small fixes

index.html

@@ -152,12 +152,12 @@ <h1>Xiaoyu Chen 陈晓雨</h1>
         <h2>About Me</h2>
         <p>I am a third-year computer science undergraduate student at Peking University, enrolled in the <a href="https://cfcs.pku.edu.cn/english/research/turing_program/introduction1/index.htm">Turing Class</a> Honors Program.</p>
         <p>During my undergraduate studies, I have been fortunate to be advised by <a href="https://www.shaofengjiang.cn/">Shaofeng Jiang</a>, <a href="https://www.tongyangli.com/">Tongyang Li</a>, <a href="https://www.kuancheng88.com/">Kuan Cheng</a>, and <a href="https://liutianren.com/">Tianren Liu</a>, among others.</p>
-        <p>Currently, I am visiting Toyota Technological Institute at Chicago (<a href="https://ttic.edu/">TTIC</a>) as an intern student, advised by <a href="https://www.ttic.edu/faculty/li/">Zhiyuan Li</a>.</p>
+        <p>Currently, I am visiting Toyota Technological Institute at Chicago (<a href="https://ttic.edu/">TTIC</a>) as an intern, advised by <a href="https://www.ttic.edu/faculty/li/">Zhiyuan Li</a>.</p>
     </section>
 
     <section id="research">
         <h2>Research</h2>
-        <p>I am broadly interested in understanding modern deep learning methods through a combination of theoretical and empirical analysis, with a current focus on the optimization of transformers.</p>
+        <p>I am broadly interested in understanding modern deep learning methods through a combination of theoretical and empirical analysis, with a current focus on optimization of transformers.</p>
         <p>Previously, I worked on theoretical computer science (TCS), mainly on the topics of clustering algorithms.</p>
     </section>
 
@@ -204,7 +204,7 @@ <h2>Teaching</h2>
               <div class="details">
                   <span class="position">Teaching Assistant for </span>
                   <span class="course">Discrete Mathematics and Structures</span>
-                  (by <a href="https://liutianren.com/">Prof. Tianren Liu</a>), Peking University.
+                  (taught by <a href="https://liutianren.com/">Prof. Tianren Liu</a>), Peking University.
               </div>
           </div>
       </div>