Dr. Thanasis Bouganis


Research interests: Iwasawa Theory, Arithmetic of Automorphic Forms, Error-Correcting Codes.

I am an Associate Professor in the Department of Mathematical Sciences, Durham University.

CV in English: CV.

Workshop: "Arithmetic of automorphic forms and special L-values", (Durham, March 26-27, 2018).

Teaching: Topics in Algebra and Geometry IV.

Teaching in previous years: Complex Analysis II, (Epiphany 2017), Algebraic Geometry III/IV (2015-2016), Elementary Number Theory and Cryptography II (2014-2015), Algebraic Geometry III/IV (Michaelmas 2013).

Grant: My research is supported by the EPSRC First-Grant (EP/N009266/1), Arithmetic of automorphic forms and special L-Values, April 2016-April 2018, (one-year Research Associate from April 2016 to APril 2017: Dr. Jolanta Marzec ).

Publications:

(with J. Marzec) On the standard L-function attached to Siegel-Jacobi modular forms of higher index, submitted.

On special L-values attached to metaplectic modular forms, Math. Z (2017) online first,

p-adic measures for Hermitian modular forms and the Rankin-Selberg method, in Elliptic Curves, Modular Forms and Iwasawa Theory (in honour of John Coates’ 70th birthday), D. Loeffler and S. Zerbes eds, Springer, Proceedings in Mathematics and Statistics series. (2016), p 33-86

On the Algebraicity of Special L-Values of Hermitian modular forms, Documenta Math. 20 (2015),p 1293-1329

Non-abelian p-adic L-functions and Eisenstein series of unitary groups; the CM method, Annales de l'Institut Fourier (2014), Vol. 64 no. 2 (2014), p. 793-891

On Special L-Values attached to Siegel Modular Forms, in Iwasawa Theory 2012 - State of the Art and Recent Advances, Contributions in Mathematical and Computational Science, Th. Bouganis and O. Venjakob eds, Springer, Volume 7, 2014, p 135-176,

The Mobius-Wall congruences for p-adic L-functions of CM elliptic curves, Math. Proc. Camb. Phil. Soc. 156(01): 183-192. (2014),

Non abelian congruences between special values of L-functions of elliptic curves; the CM case, Int. J. 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).

Other scientific activities

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

I lectured in the Sardinian Summer School in Iwasawa Theory, August 6-12, 2012.