I have research interests in number theory and arithmetic geometry. I'm interested in elliptic curves and Drinfeld modules, and in particular I work on special values of analytic functions, including L-series, modular forms, and hypergeometric functions, and their connections with periods and logarithms.
- Ph.D. in Mathematics, Brown University - (Providence, Rhode Island, United States) 1998
- Sc.M. in Mathematics, Brown University - (Providence, Rhode Island, United States) 1993
- A.B. in Mathematics, Amherst College - (Amherst Center, Massachusetts, United States) 1992
- Chang, C., Papanikolas, M. A., & Yu, J. (2019). An effective criterion for Eulerian multizeta values in positive characteristic. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 21(2), 405-440.
- Chang, C. Y., El-Guindy, A., & Papanikolas, M. A. (2018). Log-algebraic identities on Drinfeld modules and special L-values. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 97(2), 125-144.
- Papanikolas, M. A., & Zeng, G. (2017). Theta operators, goss polynomials, and v-adic modular forms. Journal de Théorie des Nombres de Bordeaux. 29(3), 729-753.
- McCarthy, D., & Papanikolas, M. A. (2015). A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. INTERNATIONAL JOURNAL OF NUMBER THEORY. 11(8), 2431-2450.
- El-Guindy, A., & Papanikolas, M. A. (2014). Identities for Anderson generating functions for Drinfeld modules. MONATSHEFTE FUR MATHEMATIK. 173(4), 471-493.
- Ono, K., & Papanikolas, M. A. (2004). p-adic properties of values of the modular j-function. Developments in Mathematics. 11, 357-365.
- Ono, K., & Papanikolas, M. A. (2002). Quadratic twists of modular forms and elliptic curves. 73-85.
- Samart, Detchat (2014-08). Mahler Measures of Hypergeometric Families of Calabi-Yau Varieties. (Doctoral Dissertation)
- Lutes, Brad Aubrey (2010-08). Special Values of the Goss L-function and Special Polynomials. (Doctoral Dissertation)
- Vega Veglio, Maria V. (2009-05). Hypergeometric functions over finite fields and their relations to algebraic curves.. (Doctoral Dissertation)
- Fuselier, Jenny G. (2007-08). Hypergeometric functions over finite fields and relations to modular forms and elliptic curves. (Doctoral Dissertation)