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Mathematics Department Welcomes Bouchat and Cao to Faculty

The Mathematics Department welcomes Rachelle Bouchat and Yongtao Cao to the faculty.

Shelly BouchatRachelle (Shelly) Bouchat was born and raised in Butler County, Pennsylvania. She obtained her bachelor’s degree in mathematics with a minor in computer science from the University of Pittsburgh at Johnstown in 2003. She then went on to obtain her master’s and doctoral degrees in mathematics at the University of Kentucky. Upon completing her doctoral degree in 2008, Bouchat accepted a position at Slippery Rock University where she worked until 2014, earning tenure. 

Bouchat’s research area is combinatorial commutative algebra, where she currently studies path ideals and the algebraic properties of these ideals relating to their minimal free resolutions. She also studies different board games and attempts to model them mathematically. 

Other mathematical interests of Bouchat’s include the mathematics of origami as well as the mathematics of knitting. In her spare time, you can find Bouchat doing any number of things. She loves playing musical instruments and has played the violin/fiddle for many years, and in recent years she has been taking time to learn piano, ukulele, and even the accordion. Bouchat also loves playing board games, with Settlers of Catan, Ticket to Ride, and Carcassonne being some of her current favorites. Bouchat also loves painting and drawing and is an avid knitter! Through all of these things, she enjoys spending time with her dog, Calvin.

Yongtao CaoYongtao Cao was born in north China. He received his BA and MA degrees in economics from universities in China. He then received his master’s degree in statistics from the University of North Florida in 2009. In 2014, Yongtao completed his studies at University of Wyoming and received his PhD in statistics.

His research interests lie in the area of statistical science, ranging from multi-objective optimization to optimal experimental design to statistical computing and to data visualization and analysis.

Yongtao loves traditional Chinese culture and medicine. He also enjoys playing (poorly) and watching badminton, hiking, and enjoying many kinds of tea. Yongtao is married, and he and his wife have one daughter.

Department of Mathematics

  • Mathematics Department
  • Stright Hall, Room 233
    210 South Tenth Street
    Indiana, PA 15705
  • Phone: 724-357-2608
  • Fax: 724-357-7908
  • Office Hours
  • Monday through Friday
  • 8:00 a.m. – 12:00 p.m.
  • 1:00 p.m. – 4:30 p.m.