Florian Ito Sprung 

Current teaching

Articles:

On Iwasawa main conjectures for elliptic curves at supersingular primes: beyond the case a = 0, Advances in Mathematics 449 (2024), 47p.

Studying Hilbert's 10th problem via explicit elliptic curves, with Debanjana Kundu and Antonio Lei, Mathematische Annalen (in press) (Slides)

On characteristic power series of dual signed Selmer groups, with Jishnu Ray, Annales de l'Institut Fourier (to appear)

La matrice de logarithme en termes de chiffres p-adiques, Annales Mathématiques du Québec (in press)

Cotorsion of anti-cyclotomic Selmer groups on average, with Debanjana Kundu, Proceedings of the AMS 152 (2024), 521-535

Chromatic Selmer groups for imaginary quadratic fields, Journal de Théorie des Nombres de Bordeaux 33 (2021), 1103-1114

Ranks of elliptic curves over Zₚ²-extensions, with Antonio Lei, Israel Journal of Mathematics 236 (2020), 183–206 (Video)

Consequences of the functional equation for pairs of p-adic L-functions, with Cédric Dion, Abhandlungen aus dem mathematischen Seminar Hamburg 89 (2019), 203–208

Integral Euler systems and main conjectures, RIMS Kokyuroku Bessatsu 72 (2018), 135–145 

Zeta-polynomials for modular form periods, with Ken Ono and Larry Rolen, Advances in Mathematics 306 (2017), 328-343

On pairs of p-adic L-functions for weight two modular forms, Algebra and Number Theory 11 (2017), 885–928

A formulation for p-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case, Research in Number Theory 1 (2015), 13p

The Šafarevič-Tate group in cyclotomic Zp-extensions at supersingular primes, Journal für die reine und angewandte Mathematik (Crelles Journal) 681 (2013), 199–218

The p-parts of Tate-Shafarevich groups of elliptic curves, RIMS Kokyuroku Bessatsu B32 (2012), 51−60

Iwasawa theory for elliptic curves at supersingular primes: A pair of main conjectures, Journal of Number Theory 132 (2012), 1483-1506 (Video with Shinichi Kobayashi and Robert Pollack)

On elliptic curve Iwasawa theory, Kinosaki Newcomer Seminar 6 (2010), 11p

Translations:

Elliptic Curves with Supersingular Reduction over Gamma-extensions, with Igor Minevich. Original article by Anas G. Nasybullin in Uspekhi Matematicheskikh Nauk 32 (1977), no. 2, 221–222

Preprints:

On the signed Selmer groups for motives at non-ordinary primes in Z²-extensions, with Jishnu Ray

On the Iwasawa main conjecture for modular forms at non-ordinary primes, with F. Castella, M. Çiperiani, and C. Skinner

I have two last names, Ito and Sprung. 

The Kirakuen retirement home was where I worked before getting into academia.

Kodaira once wrote an essay on how to read. 

ian.sprung[at]gmail[dot]com

Brief vita

My work is supported by NSF grant 2001280. 




901 S Palm Walk

216 Wexler Hall

Tempe, AZ 85287-1804

USA

Phone: 480-727-2468