Find the fish (Autumn 2002)

Research

My research interests are Euler systems and special values of L-functions.

Preprints

On the Bloch-Kato conjecture and Iwasawa main conjecture for GO(4): (joint with G. Grossi and D. Loeffler) submitted (pdf)
Asai-Flach classes and p-adic L-functions: (joint with G. Grossi and D. Loeffler) submitted (pdf)
An Euler system for the adjoint of a modular form: (joint with D. Loeffler) submitted (pdf)
P-adic Asai L-functions for quadratic Hilbert eigenforms: (joint with G. Grossi and D. Loeffler) submitted (pdf)
On the Birch--Swinnerton-Dyer conjecture for modular abelian surfaces: (joint with D. Loeffler) preprint (pdf)
Spherical varieties and families of cohomology classes: (joint with D. Loeffler and R. Rockwood) submitted (pdf)
On the Bloch--Kato conjecture for GSp(4) x GL(2): (joint with D. Loeffler) submitted (pdf)
On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2): (joint with D. Loeffler) submitted (pdf)
P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2): (joint with D. Loeffler) submitted (pdf)
Iwasawa theory for quadratic Hilbert modular forms: (joint with D. Loeffler) submitted (pdf)
On the Bloch--Kato conjecture for GSp(4): (joint with D. Loeffler) submitted (pdf)

To appear

Vologodsky integration on curves with semi-stable reduction

(joint with A. Besser) to appear in Israel Jour. Math. (pdf)

Publications

Euler systems for GSp(4)

(joint with D. Loeffler and C. Skinner) J. Eur. Math. Soc. 24 (2022), no. 2, 669-733 (pdf)

An Euler system for GU(2,1)

(joint with D. Loeffler and C. Skinner) Math. Annalen 382 (2022), 1091-1141 (pdf)

On the Bloch--Kato conjecture for the symmetric cube

(joint with D. Loeffler) J. Eur. Math. Soc. 25 (2023), no. 8, 3359-3363 (pdf)

Higher Hida theory and p-adic L-functions for GSp(4)

(joint with D. Loeffler, V. Pilloni and C. Skinner) Duke Math. J. 170 (2021), no. 18, 4033-4121 (pdf)

Heegner points in Coleman families

(joint with D. Jetchev and D. Loeffler) Proc. LMS 122 (2021), no. 1, 124–152 (pdf)

Syntomic regulators of Asai--Flach classes

(joint with D. Loeffler and C. Skinner) Iwasawa 2017 Proceedings vol. 86 of Adv. Stud. Pure Math., Math. Soc. Japan, 2020, 595–638 (pdf)

Euler systems with local conditions

(joint with D. Loeffler) Iwasawa 2017 Proceedings vol. 86 of Adv. Stud. Pure Math., Math. Soc. Japan, 2020, 1–26 (pdf)

Rankin-Eisenstein classes for modular forms

(joint with G. Kings and D. Loeffler) American Jour. Math. 142 (2020), no. 1, 79–138 (pdf)

Euler systems for Hilbert modular surfaces

(joint with A. Lei and D. Loeffler) Forum of Mathematics, Sigma 6 (2018), e23 (pdf)

Iwasawa theory for the symmetric square of a modular form

(joint with D. Loeffler) J. Reine Angew. Math 752 (2019), 179–210. (pdf)

Rankin-Eisenstein classes and explicit reciprocity laws

(joint with G. Kings and D. Loeffler) Cambridge Journal of Math. 5 (2017), no. 1, 1 - 122 (pdf)

On the asymptotic growth of Bloch-Kato-Shafarevich-Tate groups of modular forms over cyclotomic extensions

(joint with A. Lei and D. Loeffler) Canadian Jour. Math. 69 (2017), no. 4, 826 - 850 (pdf)

Rankin--Eisenstein classes in Coleman families

(joint with D. Loeffler) Res. Math. Sci. 3 (2016), 29 (Robert Coleman memorial volume) (pdf)

Finite polynomial cohomology for general varieties

(joint with A. Besser and D. Loeffler) P-adic Variation in Number Theory (Glenn Stevens' 60th birthday), Annales mathématiques du Québec 40 (2016), no. 1, 203—220 (pdf)

Euler systems for modular forms over imaginary quadratic fields

(joint with A. Lei and D. Loeffler) Compositio Mathematica 151 (2015), no. 9, 1585—1625 (pdf)

Iwasawa theory and p-adic L-functions over Zp^2-extensions

(joint with D. Loeffler) International Journal of Number Theory 10 (2014), no. 8, 2045—2095 (pdf)

Local epsilon isomorphisms

(joint with D. Loeffler and O. Venjakob) Kyoto Journal of Mathematics 55 (2015), no. 1, 63—127 (pdf)

Euler systems for Rankin-Selberg convolutions

(joint with A. Lei and D. Loeffler) Annals of Math. 180 (2014), no. 2, 653—771 (pdf)

Critical slope p-adic L-functions for CM modular forms

(joint with A. Lei and D. Loeffler) Israel Journal of Math. 198 (2013), no. 1, 261—282 (pdf)

Signed Selmer groups over p-adic Lie extensions

(joint with A. Lei) Jour. Théorie de Nombres de Bordeaux, 24 (2012), no. 2, p. 377—403 (pdf)

Wach modules and critical slope p-adic L-functions

(joint with D. Loeffler) J. Reine Angew. Math., 679 (2013), p. 181—206 (pdf)

Bloch-Kato exponential maps for local fields with imperfect residue fields

Proc. London Math. Soc., 103 (2011), no. 6, p. 1007—1048 (pdf)

Coleman maps and the p-adic regulator

(joint with A. Lei and D. Loeffler) Algebra & Number Theory, 5 (2011), no. 8, p. 1095—1131 (pdf)

Akashi series of Selmer groups

Math. Proc. Camb. Phil. Soc., 151 (2011), no. 2, p. 229—243 (pdf)

Wach modules and Iwasawa theory for modular forms

(joint with A. Lei and D. Loeffler) Asian Journal of Mathematics 14 (2010), no. 4, p. 475—528 (pdf)

Generalized Euler characteristics of Selmer groups

Proc. London Math. Soc. 98 (2009), no. 3, p. 775—796 (pdf)

Euler characteristics of Selmer groups I

J. London Math. Soc. 70 (2004), no. 3, p. 586—608. (pdf)

My Erdős number is 5, via the path Erdős—Vaughan—Velani—Hill—Loeffler—Zerbes.