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- Publications
- Influence
The motivic fundamental group of P1∖{0,1,∞} and the theorem of Siegel
- M. Kim
- Mathematics
- 7 April 2005
In this paper, we establish a link between the structure theory of the pro-unipotent motivic fundamental group of the projective line minus three points and Diophantine geometry. In particular, we… Expand
The Spitzer Extragalactic Representative Volume Survey (SERVS): Survey Definition and Goals
- J. Mauduit, M. Lacy, +81 authors C. Xu
- Physics
- 18 June 2012
We present the Spitzer Extragalactic Representative Volume Survey (SERVS), an 18 square degrees medium-deep survey at 3.6 and 4.5 microns with the post-cryogenic Spitzer Space Telescope to ~2 microJy… Expand
A p-adic nonabelian criterion for good reduction of curves
- F. Andreatta, A. Iovita, M. Kim
- Mathematics
- 1 October 2015
3 Universal unipotent objects 9 3.1 The Kummer etale site . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 The etale category . . . . . . . . . . . . . . . . . . . . . . . . . .… Expand
Heat-mapping: A robust approach toward perceptually consistent mesh segmentation
- Y. Fang, Mengtian Sun, M. Kim, K. Ramani
- Mathematics, Computer Science
- CVPR
- 20 June 2011
TLDR
Massey products for elliptic curves of rank 1
- M. Kim
- Mathematics
- 29 January 2009
For an elliptic curve over Q of analytic rank 1, we use the level-two Selmer variety and secondary cohomology products to find explicit analytic defining equations for global integral points inside… Expand
p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication
- M. Kim
- Mathematics
- 28 October 2007
We show how the finiteness of integral points on an elliptic curve over Q with complex multiplication can be accounted for by the nonvanishing of L-functions that leads to bounds for dimensions of… Expand
The unipotent Albanese map and Selmer varieties for curves
- M. Kim
- Mathematics
- 20 October 2005
We study the unipotent Albanese map that associates the torsor of paths for p-adic fundamental groups to a point on a hyperbolic curve. It is shown that the map is very transcendental in nature,… Expand
PURELY INSEPARABLE POINTS ON CURVES OF HIGHER GENUS
- M. Kim
- Mathematics
- 1997
has solution (t, 1) in K = k(t). Given any such f we can keep ‘twisting’ its coefficients with the Frobenius map of K and get new polynomials f (x, y) (by which we denote the nth twist) and new… Expand
Selmer varieties for curves with CM Jacobians
We study the Selmer variety associated to a canonical quotient of the $\Q_p$-pro-unipotent fundamental group of a smooth projective curve of genus at least two defined over $\Q$ whose Jacobian… Expand
Learning Algebraic Structures: Preliminary Investigations
TLDR