Dr. Lee Troupe

Dr. Lee Troupe has been a member of the Mathematics Department at Mercer University since August 2019. Before coming to Mercer, he held a postdoctoral fellowship at the University of British Columbia in Vancouver, B.C., followed by another postdoctoral fellowship at the University of Lethbridge in Lethbridge, Alberta.

Education

• Ph.D., Mathematics, University of Georgia
• B.S., Mathematics, University of Tennessee

Specialty

Number theory

Professional Interests

Dr. Troupe’s research focuses on arithmetic functions — functions that, when fed a whole number, produce an interesting property of that number. For example, the sum-of-proper-divisors function, when given a whole number n, adds up the numbers that divide evenly into n. More precisely, Dr. Troupe likes to think about the statistics of values of these arithmetic functions, e.g. their average and typical size, the distribution of these values, etc.

Other Interests

Dr. Troupe has recently become obsessed with crossword puzzles. He also enjoys sports (particularly baseball and football), computer games, and cooking.

Recent Publications

• The distribution of the number of subgroups of the multiplicative groups (with G. Martin) – 2018
• Two problems concerning irreducible elements in rings of integers of number fields (with P. Pollack) – 2017
• Orders of reductions of elliptic curves with many and few prime factors – 2017
• Bounded gaps between prime polynomials with a given primitive root – 2016
• On the number of prime factors of values of the sum-of-proper-divisors function – 2015

Contact Dr. Lee Troupe

(478) 301-4184
troupe_lt@mercer.edu
Office: Ware Hall, Room 110A