Dr. Thanasis Bouganis


Research interests: (Non-commutative) Iwasawa Theory, Arithmetical Algebraic Geometry, Automorphic Forms.

I am assistant (wissenschaftlicher Assistent) of Professor Otmar Venjakob and member of the Arithmetic Geometry Group (Arithmetische Geometrie Gruppe) at the Mathematisches Institut of the University in Heidelberg.

The IWASAWA 2012 conference will take place in Heidelberg from July 30 to August 3, 2012.

From the 6th to the 12th of August I will be lecturing in the Sardinian Summer School in Iwasawa Theory.

Teaching:

Seminar(SS12): Iwasawa Theorie,

Hauptseminar on the Main Conjecture for elliptic cusp forms (after Skinner and Urban) .

CV in English: CV.

Publications:

Non abelian congruences between special values of L-functions of elliptic curves; the CM case, International Journal of Number Theory, Vol 7, No. 7 (2011), pp. 1883-1934,

(with O. Venjakob), On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication, Asian J. Math., vol 14 (3) (2010), pp 385-416,

Special values of L-functions and false Tate curve extensions, (with an appendix by V. Dokchitser), J. London Math. Soc., Vol. 82 (2), (2010), pp. 596-620,

(with V. Dokchitser), Algebraicity of L-values for elliptic curves in a false Tate curve tower, Math. Proc. Camb. Phil. Soc. Vol. 142 (2), (2007), pp. 193-204,

Error Correcting Codes over Algebraic Surfaces, In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science 2643, Springer 2003, pp. 169-179,

(with D. Coles), A Geometric View of Decoding Algebraic Geometric Codes, In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science 2643, Springer 2003, pp. 180-190,

(with I. Caragiannis, C. Kaklamanis), Implementation Issues and Experimental Study of a Wavelength Routing Algorithm for Irregular All-Optical Networks, Algorithm Engineering 1999, LNCS 1668, pp. 258-270.

Other publications:

Non abelian p-adic L-functions and Eisenstein series of unitary groups, in Algrebraic Number Theory, Oberwolfach Report (2011).

Submitted Work / Work in preparation:

Non-abelian p-adic L-functions and Eisenstein series of unitary groups; the CM method, 65 pages, submitted,

The Möbius-Wall congruences for p-adic L-functions of CM elliptic curves, 10 pages, submitted,

Non-abelian p-adic L-functions and Eisenstein series of unitary groups; the constant term method, in preparation,

(with F. Nuccio), Kongruenzen zwischen abelschen p-adischen pseudo-Massen und die Schintanische Zerlegung, in preparation.

Teaching in previous semesters:

Seminar(WS11): Darstellungstheorie endlicher Gruppen,

Seminar(WS11): Siegel'sche Modulformen.

Vorlesung(SS11): Algebra II.

Spezialvorlesung(WS10): Algebraische Codierungstheorie.

Spezialvorlesung(SS10): p-adische Lie Gruppen II (algebraische Theorie).

Hauptseminar(SS10): Modular Curves and the Eisenstein Ideal.

Spezialvorlesung(WS09): p-adische Lie Gruppen.

Hauptseminar(WS09): The Eigencurve.

Spezialvorlesung(SS09): Abelsche Varietäten II (algebraische Theorie).

Seminar(SS09): Algebraische Gruppen.

Spezialvorlesung(WS08): Abelsche Varietäten (analytische Theorie).

Seminar(WS08): Der Satz von Riemann-Roch für globale Körper.

Spezialvorlesung(SS08): Elliptische Kurven mit komplexer Multiplikation.

Seminar(SS08): Algebraische K-Theorie.

Spezialvorlesung(WS07): Zyklotomische Iwasawa-Theorie.

Seminar(WS07): Rationale Punkte auf elliptischen Kurven.

Spezialvorlesung(SS07): Modulformen und L-Funktionen.

Hauptseminar(SS07): Fortführung der p-adische Hodge-Theorie.

Proseminar(SS07): Darstellungen endlicher Gruppen.

Seminar(WS06): Klassische und p-adische L-Funktionen.

Oberseminar(WS06): Einführung in die p-adische Hodge Theorie.

e-mail:bouganis(at)mathi.uni-heidelberg.de

"Die Logik ist zwar unerschütterlich, aber einem Menschen, der leben will, widersteht sie nicht", Josef K.