRweoUXqR+VBrslhda51Nh5MTQwou5tnUDgbtyM0dBgmhEDtWGP/xbKn6hqfPRHujUNwz5fy/wbbhnpw==",
+      "version": "1.1.1",
+      "resolved": "https://registry.npmjs.org/side-channel/-/side-channel-1.1.1.tgz",
+      "integrity": "sha512-6x6dK6zJdpTzF4sQeNYxwtvBzf6Eg4GtlesS94HOvTudUeyK2WXAaIfmDgsyslYrRBeFIlsi54AYsFGUuhmvrQ==",
       "license": "MIT",
       "dependencies": {
         "es-errors": "^1.3.0",
-        "object-inspect": "^1.13.3",
-        "side-channel-list": "^1.0.0",
+        "object-inspect": "^1.13.4",
+        "side-channel-list": "^1.0.1",
         "side-channel-map": "^1.0.1",
         "side-channel-weakmap": "^1.0.2"
       },
@@ -11158,13 +11286,13 @@
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-      "resolved": "https://registry.npmjs.org/side-channel-list/-/side-channel-list-1.0.0.tgz",
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+      "version": "1.0.1",
+      "resolved": "https://registry.npmjs.org/side-channel-list/-/side-channel-list-1.0.1.tgz",
+      "integrity": "sha512-mjn/0bi/oUURjc5Xl7IaWi/OJJJumuoJFQJfDDyO46+hBWsfaVM65TBHq2eoZBhzl9EchxOijpkbRC8SVBQU0w==",
       "license": "MIT",
       "dependencies": {
         "es-errors": "^1.3.0",
-        "object-inspect": "^1.13.3"
+        "object-inspect": "^1.13.4"
       },
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@@ -11210,16 +11338,6 @@
         "url": "https://github.com/sponsors/ljharb"
       }
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-    "node_modules/simple-swizzle": {
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-      "resolved": "https://registry.npmjs.org/simple-swizzle/-/simple-swizzle-0.2.2.tgz",
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@@ -11287,14 +11405,6 @@
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-    "node_modules/streamsearch": {
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-      "resolved": "https://registry.npmjs.org/streamsearch/-/streamsearch-1.1.0.tgz",
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-      "engines": {
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@@ -11536,7 +11646,8 @@
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       "dev": true,
-      "license": "MIT"
+      "license": "MIT",
+      "peer": true
     },
     "node_modules/tapable": {
       "version": "2.2.2",
@@ -11549,17 +11660,16 @@
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-      "resolved": "https://registry.npmjs.org/tar/-/tar-7.4.3.tgz",
-      "integrity": "sha512-5S7Va8hKfV7W5U6g3aYxXmlPoZVAwUMy9AOKyF2fVuZa2UD3qZjg578OrLRt8PcNN1PleVaL/5/yYATNL0ICUw==",
+      "version": "7.5.22",
+      "resolved": "https://registry.npmjs.org/tar/-/tar-7.5.22.tgz",
+      "integrity": "sha512-MFO/QzvtAOmJbkhOaCTvbGcFN9L9b+JunIsDwaKljSOdcLMea3NJ1k9Usz/rjdfSXTq4dfzfeS7W4p4YOAAHeA==",
       "dev": true,
-      "license": "ISC",
+      "license": "BlueOak-1.0.0",
       "dependencies": {
         "@isaacs/fs-minipass": "^4.0.0",
         "chownr": "^3.0.0",
         "minipass": "^7.1.2",
-        "minizlib": "^3.0.1",
-        "mkdirp": "^3.0.1",
+        "minizlib": "^3.1.0",
         "yallist": "^5.0.0"
       },
       "engines": {
@@ -11582,7 +11692,8 @@
       "version": "0.179.1",
       "resolved": "https://registry.npmjs.org/three/-/three-0.179.1.tgz",
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-      "license": "MIT"
+      "license": "MIT",
+      "peer": true
     },
     "node_modules/tinyglobby": {
       "version": "0.2.14",
@@ -11617,11 +11728,12 @@
       }
     },
     "node_modules/tinyglobby/node_modules/picomatch": {
-      "version": "4.0.3",
-      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-4.0.3.tgz",
-      "integrity": "sha512-5gTmgEY/sqK6gFXLIsQNH19lWb4ebPDLA4SdLP7dsWkIXHWlG66oPuVvXSGFPppYZz8ZDZq0dYYrbHfBCVUb1Q==",
+      "version": "4.0.7",
+      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-4.0.7.tgz",
+      "integrity": "sha512-qcJu88Q2IWqJsDD529JKMdwGm/dvInW4HvQnRwiH9JtihJvzGOscDtHE3x1pBKeUOTysQ8kVmLnJ2kJu7yhcGA==",
       "dev": true,
       "license": "MIT",
+      "peer": true,
       "engines": {
         "node": ">=12"
       },
@@ -11839,6 +11951,7 @@
       "integrity": "sha512-CWBzXQrc/qOkhidw1OzBTQuYRbfyxDXJMVJ1XNwUHGROVmuaeiEm3OslpZ1RV96d7SKKjZKrSJu3+t/xlw3R9A==",
       "devOptional": true,
       "license": "Apache-2.0",
+      "peer": true,
       "bin": {
         "tsc": "bin/tsc",
         "tsserver": "bin/tsserver"
@@ -11866,6 +11979,18 @@
         "url": "https://github.com/sponsors/ljharb"
       }
     },
+    "node_modules/undici": {
+      "version": "5.29.0",
+      "resolved": "https://registry.npmjs.org/undici/-/undici-5.29.0.tgz",
+      "integrity": "sha512-raqeBD6NQK4SkWhQzeYKd1KmIG6dllBOTt55Rmkt4HtI9mwdWtJljnrXjAFUBLTSN67HWrOIZ3EPF4kjUw80Bg==",
+      "license": "MIT",
+      "dependencies": {
+        "@fastify/busboy": "^2.0.0"
+      },
+      "engines": {
+        "node": ">=14.0"
+      }
+    },
     "node_modules/undici-types": {
       "version": "6.21.0",
       "resolved": "https://registry.npmjs.org/undici-types/-/undici-types-6.21.0.tgz",
@@ -12023,9 +12148,9 @@
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     "node_modules/update-browserslist-db": {
-      "version": "1.1.3",
-      "resolved": "https://registry.npmjs.org/update-browserslist-db/-/update-browserslist-db-1.1.3.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/update-browserslist-db/-/update-browserslist-db-1.3.3.tgz",
+      "integrity": "sha512-pJ2sYawQS0R/WI928Gj5GlPhTGzbMelq0+4INtSYNDV9ErKJcX6xjGWkoG/VnB3dpUm00zALaqkrUD77pO5TDQ==",
       "dev": true,
       "funding": [
         {
@@ -12116,6 +12241,7 @@
       "resolved": "https://registry.npmjs.org/use-sync-external-store/-/use-sync-external-store-1.5.0.tgz",
       "integrity": "sha512-Rb46I4cGGVBmjamjphe8L/UnvJD+uPPtTkNvX5mZgqdbavhI4EbgIWJiIHXJ8bc/i9EQGPRh4DwEURJ552Do0A==",
       "license": "MIT",
+      "peer": true,
       "peerDependencies": {
         "react": "^16.8.0 || ^17.0.0 || ^18.0.0 || ^19.0.0"
       }
@@ -12348,9 +12474,9 @@
       }
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     "node_modules/ws": {
-      "version": "8.18.3",
-      "resolved": "https://registry.npmjs.org/ws/-/ws-8.18.3.tgz",
-      "integrity": "sha512-PEIGCY5tSlUt50cqyMXfCzX+oOPqN0vuGqWzbcJ2xvnkzkq46oOpz7dQaTDBdfICb4N14+GARUDw2XV2N4tvzg==",
+      "version": "8.21.3",
+      "resolved": "https://registry.npmjs.org/ws/-/ws-8.21.3.tgz",
+      "integrity": "sha512-201TZ/kPWxoPr/OKWjquZR1SWKXcvxdH+e1xrx89b3YbmzLMFCLfnaG1HFIgWzJOEWZ7MvpK++odZufgYR50Rw==",
       "license": "MIT",
       "engines": {
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@@ -12405,6 +12531,7 @@
       "resolved": "https://registry.npmjs.org/zod/-/zod-3.25.76.tgz",
       "integrity": "sha512-gzUt/qt81nXsFGKIFcC3YnfEAx5NkunCfnDlvuBSSFS02bcXu4Lmea0AFIUwbLWxWPx3d9p8S5QoaujKcNQxcQ==",
       "license": "MIT",
+      "peer": true,
       "funding": {
         "url": "https://github.com/sponsors/colinhacks"
       }
@@ -12414,6 +12541,7 @@
       "resolved": "https://registry.npmjs.org/zod-to-json-schema/-/zod-to-json-schema-3.24.6.tgz",
       "integrity": "sha512-h/z3PKvcTcTetyjl1fkj79MHNEjm+HpD6NXheWjzOekY7kV+lwDYnHw+ivHkijnCSMz1yJaWBD9vu/Fcmk+vEg==",
       "license": "ISC",
+      "peer": true,
       "peerDependencies": {
         "zod": "^3.24.1"
       }
diff --git a/package.json b/package.json
index c090551..567646f 100644
--- a/package.json
+++ b/package.json
@@ -44,9 +44,10 @@
     "i18next": "^25.2.1",
     "i18next-browser-languagedetector": "^8.1.0",
     "js-tiktoken": "^1.0.20",
+    "katex": "^0.18.7",
     "llamaindex": "^0.11.28",
     "lucide-react": "^0.510.0",
-    "next": "15.3.2",
+    "next": "^15.5.21",
     "pg": "^8.16.3",
     "pgvector": "^0.2.0",
     "react": "^19.0.0",
diff --git a/src/components/ai-elements/math-error-boundary.tsx b/src/components/ai-elements/math-error-boundary.tsx
new file mode 100644
index 0000000..f6ee4e4
--- /dev/null
+++ b/src/components/ai-elements/math-error-boundary.tsx
@@ -0,0 +1,38 @@
+'use client';
+
+import { Component, type ReactNode } from 'react';
+
+interface Props {
+  children: ReactNode;
+  fallback?: ReactNode;
+}
+
+interface State {
+  hasError: boolean;
+  error?: Error;
+}
+
+export class MathErrorBoundary extends Component<Props, State> {
+  constructor(props: Props) {
+    super(props);
+    this.state = { hasError: false };
+  }
+
+  static getDerivedStateFromError(error: Error): State {
+    return { hasError: true, error };
+  }
+
+  render() {
+    if (this.state.hasError) {
+      // Graceful fallback — show raw content instead of crashing
+      return (
+        this.props.fallback ?? (
+          <span className="text-muted-foreground italic text-sm">
+            [Math rendering failed]
+          </span>
+        )
+      );
+    }
+    return this.props.children;
+  }
+}
\ No newline at end of file
diff --git a/src/components/ai-elements/response.tsx b/src/components/ai-elements/response.tsx
index fdfe8a0..86f7d10 100644
--- a/src/components/ai-elements/response.tsx
+++ b/src/components/ai-elements/response.tsx
@@ -10,6 +10,7 @@ import rehypeKatex from 'rehype-katex';
 import remarkGfm from 'remark-gfm';
 import remarkMath from 'remark-math';
 import { CodeBlock, CodeBlockCopyButton } from './code-block';
+import { MathErrorBoundary } from './math-error-boundary';
 
 /**
  * Parses markdown text and removes incomplete tokens to prevent partial rendering
@@ -154,6 +155,28 @@ function parseIncompleteMarkdown(text: string): string {
     }
   }
 
+    // Handle incomplete inline math ($...$)
+  const inlineMathPattern = /(\$)([^\$]*?)$/;
+  const inlineMathMatch = result.match(inlineMathPattern);
+  if (inlineMathMatch) {
+    const dollarSigns = (result.match(/\$/g) || []).length;
+    // If odd number of $, we have incomplete inline math - close it
+    if (dollarSigns % 2 === 1) {
+      result = `${result}$`;
+    }
+  }
+
+  // Handle incomplete block math ($$...$$)
+  const blockMathPattern = /(\$\$)([\s\S]*?)$/;
+  const blockMathMatch = result.match(blockMathPattern);
+  if (blockMathMatch) {
+    const doubleDollarSigns = (result.match(/\$\$/g) || []).length;
+    // If odd number of $$, we have incomplete block math - close it
+    if (doubleDollarSigns % 2 === 1) {
+      result = `${result}$$`;
+    }
+  }
+
   return result;
 }
 
@@ -294,6 +317,7 @@ const ResponseComponent = ({
       : children;
 
   return (
+    <MathErrorBoundary>
     <div
       className={cn(
         'size-full [&>*:first-child]:mt-0 [&>*:last-child]:mb-0',
@@ -313,6 +337,7 @@ const ResponseComponent = ({
         {parsedChildren}
       </HardenedMarkdown>
     </div>
+    </MathErrorBoundary>
   );
 };