diff --git a/package.json b/package.json
index 8777a1ab..0a1bc195 100644
--- a/package.json
+++ b/package.json
@@ -46,7 +46,7 @@
     "react-tippy": "^1.4.0",
     "reading-time": "^1.5.0",
     "rehype-autolink-headings": "^7.0.0",
-    "rehype-katex": "^6.0.3",
+    "rehype-katex": "^7.0.0",
     "rehype-pretty-code": "^0.10.1",
     "rehype-slug": "^6.0.0",
     "remark-gfm": "^3.0.1",
diff --git a/yarn.lock b/yarn.lock
index f4ab76c3..0e73d579 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -1933,10 +1933,10 @@
   resolved "https://registry.yarnpkg.com/@types/katex/-/katex-0.11.1.tgz#34de04477dcf79e2ef6c8d23b41a3d81f9ebeaf5"
   integrity sha512-DUlIj2nk0YnJdlWgsFuVKcX27MLW0KbKmGVoUHmFr+74FYYNUDAaj9ZqTADvsbE8rfxuVmSFc7KczYn5Y09ozg==
 
-"@types/katex@^0.14.0":
-  version "0.14.0"
-  resolved "https://registry.yarnpkg.com/@types/katex/-/katex-0.14.0.tgz#b84c0afc3218069a5ad64fe2a95321881021b5fe"
-  integrity sha512-+2FW2CcT0K3P+JMR8YG846bmDwplKUTsWgT2ENwdQ1UdVfRk3GQrh6Mi4sTopy30gI8Uau5CEqHTDZ6YvWIUPA==
+"@types/katex@^0.16.0":
+  version "0.16.3"
+  resolved "https://registry.yarnpkg.com/@types/katex/-/katex-0.16.3.tgz#a341c89705145b7dd8e2a133b282a133eabe6076"
+  integrity sha512-CeVMX9EhVUW8MWnei05eIRks4D5Wscw/W9Byz1s3PA+yJvcdvq9SaDjiUKvRvEgjpdTyJMjQA43ae4KTwsvOPg==
 
 "@types/long@^4.0.1":
   version "4.0.2"
@@ -2731,7 +2731,7 @@ detect-libc@^2.0.0, detect-libc@^2.0.2:
   resolved "https://registry.yarnpkg.com/detect-libc/-/detect-libc-2.0.2.tgz#8ccf2ba9315350e1241b88d0ac3b0e1fbd99605d"
   integrity sha512-UX6sGumvvqSaXgdKGUsgZWqcUyIXZ/vZTrlRT/iobiKhGL0zL4d3osHj3uqllWJK+i+sixDS/3COVEOFbupFyw==
 
-devlop@^1.0.0:
+devlop@^1.0.0, devlop@^1.1.0:
   version "1.1.0"
   resolved "https://registry.yarnpkg.com/devlop/-/devlop-1.1.0.tgz#4db7c2ca4dc6e0e834c30be70c94bbc976dc7018"
   integrity sha512-RWmIqhcFf1lRYBvNmr7qTNuyCt/7/ns2jbpp1+PalgE/rDQcBT0fioSMUpJ93irlUhC5hrg4cYqe6U+0ImW0rA==
@@ -3645,33 +3645,36 @@ hash-wasm@^4.9.0:
   resolved "https://registry.yarnpkg.com/hash-wasm/-/hash-wasm-4.9.0.tgz#7e9dcc9f7d6bd0cc802f2a58f24edce999744206"
   integrity sha512-7SW7ejyfnRxuOc7ptQHSf4LDoZaWOivfzqw+5rpcQku0nHfmicPKE51ra9BiRLAmT8+gGLestr1XroUkqdjL6w==
 
-hast-util-from-dom@^4.0.0:
-  version "4.2.0"
-  resolved "https://registry.yarnpkg.com/hast-util-from-dom/-/hast-util-from-dom-4.2.0.tgz#25836ddecc3cc0849d32749c2a7aec03e94b59a7"
-  integrity sha512-t1RJW/OpJbCAJQeKi3Qrj1cAOLA0+av/iPFori112+0X7R3wng+jxLA+kXec8K4szqPRGI8vPxbbpEYvvpwaeQ==
+hast-util-from-dom@^5.0.0:
+  version "5.0.0"
+  resolved "https://registry.yarnpkg.com/hast-util-from-dom/-/hast-util-from-dom-5.0.0.tgz#d32edd25bf28f4b178b5ae318f8d05762e67bd16"
+  integrity sha512-d6235voAp/XR3Hh5uy7aGLbM3S4KamdW0WEgOaU1YoewnuYw4HXb5eRtv9g65m/RFGEfUY1Mw4UqCc5Y8L4Stg==
   dependencies:
-    hastscript "^7.0.0"
+    "@types/hast" "^3.0.0"
+    hastscript "^8.0.0"
     web-namespaces "^2.0.0"
 
-hast-util-from-html-isomorphic@^1.0.0:
-  version "1.0.0"
-  resolved "https://registry.yarnpkg.com/hast-util-from-html-isomorphic/-/hast-util-from-html-isomorphic-1.0.0.tgz#592b2bea880d476665b76ca1cf7d1a94925c80ec"
-  integrity sha512-Yu480AKeOEN/+l5LA674a+7BmIvtDj24GvOt7MtQWuhzUwlaaRWdEPXAh3Qm5vhuthpAipFb2vTetKXWOjmTvw==
+hast-util-from-html-isomorphic@^2.0.0:
+  version "2.0.0"
+  resolved "https://registry.yarnpkg.com/hast-util-from-html-isomorphic/-/hast-util-from-html-isomorphic-2.0.0.tgz#b31baee386a899a2472326a3c5692f29f86d1d3c"
+  integrity sha512-zJfpXq44yff2hmE0XmwEOzdWin5xwH+QIhMLOScpX91e/NSGPsAzNCvLQDIEPyO2TXi+lBmU6hjLIhV8MwP2kw==
   dependencies:
-    "@types/hast" "^2.0.0"
-    hast-util-from-dom "^4.0.0"
-    hast-util-from-html "^1.0.0"
-    unist-util-remove-position "^4.0.0"
+    "@types/hast" "^3.0.0"
+    hast-util-from-dom "^5.0.0"
+    hast-util-from-html "^2.0.0"
+    unist-util-remove-position "^5.0.0"
 
-hast-util-from-html@^1.0.0:
-  version "1.0.1"
-  resolved "https://registry.yarnpkg.com/hast-util-from-html/-/hast-util-from-html-1.0.1.tgz#907a723b3405921efb3339a12bc6481d8ba92925"
-  integrity sha512-ehTy+4Lz1YAVF6enEuL9QFUHqJKRxAc8a7KACyhawY+YqTG5pLkrBHfykXELEy75N601fHDr36HIqCGSNxmgZw==
+hast-util-from-html@^2.0.0:
+  version "2.0.1"
+  resolved "https://registry.yarnpkg.com/hast-util-from-html/-/hast-util-from-html-2.0.1.tgz#9cd38ee81bf40b2607368b92a04b0905fa987488"
+  integrity sha512-RXQBLMl9kjKVNkJTIO6bZyb2n+cUH8LFaSSzo82jiLT6Tfc+Pt7VQCS+/h3YwG4jaNE2TA2sdJisGWR+aJrp0g==
   dependencies:
-    "@types/hast" "^2.0.0"
-    hast-util-from-parse5 "^7.0.0"
+    "@types/hast" "^3.0.0"
+    devlop "^1.1.0"
+    hast-util-from-parse5 "^8.0.0"
     parse5 "^7.0.0"
-    vfile "^5.0.0"
+    vfile "^6.0.0"
+    vfile-message "^4.0.0"
 
 hast-util-from-parse5@^7.0.0:
   version "7.1.1"
@@ -3686,6 +3689,20 @@ hast-util-from-parse5@^7.0.0:
     vfile-location "^4.0.0"
     web-namespaces "^2.0.0"
 
+hast-util-from-parse5@^8.0.0:
+  version "8.0.1"
+  resolved "https://registry.yarnpkg.com/hast-util-from-parse5/-/hast-util-from-parse5-8.0.1.tgz#654a5676a41211e14ee80d1b1758c399a0327651"
+  integrity sha512-Er/Iixbc7IEa7r/XLtuG52zoqn/b3Xng/w6aZQ0xGVxzhw5xUFxcRqdPzP6yFi/4HBYRaifaI5fQ1RH8n0ZeOQ==
+  dependencies:
+    "@types/hast" "^3.0.0"
+    "@types/unist" "^3.0.0"
+    devlop "^1.0.0"
+    hastscript "^8.0.0"
+    property-information "^6.0.0"
+    vfile "^6.0.0"
+    vfile-location "^5.0.0"
+    web-namespaces "^2.0.0"
+
 hast-util-heading-rank@^2.1.0:
   version "2.1.0"
   resolved "https://registry.yarnpkg.com/hast-util-heading-rank/-/hast-util-heading-rank-2.1.0.tgz#c39f34fa8330ebfec03a08b5d5019ed56122029c"
@@ -3700,14 +3717,6 @@ hast-util-heading-rank@^3.0.0:
   dependencies:
     "@types/hast" "^3.0.0"
 
-hast-util-is-element@^2.0.0:
-  version "2.1.3"
-  resolved "https://registry.yarnpkg.com/hast-util-is-element/-/hast-util-is-element-2.1.3.tgz#cd3279cfefb70da6d45496068f020742256fc471"
-  integrity sha512-O1bKah6mhgEq2WtVMk+Ta5K7pPMqsBBlmzysLdcwKVrqzZQ0CHqUPiIVspNhAG1rvxpvJjtGee17XfauZYKqVA==
-  dependencies:
-    "@types/hast" "^2.0.0"
-    "@types/unist" "^2.0.0"
-
 hast-util-is-element@^3.0.0:
   version "3.0.0"
   resolved "https://registry.yarnpkg.com/hast-util-is-element/-/hast-util-is-element-3.0.0.tgz#6e31a6532c217e5b533848c7e52c9d9369ca0932"
@@ -3722,6 +3731,13 @@ hast-util-parse-selector@^3.0.0:
   dependencies:
     "@types/hast" "^2.0.0"
 
+hast-util-parse-selector@^4.0.0:
+  version "4.0.0"
+  resolved "https://registry.yarnpkg.com/hast-util-parse-selector/-/hast-util-parse-selector-4.0.0.tgz#352879fa86e25616036037dd8931fb5f34cb4a27"
+  integrity sha512-wkQCkSYoOGCRKERFWcxMVMOcYE2K1AaNLU8DXS9arxnLOUEWbOXKXiJUNzEpqZ3JOKpnha3jkFrumEjVliDe7A==
+  dependencies:
+    "@types/hast" "^3.0.0"
+
 hast-util-raw@^7.0.0:
   version "7.2.3"
   resolved "https://registry.yarnpkg.com/hast-util-raw/-/hast-util-raw-7.2.3.tgz#dcb5b22a22073436dbdc4aa09660a644f4991d99"
@@ -3803,15 +3819,15 @@ hast-util-to-string@^3.0.0:
   dependencies:
     "@types/hast" "^3.0.0"
 
-hast-util-to-text@^3.1.0:
-  version "3.1.2"
-  resolved "https://registry.yarnpkg.com/hast-util-to-text/-/hast-util-to-text-3.1.2.tgz#ecf30c47141f41e91a5d32d0b1e1859fd2ac04f2"
-  integrity sha512-tcllLfp23dJJ+ju5wCCZHVpzsQQ43+moJbqVX3jNWPB7z/KFC4FyZD6R7y94cHL6MQ33YtMZL8Z0aIXXI4XFTw==
+hast-util-to-text@^4.0.0:
+  version "4.0.0"
+  resolved "https://registry.yarnpkg.com/hast-util-to-text/-/hast-util-to-text-4.0.0.tgz#7f33a45d0bf7981ead44e82d9d8d75f511b3642f"
+  integrity sha512-EWiE1FSArNBPUo1cKWtzqgnuRQwEeQbQtnFJRYV1hb1BWDgrAlBU0ExptvZMM/KSA82cDpm2sFGf3Dmc5Mza3w==
   dependencies:
-    "@types/hast" "^2.0.0"
-    "@types/unist" "^2.0.0"
-    hast-util-is-element "^2.0.0"
-    unist-util-find-after "^4.0.0"
+    "@types/hast" "^3.0.0"
+    "@types/unist" "^3.0.0"
+    hast-util-is-element "^3.0.0"
+    unist-util-find-after "^5.0.0"
 
 hast-util-whitespace@^2.0.0:
   version "2.0.1"
@@ -3829,6 +3845,17 @@ hastscript@^7.0.0:
     property-information "^6.0.0"
     space-separated-tokens "^2.0.0"
 
+hastscript@^8.0.0:
+  version "8.0.0"
+  resolved "https://registry.yarnpkg.com/hastscript/-/hastscript-8.0.0.tgz#4ef795ec8dee867101b9f23cc830d4baf4fd781a"
+  integrity sha512-dMOtzCEd3ABUeSIISmrETiKuyydk1w0pa+gE/uormcTpSYuaNJPbX1NU3JLyscSLjwAQM8bWMhhIlnCqnRvDTw==
+  dependencies:
+    "@types/hast" "^3.0.0"
+    comma-separated-tokens "^2.0.0"
+    hast-util-parse-selector "^4.0.0"
+    property-information "^6.0.0"
+    space-separated-tokens "^2.0.0"
+
 html-void-elements@^2.0.0:
   version "2.0.1"
   resolved "https://registry.yarnpkg.com/html-void-elements/-/html-void-elements-2.0.1.tgz#29459b8b05c200b6c5ee98743c41b979d577549f"
@@ -5722,17 +5749,18 @@ rehype-autolink-headings@^7.0.0:
     unified "^11.0.0"
     unist-util-visit "^5.0.0"
 
-rehype-katex@^6.0.3:
-  version "6.0.3"
-  resolved "https://registry.yarnpkg.com/rehype-katex/-/rehype-katex-6.0.3.tgz#83e5b929b0967978e9491c02117f55be3594d7e1"
-  integrity sha512-ByZlRwRUcWegNbF70CVRm2h/7xy7jQ3R9LaY4VVSvjnoVWwWVhNL60DiZsBpC5tSzYQOCvDbzncIpIjPZWodZA==
+rehype-katex@^7.0.0:
+  version "7.0.0"
+  resolved "https://registry.yarnpkg.com/rehype-katex/-/rehype-katex-7.0.0.tgz#f5e9e2825981175a7b0a4d58ed9816c33576dfed"
+  integrity sha512-h8FPkGE00r2XKU+/acgqwWUlyzve1IiOKwsEkg4pDL3k48PiE0Pt+/uLtVHDVkN1yA4iurZN6UES8ivHVEQV6Q==
   dependencies:
-    "@types/hast" "^2.0.0"
-    "@types/katex" "^0.14.0"
-    hast-util-from-html-isomorphic "^1.0.0"
-    hast-util-to-text "^3.1.0"
+    "@types/hast" "^3.0.0"
+    "@types/katex" "^0.16.0"
+    hast-util-from-html-isomorphic "^2.0.0"
+    hast-util-to-text "^4.0.0"
     katex "^0.16.0"
-    unist-util-visit "^4.0.0"
+    unist-util-visit-parents "^6.0.0"
+    vfile "^6.0.0"
 
 rehype-pretty-code@^0.10.1:
   version "0.10.1"
@@ -6526,13 +6554,13 @@ unist-builder@^3.0.0:
   dependencies:
     "@types/unist" "^2.0.0"
 
-unist-util-find-after@^4.0.0:
-  version "4.0.1"
-  resolved "https://registry.yarnpkg.com/unist-util-find-after/-/unist-util-find-after-4.0.1.tgz#80c69c92b0504033638ce11973f4135f2c822e2d"
-  integrity sha512-QO/PuPMm2ERxC6vFXEPtmAutOopy5PknD+Oq64gGwxKtk4xwo9Z97t9Av1obPmGU0IyTa6EKYUfTrK2QJS3Ozw==
+unist-util-find-after@^5.0.0:
+  version "5.0.0"
+  resolved "https://registry.yarnpkg.com/unist-util-find-after/-/unist-util-find-after-5.0.0.tgz#3fccc1b086b56f34c8b798e1ff90b5c54468e896"
+  integrity sha512-amQa0Ep2m6hE2g72AugUItjbuM8X8cGQnFoHk0pGfrFeT9GZhzN5SW8nRsiGKK7Aif4CrACPENkA6P/Lw6fHGQ==
   dependencies:
-    "@types/unist" "^2.0.0"
-    unist-util-is "^5.0.0"
+    "@types/unist" "^3.0.0"
+    unist-util-is "^6.0.0"
 
 unist-util-generated@^2.0.0:
   version "2.0.1"
@@ -6573,6 +6601,14 @@ unist-util-remove-position@^4.0.0:
     "@types/unist" "^2.0.0"
     unist-util-visit "^4.0.0"
 
+unist-util-remove-position@^5.0.0:
+  version "5.0.0"
+  resolved "https://registry.yarnpkg.com/unist-util-remove-position/-/unist-util-remove-position-5.0.0.tgz#fea68a25658409c9460408bc6b4991b965b52163"
+  integrity sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==
+  dependencies:
+    "@types/unist" "^3.0.0"
+    unist-util-visit "^5.0.0"
+
 unist-util-stringify-position@^3.0.0:
   version "3.0.3"
   resolved "https://registry.yarnpkg.com/unist-util-stringify-position/-/unist-util-stringify-position-3.0.3.tgz#03ad3348210c2d930772d64b489580c13a7db39d"
@@ -6674,6 +6710,14 @@ vfile-location@^4.0.0:
     "@types/unist" "^2.0.0"
     vfile "^5.0.0"
 
+vfile-location@^5.0.0:
+  version "5.0.2"
+  resolved "https://registry.yarnpkg.com/vfile-location/-/vfile-location-5.0.2.tgz#220d9ca1ab6f8b2504a4db398f7ebc149f9cb464"
+  integrity sha512-NXPYyxyBSH7zB5U6+3uDdd6Nybz6o6/od9rk8bp9H8GR3L+cm/fC0uUTbqBmUTnMCUDslAGBOIKNfvvb+gGlDg==
+  dependencies:
+    "@types/unist" "^3.0.0"
+    vfile "^6.0.0"
+
 vfile-message@^3.0.0:
   version "3.1.3"
   resolved "https://registry.yarnpkg.com/vfile-message/-/vfile-message-3.1.3.tgz#1360c27a99234bebf7bddbbbca67807115e6b0dd"