THE DAVE PAGE

To find Dave, try His office: Cardwell 26 His e-mail:  dav@math.ksu.edu      His office phone: (785)532-0577      His home phone: (785)537-2617      His work address:              Dave Auckly              Math Department              Kansas State University      His home address:              1821 Laramie               Manhattan, KS 66502

Lynden and I at the Beach

THE GREAT TEXAS SHOE CAPER Once upon a time, some bizzar stuff  started  appearing in Texas. At first, it just looked like small joke , but it  grew  and got  bigger . It  got huge and didn't even  stop .

Here are some of my math papers. If you would like a copy of one which is not posted on the net, just send me an e-mail.

• The Pontrjagin-Hopf invariants for Sobolev maps , (with L. Kapitanski), preprint.
• Introduction to the Gopakumar-Vafa large $N$ duality , (with S. Koshkin), Geometry & Topology Monographs 8 (2006) 195–456.
• The number of smooth 4-manifolds with a fixed complexity, International Mathematics Research Notices, Vol. 2007, Article ID rnm054, (2007) 19 pages.
• The interaction of finite-type and Gromov-Witten invariants at the Banff International Research Station (2003), (D Auckly and J Bryan ed) Geometry and Topology Monographs Vol 8
• Geometry and analysis in non-linear sigma models, (with L. Kapitanski and M. Speight), St.-Petersburg Mathematical Journal, Vol 18:1 (2006) 1-31
• Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models, (with M. Speight), Commun. Math Phys., Vol 263, (2006) 173-216
• Analysis of S^2 valued maps and Faddeev's model, (with L. Kapitanski, It appears as "Analysis of the Faddeev Model" on the arxiv), Commun. Math Phys., Vol 256:3, (2005) 611-620
• Solving the quartic with a pencil, American Mathematics Monthly 114 (2007), 29-39.
• Topologically knoted Lagrangians in simply connected four manifolds, Proc. Amer. Math. Soc., Vol 133 (2005) pp 885-889.
• Holonomy and Skyrme's model, (with L. Kapitanski), Commun. Math Phys., Vol 240 (2003) pp 97-122.
• On the lambda-equations for matching control laws, (with L. Kapitanski), SIAM J. Control Optim,Vol 41, no. 5 (2002) pp. 1372--1388
• (Review of) 4-manifolds and Kirby calculus, Bull. of AMS, Vol 38 (2001) pp 229-234.
• Matching and digital control implementation for underactuated systems, (with F. Andreev, L. Kapitanski, A. Kelkar, and W. White), Proceedings of the American Control Conference, Chicago, IL, (2000) pp 3934-3938. inverted pendulum cart video plus three inverted hydaulic pendulum videos
• Matching control laws for a ball and beam system, (with F. Andreev, L. Kapitanski, A. Kelkar, and W. White), Proc. IFAC Workshop on Lagrangian and Hamiltonian Methods for nonlinear control, Princeton, NJ, (2000) pp. 161-162.
• Matching, linear systems, and the ball and beam, (with F. Andreev, S. Gosavi, L. Kapitanski, A. Kelkar, and W. White), Automatica Math. J. 38, no. 12 (2002), 2147-2152. The first posted version (more index computations),    the ball and beam    the same picture in eps format
• Mathematical problems in the control of underactuated systems (with L. Kapitanski), CRM Proceedings and Lecture Notes , Vol 27 (2000), 41-52.
• Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization, Topology and its Applications, Vol 127 (2003), pp. 277-298.
• Control of Nonlinear Underactuated Systems (with L. Kapitanski and W. White), Comm. Pure Appl. Math., Vol 53 (2000), pp. 354-369.
• A topological method to compute spectral flow, Kyungpook Math. J. 38, no. 1 (1998), 181-203. See A better .pdf copy
• Homotopy K3 surfaces and gluing results in Seiberg-Witten theory, Volume 37 of Research Institute of Mathematics: Global Alalysis research center. Seoul National University.
• The Thurston norm and 3-dimensional Seiberg-Witten theory, Osaka J. Math. 33 (1996), 737-750.
• Surgery, Knots and the Seiberg-Witten Equations: Lectures for the 1995 TGRCIW<\a>, Proceedings of the TGRC-KOSEF 6 (1995), 1-70.
• Surgery numbers of 3-manifolds: a hyperbolic example, in Geometric Topology: Georgia International Topology Conference, August 2-13, 1993, 21-34.
• A family of M\"obius invariant 2-knot energies (with L. Sadun), in Geometric Topology: Georgia International Topology Conference, August 2-13, 1993, 235-258.
• Totally real origami and impossible paper folding (with John Cleveland), American Mathematics Monthly 102 (1995), 215-226.
• Topological methods to compute Chern-Simons invariants, Math. Proc. Camb. Phil. Soc. 115 (1994), 229-251.
• Chern-Simons invariants of 3-manifolds which fiber over S^1, International J. Math., vol. 5, no. 2 (1994), 179-188.
• Computing secondary and spectral invariants, dissertation, University of Michigan, 1991.

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Mountain Pictures

Here are some pictures from some past trips:


Spring climb on Mt Shasta page 1   Mt Shasta page 2
Mt Shasta page 3
Summer trip to the Tetons page 1  page 2: aproaching the Grand
page 3: start of the Exum route  page 4: the rest of the Exum route
page 5: The top of the grand  page 6: Teton wildlife and scenery
Pictures from various Yosemite trips page 1
Pictures from various Yosemite trips page 2
Waste management & climbing at Watson lake 1
The Canadian Rockies page 1   The Canadian Rockies page 2
Kananaskis Lakes page 1   Kananaskis Lakes page 2
Palisades page 1   Palisades page 2
Palisades page 3   Palisades page 4
Random cool places  Random cool places: part 2   Doug's roof
Pictures from Korea: page 1  Pictures from Korea: page 2
Pictures from Turkey: page 1  Pictures from Turkey: page 2
Pictures from India: page 1  Pictures from India: page 2  India: page 2.5
Pictures from India: page 3  Pictures from India: page 4
Pictures from India: page 5
Pictures from Joshua Tree
More to come



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LATEST TRIP

Summer trip to Olympic National Park 1  page 2: Climbing Mt Olympus - day 1
page 3: Climbing the second day  page 4: The top
page 5: Snowdome panorama


Updated 9-1-02