Number theory and arithmetic geometry. I'm interested in elliptic
curves and Drinfeld modules, and I work in transcendental number
theory related to special values of analytic functions. In particular
I work on special values of L-series, modular forms, and
hypergeometric functions, and their connections with periods and
logarithms.
Chalinee Khaochim, Ph.D. expected 2021, Texas A&M University
"Rigid analytic trivializations and periods of Drinfeld modules and their tensor products"
Changningphaabi Namoijam, Ph.D. 2020, Texas A&M University
"Hyperderivatives of periods and logarithms of Anderson t-modules, and algebraic independence"
Oğuz Gezmiş, Ph.D. 2019,
Texas A&M University
"Special values of L-series over Tate algebras" [ TAMU Library ]
Nathan Green, Ph.D. 2018,
Texas A&M University
"Tensor powers of Drinfeld modules and zeta values" [ TAMU Library ]
Guchao Zeng, Ph.D. 2017, Texas A&M University
"Theta operators on v-adic modular forms and v-adic families of Goss polynomials and Eisenstein series" [ TAMU
Library ]
Detchat Samart, Ph.D.
2014, Texas A&M University
"Mahler measures of hypergeometric families of Calabi-Yau varieties"
[ TAMU
Library ]
Brad Lutes, Ph.D. 2010,
Texas A&M University
"Special values of the Goss L-function and special polynomials"
[ TAMU
Library | PDF ]
Valentina Vega, Ph.D. 2009,
Texas A&M University
"Hypergeometric functions over finite fields and their relations
to algebraic curves" [ TAMU
Library ]
Jenny
Fuselier, Ph.D. 2007, Texas A&M University
"Hypergeometric functions over finite fields and relations to
modular forms and elliptic curves" [ TAMU
Library ]