ADDRESS:  Andreas Schweizer  

Department of Mathematics Korea Advanced Institute of Science and Technology (KAIST) Daejeon 305701 SOUTH KOREA 

EMAIL: 
myfamilyname@kaist.ac.kr 

where myfamilyname should, of course, be replaced by my family name.  
PhD: 
Universität des Saarlandes, Saarbrücken, Germany, 1996, Supervisor: Prof. ErnstUlrich Gekeler 

RESEARCH INTERESTS: 
Algebraic Number Theory and Arithmetic Geometry, especially: arithmetic of function fields, Drinfeld modules and Drinfeld modular curves, elliptic curves and modular curves, quaternion algebras, noncongruence subgroups. Also: valuesharing of meromorphic functions. 
1. 
On the Drinfeld Modular Polynomial $\Phi_T(X,Y)$, J. Number Theory 52 (1995), 5368 (free access via journal) 
2. 
Modular automorphisms of the Drinfeld modular curves
$X_0({\frak n})$, Collectanea Math. 48 (1997), 209216 (free access via journal) 
3. 
On singular and supersingular invariants of Drinfeld
modules, Ann. Fac. Sci. Toulouse Math. 6 (1997), 319334 (free access via Numdam) 
4. 
Hyperelliptic Drinfeld Modular Curves, in: Drinfeld Modules, Modular Schemes and Applications, (E.U. Gekeler, M. van der Put, M. Reversat, J. Van Geel, eds.), World Scientific, Singapore, 1997, pp. 330343 
5. 
Involutory elliptic curves over ${\mathbb F}_q(T)$, J. Th\'eor. Nombres Bordeaux 10 (1998), 107123 (free access via Numdam) 
6. 
On elliptic curves over function fields of characteristic
two, J. Number Theory 87 (2001), 3153 (free access via journal) 
7. 
On elliptic curves in characteristic 2 with wild additive
reduction, Acta Arith. 91 (1999), 171180 (free access via Polish Virtual Library of Science) 
8. 
Extremal elliptic surfaces in characteristic 2 and 3,
Manuscripta Math. 102 (2000), 505521 
9. 
Bielliptic Drinfeld Modular Curves, Asian J. Math. vol. 5, no. 4 (December 2001), 705720 (free access via journal) 
10. 
On Drinfeld modular curves with many rational points over
finite fields, Finite Fields Appl. 8 (2002), 434443 (free access via journal) 
11. 
On the uniform boundedness conjecture for Drinfeld
modules, Math. Z. 244 (2003), 601614 
12. 
(with A.W. Mason) The minimum index of a
noncongruence subgroup of $SL_2$ over an arithmetic domain, Israel J. Math. 133 (2003), 2944 
13. 
Torsion of Drinfeld modules and gonality, Forum Math. 16 (2004), 925941 
14. 
On periodic points under the iteration of additive
polynomials, Manuscripta Math. 113 (2004), 2534 
15. 
(with Daeyeol Jeon and Chang Heon Kim) On the torsion
of elliptic curves over cubic number fields, Acta Arith. 113 (2004), 291301 (free acces via journal) 
16. 
On the $p^e$torsion of elliptic curves and elliptic
surfaces in characteristic $p$, Trans. Amer. Math. Soc. 357 no. 3 (2005), 10471059 (free access via journal) 
17. 
(with A.W. Mason) The minimum index of a
noncongruence subgroup of $SL_2$ over an arithmetic domain. II: The rank zero cases, J. London Math. Soc. 71 (2005), 5368 
18. 
Shared values of meromorphic
functions on compact Riemann surfaces, Arch. Math. (Basel) 84 (2005), 7178 
19. 
(with A.W. Mason) Nonstandard
automorphisms and noncongruence subgroups of $SL_2$ over Dedekind domains contained in function fields, J. Pure Appl. Algebra 205 (2006), 189209 (free access via journal) 
20. 
(with Matthias Schütt ) On
DavenportStothers inequalities and elliptic surfaces in positive
characteristic, Quarterly J. Math. (Oxford) 59 (2008), 499522 (article in preprintarXiv) 
21. 
(with A.W. Mason) Nonrational
genus zero function fields and the BruhatTits tree, Communications in Algebra 37 no. 12 (2009), 42414258 (article in preprintarXiv) 
22. 
Valuesharing of meromorphic functions on a
Riemann surface, J. Math. Anal. Appl. 365 (2010), 220228 (article in preprintarXiv) (free access via journal) 
23. 
Strong Weil curves over
${\mathbb F}_q(T)$
with small conductor, J. Number Theory 131 (2011), 285299 (article in preprintarXiv) (free access via journal) 
24. 
(with A.W. Mason) The cusp
amplitudes and quasilevel of a congruence subgroup of $SL_2$ over any Dedekind domain, Proc. London Math. Soc. 105 (2012), 311341 (article in preprintarXiv) 
25. 
On the uniqueness of $(p,h)$gonal automorphisms of Riemann surfaces, 
26. 
(with Matthias Schütt) On the uniqueness of elliptic K3 surfaces with maximal singular fibre, Ann. Inst. Fourier (Grenoble) 63 no. 2 (2013), 689713 (article in preprintarXiv) 
27. 
Entire functions sharing simple $a$points with their first derivative, Houston J. Math. 39 no. 4 (2013), 11371148 (article in preprintarXiv) (journalversion) Please note that the address and email given in the journal article are out of date. 
28. 
(with
A.W. Mason) The stabilizers in a Drinfeld modular group of the vertices
of its BruhatTits tree: an elementary approach, Internat. J. Algebra Comput. 23 no. 7 (2013), 16531683 (article in preprintarXiv) 
29. 
(with HsiuLien Huang and Julie TzuYueh Wang) On the exponential localglobal principle for meromorphic functions and algebraic functions, Arch. Math. (Basel) 102 (2014), 423436 (article in preprintarXiv) 
30. 
(with
A.W. Mason) Elliptic points of the Drinfeld modular groups,
Math. Z. 279 issue 34 (2015), 10071028 (article in preprintarXiv) 
31. 
(with A.W. Mason) Genuine noncongruence subgroups of Drinfeld modular groups, J. Pure Appl. Algebra 220 issue 10 (2016), 33453362 (article in preprintarXiv) 
32. 
Entire functions sharing simple apoints with their first derivative II, preprint (article in preprintarXiv) 
33. 
Some remarks on bielliptic and trigonal curves, preprint (article in preprintarXiv) 
34. 
On the exponent of the automorphism group of a compact Riemann surface, preprint, (article in preprintarXiv) 
Survey articles:  
1.  Some applications of Drinfeld modular curves  pp. 16  Trends in Mathematics, vol. 4, no 2 (December 2001), KAIST, Taejon 