Update index.md

Author: hsanchez

index.md

@@ -16,10 +16,10 @@ Cruz](http://www.ucsc.edu/), working with [Jim Whitehead](http://users.soe.ucsc.
 
 I received my PhD in Computer Science from [UC Santa Cruz](http://www.ucsc.edu/)
 in December 2015, and my MS in Software Engineering from [San Jose State
-University](http://www.sjsu.edu/) in 2006. My research interests are broad, spanning
-**multi-AI collaboration optimization** and **[LLM chemistry estimation](https://arxiv.org/abs/2510.03930)**
+University](http://www.sjsu.edu/) in 2006. My research interests are broad. They lie at the intersection of AI and software engineering, spanning
+from **multi-AI collaboration optimization** and **[LLM chemistry estimation](https://arxiv.org/abs/2510.03930)**
 (LLM matchmaking) for complex, **compound AI tasks**; the use of **AI for coding automation**,
-**source code analysis**, and **social-cyber security**; and the application of automated
+**source code analysis**, and **social-cyber security**; to the application of automated
 **software engineering** principles to the development and deployment of **AI systems**. I study how
 emerging solutions in this space can *improve developer productivity*, *deepen our understanding of
 complex software systems*, and *enable the creation of more reliable and secure software*.