Dr. Suman Ahmed

RESEARCH, TEACHING, or OTHER INTERESTS

Algebra and Number Theory

Scopus Publications

On the algebraic functional equation for the mixed signed selmer group over multiple Zp-extensions
Suman Ahmed, Meng Fai Lim
Proceedings of the American Mathematical Society, 2021
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E"> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding="application/x-tex">E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be an elliptic curve defined over a number field with good reduction at all primes above a fixed odd prime <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding="application/x-tex">p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> , where at least one of which is a supersingular prime of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E"> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding="application/x-tex">E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> . In this paper, we will establish the algebraic functional equation for the mixed signed Selmer groups of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E"> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding="application/x-tex">E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> over a multiple <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper Z Subscript p"> <mml:semantics> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">Z</mml:mi> </mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> <mml:annotation encoding="application/x-tex">\mathbb {Z}_{p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -extension.
On the Algebraic Functional Equation of the Eigenspaces of Mixed Signed Selmer Groups of Elliptic Curves with Good Reduction at Primes above p
Suman Ahmed, Meng Fai Lim
Acta Mathematica Sinica English Series, 2021
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above p
Suman Ahmed, Meng Fai Lim
Acta Arithmetica, 2021
Let $p$ be an odd prime. We attach appropriate signed Selmer groups to an elliptic curve $E$, where $E$ is assumed to have semistable reduction at all primes above $p$. We then compare the Iwasawa $\lambda $-invariants of these signed Selmer groups for tw
On the euler characteristics of signed selmer groups
SUMAN AHMED, MENG FAI LIM
Bulletin of the Australian Mathematical Society, 2020
Let$p$be an odd prime number and$E$an elliptic curve defined over a number field$F$with good reduction at every prime of$F$above$p$. We compute the Euler characteristics of the signed Selmer groups of$E$over the cyclotomic$\\mathbb{Z}_{p}$-extension. The novelty of our result is that we allow the elliptic curve to have mixed reduction types for primes above$p$and mixed signs in the definition of the signed Selmer groups.
Root numbers and parity of local Iwasawa invariants
Suman Ahmed, Chandrakant Aribam, Sudhanshu Shekhar
Journal of Number Theory, 2017
λ-invariants of selmer groups of elliptic curves with positive μ-invariant
Journal of the Ramanujan Mathematical Society, 2015

RECENT SCHOLAR PUBLICATIONS

On the algebraic functional equation for the mixed signed Selmer group over multiple ℤ_ {𝕡}-extensions
S Ahmed, MF Lim
Proceedings of the American Mathematical Society 149 (11), 4541-4553 , 2021
2021
Citations: 4
On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above p
S Ahmed, MF Lim
Acta Mathematica Sinica, English Series 37 (2), 289-305 , 2021
2021
Citations: 2
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above
S Ahmed, MF Lim
Acta Arithmetica 197, 289-305 , 2021
2021
Citations: 5
On the Euler characteristics of signed Selmer groups
S Ahmed, MF Lim
Bulletin of the Australian Mathematical Society 101 (2), 238-246 , 2020
2020
Citations: 7
Root numbers and parity of local Iwasawa invariants
S Ahmed, C Aribam, S Shekhar
Journal of Number Theory 177, 285-306 , 2017
2017
Citations: 8
λ-invariants of Selmer groups of elliptic curves with positive µ-invariant
S Ahmed, S Shekhar
J. Ramanujan Math. Soc 30 (1), 115-133 , 2015
2015
Citations: 3

MOST CITED SCHOLAR PUBLICATIONS

Root numbers and parity of local Iwasawa invariants
S Ahmed, C Aribam, S Shekhar
Journal of Number Theory 177, 285-306 , 2017
2017
Citations: 8
On the Euler characteristics of signed Selmer groups
S Ahmed, MF Lim
Bulletin of the Australian Mathematical Society 101 (2), 238-246 , 2020
2020
Citations: 7
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above
S Ahmed, MF Lim
Acta Arithmetica 197, 289-305 , 2021
2021
Citations: 5
On the algebraic functional equation for the mixed signed Selmer group over multiple ℤ_ {𝕡}-extensions
S Ahmed, MF Lim
Proceedings of the American Mathematical Society 149 (11), 4541-4553 , 2021
2021
Citations: 4
λ-invariants of Selmer groups of elliptic curves with positive µ-invariant
S Ahmed, S Shekhar
J. Ramanujan Math. Soc 30 (1), 115-133 , 2015
2015
Citations: 3
On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above p
S Ahmed, MF Lim
Acta Mathematica Sinica, English Series 37 (2), 289-305 , 2021
2021
Citations: 2