papanikolas@tamu.edu
Citizenship: USA
Place of birth: Tucson, Arizona
[1]  Logalgebraicity on tensor powers of the Carlitz module
and special values of Goss Lfunctions in preparation. 

[2]  Logalgebraic identities on Drinfeld modules and special Lvalues
(with C.Y. Chang and A. ElGuindy) submitted for publication, 20 pages. 

[3]  Special Lvalues and shtuka functions for Drinfeld modules
on elliptic curves (with N. Green) submitted for publication, 45 pages. 

[4]  Theta operators, Goss polynomials, and vadic modular
forms (with G. Zeng) Journal de Théorie des Nombres de Bordeaux, accepted for publication, 20 pages. 

[5]  An effective criterion for Eulerian multizeta values in positive
characteristic (with C.Y. Chang and J. Yu) Journal of the European Mathematical Society, accepted for publication, 31 pages. 

[6]  A rapid introduction to Drinfeld modules, tmodules, and
tmotives (with W. D. Brownawell) tMotives: Hodge Structures, Transcendence, and Other Motivic Aspects (Banff, AB, 2009), to appear, 24 pages. 

[7]  A finite field hypergeometric function associated to eigenvalues
of a Siegel eigenform (with D. McCarthy) International Journal of Number Theory 11 (2015), no. 8, 24312450. 

[8]  Identities for Anderson generating functions for Drinfeld
modules (with A. ElGuindy) Monatshefte für Mathematik 173 (2014), no. 4, 471493. 

[9]  The Mahler measure of a CalabiYau threefold and special
Lvalues (with M. D. Rogers and D. Samart) Mathematische Zeitschrift 276 (2014), no. 34, 11511163. 

[10]  Explicit formulas for Drinfeld modules and their periods (with
A. ElGuindy) Journal of Number Theory 133 (2013), no. 6, 18641886. 

[11]  Algebraic independence of values of Goss Lfunctions
at s=1 (with B. A. Lutes) Journal of Number Theory 133 (2013), no. 3, 10001011. 

[12]  Algebraic independence of periods and logarithms of Drinfeld
modules (with C.Y. Chang and with an appendix by B. Conrad) Journal of the American Mathematical Society 25 (2012), no. 1, 123150. 

[13]  Algebraic relations among periods and logarithms of rank 2 Drinfeld
modules
(with C.Y. Chang) American Journal of Mathematics 133 (2011), no. 2, 359391. 

[14]  Frobenius difference equations and algebraic independence of
zeta values in positive equal characteristic (with C.Y. Chang and J. Yu) Algebra & Number Theory 5 (2011), no. 1, 111129. 

[15]  Algebraic independence of arithmetic gamma values and Carlitz zeta
values
(with C.Y. Chang, D. Thakur, and J. Yu) Advances in Mathematics 223 (2010), no. 4, 11371154. 

[16]  Geometric Gamma values and zeta values in positive characteristic
(with C.Y. Chang and J. Yu) International Mathematics Research Notices 2010 (2010), no. 8, 14321455. 

[17]  Tannakian duality for AndersonDrinfeld motives and
algebraic independence of Carlitz logarithms Inventiones Mathematicae 171 (2008), no. 1, 123174. 

[18]  On the torsion of Jacobians of principal modular curves of level
3^n (with C. Rasmussen) Archiv der Mathematik (Basel) 88 (2007), no. 1, 1928. 

[19]  A formula and a congruence for Ramanujan's taufunction
Proceedings of the American Mathematical Society, 134 (2006), no. 2, 333341. 

[20]  Extensions of abelian varieties defined over a number field (with
N. Ramachandran) Journal of Number Theory 112 (2005), no. 2, 386400. 

[21]  Determination of the algebraic relations among special
Gammavalues in positive characteristic
(with G. W. Anderson and W. D. Brownawell) Annals of Mathematics 160 (2004), no. 1, 237313. 

[22]  Combinatorics of traces of Hecke
operators (with S. Frechette and K. Ono)
Proceedings of the National Academy of Sciences, USA, 101 (2004), no. 49, 1701617020. 

[23]  Gaussian hypergeometric functions and traces of Hecke
operators (with S. Frechette and K. Ono)
International Mathematics Research Notices, 2004, no. 60, 32333262. 

[24]  padic properties of values of the modular
jfunction (with K. Ono) Galois Theory and Modular Forms, Dev. Math., 11, Kluwer, 2004, pp. 357366. 

[25]  Higher Weierstrass
points on X_0(p) (with S. Ahlgren) Transactions of the American Mathematical Society 355 (2003), no. 4, 15211535. 

[26]  A
WeilBarsotti formula for Drinfeld modules (with N. Ramachandran) Journal of Number Theory 98 (2003), no. 2, 407431. 

[27]  Universal norms on abelian varieties over global function
fields Journal of Number Theory 94 (2002), no. 2, 326342. 

[28]  Linear independence of Gamma values in positive characteristic (with W. D. Brownawell) Journal für die reine und angewandte Mathematik 549 (2002), 91148. 

[29]  Quadratic twists of
modular forms and elliptic curves (with K. Ono) Number Theory for the Millennium III (Urbana, IL, 2000), A. K. Peters, 2002, pp. 7385 

[30]  Canonical heights on elliptic curves in characteristic p
Compositio Mathematica 122 (2000), no. 3, 299313. 
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