Domain > walterstromquist.com

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2025-01-08	216.239.138.127 (ClassC)

HTTP/1.1 200 OKServer: openresty/1.15.8.2Date: Wed, 08 Jan 2025 17:53:08 GMTContent-Type: text/htmlContent-Length: 6891Connection: keep-aliveVary: Accept-EncodingLast-Modified: Sat, 29 Dec 2018 02:02:56 GMTETag: 1aeb-57e1f940a9c1dAccept-Ranges: bytesX-Proxy-Cache: MISS

!DOCTYPE html>html>head>TITLE>Walter Stromquists home page/TITLE>/head>body>TABLE border0 cellspacing30 cellpadding0 width90%>tr>td>center>    img srcStromquist.jpg width120 height169 altwrs pic>    /center>/td>td>H2>Walter Stromquists home page/H2>p>I am a mathematician, living with my wife Mary Stromquist in Berwyn, near Philadelphia, Pennsylvania./p>  p>I have worked mostly as a consultant on topics such as submarine tactics, oil field valuation, and financial risk management.  I have taught mathematics, most recently at Bryn Mawr College, Swarthmore College, and the AwesomeMath Summer Program, and am a past editor of i>Mathematics Magazine/i>, published by the Mathematical Association of America./p> /td>/table>p>Go to my a hrefpublications.html>Research and publications page/a>br>!-- Go to my a hrefartlinks.html>art links page/a>br> -->Go to the a hreffamily/index.html>Hughes-Carpenter family directory page/a> (password required)br>Go to my a hrefbradshaw/index.html>Bradshaw family history page/a>br>See photos from the a href315thEngineers/index.html>315th Engineering Battalion,/a> 90th Infantry Division in WW2.br>Send me email at a hrefmailto:mail1@walterstromquist.com>mail1@walterstromquist.com/a>/p>table>tr>p>a hrefhttp://as.nyu.edu/content/dam/nyu-as/faculty/documents/Competition%20in%20Service%20Sports.pdf>b>Catch-Up: A Rule That Makes Service Sports More Competitive,/b>/a> by Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour, and WRS, i>American Mathematial Monthly/i> 125:9 {November, 2018).  What if the loser serves the next point?  (The link is to another authors page.  There is also an a hrefhttps://kclpure.kcl.ac.uk/portal/files/87969990/Service_Sports.pdf>near-final authors version./a>/p>br>tr>td>img srcbidding1.jpg HEIGHT60 WIDTH100 ALIGNTOP>  br>td>b>A Bidding Model for Auctions of Offshore Energy Sites/b>br>A presentation at the Eastern Economic Association, March 1, 2009, by Radford Schantz and /pa hrefeea.pdf>Paper/a> (pdf) and a hrefeea.ppt>Powerpoint presentation/a> (2003 ppt)/tr>/table>p>Two recent presentations on pies and cakes:br>a hrefEvanstonPies.ppt>Cutting a Pie is Not a Piece of Cake/a> - presented at the World Congress of the Game Theory Society, Northwestern University, Evanston, IL, July 13, 2008.  Reports Joint work with Julius Barbanel and Steven Brams, to appear in the American Mathematical Monthly in 2009.br>a hrefCakesPies.ppt>CakesPies.ppt/a> - presentation to the graduate combinatorics seminar at Rutgers University, October 4, 2007./p>table>tr>td>img srcpiecutter.jpg HEIGHT60 WIDTH60 ALIGNTOP>  br>br>br>br>br>td>b>Fair division: /b> Both of the following papers are also available as part of a hrefhttp://drops.dagstuhl.de/portals/index.php?semnr07261>Dagstuhl Seminar Proceedings 07261/a> (link to Dagstuhls archive).br>br>a hrefPieExampleDSP.pdf>A pie that cant be cut fairly/a> (10-page pdf)---paper for the Dagstuhl Seminar Proceedings, giving an example of three measures on a pie for which there is no division that is both envy free and undominated.  Earlier versions (from the Seminar on Fair Division, June, 2007): a hrefPieAbstract.pdf>Abstract/a> (1-page pdf), a hrefPieExample.pdf>Paper/a> (11-page pdf), a hrefPresentationDSP.ppt>Presentation/a> (PowerPoint presentation).br>br>a hrefFiniteMethodsDSP.pdf>Envy-free cake divisions cannot be found by finite protocols/a> (9-page pdf)---For the same Proceedings, this paper shows that no finite protocol can guarantee to find an envy-free division of a cake among three claimants, if each is to receive a single connected piece.  Earlier version (from the Seminar): a hrefFiniteMethods.pdf>FiniteMethods.pdf./a>/tr>/table>p>Here are materials for participants in the a href2005minicourse/index.html>MAA Minicourse on Mathematical Finance/a> presented January 5 and 7, 2005 at the mathematics meetings in Atlanta, GA, AND August 4-5, 2005 at the Mathfest in Albuquerque, NM./p>p>img srcdensities.jpg HEIGHT60 WIDTH60 ALIGNCENTER>  Also, a hrefDensitiesAtAltitude.ppt>here is a PowerPoint presentation about packing densities/a> from the conference on Graph Theory With Altitude, May 17-20, 2005./p>p>img src2413.jpg HEIGHT60 WIDTH60 ALIGNCENTER>  ...and a more narrowly-focused PowerPoint presentation about a hrefMeasuresAnd2413.ppt>packing rates of measures and the packing density of the pattern 2413/a> from the Permutation Patterns 2007 conference, June 11-15, 2007.p>a hrefPOSETS.DOC>img srclayered3.jpg ALIGNCENTER>/a> a hrefPOSETS.DOC>POSETS.DOC --- Here is a 1993 memorandum on packing densities/a> of layered patterns (WORD document with graphics, 10 pages).  It is the final version, and also the version that has been cited in various subsequent publications.  It includes a detailed verification of the packing density of 132, but its main theorem is that layered permutaions (resp. posets) have layered permutations (resp. posets) as optimizers.  The best current proof of this result (based on ideas in Reid Bartons Morgan Prize paper) is in the DensitiesAtAltitude presentation (above)./p>p>Link to my web page at Swarthmore College (mostly just for this semesters classes): a hrefhttp://www.swarthmore.edu/NatSci/wstromq1/>http://www.swarthmore.edu/NatSci/wstromq1//a>/p>p>Chesco.com has gone out of the personal webpage business, so our family website is in flux.  For the time being, here is the a hreffamily/index.html>the Hughes-Carpenter Family Directory Page/a> (password required) and here is our page of a hrefbradshaw/index.html>Bradshaw family history/a> (no password needed) which includes a linkto the a hrefbradshaw/bradshawbible.html>Bradshaw family Bible./a>/p>p>a href315thEngineers/index.html>Here are two photographs/a> from the 315th Engineering Battalion, 90th Infantry Division in WW2.!--p>I have long resolved to assemble a collection of small math articles on this website -- whatever happens to come up, whether it is research or exposition, narrowly or broadly focused.  And now I begin.  These things will have a page of their own soon, but for now there is just one item:br>a hrefcomposition1.pdf>composition1.pdf/a> --- Why a quadratic form, composed with itself, gives the principal form (in the even-discriminant case) (pdf, 2 pages)-->p>You can send me email at a hrefmailto:mail1@walterstromquist.com>mail1@walterstromquist.com/a>./p>/body>/html>

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