Add the Compiler Research projects for GSoC (#1649)

* Add the Compiler Research projects for GSoC

* Add links

---------

Co-authored-by: Valentin Volkl <[email protected]>

Author: aaronj0

_gsocorgs/2025/compres.md

@@ -0,0 +1,11 @@
+---
+title: "Compiler Research"
+author: "Vassil Vassilev"
+layout: default
+organization: CompRes
+logo: CompRes-logo.png
+description: |
+  The Compiler Research Group is a group of programming language enthusiasts at Princeton University and CERN. It's primary goal is to research foundational software tools that help scientists program for speed, interoperability, interactivity, flexibility, and reproducibility.
+---
+
+{% include gsoc_proposal.ext %}

_gsocprojects/2025/project_Clad.md

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+---
+project: Clad
+layout: default
+logo: Clad-logo.png
+description: |
+  [Clad](https://clad.readthedocs.io/en/latest/) enables 
+  automatic differentiation (AD) for C++. It is based on LLVM compiler 
+  infrastructure and is a plugin for Clang compiler. Clad is based on 
+  source code transformation. Given C++ source code of a mathematical 
+  function, it can automatically generate C++ code for computing derivatives
+  of the function.
+summary: |
+  Clad is an automatic differentiation (AD) tool for C++
+---
+
+{% include gsoc_project.ext %}
+

_gsocprojects/2025/project_Cppyy.md

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+---
+project: Cppyy
+layout: default
+logo: Cppyy-logo.png
+description: |
+  [Cppyy](https://cppyy.readthedocs.io/en/latest/) is an automatic, run-time,
+  Python-C++ bindings generator, for calling C++ from Python and Python from
+  C++. Run-time generation enables detailed specialization for higher
+  performance, lazy loading for reduced memory use in large scale projects,
+  Python-side cross-inheritance and callbacks for working with C++ frameworks,
+  run-time template instantiation, automatic object downcasting, exception
+  mapping, and interactive exploration of C++ libraries. cppyy delivers
+  this without any language extensions, intermediate languages, or the need
+  for boiler-plate hand-written code.
+summary: |
+  [Cppyy](https://cppyy.readthedocs.io/en/latest/) is an automatic, run-time, Python-C++ bindings generator, for calling
+  C++ from Python and Python from C++.
+---
+
+{% include gsoc_project.ext %}

_gsocprojects/2025/project_Xeus-Cpp.md

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+---
+project: Xeus-Cpp
+layout: default
+logo: Xeus-Cpp-logo.png
+description: |
+  [Xeus-Cpp](https://xeus-cpp.readthedocs.io/en/latest/index.html) is a Jupyter kernel
+  for cpp based on the native implementation of the Jupyter protocol xeus. This enables users to
+  write and execute C++ code interactively, seeing the results immediately. This REPL (read-eval-print-loop)
+  nature allows rapid prototyping and iterations without the overhead of compiling and running separate C++ programs.
+  This also achieves C++ and Python integration within a single Jupyter environment.
+summary: |
+  [Xeus-Cpp](https://xeus-cpp.readthedocs.io/en/latest/index.html) is a Jupyter kernel for C++ based on the native implementation of the Jupyter protocol [xeus](https://github.com/jupyter-xeus/xeus).
+---
+
+{% include gsoc_project.ext %}