Combinatorial formulas connected to Diagonal Harmonics and Mcdonald Polynomials

• Main Authors: Meesue Yoo, James Haglund, Tony Pantev, James Haglund Advisor
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Subjects: Haglund; Morse; sami; morse
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.1984; http://www.math.upenn.edu/grad/dissertations/MeesueYooThesis.pdf

My greatest and eternal thanks go to my academic advisor Jim Haglund who showed consistent encouragement and boundless support. His mathematical instinct was truly inspiring and this work was only possible with his guidance. My gratitude is everlasting. I am grateful to Jerry Kazdan and Jason Bandlow for kindly agreeing to serve on my dissertation committee, and Jennifer Morse, Sami Assaf and Antonella Grassi for graciously agreeing to write recommendation letters for me. I would also like to thank the faculty of the mathematics department for providing such a stimulating environment to study. I owe many thanks to the department secretaries, Janet, Monica, Paula and Robin. I was only able to finish the program with their professional help and cordial caring. I would like to thank my precious friends Elena and Enka for being on my side and encouraging me whenever I had hard times. I owe thanks to Daeun for being a friend whom I can share my emotions with, Tong for being a person whom I can share my little worries with, Tomoko, Sarah and John for being such comfortable friends whom I shared cups of tea with, and Min, Sieun and all other my college classmates for showing such cheers for me. My thanks also go to my adorable friends Soong and Jinhee for keeping unswerving friendship with me. My most sincere thanks go to my family, Hyun Suk Lee, Young Yoo, Mi Jeong Yoo and Cheon Gum Yoo, for their unconditional support and constant encouragement. I could not have made all the way through without their love and faith in me.