Knudson, Kevin P.

26 papers

3824298
Knudson, Kevin(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Wang, Bei(1-UT-SCP)

School of Computing, University of Utah
Salt Lake City, Utah, 84112
Discrete stratified Morse theory: a user's guide. (English summary) 34th International Symposium on Computational Geometry, Art. No. 54, 14 pp.,
LIPIcs. Leibniz Int. Proc. Inform., 99, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018.
57Q10 (55U10)

3766697
Knudson, Kevin P.(1-FL-NDM)

University of Florida
Gainesville, Florida, 32611
Cutting against the grain: volumes of solids of revolution via cross-sections parallel to the rotation axis. (English summary)
College Math. J. 49 (2018), no. 2, 114-120.
26A06 (97I50)

3615357
Knudson, Kevin P.(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Franz and Georg: Cantor's mathematics of the infinite in the work of Kafka. (English summary)
J. Humanist. Math. 7 (2017), no. 1, 147-154.
00A99

3615357
Knudson, Kevin P.(1-FL)

3535328
King, Henry(1-MD); Knudson, Kevin(1-FL); Mramor Kosta, Neža(SV-LJUB-CIF)
Birth and death in discrete Morse theory. (English summary)
J. Symbolic Comput. 78 (2017), 41-60.
57Q10 (57R70 58E05 65D18 68U05)

3379451
Knudson, Kevin P.(1-FL-NDM)
Morse theory.
Smooth and discrete. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015. xiv+181 pp. ISBN: 978-981-4630-96-2
57Q10 (57-02 58E05)

2572546 (2010k:76100)
Brown, Kenneth A.(1-SC); Knudson, Kevin P.(1-MSS)
Nonlinear statistics of human speech data. (English summary)
Internat. J. Bifur. Chaos Appl. Sci. Engrg. 19 (2009), no. 7, 2307–2319.
76Q05 (37M10 55N99 92B05)

2465740 (2009j:20062)
Knudson, Kevin P.(1-MSS)
Homology and finiteness properties of ${\rm SL}_2(\Bbb Z[t,t^{-1}])$ ${\rm SL}_2(\Bbb Z[t,t^{-1}])$ . (English summary)
Algebr. Geom. Topol. 8 (2008), no. 4, 2253–2261.
20G10 (20F05 20F65 20G35)

2399474 (2009d:55008)
Knudson, Kevin P.(1-MSS)
A refinement of multi-dimensional persistence. (English summary)
Homology, Homotopy Appl. 10 (2008), no. 1, 259–281.
55N99 (55U35)

2371265 (2008j:20147)
Knudson, Kevin P.(1-MSS)
Relative completions of linear groups over coordinate rings of curves. (English summary)
Comm. Algebra 35 (2007), no. 12, 3904–3908.
20G35 (19D55 20E18 20F14 55P60)

2214395 (2007e:20106)
Knudson, Kevin P.(1-MSS)
The homology of invariant group chains.
J. Algebra 298 (2006), no. 1, 15–33.
20J05

2193806 (2006j:57049)
King, Henry(1-MD); Knudson, Kevin(1-MSS); Mramor, Neža(SV-LJUB-MPM)
Generating discrete Morse functions from point data. (English summary)
Experiment. Math. 14 (2005), no. 4, 435–444.
57Q99 (57R70 58E05 68U05)

2161800 (2006c:20077)
Knudson, Kevin P.(1-MSS)
On the kernel of the Gassner representation. (English summary)
Arch. Math. (Basel) 85 (2005), no. 2, 108–117.
20F36

2067195 (2005f:14041)
Knudson, Kevin P.(1-MSS); Walker, Mark E.(1-NE)
Homology of linear groups via cycles in $BG\times X$ $BG\times X$ . (English summary)
J. Pure Appl. Algebra 192 (2004), no. 1-3, 187–202.
14F43 (14C25 19E15 20G10 55N91)

1969633 (2004b:20066)
Knudson, Kevin P.(1-MSS)
Unstable homotopy invariance for finite fields. (English summary)
Fund. Math. 175 (2002), no. 2, 155–162.
20G10

1875144 (2002m:20077)
Knudson, Kevin P.(1-WYNS)
Relative completions and the cohomology of linear groups over local rings.
J. London Math. Soc. (2) 65 (2002), no. 1, 183–203.
20G35 (20E18 20F14 20G10)

1872805 (2002k:20088)
Knudson, Kevin P.(1-WYNS)
Congruence subgroups and twisted cohomology of ${\rm SL}_n(F[t])$ ${\rm SL}_n(F[t])$ . II. Finite fields and number fields. (English summary)
Comm. Algebra 29 (2001), no. 12, 5465–5475.
20H05 (20G10)

1837261 (2002e:20088)
Knudson, Kevin P.(1-WYNS)
Correction to: "Relative completions of linear groups over ${\bold Z}[t]$ ${\bold Z}[t]$ and ${\bold Z}[t,t^{-1}]$ ${\bold Z}[t,t^{-1}]$ '' [Trans. Amer. Math. Soc. 352 (2000), no. 5, 2205--2216; MR1641103 (2000j:20081)].
Trans. Amer. Math. Soc. 353 (2001), no. 9, 3833–3834 (electronic).
20G10 (19D55 20G35 55P60)

1807154 (2001j:20070)
Knudson, Kevin P.(1-WYNS)
Homology of linear groups. (English summary)
Progress in Mathematics, 193. Birkhäuser Verlag, Basel, 2001. xii+192 pp. ISBN: 3-7643-6415-7
20G10 (19-02)

1758571 (2001a:20074)
Knudson, Kevin P.(1-NW)
Unstable homotopy invariance and the homology of ${\rm SL}_2(\bold Z[t])$ ${\rm SL}_2(\bold Z[t])$ . (English summary)
J. Pure Appl. Algebra 148 (2000), no. 3, 255–266.
20G10

1641103 (2000j:20081)
Knudson, Kevin P.(1-NW)
Relative completions of linear groups over $\bold Z[t]$ $\bold Z[t]$ and $\bold Z[t,t^{-1}]$ $\bold Z[t,t^{-1}]$ . (English summary)
Trans. Amer. Math. Soc. 352 (2000), no. 5, 2205–2216.
20G10 (19D55 20G35 55P60)

1743240 (2001f:20092)
Knudson, Kevin P.(1-NW)
Integral homology of ${\rm PGL}_2$ ${\rm PGL}_2$ over elliptic curves. Algebraic $K$ $K$ -theory (Seattle, WA, 1997), 175–180,
Proc. Sympos. Pure Math., 67, Amer. Math. Soc., Providence, RI, 1999.
20G10 (11G99)

1670270 (2000b:20056)
Knudson, Kevin P.(1-NW)
On the $K$ $K$ -theory of elliptic curves. (English summary)
J. Reine Angew. Math. 507 (1999), 81–91.
20G10 (14C35 14H52 19D45 19F27)

1644239 (99i:20059)
Knudson, Kevin P.(1-NW)
Congruence subgroups and twisted cohomology of ${\rm SL}_n(F[t])$ ${\rm SL}_n(F[t])$ .
J. Algebra 207 (1998), no. 2, 695–721.
20G10

1443493 (98c:20087)
Knudson, Kevin P.(1-DUKE)
The homology of special linear groups over polynomial rings. (English, French summary)
Ann. Sci. École Norm. Sup. (4) 30 (1997), no. 3, 385–415.
20G10 (19D50 19D55)

1375567 (97d:20053)
Knudson, Kevin P.(1-DUKE)
The homology of ${\rm SL}_2(F[t,t^{-1}])$ ${\rm SL}_2(F[t,t^{-1}])$ .
J. Algebra 180 (1996), no. 1, 87–101.
20G10