Ravi Ramakrishna

发表

Hypergeometric Functions over Finite Fields

Holly Swisher, Jenny G. Fuselier, J. Fuselier, 2015, 2017 MATRIX Annals.

Some supercongruences occurring in truncated hypergeometric series

L. Long, Ravi Ramakrishna, Ling Long, 2014, 1403.5232.

LIFTING TORSION GALOIS REPRESENTATIONS

C. Khare, Ravi Ramakrishna, 2014, Forum of Mathematics, Sigma.

Deformations of certain reducible Galois representations, II

Ravi Ramakrishna, Spencer Hamblen, 2008 .

Constructing semisimple p-adic Galois representations with prescribed properties

M. Larsen, Ravi Ramakrishna, Chandrashekhar B. Khare, 2003, math/0309283.

Excluded-minor Characterization of Apex-outerplanar Graphs List of Figures 2.1 Starting List of Excluded Minors for O

D. Kozen, J. Oxley, G. Ding, 2022 .

Infinitely ramified Galois representations.

Ravi Ramakrishna, 2000, math/0003241.

On Ozaki's theorem realizing prescribed $p$-groups as $p$-class tower groups

F. Hajir, Christian Maire, Ravi Ramakrishna, 2022, 2204.08408.

Infinite class field towers of number fields of prime power discriminant

F. Hajir, Christian Maire, Ravi Ramakrishna, 2019, Advances in Mathematics.

Deforming an Even Representation II, Raising the Level☆

Ravi Ramakrishna, 1998 .

Cutting towers of number fields

F. Hajir, Christian Maire, Ravi Ramakrishna, 2019, Annales mathématiques du Québec.

Transcendental $\ell$-adic Galois representations

M. Larsen, Ravi Ramakrishna, Chandrashekhar B. Khare, 2004, math/0404254.

On a variation of Mazur's deformation functor

Ravi Ramakrishna, 1993 .

Deforming an even representation

Ravi Ramakrishna, 1998 .

Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur

Ravi Ramakrishna, 2002 .

Inflnitely ramifled Galois representations

Ravi Ramakrishna, 2000 .

Lifting Galois representations

Ravi Ramakrishna, 1999 .

Deficiency of p-Class Tower Groups and Minkowski Units

Farshid Hajir, Christian Maire, Ravi Ramakrishna, 2021, 2103.09508.

On the Shafarevich group of restricted ramification extensions of number fields in the tame case

Farshid Hajir, Christian Maire, Ravi Ramakrishna, 2019, Indiana University Mathematics Journal.

N T ] 9 S ep 2 01 9 ON THE SHAFAREVICH GROUP OF RESTRICTED RAMIFICATION EXTENSIONS OF NUMBER FIELDS IN THE TAME CASE by

F. Hajir, Christian Maire, Ravi Ramakrishna, 2019 .

Finiteness of Selmer groups and deformation rings

C. Khare, Ravi Ramakrishna, 2002, math/0211006.

On tame ${\mathbb Z}/p{\mathbb Z}$ extensions with prescribed ramification

F. Hajir, Christian Maire, Ravi Ramakrishna, 2022, 2208.05007.

Maps to weight space in Hida families

Ravi Ramakrishna, 2014 .

sgn(ap) and Isogeny Classes of Elliptic Curves

Ravi Ramakrishna, S. Lee, 2019 .