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Publications and Preprints

[I1] Sur les Anneaux Artiniens locaux de type fini de Représéntation, by A.Iovita -- Bull.Math. de la Soc.Sci.Math. de Roumanie, Tome 32,(80), nr.2, 131-135,(1988)

[IZ1] Completions of r.a.t.-valued fields of rational functions, by A.Iovita and A.Zaharescu -- J. of Number Theory, vol. 50-2,202-206, (1995).

[IZ2] Nondiscrete local ramified class field theory, by A.Iovita and A.Zaharescu, J.Math.Kyoto Univ.,35-2,325-339,(1995).

[IZ3] Galois Theory for the ring of p-adic periods, by A.Iovita and A.Zaharescu --Compositio Math., vol. 117,1-31 (1999).

[CI1] Frobenius and Monodromy Operators for Curves and Abelian Varieties, by R.Coleman and A.Iovita -- Duke J. of Math., vol. 97-1,171-217,(1999).

[IZ4] Generating Elements for the ring of p-adic periods by A.Iovita and A.Zaharescu -- J.Math. Kyoto Univ., volume 39-2, 233-249, (1999)

[I2] Formal Sections and de Rham Cohomolgy of Semistable Abelian Varieties, by A.Iovita, Israel J. of Math.,120,429-447,(2000).

[IS1] Logarithmic differential forms on p-adic symmetric spaces, by A.Iovita and M.Spiess, Duke Math. Journal, vol 110, No 2, 253-278(2001) ps file.

[BDIS] Teitelbaum's Exceptional Zero Conjecture by M.Bertolini, H.Darmon, A.Iovita, M.Spiess, A.J.M. 124, 411-449, (2002)

[IS2] Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms by A.Iovita and M.Spiess, Invent.Math. 154, No 2, 333-384, (2003)

[IW] p-Adic height pairings on abelian varieties with semistable ordinary reduction by A.Iovita and A.Werner, Journal fuer die reine und angewandte Mathematik, 564, 181-203, (2003)

[IP]Iwasawa Theory of Elliptic Curves at Supersingular Primes over Towers of Extensions of Number Fields by A.Iovit and R.Pollack, Journal fur die reine und angewande Mathematik, 598, 71-103, (2006)

[DI]Anticyclotomic Main Conjecture for supersingular elliptic curves, by H.Darmon and A.Iovita, 29 September 2007 draft, accepted in JIMJ, pdf file

[AI] Global applications of relative (Phi-Gamma)-modules,I by F.Andreatta and A.Iovita, November 2007 draft, accepted for publication in Asterisque pdf file

[BDI] Families of automorphic forms on definite quaternion algebras and Teitelbaum's conjecture, by M.Bertolini, H.Darmon, A.Iovita, March 2006 draft, accepted for publication in Asterisque, pdf file

[CI2] Hidden Structures on Semi-Stable Curves by R.Coleman and A.Iovita, 3 December 2007 draft, submitted for publication, pdf file

[AI2] Comparison Isomorphisms for Formal Schemes by F. Andreatta and A. Iovita, submitted for publication, pdf file

Mathematical interests

Explicit description of the local Galois representations attached to modular forms and global applications

My Boston University PhD thesis (1996,[CI1]) dealt with the problem of explicitly describing the p-adic Tate module of a split semi-stable abelian variety over a local field via Fontaine's theory. Together with R.Coleman we showed that the Frobenius and monodromy operators on the Dieudonné module can be described by p-adic integration, respectively a residue map on the de Rham cohomology of the abelian variety. As a consequence we proved that an abelian variety over a local field has good reduction if and only if its p-adic Tate module is crystalline.

In 2000 we were able to extend these results [CI2] to describing the p-adic Galois representations attached to higher weight modular forms by explicitly describing the log-crystalline cohomology with coefficients in a filtered F-isocrystal on curves over local fields with semi-stable reduction. As a result of this we proved that the L-invariants defined by Fontaine-Mazur and Coleman are the same.

p-Adic L-functions

In 1998, while a postdoc at CICMA Montreal I became intereseted in anticyclotomic p-adic L-functions attached to modular forms. Together with Bertolini, Darmon and Spiess we proved that the p-adic L-functions attached to elliptic curves over the rationals by Bertolini and Darmon are in fact Mellin transforms of certain boundary measures previously introduced by P.Schneider. This more conceptual construction allowed us to define anticyclotomic p-adic L-functions attached to higher weight modular forms and prove (in the case when p is split in the imaginary quadratic field) Teitelbaum's exceptional zero conjecture for these p-adic L-functions ([BDIS]). The similar cyclotomic result, known as the Mazur-Tate-Teitelbaum conjecture was proved by Kato-Kurihara-Tsuji and G.Stevens.

More recently, together with M.Spiess we dealt with the case when p is inert in the imaginary quadratic field and proved a p-adic Gross-Zagier formula relating the derivative of the anticyclotomic p-adic L-function attached to a higher weight modular form to the p-adic Abel-Jacobi map of the Heegner cycle ([IS2]). A cyclotomic result in this direction (still very different) was proved by J.Nekovar.