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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

102 26- PDF

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

86 20- PDF

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

22 5- PDF

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

45 4- PDF

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

32 4- PDF

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

24 4- PDF

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

31 4- PDF

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

15 3- PDF

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

29 3- PDF

Learning Algebraic Structures: Preliminary Investigations

TLDR

12 2- PDF