The PCMI is a chapter of the Institute for Advanced Study located in Princeton, New Jersey.
Catherine Giesbrecht, PCMI program manager, said the program represents the broader mathematical community.
According to Giesbrecht, the research topics vary each year and attract mathematicians from around the world. This year, more than 350 mathematicians will attend the program that lasts through July 23.
"It's a huge thing for the graduate students. The experience is very intense with some programs including three lectures and two problem-solving sessions per day," Giesbrecht said.
This year 50 to 55 teachers registered for the Secondary School Teachers Program and 40 to 45 students registered for the Undergraduate Faculty Program.
The Summer Session offers seven different courses including: The Clay Senior Scholars in Residence, Graduate Summer School, International Seminar in Mathematics Education, Research Program in Mathematics, Secondary School Teachers Program, and Service, Teaching and Research in Mathematic Education, Undergraduate Faculty Program, and Undergraduate Summer School.
According to Giesbrecht, it's a great way for teachers to rediscover why they like teaching math in the first place.
"It's a huge professional shot in the arm. There is a lot of interaction some natural and some fostered," Giesbrecht said.
Although the PCMI is an intense three-week program, it does offer participants some down time. The program gives students Saturday, Sunday and Wednesday afternoons off.
According to Giesbrecht, group hikes, the PCMI World Cup soccer tournament and pizza and problem-solving sessions are annual traditions that many participants look forward to each year.
John Sands, General Manager of The Prospector said the summer business from the group is welcome along with being 100 percent occupied for three weeks.
"There really are no gaps and solid revenue is great for the summer months. I don't know another group like this in Park City that stays for three weeks," Sands said.