Christopher Skinner
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American mathematician
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Christopher Skinnermathematics Degrees
Mathematics
#2523
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#3880
Historical Rank
#996
USA Rank
Measure Theory
#4793
World Rank
#5611
Historical Rank
#1334
USA Rank
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Mathematics
Christopher Skinner's Degrees
- Bachelors Mathematics Princeton University
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Why Is Christopher Skinner Influential?
(Suggest an Edit or Addition)According to Wikipedia, Christopher McLean Skinner is an American mathematician working in number theory and arithmetic aspects of the Langlands program. He specialises in algebraic number theory. Skinner was a Packard Foundation Fellow from 2001 to 2006, and was named an inaugural fellow of the American Mathematical Society in 2013. In 2015, he was named a Simons Investigator in Mathematics. He was an invited speaker at the International Congress of Mathematicians in Madrid in 2006.
Christopher Skinner's Published Works
Published Works
- The Iwasawa Main Conjectures for GL2 (2014) (261)
- Ternary Diophantine Equations via Galois Representations and Modular Forms (2004) (195)
- Residually reducible representations and modular forms (1999) (138)
- Nearly ordinary deformations of irreducible residual representations (2001) (105)
- Non-vanishing of quadratic twists of modular L-functions (1998) (95)
- The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One (2015) (67)
- Fourier coe cients of half-integral weight modular forms modulo (1998) (62)
- Base change and a problem of Serre (2001) (51)
- A note on the $p$-adic Galois representations attached to Hilbert modular forms (2009) (51)
- A converse to a theorem of Gross, Zagier, and Kolyvagin (2014) (46)
- p-Adic L-Functions for Unitary Shimura Varieties I: Construction of the Eisenstein Measure (2006) (46)
- Fourier coefficients of half-integral weight modular forms modulo ell (1996) (41)
- Multiplicative reduction and the cyclotomic main conjecture for GL2 (2014) (41)
- Ordinary representations and modular forms. (1997) (40)
- Forms over number fields and weak approximation (1997) (38)
- A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture (2014) (36)
- Indivisibility of Heegner points in the multiplicative case (2014) (31)
- The Rallis inner product formula and p-adic L-functions (2005) (28)
- Euler systems for GSp(4) (2017) (25)
- $p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS (2016) (23)
- On the modularity of ℚ-curves (2001) (23)
- A positive proportion of elliptic curves over Q have rank one (2014) (21)
- On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes (2020) (17)
- On the Iwasawa main conjectures for modular forms at non-ordinary primes (2018) (17)
- Galois representations associated with unitary groups over Q (2013) (17)
- Higher Hida theory and p-adic L-functions for GSp4 (2019) (14)
- Galois representations associated with unitary groups over $\mathbb Q$ (2012) (14)
- Rational points on nonsingular cubic hypersurfaces (1994) (13)
- The Iwasawa Main Conjectures for GL2 (2013) (12)
- p-adic L-functions for unitary groups, part II: zeta-integral calculations (2016) (11)
- Main Conjectures and Modular Forms (2004) (10)
- Syntomic regulators of Asai--Flach classes (2016) (9)
- Solvability of -adic diagonal equations (1996) (7)
- Congruence Properties of Values of L-Functions and Applications (1999) (6)
- A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one (2014) (5)
- On the diophantine equation apx + bqy = c + dpzqw (1990) (5)
- Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field (2017) (5)
- An Euler system for GU(2, 1) (2020) (4)
- CLOSED IMMERSIONS OF TOROIDAL COMPACTIFICATIONS OF SHIMURA VARIETIES (2019) (4)
- LECTURES ON THE IWASAWA THEORY OF ELLIPTIC CURVES (2018) (3)
- GALOIS REPRESENTATIONS, IWASAWA THEORY, AND SPECIAL VALUES OF L-FUNCTIONS (2018) (2)
- Modularity of Galois representations (2003) (2)
- L-Functions for Unitary Shimura Varieties I : Construction of the Eisenstein Measure To (2005) (2)
- $$p^\infty $$-Selmer groups and rational points on CM elliptic curves (2022) (1)
- IWASAWA THEORY OF ELLIPTIC CURVES LECTURES BY CHRISTOPHER SKINNER, NOTES BY TONY FENG (2018) (1)
- On p-adic L-functions for GSp(4) and GSp(4) x GL(2) (2019) (1)
- Towards Main Conjectures for Modular Forms(Automorphic Forms and Automorphic L-Functions) (2006) (1)
- Non-symmetric 2-designs modulo 2 (1993) (1)
- Mazur's main conjecture at Eisenstein primes (2023) (1)
- Solvability of systems of diagonal equations over p ‐adic local fields (2020) (1)
- A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes (2023) (0)
- .On the Diophantine Equation ap" + bqy = c + dp'q" (1990) (0)
- Fourier coefflcients of half-integral weight modular forms modulo t (2016) (0)
- ON THE IWASAWA THEORY OF RATIONAL ELLIPTIC CURVES AT EISENSTEIN PRIMES (2020) (0)
- p∞-SELMER GROUPS AND RATIONAL POINTS ON CM ELLIPTIC CURVES (2022) (0)
- Main Conjectures for Modular Forms(Automorphic and (2018) (0)
- p ∞ -SELMER GROUPS AND RATIONAL POINTS ON ELLIPTIC CURVES WITH (2021) (0)
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